diff --git "a/data/dm_maths/full_data/2083_11255.jsonl" "b/data/dm_maths/full_data/2083_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2083_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let d = -1\/12 - -19\/12. Let f(g) = -g**3 + 3*g**2 + 3*g + 2. Let r be f(4). Let o be r*(33\/(-15) + 2). Sort o, 0.1, d in ascending order.\nAnswer: 0.1, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1754+-210\nAnswer: -1964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/198)\/(((-4)\/3)\/(-2))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 715*w + 278*w - 233*w.\nAnswer: 760*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 1852 - 18 = 0. Suppose 3*a - j - 196 = 0. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 2*j**2 - 6*j + 2. Let n be v(0). Solve 5*d + n = -2*h, -4*d + 0*d = 3*h - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/(-80) - (-25863690)\/8. Suppose 2*s + 14367025 = -r. Let i be 3 - ((-8)\/2 + s). Round i to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 4493692\/(-105) - 2\/(-5). Let i = -647603\/15 - j. Let z = i - -374. Which is the nearest to -1? (a) z (b) 5 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/30)\/((-28)\/35). What is the nearest to -7\/4 in v, -3, 3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2062928 = 2722072. What is k rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-96)\/10)\/(3\/600*15). Is 0\/(-7) - a - 6 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1533, -3110, -4727, -6384?\nAnswer: -8081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -42*f**3 + 13*f**2 - 40*f + 34. Give o(2).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -n**5\/20 - 5*n**4\/6 - 4*n**3\/3 + 13*n**2\/2 - 7*n. Let x be k(-9). Solve -2*h = -x*l + 2, -3*l = -h - 8*l - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-84)\/28*-8*2. Let l = 248 - o. Is 50 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q + 36*q**2 - 9*q**2 - 5*q**2 - 12*q**2 - 8*q**2 - 3 + 2*q**3 + q**4 in the form o*q**3 + b*q**4 + v*q + a*q**2 + j and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**8\/168 + 22*b**7\/525 + 7*b**6\/75 + 4*b**5\/75 + 3*b**2\/2 - 7*b. Let m(w) be the first derivative of a(w). Factor m(c).\nAnswer: 2*c**2*(c + 2)**2*(5*c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**4\/4 + 19*j**3\/3 - 18*j**2 + 15*j - 40. Let q be n(16). Let r = q - 8. What are the prime factors of r?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 14*d - 12. Suppose 3*h - 9 = 33. Let n be g(h). Let s = n + 27. Calculate the remainder when s is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(15)\/sqrt(12) - (sqrt(360)\/sqrt(2))\/sqrt(4))*-3.\nAnswer: -9 + 15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495468432?\nAnswer: 2, 3, 457, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29*q**3 - 22838*q**2 - 4*q - 10374948 wrt q.\nAnswer: 87*q**2 - 45676*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tw when two letters picked without replacement from {w: 4, n: 2, t: 1, r: 2, o: 6}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 67*s**2 - 982*s - 368. Calculate q(45).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*w**5 + 2*w**3 + 244*w**2 + 148*w + 6 wrt w.\nAnswer: 100*w**3 + 12*w + 488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 + 189. Suppose 5*u = -2*c + t, -5*u + 5*c = -1 - 99. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 - 1. Let p(i) = 8*i - 96. Let a be p(14). Let r(b) = 5*b - 23*b + a*b. What is w(r(x))?\nAnswer: 12*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5500, 3, -5, 0 in increasing order.\nAnswer: -5500, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36160903195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*m + 1106 = 0, -7*o + 10*o + m = 662. Which is smaller: o or 1990\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**5\/25 + u**4\/20 - 2*u**3\/15 + 12. Solve w(y) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = l + 67 + 140, -5*a + 873 = -4*l. Let d = -210 - l. Solve -n + 17 = -3*c - d*n, -2*n = 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 491 and 0.041?\nAnswer: 20.131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -17 + -1)\/(-1) - 0. Suppose n*h + 4*h - 42 = 0. Solve 3 = -f - h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a - 3. Let j be t(-1). Let w be (-50416)\/56 - j\/7. What is the units digit of (w\/(-80))\/(2\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/10*(102\/(-36) - -2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40.1 - 8.7. Let m = 51.8 + w. Let g be ((-8)\/30)\/((-6)\/(-9)). Sort -1\/3, -4, m, g in decreasing order.\nAnswer: m, -1\/3, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1346376 + -5439359077\/4040. What is the common denominator of k and -39\/3232?\nAnswer: 16160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 5*l = 26, -3*t + 5*t - 12 = 2*l - 0*l - 10 + 18 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**4)**(-1\/34))**(-7))**(-24\/7) assuming u is positive.\nAnswer: u**(-48\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6950, 6949, 6954, 6971, 7006, 7065, 7154, 7279?\nAnswer: 7446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14226, 57717, 130214, 231717, 362226, 521741, 710262?\n\"Answer: 14503*h**2 - 18*h - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 2 + 10*t)*(-2*t**2 + 2*t**2 + 2*t**3) as v*t**3 + j*t + l*t**4 + w + n*t**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**2*k\/k**6)**(-47)\/(k**(2\/5)*k*(k**(-1\/3)\/k*k)\/k)**(16\/5) assuming k is positive.\nAnswer: k**(10559\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -15*((-296)\/(-666))\/(6\/27*-3)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90685 and 1065.\nAnswer: 19315905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1983 + 1979. Let r be (6 + -4)*(-4)\/(-192). What is the closest to 1 in -0.3, r, 1\/3, v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-7)\/((-210)\/78)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3478 (base 11) to base 16\nAnswer: -11d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -446ccd (base 16) in base 2?\nAnswer: -10001000110110011001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2303*n + 4047*n + 742950 for n.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 2271*r + 2268.\nAnswer: 3*(r + 1)*(r + 756)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -135, -1, -9, 5, 0 in descending order.\nAnswer: 5, 0, -1, -9, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/59568 and -41\/3.\nAnswer: 59568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - -22. Let z = -18 + c. Calculate the remainder when 30 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 1 = 4. Let n be c\/((2 + 0)\/4). Let z(t) be the third derivative of 5*t**4\/24 - t**3\/2 - 18*t**2. Give z(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(-15))\/(2\/96). Let m = 17 - i. Let d(z) = 4*z**2 + 2*z - 2. Let p be d(m). Solve 0 = -5*l + 4*l - 2*a + p, -5*a = -l - 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -39 + 15. Let r = -450 + 258. Calculate the smallest common multiple of l and 2\/(-5) - r\/30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -495*d + 497*d + 9 + 15304.\nAnswer: 2*d + 15313","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -11, -72, 5, -33, 4.\nAnswer: -72, -33, -11, -6, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 7*l - 8. Suppose -2*y = -0 + 12. Let d(m) = m + 6. Let u be d(y). Which is the smallest value? (a) 0.1 (b) u (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5388 (base 11) to base 16\nAnswer: 1bca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)*-1)\/sqrt(2) + 4 + (3 + sqrt(91)\/(sqrt(7) + sqrt(21)\/sqrt(3)))**2.\nAnswer: 2*sqrt(13) + 65\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 62 = 49. Let l be 1\/2*(-1 - -79). Calculate the highest common divisor of l and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/65682 and -61\/8544?\nAnswer: 1050912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -3*i**5\/10 - 4*i**2. Let g(m) = 2*m. Calculate q(g(z)).\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -17*k**2 - 3. Let r(j) = 25*j**2 + 4. Calculate 7*o(g) + 5*r(g).\nAnswer: 6*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxlvbbvbtsvvtvvvst. What is prob of picking 1 l, 1 x, and 1 v?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2728, -5400, -8014, -10570?\n\"Answer: 29*y**2 - 2759*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 4*p - 20, -p - 2 = 2*s + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 313, 735, 1337, 2125?\nAnswer: 3105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m + 0*m - m + (-2 + 2 - 3)*(-2*m + 3*m - 3*m) + (-2 + 1 - 1)*(3 + 0 - 4)*(m + 0 + 0).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 6. Let k be 489\/15 - (-87)\/(-145). Solve -2*f - 4*b = -8, r*f + k - 8 = 2*b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167992821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**40)\/k*(k\/(k**21*k)*k*k)\/k*k**(-26)\/(k\/(k\/(k**(-45)*k))*k) assuming k is positive.\nAnswer: k**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001111 - 0?\nAnswer: -10001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (-3*2 - -1). Let n be 3\/l - (-42)\/4. Let h = n + -7. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*u - 4*s, 0 = 3*u + 6*s - s + 4. Suppose 929302 + 390698 = u*d. What is d rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -795 - 543 = -6*j. Suppose j = -29*n + 1586. Calculate the highest common factor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15304322 - 1050?\nAnswer: -15305412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 5*s - 41, -8 = 3*q + 4*s - 0. Solve 0 = y + q*d + 15, -4*y - 2*d + 30 = -4*d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.178 + -5.822. Suppose -5*i + 2*i = -3. Is s not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 12*b**2 + 194*b + 2309. Determine l(-12).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -36 times 60\nAnswer: -2160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 7:21 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97 + -97.7. Let t = 0.38 + u. Is t less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**4\/6 + l**3\/3 + 4*l**2\/3 = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) + 2 - sqrt(704))*3)**2 - sqrt(33)\/(sqrt(3) - (6*sqrt(12)\/sqrt(4) + sqrt(3))).\nAnswer: sqrt(11)\/6 + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-16)*-2*(-2)\/(-10)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 0, 4\/3, 1 in descending order.\nAnswer: 4\/3, 1, 0, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 77774*-5.2\nAnswer: -404424.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3002964 and 128010.\nAnswer: 255251940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 33, 2 in descending order.\nAnswer: 33, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1094387 or -1094384?\nAnswer: -1094384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44628 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 10:48 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 10:27 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2*y - y + 295, y - 5 = 0. What are the prime factors of (-3262)\/f + 2\/(-8)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -c + 13, -2*c + 0*c - 4 = 2*i. Suppose 3*w + 0 + c = 0, 6 = r - 2*w. Solve -2 = -2*t + 5*h - 2*h, -12 = r*t + 2*h for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.2 + 14. Let c = g - -0.2. Sort -1\/5, 2, c in decreasing order.\nAnswer: 2, c, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 147, 107, 67, 27, -13, -53?\n\"Answer: -40*u + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 44 (b) 47479 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*2*-6 - (0 + sqrt(27) + (0 + sqrt(675) - sqrt(27))))**2.\nAnswer: 75843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, v: 3, a: 3}. Give prob of sequence gaa.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, a: 2, w: 1}. What is prob of picking 2 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + r)*(0*r**2 + 2*r**3 + 0*r**2) + 0*r**4 + r**4 + 0*r**4 - 85*r**3 + 85*r**3 - 10*r**4 + 44*r**2 + 1 - 91*r**2 + 48*r**2 + 8*r**4.\nAnswer: r**4 + r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (70\/7 - 6). Solve 4*s + 0*s + 4*m + 16 = 0, 0 = -v*s + 5*m - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 + 2*k**3 - 2*k**3 + (-69 - 27 - 88)*(-1 - 49*k**2 + 49*k**2 - 4*k**4).\nAnswer: 737*k**4 + 184","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 13*y**2 - 21*y - 17. Let m(t) = t**2 - 8*t - 2. Let k be m(9). Let v be b(k). What is the greatest common factor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-18))\/(42\/54)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.9 + -1.87. Let n = z + 0.27. Sort -0.5, -2\/3, n in ascending order.\nAnswer: -2\/3, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 245 + -199. Calculate the remainder when 145 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a + 7*a = -50. Sort -8, a, -2 in decreasing order.\nAnswer: a, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25.963 - -0.037. Let b = -29 + i. Let f = -1 - 1\/2. Sort -4, b, f in descending order.\nAnswer: f, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17320?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 11:49 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 622.369438 - 619.14765087. Let r = g + -91.22179283. Let o = r - -88. Round o to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 1775 + 1745. Let v be 1*11\/(22\/f). What is the nearest to -2 in 2\/7, v, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9c9c3 (base 13) to base 15\nAnswer: -59713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**14\/a*a\/((a\/a**(-18))\/a*a*a))**(-2\/47) assuming a is positive.\nAnswer: a**(10\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-5) + (-42)\/30 + 1. Suppose p = 3*o - 7*o - 296. List the prime factors of o\/(-1) - (4 - 1).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -4*s**2 - 20200*s - 25502500 = 0.\nAnswer: -2525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 8614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14376 - 9755. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b**5\/5 - 4*b**4 - 22*b**3\/5 + 12*b**2\/5 = 0. Calculate b.\nAnswer: -1, 0, 3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31333 (base 4) to base 6.\nAnswer: 4051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -1341?\nAnswer: 6705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 5 - (-157)\/(-2)*-8*(-9)\/(-1116).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -30. Suppose z = 4*v - 8 - 51, k*v = 4*z + 28. Let u be (-18 + v)\/((-2)\/2). Solve u*o + 12 = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1917 and 107946.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - 3) + 0 + 2 + 0. Let h be (216\/(-5))\/(4\/x). Let i = 65 - h. Which is the second smallest value? (a) -1\/3 (b) -3 (c) i (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 522.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 4*i**3)*(-5 - 1 + 1)*(3 - 4 - 1) to d + h*i**2 + w*i + g*i**3 and give g.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*s = -2650, 2635 = 5*f - 29*s + 34*s. What is the highest common factor of f and 224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134369676871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2455712 and 75\/616?\nAnswer: 27012832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1021, 1833, 2657, 3499, 4365, 5261, 6193?\n\"Answer: v**3 + 805*v + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**6\/120 - z**5\/10 + 5*z**4\/24 + 7*z**3\/6 - 2*z**2. Suppose 4*y = 28 - 4. Is t(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2245 = -401*y + 1765 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 4:38 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018656 rounded to 4 decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22.08 + -0.08. Let y = f - 20.4. Are -1 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -481483391\/665 + 724035. Let v = -3\/95 - i. What is the third biggest value in -2\/9, 0.3, v?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1590 and -4?\nAnswer: -6360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -7*u**4\/12 - 7*u**3\/6 + 29*u**2\/2 + 78*u. Differentiate f(i) with respect to i.\nAnswer: -14*i - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 55923995 + -3?\nAnswer: 55923992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1135858*i**3*p**3 - i**3*p + 293*i**3 + 6*i**2*p - p**2 - 2 wrt p?\nAnswer: 6815148*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 4:39 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 119 - (-2 - -4 - 1). Let w be 2\/(-5) - i\/(-370). Let n = 745\/518 + w. Find the common denominator of n and 91\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10 (b) 2 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -533, -3\/4, -26, -5, -0.2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**5\/120 - n**4\/8 + n**3 - 22*n**2. Let p(a) be the first derivative of x(a). What is p(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -q + 102 - 75, -q = -4*b - 23 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + m**3 + 2*m**2 + 8*m**4 - 11*m**4 + 3*m - m + 5*m**4 to the form x*m + a*m**2 + c + z*m**3 + p*m**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-16))\/((-6)\/(-204)))\/(-54*(-245)\/(-52920))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 1251*z. Let t(c) = -2*c**2. What is m(t(v))?\nAnswer: -2502*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + (-4)\/(-10))\/(60\/450). Put k, -2, 1, -28 in increasing order.\nAnswer: -28, -2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22, -1, 0.2, 7.8495?\nAnswer: 7.8495","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, l: 6}. Give prob of sequence lrr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/7)\/(-4 - (-60)\/14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25782, -103227, -232332, -413097, -645522?\n\"Answer: -25830*z**2 + 45*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 27 = q, -41*q = 3*f - 39*q - 14 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -200*h**3 + 20 + 198*h**3 + 6*h**2 + 6 + 72*h + 38 = 0.\nAnswer: -4, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58)\/(-87))\/(6\/(-63)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (4 + -4)) + -18 + 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnxsb. What is prob of picking 1 b and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 29903 (b) 5.4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + (-2148)\/(-15))\/(3\/(-15)). Let j = d - -723. Let x = -3.9 + -0.1. Which is the third smallest value? (a) -0.2 (b) j (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d - 1. Let p(z) be the third derivative of -6*z + 1\/2*z**3 + 1\/30*z**5 + 0 + 1\/120*z**6 - 7\/24*z**4 - 11*z**2. Determine -p(g) - 3*q(g).\nAnswer: -g**3 - 2*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 20 = 0, 3*q = -5*x - 6358 + 16407. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 271656 - 53315. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -105 + 103 + t - 3*t - 5*t. Let i(s) = -22*s - 6. Suppose -2*m + 19 + 13 = 0. What is m*a(v) - 5*i(v)?\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**3 + 19*d**2 - 5*d + 5. Let w(m) = m**3 - 20*m**2 + 4*m - 4. Calculate -3*w(n) - 2*x(n).\nAnswer: n**3 + 22*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4596, -453, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/23 + -32\/161. Let s be 31 + -7 + -14 + 64\/(-6). What is the nearest to s in -5, y, -1\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/(-20)*(-10)\/(-4). Suppose -s*f + 7 = -8. What is the first derivative of 3 - b**4 - 6*b**3 + 6*b**3 + f wrt b?\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 5 + 9. Suppose -3*s + 5*s + u = 0. Sort s, 0, -7 in increasing order.\nAnswer: -7, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 85. Let l = 50.0155 - z. Round l to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.14 + 18.14. Let t = d + -19. Which is the nearest to t? (a) 0.4 (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -5, 3, -1 in decreasing order.\nAnswer: 3, -1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1601247*x**3 + 862216*x?\nAnswer: 9607482*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 11*r = -7*r - 20, -2*w - 2 = -5*r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-29)\/j)**(-10\/9)*j*((j\/(j*j*j\/((j\/(j*j**(3\/5)*j))\/j)))\/j)\/j*j*j*j\/(j\/((j\/(j*j**(23\/5)\/j)*j)\/j)*j) assuming j is positive.\nAnswer: j**(377\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1175\/470)\/((-5)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**5\/10 + 5*n**4\/12 - 5*n**3\/6 - 7*n**2\/2 - 37*n. Let p(z) = -2*z**3 + 5*z**2 - 4*z - 6. Give -7*p(y) + 6*q(y).\nAnswer: 2*y**3 - 5*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -29.5. Let i(r) = 19*r + 15. Let y(h) = -h - 2. Let f(q) = -i(q) + 2*y(q). Let p be f(-1). Which is the smallest value? (a) x (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1616813 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(17) - sqrt(68)\/sqrt(4)))*-3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21 + 906481680.\nAnswer: 906481659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -179282 smaller than -179127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*b**3\/9 - 1322*b**2\/9 + 1136*b\/9 + 152\/9 = 0 for b.\nAnswer: -2\/17, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -715*o + 716*o = 2*y + 1, y - 3*o - 17 = 0. Let i = -0.3 + -0.2. Do i and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 3*y**2 + 3*y + 1. Let z be q(-3). Let i(n) = 12*n - 11*n - 47 - 12*n. What is the units digit of i(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132652 and 132652?\nAnswer: 132652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2233*h**2 + 8931*h - 10. Give a(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**4\/3 - 2*d**3\/3 - 20*d**2\/3 - 16*d\/3 = 0.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -2241323?\nAnswer: -2241332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12\/19, -0.7, 0.2?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - 143*o**3 - o**2 + 2*o**2.\nAnswer: -143*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/7 - 468728*l\/7 - 16876800\/7.\nAnswer: 2*(l - 234400)*(l + 36)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 756156 by 3.\nAnswer: 252052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1909\/4 - -478. Suppose -3*z + 4*y = 0, z + y = -z. Which is bigger: n or z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/4)\/(4\/(-371648)). Suppose 0 = -5*u - 3*u + w. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*d + 5*d - 198, 0 = -j - 2*d + 45. Let v = j + -14. Suppose -5*p = -c - v, -c - 1 = -4. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416540627?\nAnswer: 416540627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/(-45) - 7) + 5.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2362 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) 5 (c) -2\/7 (d) -1\/8 (e) 0.9 (f) 15\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 7 = 3*h + 8, -4*f - 2*h + 10 = 0. Let m be ((-33)\/(-9) - f)\/((-1)\/(-3)). Solve 2*k + 8 = m*c, 0 = -c + 3*k + k + 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/7))**(-1\/49)*((h\/((h\/(h**(18\/5)*h))\/h))\/h)\/(h*h**(-2\/41)))**(-7) assuming h is positive.\nAnswer: h**(-255539\/10045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32 or 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -112 by 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.227 - 0.027. Let q = 0.6 - k. Let b = q + 4. What is the nearest to -1 in 0.3, b, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 164 = 3*g + g, 0 = -4*v + 5*g + 209. Suppose -4*s = -4*k - 288, v + 26 = s - 4*k. Is s a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*v**2 - 142*v**2 + 417*v**2 - 136*v**2 + 19.\nAnswer: v**2 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-35)\/i)\/i)\/(i\/(i**(2\/19)*i))*(i\/((i*i*i*i**(-3\/2)*i)\/i))**(-49))**1 assuming i is positive.\nAnswer: i**(-471\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.6? (a) 0.3 (b) -0.373 (c) 3 (d) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 4*t**2 + 2*t + 2. Let k be n(2). Let x be (14\/(-4))\/((-1)\/k). Let f(i) = i**2 + 6. Is f(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u - 9. Let m be x(3). Solve 3 = 3*s + w, -5*w + 21 = -3*s + m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 261*r + 16903. Let o be g(-142). Put o, -3, 1, -4, -2 in increasing order.\nAnswer: -4, -3, -2, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 10*u - 64 - 32 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000386 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/49*(-13647 - -2) + 2\/(-7) a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -54580 (b) 0.1 (c) -0.49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*i*m**2*r + 2*i*m**2 + 18*i*m*r - 4*i*m + 20*i + 309272*m**2*r - m**2 - 951*m*r wrt m.\nAnswer: -14*i*r + 4*i + 618544*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f. Let a(h) = -7*h**2 - 4*h + 4. Let z(g) = 21*g**2 + 11*g - 11. Let u(m) = 11*a(m) + 4*z(m). What is n(u(b))?\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6*g**2. Let l(o) = -8*o. Calculate k(l(n)).\nAnswer: 384*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 112783276 a multiple of 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-72)\/81*4\/(-16). What is the fourth biggest value in 2, w, 0.3, 0.018?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7511953 to the nearest integer?\nAnswer: 2741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gi when two letters picked without replacement from gxbkbgxgxbkkxixx?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-12 - -15)) + 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 22*c**3 + 94*c - 82. Let f(x) = 16*x**3 + 63*x - 55. Let k(m) = -10*f(m) + 7*r(m). Find the first derivative of k(l) wrt l.\nAnswer: -18*l**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + (1 - 1) + -2. Suppose -m**2 + m - o + m + 2 = 0. What is m?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 555 - 47. Let q = t + 5. Let l = -512.99681 + q. Round l to 4 dps.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 5*r - 80. What is the remainder when 321 is divided by r?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, n: 2, l: 3, t: 3}. Give prob of picking 1 l and 2 t.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188249.\nAnswer: 188249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 53341046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 4*i**2 + 6*i + 7. Let v be s(-2). Suppose -4*m + 3*u + 17 = 0, 0*u = -5*m + v*u + 22. Sort m, 3, -1 in descending order.\nAnswer: m, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -311, -302, -281, -242, -179, -86, 43?\n\"Answer: g**3 + 2*g - 314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2360*c**2 - 8425*c - 125. Let y(j) = 295*j**2 + 1053*j + 15. Let n(m) = 3*u(m) + 25*y(m). What is the second derivative of n(d) wrt d?\nAnswer: 590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*p - 3 = -1, 12 = 3*p. Let y = i - 8. Suppose 3*g - y*g + 33 = 0. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 1\/7 + 11325\/105. What is the highest common factor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1029*l**2. Let s(r) = 37*r**2. What is f(s(u))?\nAnswer: 1408701*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - -30 - 69 - -25.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4001635, 4001651, 4001693, 4001773, 4001903, 4002095?\n\"Answer: 2*x**3 + x**2 - x + 4001633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 - ((13 - 2) + -74 + 82)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r + 7. Let d = -26 + 28. Let f be s(d). Let j be (67\/f + -1)*(3 + 0). Calculate the highest common divisor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -7*r**6\/12 + r**5\/60 + r**4\/12 + r**3\/6 - 15*r**2. What are the prime factors of u(-1)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587596715?\nAnswer: 5, 117519343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 40d81 + -5?\nAnswer: 40d7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 276\/378 + 16\/(-36). What is the third biggest value in -4, i, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 5, 0.15, -7819.9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 13 + 37 = 0. Is 49 a factor of (0 + s)\/((-587)\/(-196) - 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 8:55 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -37281 = -410085\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/(o\/(o**(2\/7)*o*o))*o))**(-22)*o*(o\/o**6)\/o*o**(-1\/4)*o**(-3)*o*o**1*(o\/(o*o*o**(2\/3)))\/((o\/(o**(4\/3)\/o))\/o) assuming o is positive.\nAnswer: o**(5435\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408 - 4335*l + 408.\nAnswer: -4335*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2352 + 23469\/10. Let x = 1225399\/4 + -308144. Let v = x - -1776. What is the common denominator of v and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 30541.4495 and 0.00853?\nAnswer: 30541.44097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00038242668 rounded to five dps?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(6\/167))\/((-8)\/(-112)). Suppose i = 5*c + 179. What is the highest common factor of 18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*(((1 + (2 + sqrt(448) - sqrt(448)))*-4)**2 - ((sqrt(448) + -4*-2*sqrt(448) - sqrt(448))*3)**2) + 3.\nAnswer: 773718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*n - 9*n = 17*n - 22396943. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 745 - 551. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2281 + -3211. What are the prime factors of q\/45*6\/(-4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 147409.6?\nAnswer: -44222.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 28. Suppose g*b - 5 = -17. Let t(r) = -r**3 - 7*r**2 - 7*r - 4. What are the prime factors of t(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-2))\/((-2)\/12). Let k be (-38)\/l - (-4)\/(-6). Suppose 5*y - 3 - k = 0. Solve 5*q + 2*p - 14 = 0, 2*q - 13 = -3*p - y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -1\/3, 6\/17, -2\/19, -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1054913, -1054816, -1054653, -1054424?\nAnswer: -1054129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.027 - -0.427. Let s be 2\/8 - (-9)\/(-12). Let d = 36.9 - 37. Which is the third biggest value? (a) d (b) j (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115.1898 - 115. Round n to 3 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - q**2 + 2*q + 5. Give t(3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -231 greater than -232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**4\/12 - 3*l**3\/2 - 3*l**2 + l. Let f be h(-7). Solve 3*p - 4*q = 7*p - f, 3*q = 2*p + 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**4\/12 + v**3\/3 - 17*v**2. Let a be 6 - (9 - (-60)\/(-12)). Calculate q(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 2100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2457 (base 15) in base 8?\nAnswer: 17064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 - 7.6. Let o = x + 5.9. Let k = -0.07 - 2.93. What is the closest to o in -0.5, k, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*s**4 + 76285*s**3 - 20*s**2 + 130*s + 259.\nAnswer: 672*s + 457710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2158989938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 455*(-32)\/24*12\/40. Let t = w - -182. Solve 8*v + 0*v - 32 = t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14267629 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000354015 to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bcxsccmsbchhmh. What is prob of sequence bbc?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 11:35 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 316*h - 1568. Determine n(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 1. Let t(f) = -22*f - 265. Let r be t(-12). Suppose 7*k = 5*k + 10. Let n be 1\/(k\/(-25)*1). Let u(v) = -3*v**2 + 5*v + 5. Give n*y(i) + r*u(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91 - 91.006527. What is t rounded to 4 dps?\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317946.\nAnswer: 2, 3, 19, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**5\/20 + 11*w**4\/24 + 2*w**2. Let j be (0 - (9 - 9)) + 3. Is 5 a factor of v(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -49e582 - 4?\nAnswer: -49e586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -30 - 6. Let a be ((-25)\/(-15))\/((-10)\/f). Suppose -6*w + 37 = -2*w + 5*s, 3*w + a*s - 19 = 0. Calculate the smallest common multiple of w and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k**2 - 16*k**2 - 827 + 7*k**2 + 3*k + 799 + 5*k**2 to the form y*k**2 + w*k + s and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -72*l. Let d(p) = 2*p**2 - 1377*p - 12. Give f(d(j)).\nAnswer: -144*j**2 + 99144*j + 864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2 + 3*x**2 - x**2 - 4 + 2*x - x**2. Let b be g(-3). Solve -p - b = 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**3 - 8*o**2 - 14*o + 152. Determine n(8).\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sal when three letters picked without replacement from aslsllsla.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*h - 62 + 6, -n - 36 = -5*h. Let x = 406 + -400. Suppose 0 = x*g - 4*g. Solve h = 4*y - g*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 + 4 = 7*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3078966 and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -4 - (19 - (-1 + 23))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -9. Let o(a) = -a**3 - 2*a**2 + 3. Let y be o(q). Find the first derivative of -13 - 11*j**3 + 4*j**3 - y*j**3 wrt j.\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.22 - 4.49. Let k = 5.53 - z. Let f = 1 - -2. What is the nearest to 1 in f, 4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d + 1. Let p(b) = -3. Let q(c) = -5. Let n(s) = -7*p(s) + 4*q(s). Let g(u) = -f(u) + 3*n(u). Differentiate g(t) with respect to t.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (-3)\/((-9)\/24). Suppose -224 = -q - 2*q - i*c, -136 = -2*q + 4*c. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16, -92, -214, -376, -572, -796, -1042?\n\"Answer: z**3 - 29*z**2 + 4*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8602999\/737 - -11673. Is u less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*l**2 - 33*l + 25*l**3 - 49*l**3 - l**2 - 1 + 23*l**3 - 1 to the form p*l**3 + a*l**2 + m*l + f and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31968.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**3 - d - 2. Give x(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**4*f))\/f)\/(f*f**(-6)*f*f)*f\/(f\/f**0)*f**0)\/((f**(-1\/5)*f*f**5)\/(f**(-4\/9)\/f**(6\/5))) assuming f is positive.\nAnswer: f**(-85\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*s, -23 = 4*u - 472*s + 481*s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -9, -1, 4 in increasing order.\nAnswer: -9, -1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 696875 and 1393750?\nAnswer: 1393750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3e98 + 4?\nAnswer: -3e94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 14*i**2 + 3*i - 41. Let z(l) = -24*l**2. Give y(z(m)).\nAnswer: 8064*m**4 - 72*m**2 - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of d - 4 + 1\/2*d**2. Let a be (-30)\/(-25)*(-20)\/(-6). Determine c(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -484 + 484 - 3*z. Let c(i) be the second derivative of i**3\/6 + 2*i. What is c(l(o))?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 + 36. Let i(g) = 6*g**2 + 3*g + 4. Let j be i(f). Suppose 6*v = j + 68. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*t**2 + 440*t**2 + 511*t**2 - 245*t**2.\nAnswer: 761*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-1)\/(-30)*(-45)\/(1305\/928)?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 408420 and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/20 - (-1123)\/4. Let a = n - 139. Suppose 76 = 4*f + 2*g, -5*f = g - a + 46. What are the prime factors of f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59712 times 976?\nAnswer: -58278912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63012265 and 14120.\nAnswer: 1765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-6)*-2*-1. Let o(a) = 3*a**3 + 2*a**2 + a - 2. Let n be o(1). Suppose -3*i - d - 1 = 0, d + 15 = n*d. Sort i, r, 5.\nAnswer: i, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnj when three letters picked without replacement from jjjnffjanjjjj.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -18.1 > -177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 divided by 39414?\nAnswer: 331\/19707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**2 + 2*g - 5. Let y be d(-3). Solve 22 = s - 4*x + y, 5*s - 9 = -2*x for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61950.99 litres to millilitres.\nAnswer: 61950990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -1 + (18 - 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 498 and 871644.\nAnswer: 72346452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 11:33 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/19)\/(w*w**(2\/21)\/w*w) assuming w is positive.\nAnswer: w**(-416\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18842210.\nAnswer: 2, 5, 1884221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 36\/135*-21 - 2\/5. Let j(z) be the first derivative of z**3\/3 + z**2\/2 + 6*z - 1. Is 9 a factor of j(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -7. Let u = -0.06 + -0.24. Let x = 0.03 - -0.97. Which is the nearest to 1? (a) d (b) u (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o + 40. Let w(g) = 1893*g. Determine i(w(l)).\nAnswer: 3786*l + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*t = 12, -4 = -2*z + 5*t + 2. Let o = z - -13. What is the third derivative of 3*i**2 - 2*i**6 - i**2 + 8*i**o wrt i?\nAnswer: 720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(6561\/(-72))*(-6)\/(-8)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 64701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2 + 16*h + 11. Let n be g(8). What is the highest common factor of n and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 676 + -672. Let q(v) = -v**2 + 5*v + 2. Calculate q(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3130 - -3108.04. What is n rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 0.1, -1\/4, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*s + 64*s + 285. What is the smallest common multiple of 3 and s?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/3)*w)**(5\/4)\/(w**(-2\/3))**(-4\/15) assuming w is positive.\nAnswer: w**(493\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 + -13 - 2) + -14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14 - 18) + (-1 - -1). Let z(c) = 8*c**2 - 4. Let s(l) = 9*l**2 - 5. Calculate x*s(o) + 5*z(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 4*g + 8. Suppose q + 4*q + 2*z = 76, -z = g. Let v = q + -9. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3500) + -2*sqrt(3500))\/(-1*sqrt(320)).\nAnswer: 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.050257 + 0.159828?\nAnswer: 0.109571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 149335798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/17? (a) -2 (b) -45 (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 100725249?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 114000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67265*u + 4*s - 76 = 67269*u, 0 = 5*u - 3*s + 91 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20266*0.3.\nAnswer: -6079.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -12\/7*y - 1\/7*y**2 + 2\/21*y**3 + 45. Find v, given that l(v) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -16, -0.2, 5, 0.2, -147, -11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/114924 and 53\/9696?\nAnswer: 92858592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*h - 3*h. Let v(o) = -2*o - o + 0*o + h*o. Let m(x) = 2*x**2. Calculate m(v(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**3\/3 + 3*t**2 + 8*t - 6. Give q(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-2)*((-27)\/(-42))\/(-9).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1963*a + 995*a + 984*a + 96 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.2 less than -8466?\nAnswer: -8487.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1846 take away -0.030221?\nAnswer: -1845.969779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 - 2*f + 12*f**3 - 7*f**3 + 0*f**3 to the form p*f + z + i*f**2 + n*f**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (6*-2*(sqrt(1584) + -2)*-2*-6)**2.\nAnswer: -995328*sqrt(11) + 32928771","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1807.748 + 1812. Let o = h - 0.052. Let c = -1.1 - o. Round c to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1459.3761ns to hours.\nAnswer: 0.00000000040538225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -250\/7. What is the second smallest value in 3\/5, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3571*h**3 - 1198.\nAnswer: 10713*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2315.2654 to one dp.\nAnswer: -2315.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 3, -2, 196429 in increasing order.\nAnswer: -10, -2, 3, 196429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.9 + 8. Which is the nearest to 0.1? (a) -0.05 (b) f (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-92)\/(-18)*(-72693)\/8077.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/83, 2, -14 in increasing order.\nAnswer: -14, -1\/83, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 7:15 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7*i**2 - 8*i + 1. Let t(u) = 6*u**2 - 8*u + 2. Let h(y) = -3*t(y) + 2*z(y). Solve h(v) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 15 = 0, -v - 4*c = -0*v - 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, f: 1, s: 1, t: 4}. What is prob of sequence vtfv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2)*-2*-3. Let z(d) = -d**2 - 7*d**2 - 4*d + d**k - 10 + 2. Calculate the remainder when z(9) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 9*x**2\/4 - 993*x\/2 - 663\/4 = 0.\nAnswer: -1\/3, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**2 + 11*p**5 - 3*p**2 + (205 - 47*p**5 - 205)*(-5 + 18 + 3).\nAnswer: -741*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**0*l)\/l)**(2\/29)*l**2*l*l**(-1))\/((l**(-2))**43)**48 assuming l is positive.\nAnswer: l**4130","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**3 + k**2 - k. Let g = -8 + 10. What is the remainder when x(g) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 925993 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 116141?\nAnswer: 116142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from yyyxxayyayxxyyxyaayx?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/9 - 64312\/(-72). Let w = 542 - q. What is the tens digit of ((-5)\/(-15))\/((-3)\/w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(153) - (sqrt(153) + sqrt(153) + sqrt(153)*-3))*-6*6)\/(sqrt(90)\/sqrt(490)*1*-5).\nAnswer: 1008*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11133 = -x + 11139 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-42)\/(-9) + (-1404)\/(-1296) + (-6)\/8. Let j(t) = -4*t - 2. Let c(g) = -5*g - 2. Calculate h*c(a) - 6*j(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1607*x**4 + 881*x**2 - 5*x + 18. Let n(f) = 2*f**4 - f**2 - 2*f + 6. Let z(r) = -6*n(r) + 2*y(r). Find the third derivative of z(h) wrt h.\nAnswer: 76848*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16805?\nAnswer: 5, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 4*j + 54 = 0. Let q be (-1)\/2 + 33\/6. Suppose -q*c + 4 + j = 0. Put -4, 1, c in descending order.\nAnswer: c, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 2. Let l be d(-2). Let p be ((-24)\/9)\/((48\/18)\/(-4)). Suppose 4 = -p*w - m, -5*m + 20 = -3*w - 10*m. Sort w, -1, l, -2 in descending order.\nAnswer: l, w, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 22*x**2 + 47*x + 27. Let c be (((-192)\/(-10))\/2)\/((-204)\/(-510)). Let s be h(c). Solve 3*z = -s*w - 0*w + 21, -5*w = -4*z - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = -b - m, 4*b + m - 391 = 2*m. Let z(f) = f**2 + f + 11. Calculate the remainder when b is divided by z(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 1. Let k(z) = 2*z**3 + 25*z**2 + 4. Determine -4*i(t) - k(t).\nAnswer: 2*t**3 - 25*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35017 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 5)*(-4 + 6 - 4)*(-65 + 3*w**2 + 65) to y + a*w + x*w**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12209\/12 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 8 = 4*u, -4*a = -5*u - 2*a - 2. Suppose -f - 5*i = 33, -f + 2*i = 2*f + 14. Put 2, f, u in descending order.\nAnswer: 2, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**3 - 322654 - 9*x**2 + 2*x + 26*x**2 + 322655 as k + j*x**2 + c*x + w*x**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 2*s - 4*s + 7, 4*a - 4 = 4*s. Factor 4 - s*i**3 + i**2 - 8*i + 0*i**3 + i**3 + 4*i**2.\nAnswer: -(i - 2)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -0.5 (c) -8\/9 (d) -2\/5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 3)*(2*s - 2*s + 2*s) - 2 - s + 2 + 11 - 11 - 30*s - 2 + 0*s + 4*s + 2*s as h*s + k and give h.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 21*j = -44, -1533*k - 5 + 2 = -1536*k - 3*j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406063?\nAnswer: 7, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129057 divided by 143.\nAnswer: -129057\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - 0*(-3)\/(-9). Suppose u = c*u. What is the nearest to -2 in -3, u, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (21 + -23)\/(1\/(-2)). Solve 2*m = -m + c*v - 6, -3*m - 2*v + 12 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2106149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1001100?\nAnswer: 1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18777)\/(-2845)*20\/(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23857228 and 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -7*m**4\/24 + 4*m**2. Let o = -7 - -8. Let u(w) = o - 5 + 4 + 2*w. Give u(l(p)).\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 11*a - 11. Let g(z) = -z**3 + 2*z**2 - 2. Let f be g(3). Is 11 a factor of k(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3306 at least as big as 89275\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 7*a**2 + 5*a + 9. Let b(u) = -u**3 - 10*u**2 - 7*u - 13. Suppose 0 = -3*v + 15. Calculate v*b(t) + 7*h(t).\nAnswer: 2*t**3 - t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.022\nAnswer: 0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + sqrt(17))**2*-1.\nAnswer: -21 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9101451054751\/2654888869416 + -21\/146492792. Let c = f + 1\/2589. Find p such that -c*p**2 + 20\/7*p - 6\/7 + 12\/7*p**3 - 2\/7*p**4 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 16*w - 7159. Calculate j(-93).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 11*i**2 - 3*i - 1. What is u(-11)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/6 - (-20)\/6. Let r(n) = -3*n - n**2 + n**2 - 5 + 0*n**2 + n**2. What is r(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 365\/(-1095000)*-500 + 8642\/(-84) + (-6)\/21.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*m + 28 = 0, 0 = -5*k - 4*m + 2 - 28. Let v be 52\/928 - (-2 - k). Let n = v - -4891\/696. What is the common denominator of 47\/18 and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1191578 less than 1644.9?\nAnswer: 1193222.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 + 1955 - 57*s**3 + 2*s**3 + 9*s**2 + 0*s**2.\nAnswer: -55*s**3 + 9*s**2 + 1955","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66.720012124 - -66.72. What is r rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((0 + -1 + sqrt(272) + sqrt(272) - sqrt(272))**2 + -1*sqrt(2057)*-1).\nAnswer: -819 - 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 1545*v + 65. Is n(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-4)*(l\/((l*l\/l**(-1\/8))\/l))\/l*l**(-33)*(l**(-20\/9))**38 assuming l is positive.\nAnswer: l**(-8825\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.14079 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/253 and 79\/138.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48312 by -6.\nAnswer: -8052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 6 + 3395*p + 9 - 3341*p + 2*p**2 to the form g*p + k + u*p**2 and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**3\/2 - 3*q**2 + 36*q. Let z be m(-2). Solve 5*t + 0 + 10 = z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18340.4387 rounded to the nearest 100?\nAnswer: -18300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08021 times -6423?\nAnswer: 515.18883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(12))**2 + (sqrt(3) - sqrt(3)*-2*4).\nAnswer: 9*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**2 + 7. Suppose 4*u + 6 = -26. Let z = 13 + u. Let o(b) = 2*b**2 + 5. Calculate z*j(a) - 7*o(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/3 (b) 2\/7 (c) -1.37 (d) -100 (e) -4 (f) -0.3 (g) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.21239 - 0.212375652. Round v to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1366319616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-1)\/((-11)\/(-77))). Let a be ((-1)\/6)\/((-2)\/8). Let i = -5\/6 + a. What is the second smallest value in v, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(243) + 2 + (sqrt(243) - (sqrt(243)*-2 + sqrt(243))) + sqrt(243)))**2 + (sqrt(576)*-2)\/(sqrt(48)*-6).\nAnswer: 10802*sqrt(3)\/3 + 97300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 0)*(-9*z - 22*z + 0*z).\nAnswer: -93*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 63, -64, -247?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.8 and -0.026.\nAnswer: 0.1248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 1:32 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.5, -0.8, -2, -4\/3 in descending order.\nAnswer: 0.5, -0.8, -4\/3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 3*f + 6. Let j be z(-4). Suppose -3*w - j*w = -70. Calculate the remainder when 38 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/75, 2\/19, 0.3, -1, 7\/13?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*h**2 + 3*h**2 - 4*h**2)*(0*h**2 - 3 - 2*h**2 - 1) to the form c*h**2 + l + y*h + k*h**4 + j*h**3 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 89432 divided by -4?\nAnswer: -22358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -0.3, 4, -2 in descending order.\nAnswer: 4, -0.04, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1463 - 205 + 4826 + 138*v**2 + 691*v**2 wrt v.\nAnswer: 1658*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0.2 (c) 172 (d) 133 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmnnnnnnmnnnnnmmnnnn. What is prob of picking 2 m and 2 n?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 a, and 1 d when three letters picked without replacement from {x: 3, k: 3, d: 1, c: 1, q: 1, a: 9}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 80335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8204817 is divided by 586055.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 12*s**3 - 107*s - 110. What is p(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.6 + 4. Let f = -16 - -15. Let l = 1.5 + f. What is the closest to 1\/5 in l, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 15 - 17 = 0. Suppose 0 = 5*s + 3*m + 945, -g*m = -0*m + 20. What is the tens digit of ((-4)\/((-32)\/s))\/(2\/(-8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 380 - 377. Suppose x*g = 15, g + 4*g = 3*b - 2048. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 4 - (-121)\/1. Let g = -1097\/9 + w. Which is the nearest to g? (a) 1\/6 (b) 2\/5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n**3\/5 - 127416*n**2 + 8283054*n\/5 - 26921024\/5 = 0 for n.\nAnswer: -79648, 13\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*s + 309 - 687 + 3*s - 782.\nAnswer: -21*s - 1160","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 h when two letters picked without replacement from {n: 1, h: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -26. What is the biggest value in 1\/2, g, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(2\/49)))\/(i**37\/i))\/((i*(i\/((i\/(i**(-4\/11)\/i*i))\/i))\/i)\/i)**8 assuming i is positive.\nAnswer: i**(-17858\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.9038 plus 3.512716?\nAnswer: -4.391084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/172 and 9\/4?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3\/7 + 8654*v**2\/7 + 223814*v - 225050 = 0. Calculate v.\nAnswer: -175, 1, 4501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + t + s + 31, 0 = -5*s - 5. Let g = t - -4. What is the units digit of (-52)\/(-44) + g\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1834 = -1377*x - 70694 - 10092 for x.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - b. Let i be h(2). Let z(f) = -f**3 - 6*f**2 - 6*f + 6. Let r be z(-5). Let s = r - 9. Solve -5 = 2*a + u, 2*a = a - s*u + i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 132921725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 2*y**6\/9 + y**5 - 4*y**4\/3 - 23*y**3\/3 + 3*y**2 - 27. Suppose i(n) = 0. Calculate n.\nAnswer: -3, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 15*b + 8070. Let f = b - -584. Calculate the highest common divisor of 828 and f.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -11000101110?\nAnswer: -11000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 42610 = -38735. Let p be (8 - 9871218\/7)\/(-52). Let t = r + p. What is the common denominator of -99\/10 and t?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 = 3*q. Let m be (-3)\/(-3)*4 + q. Suppose x + 10 = -m*o + 6*x, o + 3*x = 10. Solve -2 = y + o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(((-27)\/15)\/(48\/60)))\/10?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 16*s**2 - 5. Let w be q(-16). Sort 0, 21, w in descending order.\nAnswer: 21, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**7\/2 - 23*q**4\/4 + 35*q - 1. What is the third derivative of d(l) wrt l?\nAnswer: 1260*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/14)\/((-110)\/77).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = 20*w - 110 - 241. Solve -6 = -q - 3*m, -16*q + 6 = -w*q - 3*m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -93 and -50293.305.\nAnswer: -50386.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cj when two letters picked without replacement from mcpljjo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1378 and 936.\nAnswer: 49608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 - -194. Let a be -4 - (3 - 4) - h. Let s = a - -202. Is s a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 192.46 - 0.\nAnswer: 192.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 609527027 to the nearest integer?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 56164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1937, -2, 58.\nAnswer: -1937, -3, -2, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1647794 is divided by 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57025476?\nAnswer: 2, 3, 47, 33703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -11*c - 2. What is n(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2*r + 2*m = -10, 8*r + 2*m + 344 = 388 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2912 + 2922. What is the biggest value in s, -1, -1\/2, 2\/7, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*o = -2*o, 2*o + 32 = 5*n. Calculate the remainder when n is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*f - 1. Let x(v) = -64*v + 318. Let r be x(9). Is 13 a factor of (1 - f)\/(-3 - r\/84)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -2. Let x = 0.799 - 1.099. Which is the closest to -2? (a) t (b) x (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 336.8, -3, 3\/109?\nAnswer: 3\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2829295.6 - 263369001.6. Let h = -260539535.0000107 - j. Let d = h + -171. Round d to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-19)\/(133\/(-1190)) + -4. Suppose 134 = 12*d - y. Solve c = d - 29 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4*m - 1 = -7, 3*j - 17 = -2*m. Find i, given that -2 + j*i**5 - 16*i**4 + 2 + 21*i**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1029 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46888574*g**3 - 102022634?\nAnswer: -140665722*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 33 = -4*v, -2*p = 3*v + v - 2. Let x be p\/7 - 2\/(-2). Let w(o) = 16*o**x - 1 + 1 - 14*o**2. Let r(m) = -2*m**2. Calculate r(w(k)).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.77 + -3.66. Let h = f + -0.53. Which is the second smallest value? (a) 0.2 (b) h (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y**3 - y - 1. Let u = -5 + 4. Let f be i(u). Let w(x) = x**2 + 5*x + 3. Is w(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -2*q - 2, -826*j = 4*q - 828*j + 16 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 - 62. Suppose 0 = 3*f + b. Let w(g) = 3*g. Let t be w(f). Let p(x) = x**2 + 10*x + 8. Determine p(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-8)*(-8)\/140)\/((-112)\/19600)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26910\/(-1794)*(22\/(-12))\/((-9)\/36).\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.374 + 0.074. Let v = 1 - 14. Let n = 1.22 + -1.12. What is the smallest value in y, v, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1, 5, -0.4, -4, -0.1, 0.3, -851\/7?\nAnswer: -851\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, l: 1, f: 4, i: 1}. What is prob of picking 1 i, 2 f, and 1 x?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1075 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**4 - 627*i**2*u + 3*i*u + 3*i + 6*u wrt i?\nAnswer: 12*i**2 - 1254*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z**3 + 26*z**2 + 16*z + 16. Let o(g) = -g**3 - 5*g**2 - 3*g - 3. Let x be ((-6)\/8)\/((-36)\/192) - 7. Determine x*t(b) - 16*o(b).\nAnswer: -2*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0939? (a) -23.1 (b) 31 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2152 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -321, -630, -1157, -1974?\nAnswer: -3153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*m + 155*m = -706. Let r = m + 356. Solve 0 - 6\/5*g**2 + 6\/5*g**4 - 4\/5*g**r + 4\/5*g = 0 for g.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/234 and -83\/2.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 24.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2. Let x be 2\/10*(4 - 7). Let t = -6 - -5. Which is the nearest to t? (a) x (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, t: 8}. What is prob of sequence hth?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 1. Let b(l) = 3*l - 1. Let w be b(-2). Is (j - w)\/(6\/16) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from nynnnnnhnnnnnhwhnwn.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v - 77 + 6*v - 87 + 12 + v to the form f + m*v and give f.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -1) + 3 + -3. Suppose -t = h*j - 8, 4*j - 5*t - 22 = -6. What are the prime factors of 52\/14 - j\/(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 281, 436, -259, -2530, -7103?\nAnswer: -14704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, -6, 4\/5, -3, -0.221136 in descending order.\nAnswer: 5, 4\/5, -0.221136, -3, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -18.8. Which is the third biggest value? (a) n (b) -5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -252047 + 252110. Suppose 4*q - 4*o - 192 = 136, -q + 4*o = -97. What is the smallest common multiple of x and q?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -9*((0 - -2)*5)\/(-2). What is the greatest common divisor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {p: 1, a: 2, w: 1, n: 1, m: 1, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q + 16*q - v + 406 = 0, -4*v - 568 = -4*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - ((-1)\/(-2))\/((-126)\/3192)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o + 174. Let t(l) = -15*l. Give t(g(f)).\nAnswer: -75*f - 2610","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -11. Let i = 710.8 + -711. Sort 5, i, m in decreasing order.\nAnswer: m, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59 + 70. Let q(n) = 6*n - 64. Let p be q(x). Which is the nearest to p? (a) -4 (b) -0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 6:32 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -424501 (base 8) to base 13\nAnswer: -4c60b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 542?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.27 + 0.17. What is the nearest to v in 0.5, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -432 - -459. Find the common denominator of -5 + 87\/u*-1 + 0 and -109\/84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003614463833 to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2221*i - 48734 + 42839 = -148039 for i.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4289 - 4289 + 70*m)*(-14 - 16 - 28) as p*m + i and give p.\nAnswer: -4060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/(-26))\/(-1) - (-16683)\/166?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22464\/78*19\/304?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -9. Suppose u*h = -0*h - 21. What is h rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + -3 - -28 - 1128\/96)\/((-2)\/488)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(441)*2 - sqrt(441)))\/(4*sqrt(63)) + -2)**2.\nAnswer: 3*sqrt(7) + 127\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 56 = 5*s. Let f(z) = -z**3 + 7*z**2 + 2*z - 10. Let o be f(7). Let p = 10 + o. What is the lowest common multiple of p and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31250*j**2\/9 + 60176000*j - 260722870272 = 0. What is j?\nAnswer: 1083168\/125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 16 + 1\/3*h + 1\/3*h**2 + 1\/9*h**3. Solve q(x) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*j - 15482 - 5257 = 0, 2*x - 8290 = 3*j. Is 105 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 2\/15 (b) 47 (c) 1\/3 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 3*k**2 + 2*k + 12. What is t(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2592)\/(-36))\/9 + -1 + 4. Solve 15*t - 5*s = v*t + 12, 18 = -5*t - 2*s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/18)\/(13\/((-156)\/18)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.6? (a) 2690 (b) -1 (c) -0.6 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 21 - -a5?\nAnswer: c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1631193 and 460353?\nAnswer: 2661","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78390 = 24*r - 78246 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 260\/884*68*1\/(-1)*3\/78.\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 6*z + 7 = 0. Suppose -8*l + z*l + 3 = 0. Suppose 4*j = j - l, -j = -s + 8. What is the highest common factor of 21 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 734, 670, 582, 482, 382, 294, 230, 202?\n\"Answer: 2*v**3 - 24*v**2 - 6*v + 762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352301?\nAnswer: 352301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 339130 and 92490?\nAnswer: 1017390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4\/21 + -1\/3. Let f be ((-35)\/9)\/(2\/(-3)) + 1. Let a = 275\/42 - f. What is the biggest value in 2, z, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -312 + 360. What is the remainder when 52 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 12) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 4, f: 3, g: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -203, -424, -645, -866, -1087, -1308?\n\"Answer: -221*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**4\/24 + 3*r**2. Let j(q) = 2*q - 2. Let z(i) = j(i) + 3*y(i). Let h be ((-2)\/2)\/((-5)\/10). What is z(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/4)\/(6\/48). Suppose -10*p = -7*p - l. Solve -3*w - 10 = p*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1855380906 to the power of 1\/3, to the nearest integer?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 12674163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-12) - (-8754)\/(-198). Let o = 292\/11 + n. Let z = -41 - -23. Is z >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.9 + 14. Put -1\/4, f, 3\/5 in ascending order.\nAnswer: -1\/4, f, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 445, 3615, 12241, 29059, 56805, 98215, 156025, 232971?\nAnswer: 331789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-8*(-7)\/(-56))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-2 - 0) - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 8557974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from iiqpiiqppqiiqiiiwiii.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26 - -35.5. Let v = 9 - t. Which is the closest to -1\/2? (a) 2\/3 (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 13*m - 16. Let k(j) = 811*j + 6 - 820*j + 5. Determine 5*d(p) + 7*k(p).\nAnswer: 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*g - 4 = -29*g + 4*z, 4*g - 1 = 2*z - 9*z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4 + 168*v**3 + 345*v**2 + 174*v.\nAnswer: -3*v*(v - 58)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (768\/(-2))\/(-3). Let v = -86 + h. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 2*f + 9 = -4*p, -p + 3 = -5*f. Let a(u) = u**3 + 10*u**2 + 9*u - 5. Let l be a(-9). Sort p, l, 9.\nAnswer: l, p, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 8 = -4*a + 3*a, 14 = 3*a + 4*g. Put -1, a, 3, -7 in decreasing order.\nAnswer: 3, a, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000055492 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 101 + -89. Put -6, -2, l, 5 in descending order.\nAnswer: l, 5, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 773390.9 grams?\nAnswer: 773390900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6*k**2 - 242*k + 863. Give b(-44).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498104.\nAnswer: 2, 19, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -390 - -1901. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 4*i + 6, 2*h - 2*i - 2 = 5*h. Let t be (9 - 6)\/(h + -1). Calculate the greatest common divisor of 33 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*-3*(sqrt(75)*-1 - sqrt(75) - sqrt(3)*-1*-2) + -4.\nAnswer: -180*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - i + 4. Let x be u(0). Solve 0*z + x = -4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 2\/11, 0.4, 15, 19, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -7. Suppose o - 3*o + 26 = 0. Let j = o - i. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 102\/(-15)*-5 - 8. What is the highest common divisor of o and 650?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/8 (b) -5 (c) 2 (d) 5\/1986 (e) 23 (f) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 1:26 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1449, -2686, -3717, -4542, -5161?\n\"Answer: 103*j**2 - 1546*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105 - 88. Let s = t + -17. Suppose -4*v + 68 = 2*k, s = 4*k - 3*k + 5*v - 31. Calculate the least common multiple of 28 and k.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w**2\/5 - 1168170*w - 5840844\/5 = 0. What is w?\nAnswer: -973474, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2262309, 4524491, 6786673?\n\"Answer: 2262182*h + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 2*s**2 - 3*s - 4. Suppose -2*j + 4 = 4. Suppose 18*m - 17*m - 9 = j. Calculate the least common multiple of c(-3) and m.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6479025 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1395, -2\/3, -1\/4, -2, 2\/29, 2.9, 4?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23, 991, 4351, 11531, 23959?\n\"Answer: 238*w**3 - 232*w**2 - 2*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 11754834059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11915 + 10*u - 11915.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 613173549 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3 + (-4 + 2 + 4)*(2 - 2 + 2) - 1 - 1 - 2)*(0*k**5 - 3*k**5 + 0*k**5).\nAnswer: 6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 2. Let d be v(-2). Suppose d*q - 22 = -0*q. Solve 9*z - 4*z = -5*i - 5, 2*z + 5*i = -q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -257*u + 244*u - 2 - 10 - 1 wrt u?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4 = 4*p - 12, -3*q + 5*p = 16. Let m(w) = w**2 + 1. Let t be m(q). Solve -3*r = -3*f - 3, 12 = -f + t*f + 4*r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2 + 1. Let d(w) be the first derivative of 0*w - 1\/2*w**2 - 7\/3*w**3 - 1. Determine d(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -131 + -7 + (2 - -1). Is 5692*j\/(-72)*(-2)\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 20. Suppose -4*i - 2*y + 16 = 0, 0 = 3*i - 5*y + 1 - 0. What is the greatest common factor of v and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*x - 396 = 28 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8 - 14 + 13 + 7*p + 2*p**2. Is x(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**5\/3 + 2992*h**4\/3 - 439504*h**3 + 149228992*h**2\/3 - 4975230752*h\/3 = 0.\nAnswer: 0, 74, 674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -14. Is x > -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1682 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - y. Let s(x) = 16*x**3 + 15*x - 17. Let i(v) = -5*v**3 - 5*v + 6. Let a(f) = -17*i(f) - 6*s(f). Give -a(h) + 5*u(h).\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.04, 0.2, 2\/3, -0.12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375265?\nAnswer: 5, 11, 6823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 28 - 29)*(-4*t**4 + t**4 + 0*t**4 - t)*(10*t - 10*t + 27*t).\nAnswer: 1620*t**5 + 540*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1 - 6*r)*(3 - 5 + 4).\nAnswer: -12*r - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s - 2. Let t(v) = 1. Let h(r) = -n(r) - 5*t(r). What is the units digit of h(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8049 greater than or equal to -8072?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**3 - 7*z**2 + 3*z + 3. Let l(u) = 3*u**3 - 7*u**2 + 2*u + 2. Let f be -5 + (-10)\/35 + 51\/7. Give f*d(g) - 3*l(g).\nAnswer: -g**3 + 7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 q when four letters picked without replacement from {h: 3, g: 4, z: 2, q: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h\/((h\/(h\/(h*h\/(h**(-18)*h*h))*h))\/h)))\/h)\/h)\/h*h)**(-44) assuming h is positive.\nAnswer: h**(-616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -16375558?\nAnswer: -16375558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 16 + 6*d - 21*d)*(1 + 0 + 1)*(0 + 1 + 1)*(-d**2 + 0*d**2 + 2*d**2) to m*d**3 + o*d**2 + i*d + u and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2032\/(-120) - -17)*-5)\/(1\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5194?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 2*t + 2*t)*(-2*t**3 + 0 + 0) + 7*t - 7*t + 16*t**4 + 2759*t**3 - 2759*t**3 + 4*t**4 - t + t**2.\nAnswer: 22*t**4 + t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13611\/4 or 3403?\nAnswer: 3403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p + 4. Let j be d(5). Suppose j = -2*q - 8. Let u = q - -16. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008908 to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 544 - 569.1. Let u = 25 + i. What is the closest to u in 0, -0.5, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 2*g**2 - g**2)*(0 - 16 - 4)*(47 + 16 + 30).\nAnswer: 3720*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1410, 2797, 4182, 5565, 6946, 8325?\nAnswer: 9702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4362122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63*f**3 + 63*f**3 + 21*f**5)*(-2 + 1 + 3)*(1 + 0 + 4) - 5*f**5 + 4*f**5 + 3*f**5.\nAnswer: 212*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 330471 to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -62479759 divided by 7?\nAnswer: -62479759\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -45.17752 and 63?\nAnswer: -2846.18376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -5*v + 1, -6*i + 11*i - 3*v = 13. Suppose z - w - 19 - 47 = 0, i*z - 137 = 3*w. What is the remainder when z is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467278261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 3, 127, 2\/5?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.049.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -688*f - 17393. Give q(-25).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43341 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 51 = 2*h, -4 + 1 = -3*k. Suppose -2*p + h + 0 = 0. What is the third derivative of -p*m**3 + 99*m**2 + m**3 - 106*m**2 wrt m?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**2\/19 + 124*q\/19 + 240\/19 = 0. Calculate q.\nAnswer: -60, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 238, 473, 710, 949, 1190?\n\"Answer: g**2 + 232*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + y + 16 + 11, 0 = 5*a + 3*y + 31. Let j = -323 + 4201\/13. Sort -2\/11, j, a.\nAnswer: a, -2\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -88*p**2 - 12*p + 15. Let i be k(5). Let v be 4 + (-1 - (-6745)\/i). What is the fourth biggest value in -0.4, -2, 0.3, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 19 + 4*v)*(-3*v + 4 - 4).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 0)*(-48)\/(-32). What is the highest common divisor of 9 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/66 and -11\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16524147.\nAnswer: 3, 31, 177679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8006 divided by 8?\nAnswer: -4003\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*a - 18, -p + 8 = p. Let u = a - -5. Solve -3*y = -u*y + j - 5, 0 = -2*j - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2. Let v(a) = 2*a - 1313. What is v(q(p))?\nAnswer: -2*p**2 - 1313","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(35) + sqrt(140)\/sqrt(4))*-2)\/sqrt(5))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 14*j**2 - 3*j + 5. Let p(u) = 27*u**2 - 5*u + 9. What is -5*d(t) + 3*p(t)?\nAnswer: 11*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 23*t**2 + 15*t - 40. Let x(z) = -6*z**3 + 117*z**2 - 75*z + 199. Let m(r) = 11*v(r) + 2*x(r). Does 12 divide m(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Suppose z = -2*o - 1 + 3. What is the third smallest value in -2\/13, 5, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 329727.8 centuries in millennia?\nAnswer: 32972.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 36273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 84\/9*(-337638)\/(-56) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*s = 6. What is the second derivative of 2*b**s - 4*b**3 + 6*b + 6*b**3 wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -3. Let o(g) = g**3 + 6*g**2 - 7*g + 2. Let i be o(-7). Suppose 0 = 3*z + 5*q + 16, i*z + 2*z - q = -6. What is the closest to b in z, 1\/6, 2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -628826\nAnswer: 628825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pplppplppp. What is prob of sequence pllp?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1736 + 1772. Let c = -2 + 1.9. Which is smaller: c or f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -73 + 10. Suppose 4*c - a = -4*m + 1, 0 = 4*m - 3*c - 15. Solve 0 = -u + m*u - x + 9, 2*x + 6 = -2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 1 - 16. Let c be ((-27)\/18)\/(k\/(-4)). Does 19 divide 1 + 2 + -4 - 54\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6926 - 6192. What is the remainder when l is divided by 57?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -764 - -767. Suppose -26*z - 578 = -2372. Calculate the remainder when z is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 7\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9.54654 times -0.029\nAnswer: -0.27684966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 - 98*s**2 - 106*s + 285. Give j(50).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11686*s + 8506 with respect to s.\nAnswer: -11686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o. Let a(g) = -1576*g**2 - 9*g + 3094*g**2 - 1539*g**2. Calculate a(f(t)).\nAnswer: -336*t**2 - 36*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23.72 - 46.12. Let q = 4.3 - 26.3. Let o = q - n. What is the fourth smallest value in -2, o, 5, 1\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -871 and 0.01.\nAnswer: -870.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6609mm in meters?\nAnswer: 0.0036609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4142786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 + 4942*x + 98168. Calculate r(-20).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/((-438)\/(-464))*6*9\/(-36)?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18\/(-12))\/(4 + 17\/(-4)). Let o(r) = -r**2 + c*r**2 + 0*r - 4*r - 3*r**2 - 113 + 117. Calculate o(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (36 + (-51 - -40)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.26811 - 58.\nAnswer: -56.73189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16940 by 3388.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 17*o**2 - 17*o - 17. Let v be 12\/42 - 228\/14. Let y be l(v). Let u be y*(1 + 3)*-1. What is the highest common divisor of 20 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -1\/60*d**4 + 6*d + 0*d**2 + 0 - 1\/30*d**3. Factor t(o).\nAnswer: -o*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-5))\/(1\/5). Let g(b) = -8*b - 8. Let n(h) = 7*h + 7. Let z = -111 - -115. Suppose -o + 20 = z*a + 2*o, 5 = a - 3*o. Give a*g(m) + c*n(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a - 9*a - 87*a - 23*a)*(13 - 22 + 0).\nAnswer: 1107*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 373 (c) 1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4203 divided by 4\nAnswer: -4203\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-32)\/104)\/(-2) - 56\/26. Let o be (-11 - -12) + c\/10. Let u = -0.1 - -2.1. What is the closest to 5 in -3\/5, o, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-106)\/34 - ((-40)\/5 - -5). What is the nearest to 2\/5 in 3, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of j**2 + 0*j**3 - 1\/6*j**6 + 0*j + 0 + 1\/12*j**5 + 1\/18*j**7 + 5\/36*j**4. Factor y(k).\nAnswer: 5*k*(k - 1)**2*(7*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 10*h**2 - h + 1. Let g be c(-4). Suppose 4*b = -5 + g. Is b a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16\/219 - -5261\/3066. Find the common denominator of 31\/4 and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346*d - 1012 = -5*b - 349*d, 3*b - 588 = -5*d. Solve 46*x - b = -68 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 704 + -418. Calculate the smallest common multiple of j and 4.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*w**4\/3 - 5240*w**3\/3 - 13054*w**2 - 63404*w\/3 - 29282\/3 = 0 for w.\nAnswer: -121\/10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/14 - (-18783)\/(-126). Put r, 2, -5 in ascending order.\nAnswer: r, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nu when two letters picked without replacement from {e: 8, u: 3, t: 2, n: 6}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a9a4 + -7664?\nAnswer: 43340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1464 = 3*z - 5*k, z - 9 = 3*k + 487. Calculate the greatest common factor of 8 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times 6699181?\nAnswer: -468942.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 286480 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 6*g + 17 = 9*g, -3*y + 5*g = -17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + -1 - (-320)\/((-28)\/(-7)). Let m = -78 + i. Suppose m*q = 14*q - 324. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v - 1. Let l(i) = -68*i - 74*i + 144*i - 3. Determine -2*l(y) + 7*w(y).\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccnggngghhcg. What is prob of sequence ngg?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9067574.\nAnswer: 2, 751, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h. Let m(c) = 65*c**2 + 68*c + 160. Give m(u(f)).\nAnswer: 65*f**2 - 68*f + 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 943 is divided by 105?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2652 and 36516.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*4782\/18*1. Suppose 2*s + 3*s - 5 = 0, 0 = 3*a - 4*s - p. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2. Let t be 5670\/6 + (0 - 24\/(-4)). Let v(z) = -472 + 10*z + t - 481. Give v(a(k)).\nAnswer: 10*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 0.1119?\nAnswer: -0.3119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4191013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2486.1605 to the nearest ten.\nAnswer: -2490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -1311032022?\nAnswer: 1311032012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 795375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 17 + 13. Let t be v\/9*(-6)\/(-20). Let u(p) = -p**2 + 2*p + 4. Let d be u(3). Which is greater: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 2. Let d = -0.05036 - 4.94964. Which is the closest to d? (a) f (b) 2 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 9*i + 7. Let z be g(7). Let f be 0*(0 + 0 - -1). Which is the nearest to f? (a) -0.2 (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - 3*c + 2*c)*(-7*c**3 - c**3 + 0*c**3) + (-c + 2*c - 2*c)*(-3*c**3 + c**3 + c**3) to the form l*c**4 + d*c**3 + m*c + o + q*c**2 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114\/100016*42)\/(3\/(-4)).\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j - 2*j + j)*(22 + 8 - 158) + 0*j - 2*j + 0*j to the form u*j + p and give u.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w + 0*w)*(-1 + 0 - 2)*(2*w + 21*w - 6*w).\nAnswer: -51*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -49? (a) 1\/27 (b) -0.5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 50 and -0.156.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 25. Let u(i) = i**3 - 2*i**2 - 5*i + 3. Let n be u(l). Is (1\/(-1)*-2039)\/(n + 4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20058702 to the power of 1\/3, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 523*c**4 + c**2 - 3 + 5 - 524*c**4 + 2*c + 5*c**3 in the form h*c**4 + m*c**3 + o + z*c**2 + b*c and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16680 + -0.2115.\nAnswer: 16679.7885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1434147 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f. Let o(k) = -11*k**2 + 8 - 13 - k**3 + 0*k**3. Let l = 1 + -12. Let h be o(l). Let b(z) = 4*z. Determine h*i(w) + b(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 0 (b) -1\/3 (c) -54 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) 0.4 (c) 1\/3 (d) -1 (e) -0.14 (f) -23\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 322 and 2303?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156753 is divided by 52199.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 209.225 centuries in years?\nAnswer: 20922.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5218*c**2 + 52*c + 157983 wrt c?\nAnswer: 10436*c + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*z - 0 + 60. Let n be 6\/z*(-75)\/(-10). Let d be -3 + 7 + n - -8. Solve d*m = 5*t - 2*t - 15, 0 = -2*m - t - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 386 + 4c6?\nAnswer: 86c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -3\/8, -7, -1.35, 0?\nAnswer: -1.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/31))**(3\/8)*((p\/(p**(-34)*p)*p)\/p)**(1\/83) assuming p is positive.\nAnswer: p**(4465\/10292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24708189 to the nearest integer?\nAnswer: 4971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*w + 18*w + 23*w + 16*w + 3849*w**2 - 8 + 16*w.\nAnswer: 3849*w**2 + 2*w - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8453 and 1391?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3328 (base 11) in base 3?\nAnswer: 20000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 5 (c) -2 (d) 0.32 (e) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-4)*(k*k*k**(-4\/9)*k)\/k)**(-17\/4) assuming k is positive.\nAnswer: k**(-1003\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/6)\/(3\/(-6)). Suppose -15 = -0*v - n*v. What is the smallest common multiple of 1 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -279658225 plus -43?\nAnswer: -279658268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*x = 6, 4 = 3*k - 2*k - 4*x. Suppose 4*z - 24 = 0, -7*z - 22 = 5*t - 29. Which is the nearest to t? (a) 4 (b) k (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 518.0022 + -518. What is t rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.473 to zero dps.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3348 times -0.3\nAnswer: -1004.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15290 and 124615.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10111 - -10111. Let b(o) be the second derivative of d - 1\/6*o**3 + 3\/2*o**2 + 2*o. Give b(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264394765.\nAnswer: 5, 52878953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 16, -2, -5, 2 in decreasing order.\nAnswer: 16, 2, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 5\/2, 5.\nAnswer: -5, -4, 5\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -111 - -112.27. Let p = s + -0.27. What is the third smallest value in 0, p, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - -174850?\nAnswer: 174858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*(-21 + 2472\/120).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-4\/3))**46*(s**8*s)\/s**(-4\/7))**(-15) assuming s is positive.\nAnswer: s**(-12275\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/21 - ((-508)\/7)\/2. What is the greatest common divisor of 27 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q + 2 - 4 + 13*q. Let t be -2 + 1 + 0\/2. Let a(o) = -3*o - 16. Let v(d) = -2*d - 12. Let c(h) = -3*a(h) + 4*v(h). What is t*j(f) + 10*c(f)?\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, 0, 3, -41 in ascending order.\nAnswer: -41, 0, 3, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 + 6.39. Let b = i - 0.4. Let k = 10 - b. What is the second smallest value in -0.2, k, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 456000 and 16?\nAnswer: 456000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, -3, 0, -488 in descending order.\nAnswer: 0, -3, -68, -488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263 + 64 = 3*o. Let a = -1230 + 1265. Calculate the remainder when o is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 58, 77, 96?\n\"Answer: 19*g + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-21)\/(-12) - 2) + 15\/28. What is the second biggest value in g, -1, -2\/7, 55?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 99*y**2 + 2404*y + 226. Give d(56).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 8. Let t be n(10). Suppose -4*s + i = t*i - 9, -2*s = -4*i. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*x - 9. Suppose 0 = -l - 4*l + 300. Suppose 7*g - 2*g - 104 = -3*m, x*m - l = -3*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23802.\nAnswer: 2, 3, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-6 - -3) + 5 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -136 + 1?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 1:17 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -264 or -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**5\/5 - 93*v**4\/5 - 297*v**3\/5 - 303*v**2\/5 - 102*v\/5 = 0.\nAnswer: -1, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*h + 34, 3*h + u - 66 = -u. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66 + 76. Let r be (-21)\/(-49) + 3\/((-42)\/d). Suppose -7*o = -3*o. Which is the closest to o? (a) r (b) 3 (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295.6055 litres in millilitres?\nAnswer: 295605.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4 = -5*b. Let m be (2 - b) + 2 - (0 - 0). Solve 5*o = 2*o + m*r - 17, 2*o + 18 = 5*r for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 1 + 2 + 2*d - 3. Let j(b) = -2*b + 1. Calculate -2*j(f) - o(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 55929.77 nanometers in micrometers?\nAnswer: 55.92977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*d + 42 = 0, 3*q = 5*q - 3*d + 18. Is 13 a factor of -1 - (2 - 4) - q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 235190 and 120?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -17 - 5\/((-60)\/16)*3. Let y(j) = -2*j - 6. Let l(b) = 4*b + 13. Let n(s) = p*y(s) - 6*l(s). Let t(g) = -44*g**2. Determine t(n(a)).\nAnswer: -176*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0 - 9 = 0, -5*y = 4*h + 2. Suppose -3*u = -4*b + 168, u - 37 + 119 = 2*b. Suppose y*s - b = s. What are the prime factors of s?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 292 + 84 = 0. Calculate the remainder when 8\/20 - 223\/(-5) is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -475017*q**4 - 114117*q**2 - 2.\nAnswer: -11400408*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = -61 + 199 - 108 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16423 - -328571\/20. What is the common denominator of -7\/52 and c?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/6)\/((-4)\/(-24)). Let g = -37 - -48. Differentiate -g - 15*t**k + 9 + 2 + 29 with respect to t.\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 16*p + 15. Let o be r(-1). What is the fourth biggest value in 6, o, 1\/11, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -12*m - 72. Let j be (-4)\/(-16)*-138 + (-1)\/(-2). What is the units digit of a(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yueyhwy. What is prob of picking 1 h, 1 u, and 1 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*z = -11144, -9*h + 2*z = -12*h + 11152. Let s = h - -979. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.64 (b) 0.9 (c) 0.24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 351239953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k - 5. Let x be r(-9). Suppose -4*n + 2*q = -q + 4, x*n - 20 = -3*q. Solve -11 + n = 3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*((-1 - -7) + -3). Let p be c\/(-6) + 1\/2. Suppose 3 = p*i - 7. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-6)*s*s\/(s*(s*s*s**(-1\/4)*s*s)\/s)*s*s**(-1)\/s**(1\/6)*((s\/((s\/s**0)\/s*s))**20)**19 assuming s is positive.\nAnswer: s**(-95\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/11))**(1\/25)*j**1*j*j*j**(1\/7)*j assuming j is positive.\nAnswer: j**(7989\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 1, -42, -83, -116, -135, -134?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 21*u**2 + 5*u - 15. Let o be w(-4). Suppose 2*n = -2*t + 598, 21*t - n = 20*t + o. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.161864 times 0.4?\nAnswer: 0.0647456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 13. Let b be -10*(2 - (26\/4 - 4)). Suppose 5*t = -2*o + 17, -r*t - b*o + 13 = -7. Solve -t*y + 1 + 2 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.1470517 rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 0*k - 17\/3*k**3 + 37\/24*k**4 - 77*k**2 + 0. What is the derivative of w(a) wrt a?\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times 587.1?\nAnswer: -3522.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 115420721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -34*l**2 - 38 + 24 - l - 5*l + 11*l**2 + 20. Determine m(1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 5:03 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 75726599?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (247*t - 105*t - 8 + 937*t + 8)*(0*t + 2*t - 3*t).\nAnswer: -1079*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 157, 329, 501?\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63988, -63984, -63976, -63964?\nAnswer: -63948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/2783 and 47\/780208.\nAnswer: 17944784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((2*sqrt(270) - sqrt(30)) + (sqrt(480) - sqrt(480)*-3 - sqrt(480)))\/(-2*(3*sqrt(216)*1 + sqrt(216))))**2.\nAnswer: 3749\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -871, -1677, -2483, -3289, -4095?\nAnswer: -4901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/533976 and -75\/2313896.\nAnswer: 6941688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -329*w + 852 = -991 - 131 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - -26. Let s be 7\/c*0\/2. Suppose s = -7*y + 1 + 48. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y - y + 5*y - 5*y + 5*y + 6*y + (-3 + 2 + 0)*(-y - 1 + 1) - 3*y + 3*y - 3*y as r + a*y and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 26*d - 7 + 5 to l*d + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 22*t**2 - 12*t + 182. What is the remainder when o(21) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 4*s + 3. Let u be q(4). Suppose -8*w + 9*w = u. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**4 - 40*i**3 - 30*i**2 + 40*i + 35 = 0.\nAnswer: -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 9:52 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1239158 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 + 27 + 32 + (0 - -5).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 6 = 2*h, -9*j + 41 = -4*j + h + h for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-6) + 455\/75 + -5. Which is the closest to 0? (a) 1 (b) 11 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5ead4 - -150?\nAnswer: 5ec24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + t = -337, -363 = -4*z - t - 97. Suppose z*y - 21*y - 51612 = 0. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130596?\nAnswer: 2, 3, 10883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(3\/7)*w)**47)**14 assuming w is positive.\nAnswer: w**1598","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16517 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 0*i + 0*i**6 + 5\/4*i**4 - 1\/3*i**3 + 0 + 1\/60*i**5 + 50*i**2 + 1\/30*i**7. Find the second derivative of w(p) wrt p.\nAnswer: 84*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74 + 67 - 155)*(3*g + 5*g + g).\nAnswer: -1458*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1191)\/(-9) - (-8)\/(-6) is divided by 1\/((-2)\/66*-1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77165886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 0, 33, -1 in decreasing order.\nAnswer: 33, 4, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 30*y + 109. Let u be m(-5). Let f = 476 + u. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -325 - -465. Suppose -11*s = -4*s - t. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17077 (base 10) to base 9.\nAnswer: -25374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 286 - -3?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2943 + 6*v + 2*v + 0*v - 2625. What is the tens digit of x(40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 104 - 70. Let r = 46 - v. Solve 5*m + 3*l - r = 0, m + 5*l = -2*m + 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.295065 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**4 + 162*w**3*y**2 + w**3 + w**2*y + 2*w*y**2 - 5*w*y wrt w.\nAnswer: -48*w + 972*y**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**3 + 0*v**2 - 7\/12*v**4 + 11*v - 1\/20*v**5 - 5. Suppose 5*o - 1 + 31 = 0. Give p(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -136, -4, 5, -1 in descending order.\nAnswer: 5, -1, -4, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 2. Let k be t(-2). Suppose 0 = -k*c + c. Let q = 29 - c. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*r + 38, 4*j + 2*r - 36 = -2*r. What is the lowest common multiple of 9 and j?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 3*c - 5. What is the nearest to c in 2\/13, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12522985?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 325 divided by -6\nAnswer: -325\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 100 - 95. Solve -2*c = s*m - 23, 0 = -m - 5*c - 0*c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - q - 12, 4*z + 0 = -5*q + 4. Is (2\/z)\/((-6)\/996) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 784, 1322, 1884, 2470, 3080?\nAnswer: 3714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 25*i - 124. Let l = 20 - -57. Calculate the remainder when l is divided by k(-30).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14880 divided by 3720.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2711854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6283403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + n**2 - n - 6. Let v be y(-7). Suppose -3*q + i = -0*i + 229, 5*q + 4*i + v = 0. Let o = -3 - q. What are the prime factors of o?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -12 - (5 - (35 - 15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89070 divided by -2.\nAnswer: 44535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 4) to base 15\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2268*y - 860 = 2258*y. Calculate the greatest common factor of y and 1376.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1236, 2, 1 in increasing order.\nAnswer: -1236, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*w - v, 0 = 5*w - 4*w - v - 433 + 440 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 33. Factor 2\/3*t**5 + 2\/9*t**3 + 2\/9*t**2 + 0 - 10\/9*t**4 + c*t.\nAnswer: 2*t**2*(t - 1)**2*(3*t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/1)\/(-6))\/((-48)\/(5568\/(-899)))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 147944 and 218?\nAnswer: 16125896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17 (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -289053 divided by 28\nAnswer: -289053\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 25*r - 4. What is the remainder when d(2) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 + 52. Let c = 22 - w. Let n be -20*(0 - (-12)\/c). What is the highest common divisor of n and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*l + 39 - 39)*((4 - 4*l - 4)*(-166*l + 4963 - 4963) - 2*l**2 + l**2 - l**2) in the form s*l + r + u*l**2 + q*l**3 and give q.\nAnswer: -7944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(49)\/(sqrt(7) + sqrt(21)\/sqrt(3)))**2 + sqrt(7)).\nAnswer: -sqrt(7) - 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8015370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 22584*j - 1495172.\nAnswer: -4*(j + 67)*(j + 5579)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-1)\/(3\/9). Let u = a - -4. Suppose u*f + f = 9. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -4*r**5\/5 + 8*r**3\/3 - 4*r + 1. Determine t, given that j(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r = 15*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-40)*(1 - 2). Which is the closest to 0.2? (a) n (b) 3\/8 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q - 2*q + 3*q)*(0 + 3 - 2)*(8*q + 4*q - 20*q) + 11*q + 28*q + 35*q**2 - 38*q.\nAnswer: 51*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - w = 0, -2*h + 1 = -w - 0*w. Suppose 0 = -349*i + 355*i - 18. Suppose -j = h - i. Solve j = s + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 134.2024 centuries?\nAnswer: 161042.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 2:37 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 644623 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -6.9. Let n = m - -0.1. Let y = -130.5 + 130.9. Which is the biggest value? (a) n (b) y (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 4*o + 1. Let y be s(3). Let x be 2\/(y\/9 - 0). Which is bigger: -6 or x?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 + 33 + 9*m - 7*m - 206 + 114 + 0*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**4\/3 + 6*q**3 - 16*q**2 + 6*q. Determine j, given that x(j) = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + z**5 + 2)*(26 + 30 - 55).\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -314.297?\nAnswer: -314.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d2 + -148?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4972446, -4972452, -4972460, -4972470, -4972482, -4972496?\nAnswer: -4972512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4822914 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 17. Let u = j - -12.9. Let k = -33\/2 - -67\/4. What is the second biggest value in -3, k, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**6\/120 + 11*o**5\/60 - 5*o**4\/12 - o**2. Let l be b(10). Which is greater: -2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37 - -32) + 3 + -4 + 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214071.6 - -552.\nAnswer: 214623.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4*n - 704, 0 = -4*n + 7*n - 2*x - 503. Let y = n + 34. What is the remainder when y is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + k**2 + k + 1. Let m(q) = 49*q**3 + 6*q**2 + 8*q + 6. Determine -m(v) + 6*p(v).\nAnswer: -43*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z - 10. What is s(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ubba when four letters picked without replacement from {a: 5, u: 2, b: 3}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -325 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*x + 2*x + 612 = 128 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 11*w = 221, -13 - 17 = 5*w - 35 for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -319 + 27437\/86. Let u = -6629 - -6626. Which is the third smallest value? (a) x (b) u (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43509407, -43509409, -43509411, -43509413, -43509415, -43509417?\nAnswer: -43509419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 1.64. Let g = n - 2.247. What is g rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5.14 (b) -35 (c) 1107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/8*(-61656)\/(-21) + 1. Let f = z + -735. Factor 0 + f*w - 1\/8*w**2.\nAnswer: -w**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -10. Let k be 5*(g + 2 + 1). Which is the nearest to 0? (a) 1 (b) k (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -183*y - 22. Suppose 6*t + 14 = 4*t. Is v(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -54 in -1\/2, 4\/7, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 + 6*j**2 - 8*j**2 + 6*j**2.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84 + -53. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43746365 to the nearest 10000.\nAnswer: 43750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 - 198*g**3 + 63*g**3 + 58*g**3 + g**2 + 983*g - 985*g.\nAnswer: -77*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -267321 + 267320. Let s = -520\/957 + 14\/29. Sort 0.1, k, s in decreasing order.\nAnswer: 0.1, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 5)*(-i**2 + 4*i**2 - i**2).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 - -39. Suppose t*j + 4 = 8. What is the second biggest value in 1\/4, j, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-10))\/(63\/(-24)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/2)\/((-3)\/(-21))*334\/21209*-127?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23964094 to the nearest integer?\nAnswer: 4895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.28 - 0.18. Is l at least -0.114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45322 - 44067. Calculate the greatest common divisor of 502 and p.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.28 in 22, 1\/7, -0.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p + 2*p - 2*p + 8*p - 2. Is a(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.79 and -105.\nAnswer: -82.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9055186?\nAnswer: 2, 7, 17, 38047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from annann.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -1\/6, -2, 0.1, -1\/41?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 + 16 - 18)*(-237*x - 227*x + 454*x - 8*x**2).\nAnswer: -240*x**2 - 300*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from omomxzoomuoommdomdx. Give prob of sequence mmud.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2387 is divided by 126.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1))**(-2) assuming b is positive.\nAnswer: b**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 49*i - 7492. What is a(153)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(6\/13)\/((m\/(m**(-2\/21)*m))\/m)*m**(-3)*m*m**20*m)**(-7) assuming m is positive.\nAnswer: m**(-5560\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.062 (b) 0.5 (c) -2 (d) -1\/4 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*r + 100*r - 348 = 54*r. Put -301, -5, r, 2, -1 in descending order.\nAnswer: r, 2, -1, -5, -301","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.08 + 0.1. Let i = -0.297 - d. Round i to two dps.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - 13) + 31 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3*c - 1, 16*i = 21*i - 5*c + 5. Put 3, -56, i in ascending order.\nAnswer: -56, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -105, -110, -119, -132, -149?\n\"Answer: -2*z**2 + z - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, h: 2, y: 1, i: 2}. Give prob of picking 1 j, 1 i, and 2 h.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1366103?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000055121 rounded to 6 decimal places?\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -2\/5 (c) 4\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by 7.\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4759 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2488, -9627, -21362, -37693, -58620, -84143?\n\"Answer: -2298*l**2 - 245*l + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 4*f - 3*u = 0, 2*f + 7 = -5*u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - -16. What is the least common multiple of z and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -8*c + 718. Let q = c - -168. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(1573)*3*6 - sqrt(1573)) + (sqrt(1573) - ((sqrt(1573) + sqrt(1573)*3 + sqrt(1573) - sqrt(1573)) + -4)) + sqrt(1573))**2 + -3).\nAnswer: -2123628 - 7920*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, 285, 702, 1119?\nAnswer: 1536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7152083 minutes to nanoseconds.\nAnswer: 42912498000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -1131042133?\nAnswer: -1131042142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -123134 by 58.\nAnswer: -2123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10843720 * 3\nAnswer: 32531160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233257 = 11*w - 4*w - 1365017. Round w to the nearest one thousand.\nAnswer: 162000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*v + 59*v = 40 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhfhhhffffhhhhe. Give prob of sequence fhf.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1225 in -4, 3, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 4:05 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40467 - 35851. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tr when two letters picked without replacement from rgatg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 2 - 1 - 6*s. Let f be l(-1). Solve 0 = 3*m + m - f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-12)*(-24)\/(-27)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113576 = -5*t + 25*c - 28*c, t - 5*c = 22732. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3260255?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7789 - -0.1211. Suppose 0 = -3*s - 4*x - 3, -3*s = -2*s - x + 1. Put s, t, -0.1 in descending order.\nAnswer: t, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*v - 726 + 5 = 10958 for v.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(209) - (sqrt(209) + (sqrt(209) - (sqrt(209) + -2*-2*sqrt(209) - sqrt(209)))))\/(-5*sqrt(44)\/sqrt(4) + sqrt(176)*6).\nAnswer: 10*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -5. Let g be k\/3*2*-9. Let l(y) = -8*y - 2*y**3 + 3*y**2 + 6*y**2 - 3*y**2 + g + y**3. Give l(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 k, and 1 a when three letters picked without replacement from {a: 1, z: 1, n: 2, k: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 20 (b) 12017 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 715 and 91?\nAnswer: 5005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 4*i - 18, -4*j - 27 + 3 = -4*i. What is the fourth smallest value in 4, 1, -2\/15, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 24 - 61 = -13 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9443463 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (4 - -8)) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 6, -10, -44, -102, -190?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c = 4*c + 40. Let a(i) be the second derivative of -i**5\/20 + 5*i**4\/6 + 4*i**3\/3 - 2*i**2 + 3*i. List the prime factors of a(c).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + ((-2)\/6 - (-125)\/15). Suppose -i*l - 5*o - 4 - 11 = 0, 3*l + 2*o + 6 = 0. Do -2\/543 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62557060 by -15639265.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -60\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 1, 211, 3.\nAnswer: 1, 3, 38, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1988898 divided by -867\nAnswer: -2294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -29.56214\nAnswer: 236.49712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.091855 rounded to one decimal place?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1396958 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14.26, -7\/27, 2?\nAnswer: 14.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 9:10 PM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48797995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1765?\nAnswer: 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-32)\/36 + 962\/9 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*c - 835, -c + 131 + 288 = -3*d. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -2*m**3\/21 - 2*m**2\/7 + 116. What is n in u(n) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1197719 rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h. Calculate y(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 9644*y + 9647*y + 11, -3*v - 3*y = 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13058543\/1106 + 11807. Let w = -38131\/28756 + i. Find the common denominator of w and (-1 - -1) + (-106)\/(-8).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 166970740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3.7, -0.6, 40\/13, 109, 3, 0.2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 7:39 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 385 divide 127955303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 5:38 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 6 - (-60 + -4 + 15).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40 + 3?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*q + 11*q + q**3 + 15*q wrt q?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 9 + 7, -69 = o - 3*l. Let i = 87 + o. Let u be (i\/4)\/(6\/(-8))*-2. Solve 0 = y + u - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2. Let k(l) = -3*l**2 - 213. Determine k(t(r)).\nAnswer: -3*r**4 - 213","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*p + 19 = 96*p. Suppose 4*o - o + 6 = 0. Let m be 2 - (166\/40 + o). Is p greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-273)\/2 + (-3 - 5\/(-2)). Let j = 142 + y. Solve 5*i - j = -4*s + 2*i, -5 = -s - 2*i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63807783.\nAnswer: 3, 13, 17, 157, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6931296 divided by -16.\nAnswer: -433206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-432)\/(-72))\/(1\/(1\/(-1)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -54*c**3 - 4*c**2 - 4*c - 9. Let s(i) = i**3 + i**2 + i + 2. What is 12*s(v) + 3*x(v)?\nAnswer: -150*v**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 2525.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19842155 and 604463?\nAnswer: 456369565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -254910961*i**2 - 254009991 wrt i?\nAnswer: -509821922*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-1\/2))**(-3\/25))**(-2\/9) assuming q is positive.\nAnswer: q**(1\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 467*c + 14257 - 18756 - 26323 for c.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by 4?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 37039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -126230.9 rounded to the nearest one hundred?\nAnswer: -126200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/3)\/f)**(-2\/41)*f\/f**(-7)*f*(f*f*(f*((f\/(f\/(f\/(f\/(f*f**(-2\/11))))*f))\/f)\/f)\/f)\/f)**(-2\/71) assuming f is positive.\nAnswer: f**(-21376\/96063)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 523.9753 kilometers in nanometers?\nAnswer: 523975300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(5) + (2*sqrt(320))**2).\nAnswer: -3840 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -11. Is ((-8)\/16)\/(c\/(-892)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 4.986 tonnes?\nAnswer: 4986000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45962318 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 0. Suppose 3*u - r*u = -3*b - 25, -2*u = 2*b - 10. Let x = u + -2. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(5\/60)\/((-1)\/(-4))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 1)*(2*i - 2*i + 2*i)*(11*i**2 + 4*i**2 + 3*i**2).\nAnswer: -144*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h**2. Let p(l) = 5*l - 13*l + 5*l. Give r(p(w)).\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30\/47? (a) 4 (b) 0 (c) -3 (d) 2 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f - 4. What is v(8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27405 and 441315?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5031 + 32460?\nAnswer: 37511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3002 + -5696. Is (-3)\/(x\/1338 - -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.2 - -4. Let m = -0.08 + 3.08. Let h = m + -2.7. Sort h, n, -0.4 in increasing order.\nAnswer: -0.4, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**6\/360 - 3*t**5\/40 - 11*t**4\/24 - 5*t**3\/6 - 16*t**2. Let x(p) be the first derivative of j(p). Determine x(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 34*h + 1. Give g(-4).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -13. Let r be -3 + i\/(-8)*-4. Is 26 a factor of r\/(5 + -2) - -56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 15*d - 22. Let c be t(2). Calculate the highest common divisor of c and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3276 and 286166244?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -24 (b) -171 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4768, -9609, -14448, -19285, -24120, -28953?\n\"Answer: d**2 - 4844*d + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 4, -31, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 28*i. Let a(d) = 10100*d**2 + 100*d - 200. Let s(z) = -100*z**2 - z + 2. Let n(v) = 3*a(v) + 300*s(v). Give n(m(r)).\nAnswer: 235200*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 to the power of 1\/2, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-6)*(-7134)\/40426?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (224 - (-248 + 450)) + (-67 - -1)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*i = -69*w - 70*w + 135*w - 255, 5*i - 48 = 3*w for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 720*(-207)\/(316710\/204).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c + 27. Let r be m(-10). Let i(p) = -2*p**3 + p**2 + p - 5. Let h be i(r). Let u = 63 - h. Is 46\/5 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4 + 2. Let s = -3 + r. Is -2\/7 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*50\/(-90)*-9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 0 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -35*i - 33*i + 16*i**2 - 21*i + 84*i. Let m(p) = p. Determine b(m(f)).\nAnswer: 16*f**2 - 5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -96819045, -96819047, -96819049?\n\"Answer: -2*v - 96819043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 15. Suppose -2*c - 2*q - 18 = -3*c, m = q + 1. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + 0. Let z = 69.1 + -69. Which is the second smallest value? (a) z (b) -3\/8 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -275 or -522453\/1891?\nAnswer: -275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from deytdkkmm. What is prob of picking 1 y and 1 m?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 4*h**2 - 4*h. Let z be l(-3). Let g(k) = -3*k**3 - 13*k + 0*k**z - 22 - 19*k**2 + 2*k**3 + 7*k**2. Let o be g(-11). Is o smaller than 0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*b + 4 = -190*b, 3*b - 6 = -t. What is the fourth biggest value in 2\/13, 0.4, t, 134?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -14*k - 8. Let w be d(-2). Suppose -16*r + 6*r + w = 0. Factor 2*q**2 + q**4 - 12*q**2 - r*q**3 + 11*q**2.\nAnswer: q**2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -2873?\nAnswer: 2874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/14 - (-418353)\/91 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1143 less than 3?\nAnswer: 3.1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zy when two letters picked without replacement from zyyzzzzzyzz?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 4*h - 19276 + 19299, -5*h - 20 = 5*b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1480\/11? (a) -6\/7 (b) -3 (c) 1\/5 (d) 6 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1626 + -155. Round x to the nearest one hundred.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 3. Let b be k(0). What is the biggest value in 3\/2, 0.01, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-6 + 8) - (1 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4453 and ((-42)\/63)\/(4*2\/(-1752)).\nAnswer: 8906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117180873 - -1089.466.\nAnswer: -117179783.534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 387452 or 387450?\nAnswer: 387450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 9. Suppose 2*l - h + 24 = 3*h, 0 = -2*l + 2*h - 18. List the prime factors of k(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (217\/(-35) + 8)\/(3\/10). Let o be -3 + 2\/n*123. Let g = -377 - -719. What is the highest common divisor of o and g?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103130311202 - -3?\nAnswer: -103130311133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 - 7)\/(0 - -1) + (-28)\/(-238). Which is the third smallest value? (a) u (b) 4 (c) 11\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687646 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 + 24. Let f(l) be the first derivative of 3 - l**2 - 2\/3*l**h + 0*l. What is the second derivative of f(v) wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -152*f - 20 - 148*f + 308*f as u + m*f and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 29326?\nAnswer: -3\/14663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/5477 and -13\/2?\nAnswer: 10954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 17. Let q(m) be the first derivative of -m**4\/4 + 4*m**3\/3 + 5*m**2\/2 + 11. What is the tens digit of q(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1812 + 1380. Suppose 2*u = -5*c - 2*u + 7980, 0 = -2*c + 4*u + w. Suppose 321 = -5*k + c. What are the prime factors of k?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95, -814, -2779, -6614, -12943, -22390, -35579?\nAnswer: -53134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 17682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5763 or -126777\/22?\nAnswer: -5763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79617 or 6289672\/79?\nAnswer: 6289672\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 - 53. Suppose 13*i - q = 12*i. What is the greatest common factor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - (-52)\/(-16))*200\/30 + -1. Solve -3*b - 4 = 11, n*b = 5*k - 15 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (67\/((-536)\/96))\/((-6)\/(-4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*d = -31*d - 4. Suppose 4*n - 8 = -s, -4*n + 9 = -d*s + 13. Suppose 5*u = -s*t + 89, -5*t - 2*u + 6*u = -60. Solve -4*y = -8*y + t for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-6))\/((-64)\/288).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61679, 61692, 61705, 61718, 61731?\nAnswer: 61744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, p: 4, z: 2, w: 4}. Give prob of picking 1 p and 2 z.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = -q - 78 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*b + 17*b - 5 - 19*b - 79*b + 42*b.\nAnswer: -b - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -203*b**5\/20 + b**3\/3 + 163*b**2\/2 - 224*b - 1. Differentiate q(r) wrt r.\nAnswer: -609*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*u = -37*u - 24 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - a - 5 - 2, -4*k + 5 = -a. Let x(y) = 1 - k*y - 4*y**3 + y + 3*y. Let v be x(-1). Solve 4 = v*h - h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (-40 - (-11 + 6)) - -7?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25 - 605?\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 4:24 PM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1727344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 17*d**2 + 44*d + 41. Let f be z(-14). Solve -4*y = 3 + f, p - 3*y - 15 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 154 + -49. Calculate the greatest common factor of 15 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u + 1. Let t be s(-1). Let d be -5 + 4 + 29*1. Suppose -t*l + d + 2 = 0. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 5 + (25 - 49) + 18.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.042? (a) 2 (b) -2 (c) 2\/597 (d) 489\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -8, 319 = 5*l - 0*o + 4*o. Is 23 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 33 + 39. Suppose f*h = 31 + 29. What is the smallest common multiple of 42 and h?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4206 - 3671. Calculate the highest common factor of 25 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 84 - 76.7. Let b = -0.15 - 0.15. Let n = b + f. What is the smallest value in 5, n, 5\/3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 53*l - 7. Let z(n) = 80*n - 11. Let t(q) = -8*g(q) + 5*z(q). What are the prime factors of t(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.8 - -12. Which is the closest to 4? (a) -2 (b) -0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b - 5. Let u be x(-9). Let s = u + 70. Calculate the common denominator of 77\/8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 1. Let p(q) = -7*q + 12. Let s(l) = 3*l + 3. Let y(h) = h. Let i(u) = -s(u) + 5*y(u). Let n(t) = -9*i(t) - 2*p(t). Determine 5*g(f) + n(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -2786400*q + 2786395*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -476382 divided by -1.\nAnswer: 476382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j. Let v(z) = -7*z**2 - 9. Determine i(v(y)).\nAnswer: 7*y**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 - 48. Suppose s*p = 4*p + 20. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 953?\nAnswer: 57.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0333304558 + 950.4.\nAnswer: 950.3666695442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 161*k + 101 = -158*k - 59 - 23, 5*p - 313 = -3*k for p.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -35*l**3 + 2*l**2 + 2*l. Suppose 4*c - 3 = -3*d - 7, -3*c - d = 3. Let j be u(c). What is the tens digit of (-441)\/(-5) + (-7)\/j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/3312 and -149\/336.\nAnswer: 23184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -138.4 + 5.4. Sort s, 3, -0.2 in descending order.\nAnswer: 3, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -222699, -222286, -221873, -221460?\nAnswer: -221047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 27. Suppose -3*c + 19 = f. Suppose 0 = o - 5*w - 20, w = 5*o - w - 100. Solve -c*i + o = 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 1. Suppose 3*m + z*l + l = 0, m - 4*l = 0. Let i = m + 0. Solve -5*c - 13 = y, 3*y - 3*c = -i*y + 15 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16 + -20)\/((-2)\/(-1)). Calculate the remainder when 620\/10 + (-6)\/m is divided by (-1)\/6 - (-109)\/6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33293 + 291?\nAnswer: 33584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g - 13*g - 113*g**2 + g + 5*g to d*g + f + v*g**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1003002 and 911820?\nAnswer: 10030020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -27 (b) -2\/5 (c) -2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1102\/5 (b) -0.1 (c) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-130)\/2 + -5 + 2. Let z = 69 + d. List the prime factors of (-20)\/(-20)*z*7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (46\/10)\/(75\/500) - 10 and (-2)\/(-1)*(-51)\/22.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.101306 millilitres to litres.\nAnswer: 0.008101306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 11 = -3*m. Suppose -4*r + m = -h, -4*h - 23 + 7 = -2*r. Solve 5\/6*z**5 - 1\/3 - 3\/2*z + r*z**4 - 5\/3*z**2 + 2\/3*z**3 = 0 for z.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12265224 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2\/3 + 530*y\/3 + 8992\/3 = 0 for y.\nAnswer: -16, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 136371787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 728078489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -0.02, 3, -0.5, 0, 1, -8\/53?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -979*s**2 + 970*s**2 - 2*s - 9 - s**3 + 0*s. Give g(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 - 16*x**2 + 4*x**2 + 6*x**2 + 7*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2511 plus 14.4464?\nAnswer: -2496.5536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 2*z + 5. Determine v(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 2\/237 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.11 (b) -2 (c) -0.6 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.1, -0.3, -1\/3, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 - 74. Let f = 4671 - 4693. Is u greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -73217 + 1?\nAnswer: -73216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 2 = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 - 2*i**2 + i - 2. Let p be c(-2). Suppose p = -u + 1. Let f be 10\/(-5)*u\/2. Solve f*k + k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/(450\/(-255))*7978 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9852 + 30959?\nAnswer: 22107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 4*p + 864. Let u = p + -130. Calculate the remainder when u is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 50 = -5*p, 4*p - 2*p - 4*h + 20 = 0. Let s = 14 + p. Find the first derivative of -k + 2*k - s*k - 3 wrt k.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 5*h - 37, -2 - 11 = -5*h - 3*o. Suppose -h*m + 4*m = -7. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5547.508 + -5596. Let b = -48 - t. Round b to 2 decimal places.\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 38*g**2 - 13*g + 21 + 10 - 19*g**2 - 18*g**2. Let h be w(10). Which is smaller: h or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 12222011302?\nAnswer: -12222011231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3148583127785 and -0.3?\nAnswer: 3148583127784.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 - -3374?\nAnswer: 3374.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 599 - 595. Which is the nearest to -0.3? (a) -0.09 (b) -0.4 (c) v (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y. Let a(j) = -10*j. Suppose -k = 4, 5*d - 3*d - 3*k = 14. Let b(l) = d*a(l) - 8*u(l). Let c(o) = -14*o**2. What is c(b(h))?\nAnswer: -56*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*v = -2*h + 18, 4*h = -5*v + 66. Suppose -5*o + v - 1 = -3*k, 5*k = -o + 13. Solve 0 = 4*d - 14 + k for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 24.\nAnswer: -5, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/3839340 and 79\/739545.\nAnswer: 180448980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4204531 (base 6) in base 2?\nAnswer: 110001100111100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -17 (c) 0.07 (d) -25 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53.934 - 0.066. Let g = 53.8 + o. Which is the second smallest value? (a) 0.4 (b) 9 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m = 18*m - 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7079 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8564a - 3?\nAnswer: 85647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1274.1 + 1274. Which is the biggest value? (a) g (b) 0.1 (c) 4 (d) -383\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 9*j**2 + 1. Let g be i(9). Let k be 24 - (0 - 2\/(-4)). Let f = k - 95\/4. Which is the closest to g? (a) -5 (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*2)\/((sqrt(96) - 2*sqrt(96)) + sqrt(96) - sqrt(96)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 256 = 96. Let w = 91 - n. Which is the second biggest value? (a) 0.4 (b) w (c) 0.2 (d) -0.45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.9253.\nAnswer: 0.37012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3868*i - 3868*i + 300*i**4 + (-i**3 + 0*i**3 + 2*i**3)*(-4*i + 3*i + 4*i) to the form k*i**4 + y*i**2 + s + o*i + x*i**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*y - 276 - 180 = 0 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5446*f**2 - 5454*f**2 + 10907*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -636*w**4 - 64*w**3 - w**2 - 16501*w wrt w.\nAnswer: -15264*w - 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 186068815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - p = 23, -13 = 5*f - 6*f - 4*p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4 - 2 = 3*q, q + 13 = 4*m. Let s = 98 - 75. Solve -h = l, -m*h - 1 = -5*l + s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 222933570?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7416 and 26922861.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16, -456, -4?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.3, 0.25, 17, 98, 3 in decreasing order.\nAnswer: 98, 17, 3, 0.3, 0.25, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -180*d**5 + 725*d**4 - 190*d**3 - 1115*d**2 + 40*d + 60 = 0. What is d?\nAnswer: -1, -2\/9, 1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 76 in -3, 0, 3, 0.02?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.9496 to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3739 - 153307\/41. Let v = p - 26\/287. What is the biggest value in 5, v, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-4)\/(-8)*(-2)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*r + 6*r - 6, 5*h = 3*r - 16. Let u be (-4)\/2 + (2 - h). Solve -d + 1 = 2*m, u*m = -3*d - 2*d - 19 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 60 + 59. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13604749 to the nearest integer?\nAnswer: 3688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3 - 2*c**2 + 32*c - 40.\nAnswer: -2*(c - 2)**2*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 441 (c) -0.2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -1\/12*a**4 - 3*a + 0 + 0*a**2 - 1\/30*a**6 + 0*a**5 + 0*a**3. Find the third derivative of u(l) wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10663 + 3?\nAnswer: -10660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (5 + (5 + -6 - 1))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1201307010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kv when two letters picked without replacement from {v: 1, k: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxzjjzxezxxxsxzejz. What is prob of sequence eejs?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3381972691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22542 divided by 6.\nAnswer: -3757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**4\/6 + 8*p**3\/3 + 15*p**2\/2 + 96*p. What are the prime factors of q(-13)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k**3 - 681*k**2 - 343*k + 246. Give x(114).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 6 - 1 + 2*n + 0*n + 3. Let x be y(-4). Solve 1 + 15 = x*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*h = 5*h - 138, 0 = -3*z - h - 91. Let m be 2\/6 + z\/42. What is the second biggest value in 5, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 + -49.128. Let s = z + 0.028. Is s greater than or equal to -8\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -7*w**4 - 16*w - 182. Let l(k) = k**3 + 1. Calculate 16*l(g) + y(g).\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {f: 6, m: 6, h: 1, t: 1, g: 5}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-57)\/(-105) + (-2)\/5. Let c be 6\/5 + 6\/(-30). Which is bigger: c or h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155.7 less than -3.549854621?\nAnswer: 152.150145379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.289? (a) -10 (b) -5 (c) -4\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -99*m**2 - 100 - m - 191*m**2 - 97 + 183 + 2*m**3 to s*m + x + a*m**3 + d*m**2 and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51120715\/1304 - -39203. Let g = l - 43639\/19560. Find the common denominator of g and 31\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + r - 7 = -2*r, 3*r - 13 = -5*i. Let q be 6\/11*4 - i. Which is bigger: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 2\/5*s**5 + 0 + 1\/15*s**6 + 4\/3*s**3 + s**2 - 5*s + s**4. Factor j(a).\nAnswer: 2*(a + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 86, 79, 60, 23, -38?\n\"Answer: -r**3 + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -126 (b) 1\/4 (c) -5 (d) 0.3 (e) -732\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 7*v**2 + 3 - v - v**2 - 4. Is q(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 + 54*d**2 - 4*d - 169. Is l(15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50064 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 8. Suppose 4*g + 9 = -15. Let n be m(g). Suppose 0 = f - 3, -u + 4*f = 8 - n. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -119043 by 17.\nAnswer: -119043\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 165060055 to the power of 1\/3, to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 453948 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d - 11. Let k be h(4). Let o = k - -7. Let y(i) = i**3 + 90. Is 20 a factor of y(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213642*0.192.\nAnswer: 41019.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 11*x - 13. Let r be v(-10). Suppose -7*s + 3*s = -5*k + 28, -2*k + 3*s = -14. Put r, 5, k in ascending order.\nAnswer: r, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**6\/90 + m**5\/10 + 2*m**4\/3 - 32*m**3\/3 - 87. Let b(n) be the third derivative of p(n). Determine z, given that b(z) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*t + 74*t + 4 = 2*l, -4*t + 5*l + 2 = 0. Put 3, t, -24, -3 in increasing order.\nAnswer: -24, -3, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y. Let c(r) = -5*r. Let w(m) = 3*c(m) - 7*s(m). Let q(u) be the second derivative of -u**3\/3 - 13*u**2 + 35132*u. What is q(w(f))?\nAnswer: 2*f - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2702*m**3 + 570*m wrt m.\nAnswer: -16212*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 34*i - 107. Let h be w(4). Suppose -3*b - 2*a + 178 = -b, -3*a = -4*b + 342. What is the greatest common divisor of h and b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141939713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + (-23 - 25 - (0 - 23) - (-12 + 1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-15))\/(((-2)\/(-4))\/(240\/(-192))).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 4*z**2 - 7*z. Let l be v(3). Suppose l = 3*y + h - 74, 2*y - 81 = 3*h. Calculate the remainder when 115 is divided by y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -100 - -94. Let j be (-2)\/5*(1 + p). Let c(y) = -y**j - 2*y**2 + 2*y**2. Let d(h) = -h**2. Determine d(c(q)).\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4624875*a**3 - 3530175*a**2.\nAnswer: 27749250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1341 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - d = -2, -2*m + 7*m + 8 = 4*d. Suppose 0 = -m*c + c - 39. Let h = 678 + -664. What is the remainder when c is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-2\/21)*z*z)*z*z**(8\/5)*z)\/(z**(3\/11)*z*z\/(z*z**(-27)*z*z*z)) assuming z is positive.\nAnswer: z**(-26077\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27641405 is divided by 166.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-two thirds of a year?\nAnswer: 208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-824)\/12)*1254\/(-1672)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -332, -327, -322, -317, -312?\n\"Answer: 5*r - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -f + 6 + 5, 2*f + s = 31. Suppose f = w - 4*w. Let l be 0 + (0 - (-3 - -2)). Sort l, w, 5 in increasing order.\nAnswer: w, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-54))\/(4\/(-9)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -129*n**3 - 29*n**2 + 7. Let i(r) = -397*r**3 - 82*r**2 + 20. Determine -6*i(w) + 17*o(w).\nAnswer: 189*w**3 - w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = r - 11652, 4*n = -11*r + 7*r + 9312. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174814669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 2*q + 1 = -13, 0 = -2*l - 5*q - 11 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*w - 28 = -w, 0 = 4*z + 5*w - 27. Suppose -z*c + 4*c = 124. Let q = 36 + c. Solve 30 = 5*o + q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69578024?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55.8599 + -55.14. Let c = -0.68 + w. Round c to three decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -7*k**2 + 63*k - 6. Let g(w) = 3*w**2 - 32*w + 3. Let i(x) = -5*g(x) - 2*z(x). What is the hundreds digit of i(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 + 2700 + 13*y + 3*y**2 + y**4 - 2*y**3 - 2699 to the form i*y + n*y**3 + h + w*y**2 + d*y**4 and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -h - 400, h = 4*h. Let v = 120 - n. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*10 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**8)**(-9)*(l*l**(1\/6))**(-3\/16) assuming l is positive.\nAnswer: l**(2009\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (184*(-140)\/3220)\/((-6)\/14*(-20)\/6)\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 - -12. Let s be 13 - (-115)\/7 - 4\/(-7). Let q = s + p. Solve q = 3*f - 9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1606 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d = 13. Suppose -3*o = -y - 813 + 746, -o + 17 = -3*y. Calculate the remainder when o is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 1314*b - 3. Let k(s) = -647*s + 2. What is -5*k(x) - 3*y(x)?\nAnswer: -707*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1781033+122.3\nAnswer: -1780910.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/4*(-11 + -5 + 4). Suppose -h*r + 3*d = -4*r + 142, -4*r - 5*d = -575. List the prime factors of r.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325)*-1 + sqrt(325))**2 - (-1 + sqrt(78)\/sqrt(6))) + 5.\nAnswer: -sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, e: 2, z: 3}. What is prob of sequence zzzj?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -989 >= -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25 - -32 - ((-2)\/(-1) + 4). Solve -p = 10*k - 41 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -5.5. Let s = -1.9145 - -1.414. Let n = s + w. Round n to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + -0.4. Suppose 7*q + 20 = 3*q. Sort 4\/5, t, q in ascending order.\nAnswer: q, t, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 38300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - j**3 + 2 + j**2 + 3*j**3 - j**2 - 77*j**3 + 24*j**3 - 63*j**3 + (0*j**2 - 2*j**2 + j**2)*(0*j + 0*j + j) as w*j**2 + a*j**3 + v + x*j and give a.\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 17. Let g be t(17). Differentiate 2*f - 8*f + g + 4 + 1 wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 8:05 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/2557632 and -53\/14?\nAnswer: 2557632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5119 or 5117?\nAnswer: 5119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109922*r**3 + 198263*r.\nAnswer: 659532*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68608.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2126 - -2138. Calculate the remainder when 815 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1)\/(-1 - (-1 + -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -13. Calculate the lowest common multiple of v and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 525 - 490 = 7*h. Let 12\/5*p**4 + 0*p**2 + 0 + 0*p + 0*p**3 - 3\/5*p**h = 0. Calculate p.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 0.65.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 22 = -3*q, 69 = 5*g + 2*q - 126. Suppose g*m - 858 = -229. What is the least common multiple of 119 and m?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**3 + 3*a**2 - 17*a - 3. Suppose -3*p + 28 - 10 = 0. Let x be b(p). Suppose 2*s - 5*s + x = 0. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 2. Let k be ((-33)\/(-6))\/((-1)\/(-2)). Suppose i = 5*y - 29 - k. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skowswsfss. What is prob of sequence kf?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/7)*m**(-6))\/(((m\/m**(2\/3)*m)\/m)\/m**(-4\/9)) assuming m is positive.\nAnswer: m**(-418\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3 = 0, 8*g = -4*q + 3*g + 2691. Is 24 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5*k + 27 = -9*k, -7*a - 32*a + 313 = -k + 21*k for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -434\/5 - -1322\/15. Let x(f) be the first derivative of 6*f**2 + 8*f + j*f**3 - 16. Factor x(p).\nAnswer: 4*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4785454351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -219 + -892. Let b = 6661 + p. Round b to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p + 1. Let l = -11 + 15. Let f(o) = 2*o - 63. Let m be f(36). Let y(z) = 7*z + z + m*z - 16*z. Calculate l*y(r) + 2*j(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3129 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 39. Let f be j(0). Suppose 11*r + 17 - f = 0. Calculate the smallest common multiple of 21 and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**3 + 1608230*k**2 + 129328227420*k + 1293121456200 = 0. What is k?\nAnswer: -160818, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 * -417932\nAnswer: 961243.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (5 - 4)) + 0 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -542?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -411 = -4*i - 3*t, 5*i - 3*t = -2*t + 490. Suppose 5*n - 129 = -4*h, 0*h = 5*n + h - 126. Calculate the remainder when i is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (4 - (0 - -1))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 5*p**2 - 2*p - 9. Let s be g(-4). Suppose -16 = 11*w - s*w. Suppose -3*t = -w - 8. Solve 0 = d - t + 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -484*r + 448694 = -23282310. List the prime factors of r.\nAnswer: 49031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*g + 24 = 29*g. What is the second derivative of -x - 3*x**3 - 7*x**2 - 6 - 46*x**g + 43*x**4 + 3*x**3 wrt x?\nAnswer: -36*x**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2676911 - 21105885. Let o = -11082796 - w. Round o to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2612305?\nAnswer: 5, 17, 73, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4294, -4704, -5114, -5524, -5934?\n\"Answer: -410*x - 3884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/k*k*k**(-5))**(-20) assuming k is positive.\nAnswer: k**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50\/(-126) + (-2)\/(-7). Let y = -80 + 99. Let l = y + -19.1. Which is the biggest value? (a) z (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38138 is divided by 163.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-77)\/396 + 2\/(-9). Let w = r + 1\/4. Which is the fourth biggest value? (a) w (b) 0 (c) 4\/3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/((y*y*y**(-25))\/y)*y*y*y**(-11\/2)*y assuming y is positive.\nAnswer: y**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z - 134. Let d(c) = -3*c - 105. Let h(j) = -4*d(j) + 3*v(j). What is h(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (13 - (-7 + 7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u - 22. Let k be i(7). Let g be (k\/1)\/((-3)\/12). Solve 0*b + 8 = g*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 182284435?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -3*r**5\/10 + 5*r**4\/12 - r + 2. Let j(k) be the first derivative of d(k). What is the third derivative of j(o) wrt o?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from vklksaxs.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.82 + -462.18. Let h = 468.6 + f. Is 1\/4 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*g**4 - 126*g**2 + 126*g**2)*(0 + 4 - 2)*(0 + 3 - 1).\nAnswer: 92*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2660 + 2?\nAnswer: 2662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**0*s)**35)**48\/((s\/s**(2\/3))\/(s\/((s*s**3*s)\/s)))**(-6\/5) assuming s is positive.\nAnswer: s**3364","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 175*w**2 - 14*w + 102. Let v(r) = -58*r**2 + 5*r - 34. Let j(x) = 6*o(x) + 17*v(x). Find the second derivative of j(q) wrt q.\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**4 - 3*t**4 - t**4)*(3*t + t - t) + 0 - 2*t**5 + 0 + 78*t - 75*t - 11*t**5 - 7*t**5.\nAnswer: -32*t**5 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -972, -1947, -2914, -3867, -4800, -5707?\n\"Answer: i**3 - 2*i**2 - 976*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 64 = -9*n. Let x(g) = -13*g + 33. Let m be x(-11). What is the greatest common factor of m and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8112 (base 10) to base 4.\nAnswer: -1332300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-320)\/(-5952))\/(30\/12)\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypdh when four letters picked without replacement from hpppdpyhpydypyhpp.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -68*h**2. Let q(p) be the third derivative of -p**5\/30 - p**4\/6 + 4562*p**2. What is q(c(y))?\nAnswer: -9248*y**4 + 272*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -213, -207, -199, -189?\n\"Answer: g**2 + 3*g - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 133 - 30. Let h = t + -95. Solve -2 = 2*s + h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201a775 (base 11) to base 13.\nAnswer: 980b15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**4 - 3*x + 3*x + (-2*x - 3*x + 3*x)*(63*x + 28*x**3 - 63*x).\nAnswer: -60*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*u + 9\/8*u**3 + 3\/8*u**4 + 3\/4*u**2.\nAnswer: 3*u**2*(u + 1)*(u + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/21)\/(-5 - 222\/(-42)). Does 20 divide (10 - -192) + (-2 - (4 + i))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 8, 11, 19 in decreasing order.\nAnswer: 19, 11, 8, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 176 (b) -0.1 (c) -939.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 12:14 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**33))**(-1\/7)*g**(-7)*(g*g\/(g*g\/((g*((g*g**(1\/77)*g)\/g)\/g*g)\/g)))\/g assuming g is positive.\nAnswer: g**(-901\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 + 5577*n**2 + 66492*n.\nAnswer: 3*n*(n + 12)*(n + 1847)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 12*y - 1962 = 0. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -370620 by 3195.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.106 and -38.\nAnswer: 4.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*h + 23*h. Suppose -w + 44 = -h*w. What is the highest common factor of 4 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113*j + 13*j**3 + j + 2*j**3 + j**3 to s*j + r + x*j**3 + q*j**2 and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7885 - -3.7885. Which is the closest to 2066? (a) -0.1 (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6654883 is divided by 554571?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 13. Let h be i(-8). Let w(z) = -7*z + 58. Let k be w(9). Put k, h, -2 in decreasing order.\nAnswer: h, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01155 rounded to 4 decimal places?\nAnswer: -0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjd when three letters picked without replacement from bdbpj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5839 - 7359*z**2 + 5841 - 11680 as x + h*z + s*z**2 and give s.\nAnswer: -7359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/((-5313)\/(-12)) - 6\/(-21)*4.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1041686579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-628)\/5 + (0 - 4\/10). Round b to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13271751?\nAnswer: 3, 31, 47569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 3. Let k be 5\/2*16\/v. Suppose -k*u = 6 - 0. Put u, 1, 0 in increasing order.\nAnswer: u, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 507316 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 109*s**2 - 124*s - 10810. What is w(111)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**4\/48 + 7*v**3\/8 - 5*v**2\/2 - 3*v + 9. Find b, given that t(b) = 0.\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 7*u**2 + 13*u + 13. Suppose -5*y - 1 = 4*k + 18, -17 = 4*y + 5*k. Let z(w) = 8*w**2 + 12*w + 12. Let m(i) = y*z(i) + 4*p(i). Factor m(d).\nAnswer: 4*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15561 = 435*f + 36876 for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 8) in base 9?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 126 divided by 5\nAnswer: 126\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -266 (base 11) to base 4\nAnswer: -10322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14.85 and -64761.\nAnswer: -64746.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 17*a**3 + 8*a**3 + 2.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1871305903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-22)\/4 + 156\/26. Let p be ((-3)\/30)\/((-1)\/4). What is the nearest to -0.2 in z, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 + 2 = -19*s. Calculate the greatest common divisor of 27 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2418 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3)\/((-29380)\/(-904)*4\/30).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5735174, 11470351, 17205528, 22940705, 28675882?\n\"Answer: 5735177*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, -1, 1, -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d - 138. Let l be x(-21). Let y = l - -101. Solve -y*c + 42 = 52 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 + 156 + -103 - (32 - -1).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 720?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = 55*h - 18519400. What is h rounded to the nearest ten thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mkfk when four letters picked without replacement from fkkkm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 9*h + 14 = 0 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -17 (b) 15137 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -677 (b) -0.111 (c) 0.4 (d) -2\/9 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -v + 5*i - 32, -i = 5*v + 76. Suppose 5*w = 3*g + 940, 2*w + 166 = 3*w - 5*g. Let p = v + w. What are the prime factors of p?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14216, 56510, 127032, 225788, 352784, 508026, 691520?\n\"Answer: v**3 + 14108*v**2 - 37*v + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 15. Let y = -15.0018 - c. What is y rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302561?\nAnswer: 7, 43223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2766650 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -2*x**2 - 1. Let f(k) = k. Calculate c(r) + 2*f(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1120200131 (base 5) to base 14\nAnswer: 49352b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -972, -0.3, -871\/7?\nAnswer: -972","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 204, 210, 212, 210, 204, 194, 180?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 69785513 + 39489595. Let g = -18488777 - z. Round g to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.5 + -9. Let h = 18.7 - 18. Let n = 0.4 - h. Which is the closest to -0.1? (a) d (b) 3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + (-1 + 4*(2 + (sqrt(700) + (sqrt(700) - (sqrt(700) + 0)) + 3)*-4))**2.\nAnswer: 13120*sqrt(7) + 180879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -10*g + 1. Let d(f) = 11*f - 1. Let w(b) = -5*d(b) - 6*p(b). Let i be w(3). Suppose -i*k + 360 = -4. What is the lowest common multiple of 4 and k?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 118*j**2 + 1618*j - 16422.\nAnswer: -2*(j - 69)*(j - 7)*(j + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 6*s - 9. Let y be u(15). What is the highest common factor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.1 - -16.1. Let s = 19203 - 19189.9984. Let k = s - g. Round k to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -50, -14, 20, 52?\n\"Answer: -d**2 + 39*d - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 10\/129?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 0 + 3*r - 2 - 2 + 1. Let c(j) = -1. Determine 3*c(b) - k(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 16*k**2 + 30*k - 483. Calculate s(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 548, 2164, 4858, 8630?\nAnswer: 13480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1029560, -1029694, -1029824, -1029950, -1030072, -1030190?\n\"Answer: 2*g**2 - 140*g - 1029422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 10.000135. What is w rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -58027 times 1769\nAnswer: -102649763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 64*t - 571. Determine w(-72).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7 - (-7 + 6 + 6). Let b be 40*7\/42 - x\/(-6). Let j be -3*(-34)\/3 - -1. Calculate the greatest common factor of j and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 8*m**2 + 8*m + 8. What is i(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2771084 (base 9) to base 6\nAnswer: -52350421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*a = -73*a + 54. Let d(s) = -2*s**3 - 21*s**2 - 32*s - 5. What is the remainder when d(a) is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y. Let c(h) = h**2 + 9*h + 229. Determine c(s(f)).\nAnswer: 4*f**2 + 18*f + 229","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -6517 and -6504 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/7 (b) -5 (c) -22 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4 + sqrt(13) + sqrt(208) + -3))**2 + (-1*(sqrt(1053)*-2*-1 + sqrt(1053)))**2.\nAnswer: 10*sqrt(13) + 9803","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.485539946 to five dps.\nAnswer: -0.48554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11220021213 (base 4) in base 6?\nAnswer: 51341303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -209814344 divided by -2\nAnswer: 104907172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.7 - 7. Let m = 144 - 1004\/7. What is the closest to 1 in m, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**4 - 2*n**2 + 22*n + 15*n - 39*n - 30*n**3 + n**2 - n**2 as r + g*n**4 + j*n**2 + i*n**3 + a*n and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 5*a. Suppose 0 = -7*i + 10*i - 3. Let d be 7*1 - 4\/i. Suppose -r - 20 = 5*w, -d*w - 5*r = -5*w - 35. Give z(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/76 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**4 - 3 + 3 + (-2*l**2 + 1 - 1)*(3*l - l**2 - 3*l))*(-8 + 1 - 1).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -974.15106 and 0.1?\nAnswer: 974.25106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 214, 0.514, -4.5, -3?\nAnswer: 0.514","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 5*n - 2*n)*(150*n + 49*n + 7*n) - 3*n**2 + 0 + 0 - 2*n**2 - 3 + 3 as u*n**2 + y*n + t and give u.\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*h + 7*h + 2*h + 5*h - 26*h.\nAnswer: -44*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4 = 0, 2*d = -0*b - b + 52. Suppose d + 21 = -3*k. Let o(u) = -2*u**2 - 34*u + 1. Calculate the lowest common multiple of 33 and o(k).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2627100 to the nearest 10000.\nAnswer: 2630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -63*z**2 + 477. Let u(j) = j**2. Calculate q(u(m)).\nAnswer: -63*m**4 + 477","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1149 + 51*n**2 + 85 + 12.\nAnswer: 51*n**2 - 1052","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 618 - 3078. Let f = i + 205. Which is bigger: f or 1\/41?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3691\/45 - -409\/5. Which is the closest to z? (a) 3\/5 (b) -4 (c) 197\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**3 + 2*q**2 - 65*q**3 - 76*q**3 - 3*q**2.\nAnswer: -130*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23561 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 83 = -4*c, 4*c + 2*o + 65 = -3*o. Let n be 12\/c*8\/(-6). What is the second biggest value in -4, n, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2243780 and 279.\nAnswer: 20194020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/(-21) + 22\/6. Solve 2*n - 13 = 4*k + p*n, -16 = 5*k + n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.059595607 to four decimal places.\nAnswer: 0.0596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 + 18*h**2 + 23*h - 172. What is the remainder when 70 is divided by x(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/2)\/((-5)\/(-10)). Let s(p) = -p**3 + 5*p**2 - p - 3. Let h be s(z). Let c be 0*(-2)\/(-4) - -1. Calculate the greatest common factor of h and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/36)\/((-9)\/24). What is the second smallest value in y, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 551?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10342 - -48517. What is the thousands digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2025 - 2029) + 12 + 6\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 109*h**2 + 11 + 11 + 15)*(-46*h**2 - 99*h**2 + 42*h**2).\nAnswer: -11227*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k*o*r*x + 9*k*o*r + 7*k*o*x + 9*o*r*x - 11*o - 2*r wrt r?\nAnswer: 2*k*o*x + 9*k*o + 9*o*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 7*h**2 + 16*h - 6. Is k(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/2 - 0 - (-3971)\/(-722)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 4836*i**3 + 2395*i**3 + 2853*i**3 in the form j*i + k*i**2 + b*i**3 + y and give b.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 21 + 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**8\/56 - 373*y**6\/5 + 1559*y**4\/12 - 5*y + 7. What is the third derivative of x(c) wrt c?\nAnswer: 120*c**3 - 53712*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 7:05 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(3 - (0 + 2)). Let n be (6 - t) + (-2 - -1). Suppose -2*r = -3*r + 3*d + 4, n*d = 0. Calculate the greatest common factor of 32 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 - -121175.\nAnswer: 121162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (7 - 8) - (-1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 19*b. Let i(w) be the second derivative of 67*w**3\/2 - 4853*w. Calculate h(i(t)).\nAnswer: 3819*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014233 rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*p + 36 = 0, 4*g + g + 4*p = 0. Suppose 3*j - g*r = -3*r, 2*r = -2*j. What is the second derivative of -i - 2*i**2 + 0 + j wrt i?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8770 + -8767. Let u = 0 + -4. Sort 28, n, u.\nAnswer: u, n, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + 0 - (154 - 187)) + (-15 - -11).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 36. Calculate the smallest common multiple of 9 and p(-15).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1 - 7*s + s**2 - 4*s + 3. Let t be g(11). Let y(c) = 2*c - 3. Let x be y(4). Solve -2*k + x*o = 3*o + 6, o = t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-20))\/((-64)\/512)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -10 - (-30 - (2 - 20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1971446 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 247448.8 rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(-6)\/8*4. Let w(i) = i**3 - 8*i**2 - 7*i - 6. Let z be w(c). Calculate the highest common factor of 60 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18533?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**3 + 3*f**2 + f - 3. Let u(o) = 424*o**2 + o**3 - 852*o**2 + 1 + 427*o**2. Calculate -3*u(p) - y(p).\nAnswer: 2*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -7*c + 2 + 4*c - c. Let r be n(19). What is the remainder when (-6 - (-4 - -1))\/(3\/r) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -3 - 30*n - 2*n**2 + 32*n + 3*n**2. Determine p(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**2\/2 + 720*p + 102627\/2.\nAnswer: -3*(p - 543)*(p + 63)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = b - 3, -18*b - 2 = d - 17*b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 1. Let n be u(4). Suppose -3*h - 18*w = -20*w - 498, h - 5*w = 205. What is the greatest common divisor of h and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 464 and 11368464.\nAnswer: 11368464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/9*s**4 - 2\/3*s + 44\/9*s**2 + 8\/9*s**3 - 2\/9*s**5 - 4 = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = 5*y - 81, -10*w + 34 = -4*y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2345, 4504, 6667, 8840, 11029, 13240, 15479, 17752?\nAnswer: 20065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -121, 5, -4, 1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48247.68 years to months.\nAnswer: 578972.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 193951, 193950, 193949, 193948?\nAnswer: 193947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24791120 and 719?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, n: 2, z: 3}. Give prob of picking 1 z, 1 t, and 1 n.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggkg. Give prob of picking 4 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 48\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r. Suppose 16 = p + p - 3*s, 24 = 4*p - 4*s. Let j(q) be the first derivative of 0*q**p + 2 - 1\/3*q**3 + 0*q. What is j(u(k))?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 12) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 11, a: 4, u: 3}. What is prob of sequence uaqu?\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001535 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19441 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 428 a factor of 317576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n + 3*t = -13, 4*t - 12 = 0. Suppose 3*w - 4*u - 18 = 0, -3*u - n - 19 = -5*w. Solve -x - x + w = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 590*x + 5973 - 29712 = -26*x + 15069 for x.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/3780 and 209\/241920.\nAnswer: 241920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2.9, -4\/7, -5, -11, -3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-32)\/(-8) + -3 + (4 - -2). Suppose -3*g - 500 = -h, 0 = -3*g + 19 - j. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147152440?\nAnswer: 2, 5, 3678811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60372, -120708, -181008, -241266, -301476, -361632, -421728, -481758?\nAnswer: -541716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14007848 a multiple of 743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22224*c**2*g**3 + c**2*g**2 - 337*c**2 - 17*g**4 - g**3 + 406*g wrt g?\nAnswer: -133344*c**2 - 408*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 302887819 to the power of 1\/3, to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*x - 2*z, -4*x + 36*z = 35*z + 4. Suppose -14 = 4*p + 3*r + 18, 0 = -4*p + 5*r. Put x, 3, p in decreasing order.\nAnswer: 3, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**3 - 30*z**2 - 209*z - 180 = 0.\nAnswer: -20, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1200 divided by 6?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 8 = -5*d, 5*d + 5*v - 20 + 5 = 0. What is the smallest common multiple of 1 + d - 2*(-17)\/2 and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 5*r - r + (4 + 0 - 2)*(5*r - 10*r - r))*(10 + 1 + 12).\nAnswer: -253*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1232 + 0.5.\nAnswer: 0.6232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d + 20\/3*d**2 - 4\/3*d**4 - 4*d**5 - 16\/3 + 20*d**3 = 0. Calculate d.\nAnswer: -2, -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1660*q - 1692*q + 576 = 0. What is the highest common factor of 1269 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86120939.\nAnswer: 19, 89, 50929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/697 and -45\/315454.\nAnswer: 5362718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 + -4*3\/(-12) and 13.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59140000 rounded to the nearest one million?\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8543054 divided by -4271527?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from tjdedddwejjd.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from {i: 2, n: 8, z: 8}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 11:29 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*b**2 - 55*b**2 + 859*b**2 + 850*b**2.\nAnswer: 1574*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40679?\nAnswer: 19, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4 - 32*s**3 + 124*s**2 + 224*s - 1470 = 0. Calculate s.\nAnswer: -3, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from {o: 1, h: 9, u: 1}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 8*g - 8. Let s be c(9). Let z = -9 - s. Let y = z - 2. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)\/(-3*sqrt(7)))\/((sqrt(42) - (4*sqrt(42) - sqrt(42)))\/sqrt(6))*-4.\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s + 0*s - 4*s)*((5 - 5 - s)*(1 - 2 + 2) - 14 + 14 + 21*s).\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 5, 1, 4 in descending order.\nAnswer: 12, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4990668*b**2 - 8804573.\nAnswer: -9981336*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6807 + 2.6807. Let h(n) = -12*n - 4. Let d be h(-7). Which is smaller: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6272)\/294 + (-11 - -37)\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 8*u**2 + 10*u - 7. Let b be m(9). Suppose 5*x = p + 10, -3*x = -p + 5*p - 29. What is j in -2*j - b*j**x - j**3 + 0*j + 5*j**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.048 (b) -2\/5 (c) -138 (d) -64 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1078533020590 - -104?\nAnswer: -1078533020486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(5\/7)*o**(-21)*(o**(6\/13))**(-1\/38) assuming o is positive.\nAnswer: o**(-35095\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s. Let v(i) = 30*i + 2. Give v(b) - 3*z(b).\nAnswer: 27*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 292 in 1, -2, 0.3, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 - -115. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -11*o + 6*o - 4, -5*o = 4*q - 17. Let m = 1.6 + -2.4. Put q, m, 0.3 in ascending order.\nAnswer: m, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*s - 10884 = -52*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 182108 - 2262327683\/12423. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -297 - -297.3. Which is the smallest value? (a) q (b) 56 (c) 0.1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 801 or 805?\nAnswer: 805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1193*c + 2. Let w be o(0). Suppose g = -3*i + 2*i + 5, -i = -3. Let u be (1 - 0) + g\/2. Solve -3*r - u = -l, -r + 1 + w = -4*l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 11*n. Suppose -x = -3*x + b + 13, x - 5*b = 20. Suppose 3*o + x*y = 29, -5*y = o - 27 + 4. Let t(l) = 3*l - o*l - l + 4*l. Give t(r(d)).\nAnswer: 33*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*w + 1005 = 2*n, -327 = -n - 5*w. Suppose 0 = 9*z - 329 - n. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2615*i + 48 = -2609*i. Let w be -7 + 6 - (i + -11). Solve w*f + 16 = -2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*v + 1197 = 9*q + 75*v, -3*v = -18. Solve -4*w - 23*w - q = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-43 - -44) + 2 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15038 and 487275?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*j + 0*j**2 - 500*j**3 + 113 + 97 + 523*j**3 + 0*j**2 wrt j?\nAnswer: 69*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -9 - 4 - (-3 + (-1 - 4))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 147 and 140 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5636, -22541, -50716, -90161, -140876?\nAnswer: -202861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -36309430, -36309434, -36309438, -36309442, -36309446, -36309450?\n\"Answer: -4*a - 36309426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*g - 20, -s + 8 = -2*g + 5*g. Solve -5*u + 10 = 5*k - 0, 2*u + 31 = s*k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 410 = 2*z. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29 - -21. Let h be -4*4\/d - -22. List the prime factors of ((-28)\/12)\/((-1)\/h).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 811176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 480 (c) -1 (d) 2 (e) 0 (f) -1.87\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*r - 4*d, 2*r + 0*d = 5*d. Let z = 9.8 - 7. Let w = z - -0.2. Which is the biggest value? (a) 1 (b) w (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000010100111 - 1?\nAnswer: 1101000010100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 2*g**2 + 5*g**2 + 4*g - 6. Suppose -12*w + 227 = -32*w + 107. Let d(n) = 3*n**2 + 3*n - 5. Suppose c - 10 = -c. Determine c*o(m) + w*d(m).\nAnswer: 2*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -0.689 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -10*j. Let s(q) be the second derivative of 0 + 14*q + 1\/6*q**3 + 0*q**2. Determine 6*s(a) + u(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**2 - 388*q + 386 = 0.\nAnswer: 1, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -8. Suppose 0 = -u*n - 2*n - 10. Sort 3, 5, n in decreasing order.\nAnswer: 5, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28 and -177391.\nAnswer: 4966948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 4*p + 124 = 0, 2*z - 49 = -19*p + 24*p + 20 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-2)*(-106)\/636\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 31. Let k = s - -19. Solve 0*r = -r - k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17624313 (base 9) in base 12?\nAnswer: -2b7b263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 588 + -588.1. Which is the nearest to -2\/5? (a) -5 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1 (b) -3\/7 (c) -2\/5 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-2)*(-10)\/(-5). Suppose 0 = 2*c + 7*r - v*r - 28, 5*c - r - 70 = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/10 in 3, 4, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*j - 5*j + 56*j)*(1 + 0 + 1) - 7*j - 9*j - 10*j.\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -10*p - 11 - 16*p + 7*p**2 - 4 + 0 - 4*p**2. What are the prime factors of n(-10)?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 8 = -4*k, 14*k + 5*b + 5 = 16*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2070*j**3 - 1519*j**3 + 3245*j**3 + 975*j**3.\nAnswer: 4771*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*q + 25. Suppose -3*b = q*n + 14, -2*n + 0 = 4*b + 14. Let w be (0 - 1\/(-7))*3. Is n greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 16*a**3 - 9*a**2 + 15*a - 11. Let q(o) = 7*o**3 - 4*o**2 + 7*o - 5. Calculate -3*c(m) + 7*q(m).\nAnswer: m**3 - m**2 + 4*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*l = -19*l + 12*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 13, -3, -14, 5 in increasing order.\nAnswer: -14, -3, 3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 114491.\nAnswer: 915928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8849 divided by -6351.\nAnswer: -8849\/6351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, 0, -44, -1260 in ascending order.\nAnswer: -1260, -96, -44, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppptdnwn. What is prob of picking 2 n and 1 t?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34213783*p**2 - 8141859*p?\nAnswer: -68427566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6*m**2 - 27*m - 10. Let x(o) = 3*o**2 + 13*o + 5. What is -6*a(w) - 13*x(w)?\nAnswer: -3*w**2 - 7*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 9*i + 4. Let k(l) = l**2 - 11*l - 7. Let n be k(12). Suppose -v = -0*v - z + n, v = -4*z + 20. Suppose v = -4*b - 18 - 22. Determine w(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30962 is divided by 135?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7090 is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 866*g - 183164. Determine b(-499).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1512 and 2688.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 127058, 254103, 381124, 508109, 635046, 761923, 888728?\n\"Answer: -2*i**3 + 127059*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*s**2 + 27*s - 24*s + 45*s + 5 - 5.\nAnswer: -76*s**2 + 48*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10, 9, 58, 217, 546, 1105?\n\"Answer: 10*g**3 - 35*g**2 + 34*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 + q**3 + q**3 + (3*q**3 - 3*q**3 + 4*q**3)*(-2 + 1 + 3).\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*q - 10, 5*q - 21 = -4*r + 24. Suppose w + 12 = 3*w. Solve -w = 3*g + 2*o, -g = 2*g - q*o - 15 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 3. Let g(o) = -3*o + 9. Let n be (-1640)\/656 + (1\/(-2) - 0). What is n*g(y) + 8*p(y)?\nAnswer: y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 41*h - 8. Let f(t) = 14*t - 3. Determine 11*f(w) - 4*u(w).\nAnswer: -10*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/6*(31 + -1). Let g(b) = 15 - l - b. Let r(k) = k**3 - 2*k - 2. Let o be r(-1). What is g(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-1\/5)*r*r**(-11)\/r assuming r is positive.\nAnswer: r**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1891730 rounded to the nearest 10000?\nAnswer: 1890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 3534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 195633081 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 61816*j**5*y**3 + 2*j**3*y**3 + 25*j**2*y**3 - 5*j**2*y**2 - 18*j**2 - 2*j*y**3 - 3 wrt j?\nAnswer: 3708960*j**2*y**3 + 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(39)\/sqrt(3) + (sqrt(325) - (0 + sqrt(325)))**2.\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(80))**2*-3.\nAnswer: -288 + 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79070857 - 234.5.\nAnswer: 79070622.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(612))**2 + 0.\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-7))\/(f\/f**(-2\/15)*f))**(2\/23)*((f*f**0)**33)**(9\/2) assuming f is positive.\nAnswer: f**(101977\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 130 + 3?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1026220204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 1743*w**2 + 710*w**2.\nAnswer: 2453*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -93*f**2 - 890*f**2 + 232*f - 232*f. Let n(o) = -o. Give b(n(c)).\nAnswer: -983*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5 = 4*a. Let y(x) = 3*x - 4*x**3 + 1 + 4*x**2 - 2*x**3 + 3*x - 4*x. What is the remainder when y(-1) is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.06, 0.9, 4\/9, 0.3, 1.12?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38 + -6733?\nAnswer: -6695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -195.7 - -196. Let j be 2\/(-4) + (-14)\/(-12). What is the third smallest value in j, p, -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-6)*(-4)\/(-6))\/(786\/(-11397)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s - 14678 + 13670 = 0 for s.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*d - 261 = 71*d for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*b - 15 = -76*b. Let v(u) be the third derivative of 0*u**4 + 1\/30*u**5 + 0 + 1\/2*u**3 + b*u**2 + 0*u. Find the first derivative of v(z) wrt z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**5)**(-30))**23 assuming a is positive.\nAnswer: a**(-3450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(15\/3) + 136. Suppose x = 3*d + 3*y, -3*y = -5*d - 2*y + 243. Is ((-2)\/(4\/(-9)))\/(6\/d) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*j + 39 = 5*x, 0 = -2*x + 5*j + 63. Calculate the remainder when 45 is divided by x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1294 or 50422\/39?\nAnswer: 50422\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21 + -2 - (1 - 3). Let q be -48*k\/9*-1. Calculate the greatest common factor of q and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1180\/60 - 19)*6\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -298*u**2 + 10*u + 10. Let c(p) = -149*p**2 + 4*p + 4. Give 5*c(g) - 2*y(g).\nAnswer: -149*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 80211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 24 = 6. Let s(y) = -3251*y**2 + 3252*y**2 - 10*y - y + 13. What is the units digit of s(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 5)*(280*j - 160*j + 155*j).\nAnswer: 2200*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 742.91041*-17\nAnswer: -12629.47697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 4*v - 5. Let f be i(-4). Let c(h) = 12*h**2 + 6*h - 7. Is c(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 6*p. Let v(s) be the second derivative of -s**4\/6 - 7*s. Give v(q(l)).\nAnswer: -72*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19.242 and -1.7?\nAnswer: 32.7114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (137\/((-102613)\/107))\/((-11)\/(-49))?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3032909 is divided by 470.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15778 is divided by 323?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 2*m - 32 = 0, -3*d + 507 = -4*m + 429 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 70613 = -4*m - 4676, 32967 = 2*m - i. Suppose y - k = 16467, -9*k + 4*k + m = y. What is y rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 107*g*n**3 + 2595*g - 2*n**4 - n**2 wrt n?\nAnswer: 321*g*n**2 - 8*n**3 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - 5. Calculate the highest common factor of 116 and c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4927763, 9855528, 14783293, 19711058, 24638823?\nAnswer: 29566588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - 2*sqrt(132))*-1 + sqrt(132))\/(sqrt(72)\/(sqrt(30)\/sqrt(5) + sqrt(6))).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234 divided by -26.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + g - 5. Let z = -2 + g. Let x = -25\/4 + 49\/8. Are z and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ullllullulauuullluu. What is prob of picking 1 a and 1 l?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/17*j**2 - 4\/17*j + 2\/17*j**3 + 0 = 0 for j.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16 - ((-30)\/25)\/(2\/(-5)). Solve 3*g - 4*x = -25, y = -2*g - g + x for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1118 and 24854.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.3, -1\/2, -0.03.\nAnswer: -6, -1\/2, -0.03, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*c = 0, c + 2 = -3*j + j. Let a be (-8)\/j + 0\/(3 - 2). Solve 2*t - 4*t = -a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -404*j**3 + 3*j**2 - 8*j. Let b(w) = 810*w**3 - 7*w**2 + 18*w. Give 4*b(m) + 9*p(m).\nAnswer: -396*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 1 = -34. Let q = 13 - c. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 1)*(35*a - 14*a + 146*a)*(3 + a - 3)*(0*a**2 + 0*a**2 + a**2) to the form u*a + w*a**4 + s + b*a**3 + h*a**2 and give w.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1314 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**5\/7 + 114*h**4\/7 + 1440*h**3\/7 + 864*h**2 = 0. Calculate h.\nAnswer: -14, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -18*(-2)\/4 + 0. Let v = i + -17. Let d be (2 + -5)\/(6\/v). Which is the nearest to -2? (a) -0.2 (b) -1\/2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -15*x + 10*x. Solve x = s - 24 + 22 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -69564?\nAnswer: -5\/69564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 0*v - 1\/42*v**7 + 20\/3*v**3 + 5\/6*v**4 - 1\/2*v**5 - 22*v**2 - 5\/24*v**6 + 0. Let u(p) = 0. Calculate p.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(sqrt(275) + (-1*sqrt(275))**2 + 4 + -5 - (sqrt(275)*-2*-1 + (0 + sqrt(275))*-4))*3.\nAnswer: -825 - 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 b when three letters picked without replacement from {w: 6, h: 7, b: 4}?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 19. Suppose -2*v - 103 = -5*c - 0*c, -62 = -g*c + v. Calculate the highest common divisor of 21 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29106, 29176, 29272, 29394, 29542, 29716, 29916?\nAnswer: 30142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10143, -40346, -90625, -160932, -251219, -361438, -491541?\n\"Answer: 8*w**3 - 10086*w**2 - w - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 - 4*y**2 + 0*y**2 + 2*y + 2 + 2. Suppose 11 = 2*j - d, 0 = j + 3*j - d - 17. What is the tens digit of s(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 10*y**2 + 10*y + 10. Let c be a(-9). Let x(d) = -92*d + c + 183*d - 89*d + 5. Determine x(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 30 + 4?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 9*o + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*p**2 - 6937*p - 18484 wrt p.\nAnswer: -8*p - 6937","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20\/23 + 237\/299. Let j = g + -23\/39. What is the smallest value in -5, j, -3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -12. Solve 2 = -4*j + w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-164)\/99 + (-93)\/((-82863)\/990).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(98) + -2*sqrt(98) - sqrt(2) - (sqrt(2) - (-2 + (sqrt(2) - sqrt(8)))))**2 + (1 + sqrt(8)\/sqrt(4)*5)**2.\nAnswer: 50*sqrt(2) + 258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*t - 80 = -t, -2*s + 3*t + 52 = 0. Solve s = -10*m + 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 17*l**3 - 4*l**2 - 6*l - 1. Let t(g) = -12*g**3 + 4*g**2 + 5*g. Let a(r) = 3*s(r) + 4*t(r). Determine a(-3).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 12:27 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 232, 227, 222?\n\"Answer: -5*l + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1756 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/12)\/((-4)\/(-8)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, g: 1, v: 1, q: 1, k: 2, h: 2}. What is prob of picking 2 m, 1 q, and 1 g?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*o**4 - 24*o + 0 + 0 + 21*o + 5*o + 22*o**2 to the form v*o + x*o**3 + m*o**2 + k*o**4 + t and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.18 and 16?\nAnswer: -2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -3\/5 (c) 142.2 (d) 0 (e) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**2\/2 + 5*d - 3. Let u be h(0). Suppose -21 = c - 5*w, 35 = u*c - w + 4*w. Put 1, -5, c in increasing order.\nAnswer: -5, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1224 = 9*u - 1017. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - z - 8 = -1, 5*h = 2*z + 16. Suppose -a + 1 = h. Which is greater: -4\/11 or a?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3226, -26002, -87730, -207856, -405826, -701086?\n\"Answer: -3241*w**3 - 30*w**2 + w + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1362 and 2098.\nAnswer: 2857476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.929841 kilometers in nanometers?\nAnswer: 2929841000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -3.988. Let w = y + -22.988. Let v = w - -30. Which is the third biggest value? (a) -5 (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 201*v**2. Let u(g) be the third derivative of g**6\/360 + 8*g**3 - 62*g**2 - g. Let y(q) be the first derivative of u(q). What is t(y(l))?\nAnswer: 201*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 5071712*p + 1607641413184.\nAnswer: 4*(p + 633964)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) -35.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46909648?\nAnswer: 2, 67, 43759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14666*n**2 + 14684*n**2 - 44008*n**2 + 14664*n**2.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 10 = -x, 0 = -2*k - 5*x + 9 + 14. Suppose -k + 0 = -3*g. Suppose -4*v = -c - 4, -2*c = g*c. Calculate the highest common factor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 6*o + 9. Let c be f(7). Is (858\/c)\/1 + -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*i**2\/7 + 795642*i\/7 + 2386980\/7.\nAnswer: -6*(i - 132610)*(i + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 81510214 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -413 - -413.01. Are t and -63 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212.01086 rounded to 1 dp?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*r = 454 - 120, 2*p = -5*r + 229. What is the greatest common factor of 14 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -289*v - 28. Is x(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qh when two letters picked without replacement from {q: 1, h: 5, x: 1, i: 3}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-634180374)\/(-315942)*1\/(-210). Let q = u + -1\/47870. Let t = 102\/11 + q. Which is the nearest to t? (a) 12 (b) 4 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 4, 53, 931, 1\/3, 0.08, 2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109*n + 110 + 7*n**2 + 94*n - 203*n - 742 to g*n**2 + s + u*n and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(-1\/6)*v))\/v*v*v\/v**(-1)*(v**1*v*v)**(-3\/14))**(-26) assuming v is positive.\nAnswer: v**(-104\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(-2)*(2 - 54\/21). Let i be w\/((-38)\/(-283)) + (-22)\/(-209). Let r be (15\/2)\/(2\/32). Calculate the highest common factor of r and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344.8209l to millilitres.\nAnswer: 344820.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 750 and 917370?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3360 = -3*n - 3*n. Calculate the greatest common divisor of 144 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 0.046\nAnswer: -0.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-24)*w**(-42) assuming w is positive.\nAnswer: w**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*x. Let d be 26\/1 - (-6)\/(-6). Let o be d\/10*(-18)\/15. Which is smaller: o or x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 76 = 5*i, -5*i = -4*x + 87 - 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628 is divided by 77.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(((-2)\/(-562))\/(-1)). Suppose -732 = -2*t + 64. Let x = t - k. What is the greatest common factor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1828 divide 17698696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 6, -2*p = -m + 2 - 6. Let f(h) = -h + 193. Let y(q) = 39. Let j(i) = -2*f(i) + 11*y(i). What is the remainder when j(-17) is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -451 - a59?\nAnswer: -12aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 26\/5 of a centimeter?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-12))\/(((-4900)\/1140)\/(-49)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -17\/8*f**4 + 289\/4*f**3 - 4913\/4*f**2 + 1\/40*f**5 - 2*f + 25. Suppose p(g) = 0. Calculate g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59248)\/1288*186\/(-138)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n + 14. Let g be b(5). Suppose -r = g - 1. Sort 4, r, -2 in descending order.\nAnswer: 4, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(720) + (-1 + sqrt(720) + sqrt(720) - sqrt(720))*-2 + 3 + -1*sqrt(720) + sqrt(720) + (sqrt(720) + 0)*-6 + -3*-1*sqrt(720))**2.\nAnswer: -384*sqrt(5) + 11536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 138*g**2 - 141*g + 7. Let l(h) = 137*h**2 - 140*h + 6. Let z(t) = 7*l(t) - 6*n(t). What is the second derivative of z(k) wrt k?\nAnswer: 262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -9. Let h(c) = c**3 - 6*c**2 - 8*c - 11. Let w be h(7). Let r = w - -22. What is the remainder when u is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from {q: 2, m: 2, j: 2, o: 4, n: 3}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (340\/(-136))\/((-170)\/24)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -3*h**5\/20 - 5*h**4\/12 - 5*h**3\/6 - h**2\/2 + 12*h. Is k(-3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1167996 + -800257. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -21*t**5\/2 + 7515*t**4\/8 - 4884*t**3 + 43425*t**2\/8 - 843*t - 630 = 0.\nAnswer: -1\/4, 5\/7, 1, 4, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 292 - 273. What is the remainder when n is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ygygygyyyy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5256605184 and -0.36.\nAnswer: -5256605184.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.51 + 6.21. Let u(t) = -t**2 - 5*t - 1. Let w be u(-5). What is the nearest to -2 in 6, p, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**5\/80 + 3*l**4\/16 + 55*l**3\/8 - 42*l**2. Factor o(h).\nAnswer: -3*(h - 11)*(h + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*y + 50*y - 4*y**3 - 20*y + 3*y**3 - 3*y**3 + y**3 + 3 - 3 - 2*y**3 + (y**2 - 2*y**2 - y**2)*(0*y - 2*y + 0*y) + 3*y**3 + 3*y**3 - 3*y**3.\nAnswer: 2*y**3 + 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4.629373um?\nAnswer: 4629.373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - t + 27 = -321, -5*t = -2*p + 150. What is the least common multiple of p and 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-416 + 416 + 7*p)*(0 + 1 + 0) as s*p + j and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/60)\/((-238)\/28)*8?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/304 and -17\/3667551.\nAnswer: 58680816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42530 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18580543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.1 + 3.09999972. Round t to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (225\/750)\/(3\/20)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 185 (c) 10134\/85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -72.2 - 0.517\nAnswer: -72.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-11)*o)\/o**6*(o**(-4)\/o)**(2\/3))**(2\/17) assuming o is positive.\nAnswer: o**(-110\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -33856378 times -0.1\nAnswer: 3385637.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 8*g**2 + 9*g + 3. Let y(h) = -12*h - 40. Let r be y(-4). Is b(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*s**3 + 10308*s**2 + 28094*s - 8868 = 0. Calculate s.\nAnswer: -3, 2\/7, 739","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.016 - -0.01. Let r = x - 0.024. What is the third biggest value in r, 0.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**4\/2 - n**3\/6 - n**2\/2 - n. Suppose -542*f - 625*f - 303*f = -2940. Let g(q) = 25*q**2 - 5*q - 4. Give f*g(x) - 9*o(x).\nAnswer: -4*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46298123\/242 + 191315. What is the common denominator of q and -53\/12?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 806467*w**6 - 6896078*w**2 wrt w.\nAnswer: 96776040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 1. Let p(x) = 2*x - 2. Let m(u) = -3*a(u) + 2*p(u). Suppose -4*c = -2*c + 4*y + 42, 0 = -2*c + y - 52. Let o = c - -24. Calculate m(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from pepeeeepepeeepee.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzcneq. What is prob of picking 2 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-2) + (-245)\/(-14). Suppose t = 3*t + m. Let w = t - -150. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5619780\/(-2916) + (-4)\/(-18))\/((-2)\/4). Calculate the greatest common factor of d and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**2\/2 - z + 4. Is 2 a factor of a(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-35)*1*(-327)\/436\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/128413038 and -71\/780.\nAnswer: 1284130380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -273, 332, 1285, 2580, 4211, 6172, 8457, 11060?\n\"Answer: -q**3 + 180*q**2 + 72*q - 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(0*d + 0*d + d**2) + (-13 - 9*d + 13)*(d + d - d) + (3 - 6 + 1)*(-d**2 + 0*d + 0*d).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6118378 and 12?\nAnswer: 36710268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3303084848 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-2\/3))**45*(g\/(g\/(g*g**1)))**(-10\/9))**(2\/55) assuming g is positive.\nAnswer: g**(262\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 3. Let o = 12 - z. Let i = o - 0. What is the smallest common multiple of 9 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -7\/24*f**4 - f**2 + 1\/12*f**5 - 2 + 0*f + 1\/3*f**3. Let l(b) be the second derivative of z(b). Factor l(n).\nAnswer: (n - 1)*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**3 - 12*h**2 + 15*h - 90. Let d be p(16). What is d rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(120)\/sqrt(6))\/sqrt(10) - (sqrt(162) + 3*-2*sqrt(162))**2.\nAnswer: -4052 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21275*f**5 + 3*f**2 - 108506*f wrt f?\nAnswer: 425500*f**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**3 - 3*n - 2 + 227*n**2 + 2*n - 227*n**2 in the form j + b*n**2 + i*n**3 + c*n and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1*1*sqrt(891) - (sqrt(891)*1 + -1)))**2*-1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/10)\/((-2)\/20). Suppose -89 + 29 = 4*i. Let o = h - i. Solve 6*d - o*d + 3*s = -9, 0 = d + 5*s + 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 28*u + 35. Let o be t(11). Suppose -10*j + 247 = -o. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-476 - 481 + 887)*(-6*g**2 - 2*g**2 + 6*g**2 - 8*g**3) + 0*g**3 - 2*g**3 - 2*g**3.\nAnswer: 556*g**3 + 140*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 4*p + 96, p + 7*t + 32 = 4*t. Let u = p - -33. Suppose 0 = 2*n + 2, -5*n - 6 - u = -2*d. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 - 6*n + 1. Let h be k(-4). Let a be -32*1 + 2\/1. What is the units digit of (-2)\/(-2 - h\/a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 99730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -103*p + 56. What is the hundreds digit of m(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 0 - 1\/3*l**4 - 3*l + 0*l**2 + 1\/3*l**6 + 0*l**3 + 3\/10*l**5. Let z(t) = 0. What is t?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ojooooooooooosoososo?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -434, 1\/3, 1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**4\/10 - 523*k**3\/5 + 8433*k**2\/10 + 523*k\/5 - 4216\/5 = 0. Calculate k.\nAnswer: -1054, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayaayaaaaayaaaaaaaya. What is prob of sequence aay?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20\/13? (a) -1\/3 (b) 0.24 (c) 19\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*b + 5*f, 4*b = 3*b - 2*f + 4. Let n = b - 5. Let v = 18 - 13. What is the closest to n in v, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83410300 divided by -25.\nAnswer: 3336412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 616\/3 + -1223\/6. Which is the nearest to -0.2? (a) -0.01 (b) -5 (c) 1\/2 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 1584?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*9\/2*-4. Let w be 3*(3\/9 - -1). Suppose 3*a - 90 = -w*d, a = -d + 5 + p. Is d a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000143644 to seven dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 356.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2509 not equal to -1854.37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -1, -433.689, 3.\nAnswer: -433.689, -33, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -120 + 182. What is the remainder when u is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, w: 2}. Give prob of picking 3 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22972 is divided by 267.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/8 - -33\/40. Let j(l) = l + 11. Let m be j(-6). Suppose -18*x = -19*x. What is the closest to r in -2, x, m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5707 by -27.\nAnswer: 5707\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.102+-2.199\nAnswer: -2.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -3*k + k. Suppose -t - 79 + k = 0. Suppose -1856 = -t*j - 6*j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 20 = 0, -3*i = 2*p - 15 + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1391? (a) -12 (b) -1\/7 (c) 0 (d) 5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - z + 9 = 0, -k - 9 = -0*k + 5*z. Suppose 0 = -k*t + t + 35. Suppose 0 = 11*p - t*p - 56. Solve 3*x - x = -i + p, 2*x - 30 = -5*i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 322 - 10728?\nAnswer: -10406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 21 - 38 - 48*t.\nAnswer: -48*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 22*p**2 + 103*p + 430. List the prime factors of j(-44).\nAnswer: 2, 3, 5, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 9:57 AM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 49*w. Suppose -2*y + 2 = 5*z, -18 = -2*z - 3*z + 2*y. Let f(p) = -z*p + 2*p - 2*p + 4*p. Calculate h(f(g)).\nAnswer: 98*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54955 and 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, 1, -8, -14, -4, -20 in descending order.\nAnswer: 1, -1, -4, -8, -10, -14, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 20877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 g, and 1 n when four letters picked without replacement from qsqegngsngqnqn.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 694331 to the power of 1\/2, to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -15 (b) 1 (c) 1\/3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l. Let z be h(6). Suppose 0 = -2*r + 2*p + 36, -4*r - 4*p = p - 27. Let b = z - r. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 33401, 133290, 299785, 532886?\n\"Answer: 33303*r**2 - 20*r + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 9*p**2 + 6. Suppose 4*i - 28 = -0*i. Let x = i - -2. Let f be k(x). Solve h + f = -2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 18*c - 5. Let o be q(17). Let y(r) = 1 + o*r + 9 + 10. Let z be y(11). What is the highest common divisor of z and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1174, -3, -1, 339 in decreasing order.\nAnswer: 1174, 339, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -6*o**4\/5 + 70*o**3 + 2576*o**2\/5 + 312*o = 0?\nAnswer: -6, -2\/3, 0, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -200 (base 4) to base 10\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -267 - -175. Let k = -882 - -1089. Let s = k + h. What are the prime factors of s?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235590.\nAnswer: 2, 3, 5, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*z - 237, -5*z + z - 4*m + 232 = 0. Let j = 21 - 1. What is the remainder when z is divided by j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**3 + 981*r**2 + 261144*r + 9856080 = 0.\nAnswer: -468, -45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6387.622 rounded to the nearest ten?\nAnswer: 6390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, q: 1, i: 1, k: 3, y: 3, x: 3}. What is prob of picking 1 k, 1 z, and 1 y?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -4 (b) 102\/307 (c) 0.01 (d) 3\/5 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*g - 51*g + 324. Solve 3*j - 19 = t - 4, -5*j + 25 = -g*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**3 - 153*t**2 - 144*t + 287. Calculate w(-50).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -405\/4 - -215\/2. Find the common denominator of -67\/136 and i.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1280.46 rounded to the nearest ten?\nAnswer: -1280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - 29. Sort 2, 1\/5, 0.05, v in ascending order.\nAnswer: 0.05, 1\/5, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*g - 16 + 96. Suppose 5*v = -25, 5*v = g*c - 15 - 20. Suppose 462 = c*x + 2*z, -220 = -x - 2*z + 9. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4137*t - 786064. Calculate g(-190).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 5*t**5 + 35*t**4 + 60*t**3 - 80*t**2 - 320*t - 240 = 0?\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 plus 481?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2936.\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 926733 and 17701.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 208572 = -10*a - h, -2*a = 5*h - 104264. Suppose -15*b + 10873 = -a. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1269234?\nAnswer: 2, 3, 107, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 6*u - 33. Let k(a) = 3*a - 16. Let d(l) = -7*k(l) + 3*w(l). Determine d(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f**2 - f**2 - f**2)*(727 + 13*f**2 - 6*f - 727) to h*f**2 + p*f + w*f**4 + a*f**3 + c and give w.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c - 4*c - c - 27*c**3.\nAnswer: -27*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 0 - 12*g**3 + 0 to the form r*g + z + n*g**3 + k*g**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 5*u**4\/12 - 3*u**3\/2 - 23*u**2\/2 + 38*u. Calculate the remainder when k(-4) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 930443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84294 + -31907. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29045 + 1307114\/45. Calculate the common denominator of -38\/21 and n.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -25\/3 (c) -62 (d) -2 (e) 0.121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -109 + (-5)\/1 + -1. Let x = 216 + q. What is the remainder when x is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.35 + -0.65. What is the second biggest value in -5, x, 1.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 9 = w, 5*l - w + 20 = 9 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 2*i - w + 2, -2*w + 10 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, -79, 33 in ascending order.\nAnswer: -79, -5\/4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26133, -52271, -78409?\nAnswer: -104547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 14, 142 in descending order.\nAnswer: 142, 14, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*d**3 - 200*d + 153*d + 1844*d**4 + 36 + 4*d**3 + 58*d wrt d.\nAnswer: 22128*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*o - 2158 = 111*o. Suppose 9751 = 30*b - o. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 12, 187557 in ascending order.\nAnswer: -3, 5, 12, 187557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -14 (b) -0.1 (c) -2\/11 (d) 283 (e) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.336 + -85.336. Let d = 85.0874 + h. Round d to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (12\/(-153))\/(5\/30) and -25\/8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.074*14169.5\nAnswer: -1048.543","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -1370901.\nAnswer: 274180.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -433 - -432. Is f greater than or equal to -3\/271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -259 - -103?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7412757 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -41821139?\nAnswer: 2\/41821139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - (0 + 2))\/3. Suppose -4*i = -u*i - 8. Suppose -210 = -65*t + 115. Sort i, t, 10 in ascending order.\nAnswer: i, t, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15696 and 54?\nAnswer: 47088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 1:23 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 12237.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 + 134298498*s + 268596984.\nAnswer: 3*(s + 2)*(s + 44766164)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 120 = 4*n. Let z(s) = -s**3 + s**2 + 2*s. Calculate the remainder when z(-2) is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -94045 * -1.1.\nAnswer: 103449.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 36, 130, 284, 498, 772, 1106, 1500?\n\"Answer: 30*s**2 + 4*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1\/15, -2, 0.3, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 2. Let a(k) = 3*k**2 - 102. Calculate -a(p) + 4*x(p).\nAnswer: p**2 + 94","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*l**3 - 1 - 5143*l**2 + 2 + 5127*l**2 - 3*l**3 + 3*l**4 in the form j*l**2 + v + b*l + a*l**3 + r*l**4 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 3:14 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 109079, 109045, 109011, 108977, 108943, 108909?\n\"Answer: -34*m + 109113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17726 is divided by 106.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 8 + 4*-1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1330*u**4 - 2*u**2 + 256*u + 2?\nAnswer: 15960*u**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3)*3\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(-6*sqrt(66)\/sqrt(11) + sqrt(6)))\/(-4*sqrt(243)*3)*-6.\nAnswer: -sqrt(2)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*k = -3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 33\/52?\nAnswer: 33\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 4 - 1585091*m**2 - 4 + 1585066*m**2.\nAnswer: -25*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 42\/(-56) - 39978\/(-24). What is the greatest common factor of 444 and h?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 4170*j**2 - 2.\nAnswer: -4170*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.31258069 rounded to 4 decimal places?\nAnswer: 1.3126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -98340, -98341, -98342, -98343, -98344?\n\"Answer: -s - 98339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 381, 600, 483, -138, -1431?\nAnswer: -3564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5059 is divided by 771.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 497 + -474. Suppose v + 5*b + a = 10*b, -3*v + 26 = 4*b. Suppose -15 - 3\/5*u**v - 6*u = 0. What is u?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*y + 1353 = 148*y + 156*y for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20188 + 20195. Solve 164 = -s*r + 192 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + 2*sqrt(76) - sqrt(76) - sqrt(76))*-5)\/((sqrt(4) + (sqrt(4) - 1*sqrt(4)))*6).\nAnswer: -5*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = 5*y + 4*h, 5*y - 2*h + 0*h + 90 = 0. Let c be ((-8)\/(-20) + (-72)\/y)\/2. Solve a - c = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17028 is divided by 4250.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 2:09 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 d when two letters picked without replacement from {f: 1, j: 1, s: 1, c: 2, d: 1, w: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 - 0.07. Let i = 2.94 - z. Let m = 5.735 + -5.535. Which is the closest to 1? (a) i (b) 0.5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434274.\nAnswer: 2, 3, 72379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 4*h**3\/3 - h**2 - h - 2. Suppose 0 = p - c, -p + 3*c - 16 = -10. What is the remainder when 51 is divided by k(p)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135035418, 135035419, 135035420, 135035421, 135035422?\nAnswer: 135035423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -8*h - 5. Let a be m(-2). Let n(j) = -j**2 + 14*j - 18. What is the remainder when 23 is divided by n(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(8\/(-2))\/2*(-144)\/(22464\/8034)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8156, -8293, -8488, -8741?\nAnswer: -9052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 12 = -2*c, -1086*c + 1085*c + 19*m + 29 = 24*m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -275*y + 1930. Let a be b(7). Solve -5*l = s + 15, -2*s + 0*l - a*l = 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**5\/8 - 567*z**4\/8 + 24741*z**3\/8 + 192891*z**2\/8 + 53361*z + 64827\/2 = 0 for z.\nAnswer: -3, -1, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 899 - 894. Sort 159, 0, k in increasing order.\nAnswer: 0, k, 159","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20860 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 131 + (2\/3)\/(6\/27). Let o = 577 + t. Let i = o + 8. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2. Let o = -6 + 9. Let u(z) = -o*z**2 + 3*z**2 + 5 - z**2. What is -5*p(q) - 2*u(q)?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -g + 344. Let a = g - 41. Suppose -37 = a*b - 46*b. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-7 + 6 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*s**3 + 5*s**4 + 0*s**5 + 0*s**3 + 4*s**2 - s**5 + 0*s**5.\nAnswer: -s**2*(s - 2)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 7. Let m be y(9). Let v(i) = -i - 6. Let a be v(-9). Find the first derivative of m*g - 1 - g + a wrt g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000079 rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 64 = -122. Suppose 0 = 5*x - 10*x - 3*a + l, 5*a = -3*x + 50. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5372a (base 11) to base 6.\nAnswer: -1401245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 7) to base 4.\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 + 13*f - 7. Let p be o(19). Suppose -t = -0*n - n - 481, 2*n = -2*t + p. List the prime factors of t.\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -36.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 4 + (sqrt(11) + 0 + -5 - sqrt(11)))**2 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77.4 - 77. Which is the closest to -1\/4? (a) -2\/11 (b) 8 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8993 and 119?\nAnswer: 62951","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2608 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/1 - (-2 + (1 - 1)). Let n(b) = b**2 - 4*b. Give n(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2594366314 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, o: 1, b: 1, w: 2}. What is prob of picking 1 d, 1 o, and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -26*h - 234. Let c be n(-9). Suppose c = 3*t - 5*t + 16. Solve 14*z - 6 = t*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 143715490 and 50.1673.\nAnswer: 143715540.1673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/60, 265, 7, -5\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745851?\nAnswer: 3, 29, 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -111681.999684.\nAnswer: 111682.099684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/49 (b) -567 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 0, -305335*n + 305330*n - 10 = -4*k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -52 - (32 + -96 - -40)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 357169 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s + 32 = 9*s. Let n be s\/12 + 0 + -1. Let k = 33 - 30. What is the closest to k in -0.2, n, -4\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-1)\/(1\/6). What is the common denominator of (-254)\/(-36) - i\/9 and (-214)\/(-84) - (-4)\/14?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 12 = 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35317654 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.4759229 + -3.115953. Let i = 1.36 - d. What is i rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 7*l - 15. Calculate o(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*v - 5 - 33*v + 5 - 9*v**3 wrt v.\nAnswer: -54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2\/7 - 96*c\/7 + 94\/7 = 0 for c.\nAnswer: 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 6*c + 36 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 14*p - 5. Let s be m(-15). Differentiate -s + 119*o**2 + 120*o**2 - 207*o**2 with respect to o.\nAnswer: 64*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 936\/9 - (2 + -6). Let p(y) = -11*y - 37 - 38 + j - 35. Let i(q) = 5*q + 1. Calculate 13*i(d) + 6*p(d).\nAnswer: -d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**7\/840 - y**6\/90 + y**5\/20 - y**4\/6 - 16*y**3\/3 - 35*y. Let s(p) be the second derivative of i(p). What is s(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200*i**2\/7 + 17002*i\/7 + 170\/7 = 0. Calculate i.\nAnswer: -85, -1\/100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 370789.5 millennia in decades?\nAnswer: 37078950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87761396?\nAnswer: 2, 71, 309019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 39*k**2. Let n(p) = 38036*p**2. Give n(v(r)).\nAnswer: 57852756*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 140309, 140308, 140307?\n\"Answer: -i + 140310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 817*q - 63*q + 6026 + 5284 = 0 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1976)\/16)\/19*((-20)\/(-2))\/5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {m: 2, b: 1, c: 4, n: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8874.004 grams in nanograms?\nAnswer: 8874004000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 131127 and 3179529.\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -160 (base 7) to base 14\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2 + 24*c. Suppose x - 198 = -204. Let b be a(x). Suppose -5*q + 56 + 24 = b. What is the remainder when 44 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 5*r + 61, 4*c - r + 0*r = 79. Suppose 0 = -l - f + 11, 2*l - 3*l + 5*f = c. What is the tens digit of ((-48)\/(-40))\/(l\/200)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + t + 169. Let i(s) = 2*s**2 + 2*s + 237. Calculate -5*i(u) + 8*y(u).\nAnswer: -2*u**2 - 2*u + 167","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)\/i**3)\/(i**(-4)*i*i*i**(1\/3)) assuming i is positive.\nAnswer: i**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-8) + (-27)\/(-6). Suppose -n*t + 9 = 3. Solve -t*i + 21 = -5*f, -3*f + f - i - 3 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 0*b + 0*b**2 - 10\/3*b**3 + 0 - 4\/3*b**4 = 0.\nAnswer: -5\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*l = 863 + 2075 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**9\/60480 - p**8\/2880 + p**7\/840 - p**6\/720 - 31*p**5\/60 + 19*p**2. Let g(q) be the third derivative of v(q). What is g(5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 22118 - 14*v**2 - v**3 + 22062 - 44260 - 30*v. What is j(-12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72 + -249\/4. Find the common denominator of -125\/12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -757, 3, -0.2, -1.2636, -5\/4.\nAnswer: -757, -1.2636, -5\/4, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 59*o - 53*o = 13, -2*r + 14 = 4*o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - g + 1. Let c be o(2). Let u(q) = -q**3 - 6*q**2 - 7*q - 3. Let i be u(c). What is the units digit of i + (-3)\/(6\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3 - (84\/(-32) - 4) and -3\/13.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226807 is divided by 225866?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2314 - -609. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1270, -3 in descending order.\nAnswer: 5, -3, -1270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 8:22 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43385?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20223 + 2095 - 1990)*(-3 + 3 - 2*h).\nAnswer: -40656*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*sqrt(7) + 4.\nAnswer: -2*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 9:08 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 0 = 3*s - 2*u, -4*s + 5*u = -24. Suppose -92*c - 954 = -101*c. What is the remainder when c is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(152) + sqrt(152))*-4 - -3*(-1*sqrt(152) + sqrt(152)))\/((1*sqrt(64)*2)\/(sqrt(968)*-1)))**2*-3.\nAnswer: -110352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*a + 13*a + 32 + 10*a)*(1 - 2*a**2 - 1).\nAnswer: 2*a**3 - 64*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqc when three letters picked without replacement from ncqnowqicqn?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 384 = 5*j + 93, 4*j = 4*c + 612. Is 1\/((3 - 5)\/c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 293996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39461 or 3?\nAnswer: -39461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19812136.\nAnswer: 2, 19, 130343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - 3*b - 105. Let g = 29 - b. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/5)*a*a**1)**(2\/47) assuming a is positive.\nAnswer: a**(26\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95904 is divided by 18131.\nAnswer: 5249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/17*(-50048)\/(-4416)*-7.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -167, -1415, -4897, -11729, -23027?\n\"Answer: -186*q**3 - q**2 + 57*q - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3)*(86*c**3 - 86*c**3 - 46*c**4) - c**4 + 4*c**2 - 4*c**2 - 1 + c**4 + 1 + (0*c + 4*c - 3*c)*(-5*c**3 + 2*c**3 + c**3) + c - c - 2*c**4.\nAnswer: -50*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 230169556 divided by -92\nAnswer: -2501843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -504*l**3 + l + 1416 wrt l.\nAnswer: -1512*l**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 10:10 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -237*z + 256. Calculate the common denominator of -41\/225 and d(1).\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 - 10*8\/20 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 7:09 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 6 (c) -4 (d) 4\/9 (e) 0.1 (f) -14887\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (2 - 8)) + 2 + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -128.57 take away -3?\nAnswer: -125.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -4*t + 667 - 682, 4*v + 3*t + 21 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3 = 2*p, 0 = -5*w + 2*p + 26. What are the prime factors of 1149\/15 + w\/10?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 580666, 580659, 580652, 580645?\nAnswer: 580638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -693110\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44482, -89006, -133530, -178054, -222578, -267102?\nAnswer: -311626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -894 + 943 - (23 - -4 - -1)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345280 is divided by 959?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*-1528.\nAnswer: -168.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 424 and 1776.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**3 - 8*j**2 + 0*j**2 - 2*j - 1 + 10*j**2 to the form w + a*j**2 + k*j + r*j**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/44)\/((-3)\/10) + 2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.040557 and 0.077.\nAnswer: 0.036443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2 + 4. Let q be -2 - -1*(9 + -2). Suppose -10*u + 4*u - 11*u - 17 = 0. Put u, q, o in decreasing order.\nAnswer: q, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from ynemmdmyenee?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*j - 10, -2*s + 4*j + 13 = -j. Let u be -9*(-6)\/(-18) + (2289\/245)\/3. Is s != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1200442 divided by -1.\nAnswer: -1200442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9274 - 9084. Solve c*n + 17 = 173*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2132, -2103, -2066, -2021, -1968?\nAnswer: -1907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000642976 to seven decimal places.\nAnswer: -0.0000643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1129474782?\nAnswer: 2, 3, 62748599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-92)\/(-552))\/(((-1)\/(-13))\/(-1)))\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -310, 2\/7, 433\/3140?\nAnswer: -310","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-4))\/(-3)*108\/(-360)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of 24*o**2 + 1\/3*o**4 + 0*o**3 + 0 + 7\/20*o**5 - 14*o. Differentiate f(z) with respect to z.\nAnswer: 21*z**2 + 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12349733 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 120 + 1. Let p = n - 119. Solve -2*s = 0, -p*s = 4*w - 3*w + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19194*l - 156085 = 16249*l for l.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3364645989 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/5)\/u*u)\/(u*u**(-6))*u\/(u**(-3)\/u)*u*u**6)**(-1\/17) assuming u is positive.\nAnswer: u**(-84\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k**2 - k**2 - 6*k**2)*(0*k - k**2 + 2*k**2 - 2*k) + 208*k - 208*k + 12*k**4 to the form b*k**2 + f*k + l*k**4 + p*k**3 + h and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02389089617 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 7 + 2*h**2 - 19 - 3*h**3 + 3*h)*(-1 + 3 + 3).\nAnswer: -15*h**3 + 10*h**2 + 15*h - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257792104?\nAnswer: 2, 107, 301159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.658 - -0.342. Which is the smallest value? (a) 3 (b) -3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1140, 2189, 3150, 4023, 4808?\n\"Answer: -44*o**2 + 1181*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -5*h - 74. Calculate d(4).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111010110010100 - 11?\nAnswer: -111010110010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100295 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*b + 8*b - 4*b)*(4 + 0 - 2) + 2*b - 3*b + 0*b)*(2*b**2 + 3*b**2 - 6*b**2)*(-3 + 0 + 1).\nAnswer: 22*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 y when two letters picked without replacement from {y: 1, o: 8, t: 3, i: 6}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26\/5 of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 10:57 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/3*(-12)\/(-10). Let k be (4\/b)\/(2\/(-8)). Let g(z) = 7*z**2 + 2*z - 2. Let w be g(-2). Solve -y + 2*n + 2 + 11 = 0, k*n + w = 4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (2 + (-5 - -4)) - -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 2*m + 14 = 0, -4*z + 11 = 3*m + 42 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -151 (b) -1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 6*u**2 - 7*u - 3. Let m be k(7). Calculate the remainder when -3*44\/18*m is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2263997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -66\/5 (b) 15 (c) 2 (d) -3\/2 (e) -5 (f) -3 (g) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = -8*n + 10*n. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703842319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 11*o**2. Let u(g) = -g**2 - 65*g - 900. Let w be u(-45). Let y(h) be the second derivative of 3*h + w*h**2 - 1\/3*h**3 + 4. What is y(q(t))?\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, -297, -866, -1641, -2610?\nAnswer: -3761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -32*r**2 - 3*r - 2. Let h be w(-1). Let q = 36 + h. Which is the fourth smallest value? (a) 2 (b) 2\/3 (c) -6\/5 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69218992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00922348203 rounded to six dps?\nAnswer: -0.009223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = h + 1 - 2, 0 = 2*h + 5*r - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244 + 252 = -8*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4683369*g**2 + 303895 with respect to g.\nAnswer: -9366738*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 15) to base 13.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -131985 divided by -1257\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 0. Let s(b) = b**3 - 3*b + 1. Let c be s(2). Let g(t) = t**3 - 4*t**2 + 5*t - 3. Let x be g(c). Solve -3 - w = x*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/8 and (5 - -2) + -8 - (-41)\/68?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2416 and 944?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1719 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -506*r - 98 = -520*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005358212779 to 7 dps.\nAnswer: 0.0000536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14858.\nAnswer: 2, 17, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 5*t = 3*t + 15, -3*a + 3*t = -30. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 45, -3 in ascending order.\nAnswer: -3, 2, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in 3\/4, -9\/5, 48.9, -2\/13?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -25057.47340857.\nAnswer: -25056.47340857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 26 = 3*q - 11*x, q + 4*x = 7*x + 9 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 127921660 divided by -549020\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v + 6*v**2 + 13*v - 3*v**2 - 8*v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 2*p - 6 + 4*p - 2*p - p. Let n = 19147 - 19153. Give g(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1\/56 (b) 0.5 (c) 101\/8 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 429 = 74. List the prime factors of v.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*u - 1 - 1 = 0, g = 5*u - 2. Let i be -3*(3 + (g - 0)). Let o(m) = -m**3 - 3*m**2 - 4*m. Give o(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 2*b - 2*b + (-2*b - b + b)*(4 - 1 + 0))*(3 - 2 - 3).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 366814619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l**2 - 5*l + 1. Let b be (4\/(-10))\/(1\/(-5)). Suppose 1 - b = s. Suppose -5*z + 3 = 28. Let t(c) = c**2 + c. Give s*j(r) + z*t(r).\nAnswer: -2*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(125) + -1 + 0)**2 + sqrt(10)\/sqrt(2) + 2 + (sqrt(5) - (sqrt(5) - sqrt(15)\/sqrt(3))) + 1)*3.\nAnswer: -24*sqrt(5) + 381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/16 + 1)*(-20)\/50?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3266 (base 7) in base 6?\nAnswer: 5235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 325154 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 105.8, -5, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 52 = 3*p, 2*l - 13 - 39 = 5*p. Let j be (l\/(-20))\/(6\/(-1605)). Suppose -2*x - x + j = -a, -x + a + 72 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 23684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 + 2.6. Suppose 26*o - 21*o + 2*i - 31 = 0, o + 2*i = 19. Which is the second smallest value? (a) h (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(10\/(-4)) - (-724625)\/625.\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58484182 is divided by 1914?\nAnswer: 1912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 40*d - 3428. Let y be r(89). What is the highest common divisor of y and 7689?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13769572 is divided by 12283?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2177*z**2 - 3*z + 2335 wrt z.\nAnswer: -4354*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 146659, 4, 0 in decreasing order.\nAnswer: 146659, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 13*o**2 + 10*o - 28. Let i(q) = -3*q**3 + 38*q**2 - 31*q + 86. Let w(t) = -2*i(t) - 7*r(t). What is the remainder when w(13) is divided by 67?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 18 = 5*a - 56, 0 = 2*s - 5*s - a + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 - -b542d?\nAnswer: b5441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*f - 17 = 0, n = 6*n - 2*f - 25. Let h = -37506\/11 + 3406. What is the common denominator of h and (-74)\/(-24) + (-6)\/n?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -4.659103261 rounded to four decimal places?\nAnswer: -4.6591","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 651 minutes after 11:39 PM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 50 = 48 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 3*f - 5*f + (0 + 3 + 0)*(-17*f + 47*f + 19*f))*(2*f - 4*f - 2*f).\nAnswer: -572*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2968*r. Let h(i) = -1621*i. What is h(f(x))?\nAnswer: 4811128*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-7))\/(8\/(-28)). Suppose h - m*h + 10 = 0. Solve -h*v + 7*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 5*q**2 - 17*q + 17. Let a be c(7). Suppose 2*o = -b - 142, 7*b - 2*b = 3*o - 762. Let z be b\/4*a\/(-3). Round z to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 43 = 2*x - 4*z, 8 = x - z. Which is smaller: x or 14?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 11101011000000000001101?\nAnswer: -11101011000000000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 361 - -3204?\nAnswer: 3565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 295 - 200 = 0. Let w be d\/4 + 29\/(-116). Solve -3*n - 2 + w = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -619 - -617. Let k be (9\/12)\/1 + -1. What is the nearest to -2\/5 in k, b, 2\/15?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4)*(7 + -5). Let n(s) = 11*s**2 + s - 1. Let i be n(p). Suppose 0 = 16*d - i*d - 785. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 + 0.56. Which is the third biggest value? (a) l (b) -1\/3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*q**5\/4 - 69*q**4\/4 + 6033*q**3\/4 + 24597*q**2\/4 + 7317*q\/2 - 5346 = 0. Calculate q.\nAnswer: -9, -3, -2, 11\/17, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17929179 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 - v + 2. Let d(b) = -b**3 - 2*b**2 + 8*b + 2. Let o be d(-4). Give i(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 16. Let s be z(0). Let f = 18 - s. Suppose f*i = 32 + 28. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9321209 millennia in months?\nAnswer: 11185.4508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5246048592?\nAnswer: 2, 3, 251, 16127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-1))\/((-102)\/85*35\/3)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 0.522?\nAnswer: 0.722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.60302 micrograms to kilograms.\nAnswer: 0.00000009860302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 14327988.\nAnswer: 157607868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4\/4 + 21*r**3\/4 + 27*r**2\/2 + 15*r + 6.\nAnswer: 3*(r + 1)*(r + 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 448*u**3 - 3*u**2 - 1092*u?\nAnswer: 2688*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/8 - 1\/(-4). Suppose -5*d = -c*d - 165. List the prime factors of d.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 12:53 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.462 + -0.862. Let r(o) = 2*o**2 + 10*o + 19. Let t be r(-4). Sort 4, c, t, 0.2 in increasing order.\nAnswer: c, 0.2, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5253*j**3*u**2 - 6*j**2 - 183*j*u**2 - u wrt j.\nAnswer: -31518*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -4*j**3 - 54892324*j**2 - 188322979578720*j - 188322924686400 = 0?\nAnswer: -6861540, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005522104 rounded to 6 dps?\nAnswer: -0.005522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 n when three letters picked without replacement from nvvjjtvcjcnunu?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 12:41 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -1\/6, 12, 0.2, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0\/z)**(-30)\/(z\/(z\/(z\/z**(-4\/9))*z)*z**36) assuming z is positive.\nAnswer: z**(-58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 33*t + 40*t - 91*t.\nAnswer: -18*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 - o + 16. Let u(r) = -r**2 - 8. Let z(g) = -3*p(g) - 5*u(g). Determine z(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttkitydyktyd. Give prob of sequence kti.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1175305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.65 and 1.92092.\nAnswer: 1.27092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 4*r + 5. Let i be w(-5). Let p be -10*(-3 - (-26)\/i). Suppose 2*f = p, 3*u - 2*f + 52 = 5*u. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772 is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24, 120, 286, 528, 852?\n\"Answer: r**3 + 29*r**2 + 2*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 7 - 1 + 4 - 6. Let w be y(4). Suppose -4*o + 12 = -w. Solve -o*v - 10 = 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 25*t + 10. Let z be n(4). What is the highest common divisor of 11 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08 - 0. Let p = 575 - 580. What is the nearest to 0.1 in p, -0.2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.98814 years to decades.\nAnswer: 2.198814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/2*t**3 - 1269\/2*t**2 + 178929\/2*t - 8409663\/2 = 0. Calculate t.\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 164*t + 12191. What is l(-81)?\nAnswer: -1093","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.9452 - 0.0548. What is the biggest value in z, 34, -4, 0, -2\/9?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 26*h + 56.\nAnswer: -(h - 2)*(h + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 2\/3, 0.3, 0.1259, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*(p\/((p**7\/p)\/p))\/p))\/p*p*p*p*p\/(p**6\/p))\/(p\/(p\/p**3)*p*p**17) assuming p is positive.\nAnswer: p**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v**2 + 2*v + 2. Let i(x) = 85*x**2 - 35*x - 35. Let w(a) = -a**2 + 16*a + 55. Let f = -483 - -480. Let s be w(f). Determine s*i(n) - 35*d(n).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 15 = 2*j - 5, 0 = -2*j - 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 1 + 118*y**2 - 4*y**2.\nAnswer: 114*y**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 309*i**2 - 2*i - 106*i**2 - 103*i**2 - 98*i**2 - 18*i to the form x*i + l + u*i**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2. Let n(x) = -x + 2. Let b(q) = -78*q + 130. Let s = -109 - -369. Let p(g) = s*n(g) - 4*b(g). What is p(j(c))?\nAnswer: 104*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 9:18 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*o**6*r - 51*o**5*r**2 + 21*o**2*r**2 - 2*r**2 wrt o?\nAnswer: -480*o**3*r - 3060*o**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08074722 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 + 60 + (-2 - 4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 6*n + 234. List the prime factors of n.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 0*l + 9 - 2 + 2*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25, 31, 37, 43, 49, 55?\n\"Answer: 6*g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 70278 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k = 26087 - 25982 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -2479, -90, 1, -2.\nAnswer: -2479, -90, -2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -122 - 802?\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*39\/(-130) - (-20)\/(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2752133 is divided by 1771?\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12187866*x + 5940 = 12187756*x for x.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (18*z**3 - z**2 - 7*z**3 - 17 - 13*z**3)*(-4 + 4 - 2*z)*(-88 + 38 + 26) as r*z**4 + u + j*z + q*z**3 + p*z**2 and give j.\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 77 = -62. Let t(d) = d**2 + 3*d - 2. Let x be t(-4). Solve 3*h - x*i + 9 = -p*i, -3*h + 4*i - 23 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 3, -3, -5 in decreasing order.\nAnswer: 4, 3, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((796\/28059)\/(8\/(-6)))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 3*p**2 - 2*p. Let n be g(-2). Suppose 2*b + 5*w + 13 = 3*b, 2 = -w. Let c = n + b. Solve -c*d + 6*d - 15 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/2712 and 117\/3102980.\nAnswer: 18617880","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 2*x + 8*x. Let p(o) = -o**2 + 5*o - 1. Let a be (32\/(-20))\/(6\/(-15)). Let l be p(a). Solve y = 3*v + 11, x = -v - 0*y + 2*y + l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2271 * 4.\nAnswer: 9084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1730e + 1?\nAnswer: -1730d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(119) + -1*sqrt(119) - sqrt(119)) - sqrt(119)) + sqrt(119)*-2*6)\/((sqrt(77) + (-4*sqrt(77)*-4 - sqrt(77)))\/sqrt(11)).\nAnswer: -7*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*(2*u**5 + 0*u**3 + 0*u**3) - 14 + 14 - 10*u**5 + (-4*u**5 + 0*u**5 + u**5)*(-4 + 0 + 1)*((1 - 5 + 2)*(2 + 2 - 5) - 5 + 3 + 1 - 2 + 2 - 4).\nAnswer: -35*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0694 and -146862?\nAnswer: -10192.2228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -13 - (-12 - -159 - (78 + -27))?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - a5665?\nAnswer: -a5663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**4 - 26235*j**3 + 43230456*j**2 - 16410681648*j = 0. What is j?\nAnswer: -10209, 0, 732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(136) - sqrt(34))\/sqrt(2) + (4*(sqrt(17) + sqrt(68)\/sqrt(4)))**2.\nAnswer: sqrt(17) + 1087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3346 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1 (b) -3250 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/75 (b) 2 (c) 10 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 7912*a + 1242171. Determine z(154).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*l + 32*l + 4569 - 645 = 37*l for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 5*h + 3*h - h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4242*n - 188655 = 172299 + 67488 for n.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 15974880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is bd024 (base 14) in base 16?\nAnswer: 6fe28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is de1b59 (base 16) in base 3?\nAnswer: 1000101112001212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence luel when four letters picked without replacement from {e: 2, w: 2, u: 2, l: 3}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20 + -18)\/(2 + (-8)\/(-6)). Factor o*w**3 + 0 + 27\/5*w + 18\/5*w**2.\nAnswer: 3*w*(w + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 + 9*k + 8. Let d(b) = b**2 + 5*b + 4. What is 10*d(u) - 6*i(u)?\nAnswer: -2*u**2 - 4*u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t - 11. Let m = 68 + -67. Let l be 28\/(1 + 3)*m. Let j be d(l). Solve f = j*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 + 18*y - 7. Suppose -4*g + 24 = -8*l + 6*l, 5*g + 25 = -3*l. Calculate the remainder when 90 is divided by h(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265 = 5*a - 4*t, 2*a = 4*t + 38986 - 39104 for a.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -804 + 808. Solve c = -i - 3 + 1, 2*c - r*i = -4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22061021 to the power of 1\/3, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/99*(-45)\/10 + -26?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*-5*(-10)\/200*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/1)\/(-1 - 5). Which is the second biggest value? (a) -0.1 (b) 1\/4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s + 7. Suppose -7*g + 24 = g. Let w(z) = z - 9. Let d be w(g). Calculate f(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - 119*s - 1387. What is m(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*u + a + 3*a, 8 = -2*u + 3*a. Let w(y) be the third derivative of 0*y**3 + 0*y - 1\/12*y**4 + 8*y**2 + 0. Determine w(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4188 in -4, -4\/7, -0.8, -10, 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -386*z + 16860 = -381*z. What is the remainder when z is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**4 - s**2. Let w(c) = 5*c**2 + c**2 + 9 + 5*c**4 + 9 - 3*c**2. Let u(k) = 3*l(k) + w(k). Differentiate u(g) wrt g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011100011100010 - -100?\nAnswer: -10011100011011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 81453719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*k - 2 = -46*k. Let r = k + 1. What is the third derivative of -j**3 + j**2 - j**3 + r*j**3 wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3184193 rounded to 2 dps?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4 + sqrt(7) + sqrt(35)\/(sqrt(20)\/sqrt(4)) + (sqrt(70) + sqrt(70) + sqrt(70) + sqrt(70)*-1 - sqrt(70))\/sqrt(10))**2.\nAnswer: 24*sqrt(7) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28071 is divided by 26359.\nAnswer: 1712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -22, -10, 18, 68, 146?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -613*w + 1470.\nAnswer: -613","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1305399948 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a meter in millimeters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -8*a**3 + 3*a**2 + 4*a + 1. Give n(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, v: 9}. What is prob of picking 2 m?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236*w - 231*w = -5. Let h = 19114\/25731 + -2\/953. Calculate the common denominator of h and w + 2 - (185\/(-6))\/5.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -233 + 450 - 217 - 1354*k + (6 - 4 + 1)*(0*k + 5*k - 4*k) to the form z + c*k and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44427751 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w + 4*w - 2*w - 3 - 2*w + 3 + 3*w - 3*w + w + w - 2*w + 2*w - 6*w + 3*w + 2*w + (2 + 0 - 4)*(-6*w + 5*w + 2*w) - 1 - w + 1 + w - 2*w - w - 2 - w + 2.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g + 26. Let j(u) = u - 5. Let t(s) = 16*j(s) + 3*v(s). Let h be t(2). List the prime factors of h\/2*(-14 + 10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -213001013400?\nAnswer: -213001013410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 3:57 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 736113*d - 368061*d - 368055*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -0.1. Let m = 0.8 + l. Let w = -2079 + 2079. What is the closest to 1\/3 in m, w, -2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2358*p**3 + 4*p**2 + p - 3. Let r be n(-1). Calculate the greatest common divisor of 18 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26 - -80. Suppose j = -2*f - 3*t, -4*f - 36 - 76 = 4*t. Let y be 2\/f*(-12)\/6. Which is the smallest value? (a) 2 (b) y (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by ((-3)\/(-12))\/((1\/(-28))\/(-1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -4*g - 23, -4*g - 2 = -2*q - 0. Let u(w) = -397*w**2 + 4762*w + 29. Let a be u(12). Put -48, g, a in increasing order.\nAnswer: -48, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/4 + 5*k**3\/4 - 6*k**2.\nAnswer: k**2*(k - 3)*(k + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 913*o**2 - 28*o - 66. What is the tens digit of s(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -8.172 (b) 6514 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 2*g - 1. Let u be m(1). Suppose -8 = 4*p, 5*a - 3*p + 7 = -u. Sort -1, a, -2 in increasing order.\nAnswer: a, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 3 - 4. Let u(m) be the first derivative of m**3 + m**2\/2 - 1. Is u(r) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 8)\/(50061\/(-2937) + -1 + 18)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 34 + ((-8)\/10)\/((-26)\/65). Suppose -4*s - t = -3*c + 323, -244 = -2*c + 5*s. Calculate the greatest common factor of 39 and c.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**5\/120 + 5*p**4\/24 - 2*p**3\/3 - 2*p. Let g(y) be the second derivative of m(y). Give g(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3147 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3 + 1. Let x be a\/((-2)\/(-4) - 0). Sort 1, x, 2 in descending order.\nAnswer: 2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Let v = l - -1. Let o = 4 - v. What is the biggest value in 0.3, 0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sixths of a week?\nAnswer: 28560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-8)\/c*c*c)\/(c*c**11\/c*c))**(9\/8)*(c*c**(-1\/2))**(-32)*(c**(-2\/29)*c)\/(c*c\/(((c\/(c\/(c\/((c\/c**(-1\/5))\/c))))\/c)\/c)) assuming c is positive.\nAnswer: c**(-45987\/1160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -101 - -36?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 10. Let b be x(-7). Suppose d = 2*d - 2. Suppose 5*f + 37 = 4*s, -b*s - 7 = -d*s + 2*f. Solve s*v + 2*v + 5 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**2 + 413*i - 14019. Determine h(63).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - 3247\/4) + (-1)\/4. Let q = y - -1542. What is q rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 17252 + 43486 = -30815. List the prime factors of q.\nAnswer: 11, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-13)\/65 + 8\/(-10))*1. Let w(o) be the second derivative of o**4\/6 - o**2\/2 + 4*o. Let s be w(j). Which is the nearest to 1? (a) -5 (b) -2\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37662331.\nAnswer: 7, 359, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2224 + 1330. Is (c\/(-18))\/((-1)\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*r*t + 1575177*r + 2567977*t wrt t.\nAnswer: -2*r + 2567977","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -259, -351, -329, -139, 273, 961, 1979?\nAnswer: 3381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/4*-2)\/((-3)\/(-4854)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 4. Solve l*a + y - 8 = -0*y, -a = 3*y - 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (37 + 5*k + 21 - 36)*(k**2 - 2*k**3 - k**2) in the form g*k + p*k**3 + x + i*k**4 + y*k**2 and give p.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-7) + 7\/(-49). Calculate the remainder when 4 + (u - -7)\/2 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/10 and 137\/242316.\nAnswer: 1211580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -87190539 at least as big as -87190540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000010173 rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 17. Let t be j(-10). Let y be (-94)\/(-14) - 2\/(-7). Calculate the greatest common divisor of y and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) -1 (c) -0.4 (d) 5\/11 (e) -3\/4 (f) -102\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10110110010111110 (base 2) to base 14\nAnswer: 26058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 (base 11) in base 2?\nAnswer: -1011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.94 - 0.06. Let l = 3311530\/9 + -368325. Let i = -377 - l. Which is the fourth biggest value? (a) z (b) i (c) 2 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3777025025 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*z + 80 - 30 - 50.\nAnswer: -186*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + 1*sqrt(84))*3 + 1*sqrt(84)*5)\/(-3*2*sqrt(300) + sqrt(300)).\nAnswer: -11*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021202201110 (base 3) in base 13?\nAnswer: -1ac637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10606920 and 31820760?\nAnswer: 31820760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(128) - ((sqrt(128) + sqrt(128) + 4*sqrt(128) + sqrt(128) + sqrt(128) + sqrt(128))**2 + sqrt(128))).\nAnswer: -10372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -83\/1076 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*l**4 - 4*l**4 + 8*l**4 + (-l + 3*l - 3*l)*(3 - 3 + 2*l**3) + 2 + 2 - 5 - 2*l**4 to h*l**4 + n*l**3 + g + a*l**2 + w*l and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3*b**2 - 3*a**3 - 202*a**2*b**2 + 3*a*b**2 + 609*b**2 + 926594*b wrt b?\nAnswer: 4*a**3 - 404*a**2 + 6*a + 1218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 - 233\/4. Let h = -0.37 + -4.63. What is the second smallest value in h, s, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -67, -148, -251, -370, -499, -632, -763?\nAnswer: -886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -11*o**3 - 23*o**2 - o - 3. Determine v(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 149400 and 495925?\nAnswer: 2075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*d + 5427*d = -31764 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2)\/d*d**(2\/3)\/d)\/d**(-9\/10)*(d\/(d\/d**(2\/13))*d*(d*d**(3\/5)\/d)\/d)**(-19) assuming d is positive.\nAnswer: d**(-556\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1619934, 3239869, 4859804, 6479739, 8099674?\n\"Answer: 1619935*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 11:09 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8398000 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 9 - (-25 + 36)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 12*x - 2. Let t be f(-12). Let i = 5 + t. Solve y = -0*y + i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50c45 (base 14) in base 9?\nAnswer: 325713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281404 is divided by 9380.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11121 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 118 = 57. What is the remainder when 74 is divided by k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 55 - 1440670?\nAnswer: -1440615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*p - 633*p**2 - 753*p**2 + 24*p + 12*p**2.\nAnswer: -1374*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -977*g**2*l*m**3*p + g**2*l*m**2 + g**2*l*m + 12*g**2*l*p - 125*g*l*m**2*p + g*m**2*p + 3*g*m - 55*l*m**3*p - 2*m*p wrt m.\nAnswer: -5862*g**2*l*p - 330*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 2*k + 2. Let y be (-357)\/68 + (-1)\/(-4). What is a(y)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 + 6*f**3 - 3*f**3 + (2*f + 1 - 1)*(12 - 12 - 10*f)*(0*f + f + 0*f) + (-5*f**2 - 5 + 5)*(8 + 8*f - 8).\nAnswer: -59*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5175213539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a micrometer in nanometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.318 - -13250025579.\nAnswer: 13250025578.682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 62 - 5945*n - 8 + 5821*n + 6. Is 23 a factor of b(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -85 + 85.445. Let k = a + 0.005. Let t = k + -0.75. Is -0.3 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-10)\/4 + 2). Suppose -o - 19 = -p*o. Calculate the remainder when 35 is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -13*s + 2. Let z(v) = -16*v**2 + 6*v**2 + 6*v**2 + v**2. Determine g(z(k)).\nAnswer: 39*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*j - 1838, -5*o = -9*o + 4*j + 2432. Suppose 3*r - o = 2*w, 4*r - 3*w = -423 + 1238. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 500, -1.\nAnswer: -19, -1, 500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51608 + 305851 - 3*i + 79703.\nAnswer: -3*i + 437162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -195*a + 749. What are the prime factors of g(-12)?\nAnswer: 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 265 + -245. Let o = n - -128. What is the highest common factor of o and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*z + 6*z - 39*z to the form c + s*z and give s.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10 + 1220\/150 + (-2)\/(-3))*-1510?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a minute in seconds?\nAnswer: 2070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13522951 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/(-288)*(-4)\/(-10)*-2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -90 in decreasing order.\nAnswer: 1, -2, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20007 and 4104.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407145478?\nAnswer: 2, 17, 1879, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43.085 - -0.085. Let h = 104748606.999961 - 104748564. Let i = h + c. What is i rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 168 + 268*x**3 + 2*x + 886 - 212*x**3 wrt x.\nAnswer: 168*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -502 (base 14) to base 7\nAnswer: -2602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - q + 2. Let s be y(1). Suppose -l - 2*v = 2*v - 990004, -s*v = -3*l + 2969998. Round l to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -958 - -968. Solve -2 = m + 3*x + x, -5*m - 3*x = s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/161018 and 47\/28886.\nAnswer: 16262818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-182)\/(-12) - (33 + -17).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -1. Let g(j) = 83*j**2. Let c be g(1). Suppose u = -5*z + c, -u + 19 = z - 0*u. What is the greatest common divisor of z and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 5*x + 10, -2*x - 6 = -2*t + x. Suppose 32*j - 4 = 30*j. Solve t = 2*r + c - 5, -5*r + j*c = 5 + 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -114*n + 118*n - 4*c, c - 3 = -n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4801*g**3 + 5 - 1601*g**3 - 1607*g**3 - 5 - 1600*g**3.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**3\/6 - 2*d. Let q(f) = 105110*f - 105110*f + 11*f**2. Give q(z(l)).\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2775396?\nAnswer: 2, 3, 13, 17791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1061.1 rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -8*v - c - 2, 0 = -v - 4*c - 19. What is the closest to -2\/5 in -4, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x + 6 - 6.\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -121*g + 11*g**2 - 116*g + 229*g - g**3 - 23. Calculate i(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 11*v**2 + 10*v + 5. Let g be s(10). Solve -26 = -4*m - 5*a + g, -5*a = -5*m + 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -6 + 4 + (3 - (6 + 9))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + (-820)\/(-80))\/2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 17 - 623. What is the greatest common factor of l and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 7*w**4\/24 - 17*w**3 - 1391*w**2. Calculate k(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22408 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2620\/3 - 873. Suppose 0 = -0*q - 2*q. Which is the closest to f? (a) -3 (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -199 or -201?\nAnswer: -199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 301731?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1570 + -275?\nAnswer: 1284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 86318780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/2668 and -31\/696.\nAnswer: 16008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/1828 and -61\/10968.\nAnswer: 10968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 2*w**2 - 1. Let k(d) = -59*d**3 - 4*d**2 + d + 6. What is 2*c(l) + k(l)?\nAnswer: -57*l**3 + l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t + 97. Give f(24).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 32*q**2 + 115*q + 613. Let m(z) = 126*z**2 + 462*z + 2454. Let k(h) = -5*m(h) + 21*x(h). Differentiate k(c) with respect to c.\nAnswer: 84*c + 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 14 = 5*p, 0 = 15*d - 10*d - 2*p + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -56036, -112063, -168096, -224141, -280204, -336291, -392408, -448561?\n\"Answer: -r**3 + 3*r**2 - 56029*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 3947 = 4*y, -4*s + 3154 = -376*y + 371*y. What is the highest common divisor of 904 and s?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003502866262 rounded to six dps?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18832?\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 1. Let p = 12995.378 - 13006.377938. Let a = b - p. What is a rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 4*m + 50, -25 = 2*j - 6*j + 3*m. What are the prime factors of ((-2255)\/j)\/((-2)\/4)?\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: -20272 divided by 1267\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2 + v + 0*v + 933067*v**2 - 287317*v**2. Let n be x(-4). Suppose -n = t - 2731994. What is t rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 16*x + 7. Suppose -5*r = 5*r - 210. Let v be f(r). Let j = -389\/4 - v. What is the biggest value in -11, 4, -3, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8\/113 - -1833\/1243. Find the common denominator of -9 + -1 + 17\/(19890\/10283) and i.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1224812414 to 4 dps.\nAnswer: -0.1225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*y**2 + 71*y + 2*y**2 + 6*y**2 + 7*y**2 to the form k + w*y + z*y**2 and give w.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 135 and 30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592747087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 8*g**2 + 5*g + 3. Let x be c(9). Let i = x + 22. Let d be (-75)\/i - (-8)\/44. Is d greater than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, f: 2, z: 7}. Give prob of picking 2 m and 1 z.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -138 + 142. Which is the nearest to 0.1? (a) -1\/8 (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5566174667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3234 and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -197359 times 0.07\nAnswer: -13815.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 - 5 + 21*p - 3 + 11*p**2 + p**3 - 5. Give x(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147762 is divided by 282.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9131263l?\nAnswer: 913.1263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.25912ns to milliseconds.\nAnswer: 0.00000325912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 - 26. Suppose 0 = 22*s - y*s - 40. Solve -m + s = k - 3*m, -5 = m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07339787914 - 1.01?\nAnswer: -1.08339787914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7583743.\nAnswer: 1187, 6389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -47\/750, -1, 1.2, 3, 2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 10:06 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -191 + 190. Let j(o) = 18*o**2 + 13*o + 13. Let l be j(r). Calculate the highest common factor of l and 450.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 3 = -5*t - 3*p + 3, -386*t + 384*t + 33 = -5*p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 13*u**2 + 14*u + 26. Let r be t(-12). What is the highest common factor of r and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 73*c**2 - c - 1. Give t(1).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/8 and -74\/123.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - sqrt(119)*4)*3)\/(2*sqrt(7)*1).\nAnswer: -9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97.56 + -97.62. Which is the smallest value? (a) 0.3 (b) -728 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1165*m**4 + m**3 + 39*m**2 + 717270*m.\nAnswer: 13980*m**2 + 6*m + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -7. Let l = -4\/605 + 6538\/605. Let x = l + -491\/45. Put x, -0.4, d in decreasing order.\nAnswer: d, x, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112373 minus -0.1?\nAnswer: -112372.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + -0.8. Let h = 5 + -5. Suppose 2*y = f + 9, -2*y - 16 + 34 = -4*f. What is the third smallest value in h, d, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -639.8861 to the nearest 10.\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3926892 divided by -2748?\nAnswer: 1429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*4\/(-36))\/(((-1)\/(-106))\/((-201)\/(-134)))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2736 (base 9) to base 6.\nAnswer: -13310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 893.8 times 5\nAnswer: 4469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-9) - 3)*-30. Suppose -2*m + 3*m - 3*g + 20 = 0, 2*g = -4*m - t. Let r = -14 - m. Calculate the smallest common multiple of r and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a + 2*a = 12. Let h = -14 + 10. Let r = h + 4. What is the closest to a in r, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1071 by 119.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3950601243?\nAnswer: 3, 6637, 198413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvwc when four letters picked without replacement from uvcvvvcuww.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 3. Suppose -23*z + 21*z + c = 0. What is the smallest common multiple of z and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -81\/11681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 53 = -3*i - 50, 3*c = 5*i - 6. Solve -6*u = -8*u + 4*z - 14, c*z = 2*u + 11 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4\/4 + 489767*a**3\/4 - 29985311115*a**2\/2 + 164908069101*a - 449739261630 = 0.\nAnswer: 5, 6, 244878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 7:20 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*4 - (9 + -16). Suppose j*f = 2*k - 13, k + 3*f = -2*k + 27. Calculate the least common multiple of 1 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -3\/5 (c) -0.055\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-20))\/((-105)\/3108*-1*-3)\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -23. Suppose -5*d - 300 = 10*d. Let l be ((-48)\/d + -2)*(1 + -3). Which is smaller: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 10*m + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6790*h + 1011715. Calculate r(149).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - 49. What is the nearest to -1\/3 in -8, -4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 1. Let s(x) = 3*x**2 - 4*x - 7. Let b = -11 - -7. Let j(f) = b*y(f) + s(f). Factor j(t).\nAnswer: 3*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*q - 63470 = -4550 - 1085832. What are the prime factors of q?\nAnswer: 2, 19, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2786465 divided by 557293?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -2*n - 5*u, -62 = n + 2*u - 69 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 38*w + 27*w - 67*w. Let a = -7 - -10. Let d(q) = 0 + a*q + 0 + 2*q. What is g(d(p))?\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16840, 16852, 16872, 16900, 16936?\n\"Answer: 4*g**2 + 16836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122662 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*w = -880, 288 = 2*x + 3*w - 267. Let j = 52 + x. List the prime factors of j.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 65*i**2 + 10 + 2 - 19 + 28 - 21*i. What is the remainder when j(1) is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 62120*m**4 - 186375*m**3 + 186405*m**2 - 62165*m + 15 = 0?\nAnswer: 3\/12424, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 + 5 - (0 + -4). Differentiate 11 - 5*k**4 + 5*k**4 + c*k**4 - k**4 wrt k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnkieniepnnnienntn. Give prob of picking 2 i.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2388, 4951, 7506, 10053?\nAnswer: 12592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 + 2968. Let h(v) be the second derivative of v**3\/6 - 621*v. Calculate h(g(s)).\nAnswer: 2*s**2 + 2968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-9)*(-66)\/16*-4. What is the biggest value in o, 1\/2, 1\/12?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97741 and 1106?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 39, -5, 1\/15 in decreasing order.\nAnswer: 39, 1\/15, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from cocooo.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6*d - 242 = -10*d, 0 = -k + d + 222. Let z = 586 - k. Is 72 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxexxxxxxxxxxexxx. Give prob of sequence eex.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.158 - -11.158. Is 12.74 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 106*h**3*p - 19*h**3 + 2*h**2 - 9*h*z**3 - 2*p*z**3 wrt p?\nAnswer: 106*h**3 - 2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 12:46 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -312\/37 or 0?\nAnswer: -312\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8172\/45)\/4 + (-2)\/5. Let l = -1 + 3. Suppose 2*j = 2*n + 32, -l*j + 5*j - 2*n = b. What is the highest common divisor of j and 130?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 - k + 4. Suppose 3*f = 6*f - 168. Suppose 2*c = -2*c + 5*o + f, 0 = -5*c - 2*o + 37. Calculate the remainder when i(-3) is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2 - 2*r**2 + 4)*(-2*r**2 + 4 - 4).\nAnswer: 4*r**4 + 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**8\/112 + 19*l**7\/35 + 279*l**6\/20 + 972*l**5\/5 + 12393*l**4\/8 + 6561*l**3 + 37*l**2 + 2. What is o in u(o) = 0?\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101010011 (base 2) in base 16?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 474.272\nAnswer: 94.8544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 26*z**2 + z + 10. Is h(-2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.04311 rounded to 2 dps?\nAnswer: -7.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -220*2\/14 + (55845\/357 - 157)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 96 = 4*p. Is p a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/336 and 173\/168?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11314.16nm in kilometers?\nAnswer: 0.00000001131416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -46*l**3 - 86*l**2 + 19*l - 4. Is x(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*v + 938 - 538 + 54*v**3 - 506 - 9*v**2 wrt v?\nAnswer: 324*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**5 - 3140671*p**4 + 18*p + 17350?\nAnswer: 20*p**3 - 37688052*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 117*n**2 + 294*n - 269. Does 35 divide x(119)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -9. Is v at most 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 790\/158 - (-1 - (1 - 16)). Which is the smallest value? (a) z (b) -2\/21 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 770 + 2*b - 769 - 10*b + 2*b - 3*b + 0*b + 3 - 2*b - 3 + (-b - 3*b + 6*b)*(-1 + 1 - 1) + 1 - 1 - b.\nAnswer: -14*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (481\/(-259))\/(2\/(-14)). Suppose -21 = -4*j - q. Solve a = -4*x + 1 + 3, 0 = j*a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 j when two letters picked without replacement from hhqssxhhjqqh.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -1641*z + 1624*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/(-1))\/(2 + 0). Find the third derivative of c*f**2 - 2*f**3 - 3*f**2 - 3*f**2 + 3*f**2 wrt f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (16 - 6) - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 4*k + 1. Let j be t(2). Suppose 27 = 2*b + 2*b + j*g, 2*b - 4*g + 6 = 0. Suppose 4*a + 2*u - 61 = 25, a + b*u = 34. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -60*q**3 + 195*q**3 + 51*q**3 + (0*q**2 - q**2 + 2*q**2)*(6*q + 0*q - 4*q) - 5*q**2 - 2*q**3 + 5*q**2 + 3*q**2 + q**3 - 3*q**2.\nAnswer: 187*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -273 + 2913. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 161.2 + -161. Let g be (-219)\/297 - ((-13)\/11 + 1). Which is the third smallest value? (a) s (b) g (c) -3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1\/(v**(1\/11)\/v))**(1\/37) assuming v is positive.\nAnswer: v**(21\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9045251 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-4*1)*2. Suppose -2*i + 7*i = -n*z + 1, -4*z - 2*i + 10 = 0. Let o = 8 - z. Solve -5*j - 20 = 5*r, 4*r = o*j - 6*j - 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*b = -19956, -2700 = -2*h + 14*b + 37308. Is h a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/2 and 41\/365325.\nAnswer: 730650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16.5? (a) -3 (b) -2\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*2*4*((0 + sqrt(2448))*6)**2*-3)*-4.\nAnswer: -25380876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.73 - 0.7300032. What is u rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-3 + 1)) + -26 + (51 - 34).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 1961.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = g + 2*v, -5 = -g - 4*v - 4. Find the second derivative of -3*r**3 + 24*r + 237*r**g + 3*r**3 - 272*r**5 wrt r.\nAnswer: -700*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -5 - 0. Let h = -47\/140 + 3\/35. Sort 0.1, h, i in ascending order.\nAnswer: i, h, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r**2 - 1 - 3 + 6)*(4 - 6 + 0)*(-91 + 133 + 196) as w*r**2 + l + c*r and give l.\nAnswer: -952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**5 - 1 + 1 + (2*c**2 - 2*c**2 + c**4)*(7*c + 0*c - c).\nAnswer: 8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**3\/3 + 7*j**2\/2 + 6*j - 2. Let w be h(-6). Suppose w - 2\/3*b**3 + 0*b**2 - 2\/3*b**4 + 0*b = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 2\/3 (c) 2 (d) -43\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*y - 6*y + 14*y + 5*y to the form l*y + a and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 - n**2 - 6*n**2 + n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 197\/47, -3, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is c9c7 (base 16) in base 13?\nAnswer: 1a686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126312 to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2, 538, 0.02?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11391705 by 3797235.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 1. Let t(q) = 4*q - 86. What is -t(m) - 5*z(m)?\nAnswer: m + 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66729 and 289913?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 325*y - 320*y - 60. What is the greatest common factor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -63585? (a) 16\/5 (b) -1\/10 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 180 and 19172160.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c - 857 + 857 = 0. Solve c = 16*o - 74 - 38 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 17 = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-60653100)\/(-3150) - 2\/(-42).\nAnswer: 5, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 54*j + 6 + 92*j + 22*j**2 + 3*j**2 - 36*j to l*j**2 + q*j + s and give l.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*1\/1 - 2. Let j be (-3 + 2)\/(-1) + u. Is 9 a factor of (-3)\/j*-3*9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(54)*2 - sqrt(6)) - ((-2 + sqrt(405))**2 - sqrt(55)\/(sqrt(11)*1)).\nAnswer: -409 + 186*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 212.3 + -212.1. What is the smallest value in -9\/4, o, -2\/13?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/49, 83, 3.534, -2, -0.3, -3 in decreasing order.\nAnswer: 83, 3.534, 2\/49, -0.3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 7:52 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 3. What is the common denominator of -35\/22 and (2 + 237\/(-108))\/(w\/10)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 22. Let n be j(-24). What are the prime factors of n\/(1\/(4 + -123))?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 127 = 3*q + 2*t, -8 = 2*t. Suppose -13*l + 80 = q*l. Solve l*k = y + 10, -3*y - 7 = -3*k + 8 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y + 5 + 3*y**3 - 3 - 2 as q*y + s + p*y**3 + l*y**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/246 and -25\/2542?\nAnswer: 7626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -373 + 11*r**4 + 2*r**4 + 393 with respect to r.\nAnswer: 52*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, y: 3, a: 1, e: 5, x: 1, k: 3}. What is prob of picking 2 e, 1 k, and 1 x?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 3*b + 10*b = 132510. List the prime factors of b.\nAnswer: 2, 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 13*y**2 + 67. Let m be (-34)\/(-8) - 12\/32*-2. Let c(b) = 12*b**2 + 63. Let r(s) = m*c(s) - 4*f(s). What is the first derivative of r(i) wrt i?\nAnswer: 16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(2\/3)*w*w*w\/(w*w**(2\/19)\/w*w*w))\/(w**(11\/3)*w**(-1)))**26)**(-40) assuming w is positive.\nAnswer: w**(21840\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**4 - 4*o**4 + 5*o**4)*(-403 + 791 - 426).\nAnswer: -38*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29936c (base 13) to base 10.\nAnswer: 1020005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**9\/252 + b**6\/180 - 7*b**3\/6 - 3*b. Let r(w) be the second derivative of n(w). Find the third derivative of r(i) wrt i.\nAnswer: -720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2. Suppose 3*v - 3 = 2*u, -u = v - 5*u + 9. Suppose -5*y = -2*x + 16, -v*x - 2*y - 3*y = 1. Let a(p) = x*p + 4*p - 4*p - 5*p. Give a(z(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 6. Suppose k - 12 = -2*s, -2*k - 5*s = -4*k - n. Suppose g - 154 = -2*g - k*l, -g + 3*l + 60 = 0. Calculate the highest common factor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**3 + 36*a**2 + 33*a + 16. Let d(b) = -10*b + 208. Let k be d(19). What is the hundreds digit of g(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 6*d - 10. Let t be j(-7). Let p be (-5)\/((-5)\/t) - -18. What is the third derivative of -f**2 - p*f**6 - 3*f**2 + 12*f**6 wrt f?\nAnswer: -360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/2 (b) -49 (c) 348\/535\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**6\/180 + 7*g**5\/120 - g**4\/4 - g**3\/6 - g**2\/2 + 2*g + 9. Let f(y) be the second derivative of x(y). What is f(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 5*i**2 - 5*i + 5. Let p be t(-5). Suppose -p = 4*x - 9*x. Let m = 2 + 0. Solve m*s + 3*s - 5 = 5*q, 4*q = -s + x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 c when three letters picked without replacement from hhhhhhhchcahhh.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3780 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*o + 34*o - 348 = 0 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6, -17, -50, -117, -230, -401?\n\"Answer: -2*l**3 + l**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -421606303, -421606306, -421606309, -421606312, -421606315, -421606318?\nAnswer: -421606321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h**3 + 5*h**2 - 7*h + 2. Let p(l) = -l**3 + l**2 - l. Determine -5*p(v) + w(v).\nAnswer: -v**3 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2664*r - 115977 = 4395*r for r.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of 5*w**4\/4 + 2*w**2 + 11. What is the second derivative of p(a) wrt a?\nAnswer: 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 10 = 4*y, -5*o - 2*y + 3*y - 16 = 0. Let g be o\/2*364\/(-42). What is the highest common divisor of 65 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 - -16. Suppose 3*r = -3*v + o + 9, -4*v - 76 = -4*r. Put 2, r, -1 in increasing order.\nAnswer: -1, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -220 + 190. Let i(f) = -18*f + 232. What is the tens digit of i(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80183830 is divided by 472?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1021 divide 882866868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/1 + (1 + 11 - (20 - 5 - 13)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10457 - 5626. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102717 - -12932. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4*n**3 - 87*n**2 - 4 + 1.\nAnswer: -4*n**3 - 87*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/19856 and -85\/6.\nAnswer: 59568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2011.7 - 2011.34758. Let d = -0.349 + x. What is d rounded to four decimal places?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**1*l**(-3)*(l*l\/l**(-4))\/l**(1\/2) assuming l is positive.\nAnswer: l**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 9414*i**3 - 17*i + 167*i**2 + 5*i - 14*i**4 + 16*i**4 - 9414*i**3 in the form r*i**2 + g*i**3 + a + t*i**4 + q*i and give r.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -136 - -1631\/12. Let y = 27 + -26. Sort 0.1, s, y in decreasing order.\nAnswer: y, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuii when four letters picked without replacement from {i: 3, u: 13}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(-2)*10\/20. Is 6 equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-5 - 4) - (0 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -13*h**2 + 14*h - 3180. Let m(o) = 3*o**2 - 3*o - 1. Give l(s) + 4*m(s).\nAnswer: -s**2 + 2*s - 3184","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.5. Let f = i + 2.2. Let v = -0.06 + -1.94. Which is the second biggest value? (a) v (b) 2\/9 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 486307, 972607, 1458903, 1945195, 2431483, 2917767, 3404047?\nAnswer: 3890323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 170 and 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y - y - y)*(-2 + 0 + 4 + (2 - 3 + 0)*(0 + 0 + 3) + 12 + 2 + 0) to v + m*y and give m.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*l = 291 - 1538, 3*w - 3*l - 1227 = 0. What is the greatest common factor of 118 and w?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 323 + -328. What is the nearest to 0.1 in r, -2\/3, -48?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193 - 64 + 279 = -27*y - 915 for y.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(5\/3)\/g**(-4))\/(g**6\/(g\/(g**(1\/8)\/g))) assuming g is positive.\nAnswer: g**(37\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnpz. What is prob of sequence nn?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*l = -21. Let x be 28*6\/24 - (14 - 1). Is x bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 3. Let c be (h\/2 - 4) + 22. Calculate the highest common factor of c and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -8.5. Let s = 81 + -319\/4. Which is the third biggest value? (a) r (b) s (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*p + 223 = 0, -2*q - 2*p + 35 + 55 = 0. Suppose -4*x + 109 = y, -5*x - 4*y = -q - 85. What is the remainder when 139 is divided by x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 - -3 - (-6 - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.48924 litres in millilitres?\nAnswer: 94489.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.8, 1, -280\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7625.59234 rounded to the nearest 100?\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8217 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q - 2. Let f be u(-1). Let m be f*1\/(-4) - -3. Sort -0.3, m, -0.2.\nAnswer: -0.3, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**6 + 21*k**4 + 94*k**2 - 4. Let f(p) = 15*p**6 + 60*p**4 + 282*p**2 - 11. Let o(i) = -4*f(i) + 11*u(i). Find the third derivative of o(q) wrt q.\nAnswer: -600*q**3 - 216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32514, 62572, 92626, 122676, 152722?\nAnswer: 182764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 5*a + 3*t, 5*a - 38 = -t + 54. Suppose -3*w - 685 = 2*w. Let l = w - -224. What is the remainder when l is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 241 + 137. What is the remainder when 60 is divided by x\/24 - 1\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.973 rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 216 in 2\/27, -8, 0, 0.2, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*((-13)\/(-26))\/((-4)\/16*2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t**3 - 3*t**2 + 5*t - 3. Let w(s) = -3*s**3 - 2*s**2 + 5*s - 2. Suppose -2*r + 2*l = l - 3, -5*l = 35. What is r*k(p) + 3*w(p)?\nAnswer: -3*p**3 + 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 5*x - 4. Let t(j) = -14*j + 13. Let i(n) = -11*f(n) - 4*t(n). Give i(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37031000 and 10700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 230 and 718750?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jegj when four letters picked without replacement from {e: 1, g: 1, j: 2, s: 1, z: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*l + 1. Let t = 6 + l. What is the derivative of -4 - h + t + 0 wrt h?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -37.2. Let m = o + 41. Let a = -0.3 - -0.4. What is the closest to a in m, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1863, -1848, -1821, -1776, -1707, -1608?\nAnswer: -1473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3736441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 + 52*h + 4864.\nAnswer: -2*(h - 64)*(h + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 301b26 - 3?\nAnswer: 301b23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 2, -5484, 34?\nAnswer: -5484","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1044750726?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 423 + -424. Let s(i) = -7*i**3 + 5*i**2 - 5. Let a(n) = n**3 - n**2 - n + 1. Give l*s(h) - 5*a(h).\nAnswer: 2*h**3 + 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 8:17 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*m - 3 = -m, -4*q = -3*m + 2. Let t be 3 + 7\/9 + -4. What is the closest to q in -4, 2, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26902396?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -267 - -266.9515. Let n = m + -67.9515. Do n and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-2)*(-8)\/(-6). Suppose 0 = -2*y - 4, -t*y - 2*y = -s + 11. Let p be s*-1*24\/(-9). Solve 3*j - p = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 3:23 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a + 4*a - 10. Let t = -2.4 - -0.4. Let j = t - -5. What is the third smallest value in a, j, 2\/23?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-8))\/((-2)\/20). Suppose 3*o = -5*x + 19, -4*o + 17 = o + x. Suppose -7 = 5*u + o. Is u at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7325, -7328, -7331, -7334, -7337?\nAnswer: -7340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6382847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-5*10\/400)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -246810, -248366, -250960, -254592, -259262, -264970, -271716?\n\"Answer: -519*r**2 + r - 246292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113944 (base 10) to base 9.\nAnswer: -183264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3971.37 to the nearest 100.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.4267, -1, -4\/3, -2.\nAnswer: -5, -2, -4\/3, -1, 0.4267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 10:25 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - o - 11, 2*o = -4*i - 0 - 2. Let k be (-2)\/((i\/(-5))\/1). Suppose -21 = -5*b - k*u + 14, 0 = -5*b - u + 35. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -92, -4\/5 in decreasing order.\nAnswer: 1\/7, -4\/5, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*k**6 + 3*k**5 + 4*k**4 + 6*k**2 + k - 282 wrt k?\nAnswer: 960*k**3 + 180*k**2 + 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4655 - 2476. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2212, 4402, 6606, 8830, 11080, 13362, 15682, 18046?\nAnswer: 20460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by (89 - -2) + (-37 - -31)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -268.69?\nAnswer: 268.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*b + 10 = 0. Let q = 9 + b. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1070*r + 1399*r + 7896 = 0 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2205 - 2205.2. Which is the closest to 0? (a) 4\/9 (b) -2\/11 (c) -2 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84218 divided by -4.\nAnswer: -42109\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14\/3, 0.2, -5\/14, 3?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 592, -4, 3, 2\/7 in increasing order.\nAnswer: -4, 2\/7, 3, 592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -79 - -84. Which is the closest to 0? (a) g (b) 12 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 309036.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2397 + -225319\/94. Put q, 3, -4, -0.2 in ascending order.\nAnswer: -4, -0.2, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4982 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -77*y**5\/20 + 6*y**4 + y**3\/3 + 89*y**2. What is the second derivative of u(k) wrt k?\nAnswer: -462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*c**2 + 87 - 87 + (c**2 - 3*c + 3*c)*(1 - 1 - 1) to k*c + x + n*c**2 and give n.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqfqqqfq. Give prob of picking 3 q.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 51 + 85*a.\nAnswer: 85*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 10:21 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -12312\/3589 and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-38)\/7 + 12\/(-21). Let l be (-120)\/(-16) + t\/4. Let y(n) = -2*n**3 - 6*n**2 + 3*n + 7. Let r(u) = 2*u**3 + 7*u**2 - 3*u - 8. What is l*r(x) + 7*y(x)?\nAnswer: -2*x**3 + 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -95*y**2 - 3010*y - 22200.\nAnswer: -5*(y + 20)*(19*y + 222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61 by 97.\nAnswer: -61\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 6:46 AM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53777\/6 + 8925. Let w = -38 - y. Sort 1, 4, w, -0.4 in ascending order.\nAnswer: -0.4, w, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**2*r**2 + 492*l**2*r - 2*l**2 - l*r**2 - 3062*r**2 wrt l?\nAnswer: 4*r**2 + 984*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -5\/2, -7.9, 0.7, -0.06 in descending order.\nAnswer: 0.7, -0.06, -0.5, -5\/2, -7.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1134 = -12489*w + 12552*w for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 16.1. Let o = x - 8.7. What is o rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.18 - 0.08. Let p = 0.074 - r. Round p to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2733*z**6 + 701*z**2.\nAnswer: -327960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1764.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 9:07 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/17 + 14*j**3\/17.\nAnswer: 2*j**3*(j + 7)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -7 + (19 - 6) + -6 - 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 2*a + 116 = 28, -12*u + 6*a + 220 = -8*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -674*n - 22. Let o(r) = -r + 2278. Give j(o(g)).\nAnswer: 674*g - 1535394","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30882 + -146.\nAnswer: -31028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1221 and 191031?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 1178673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19762 = -30*w + 5588. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {w: 5, d: 2, u: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 5 - 5)*(-4*l + 3*l - l + (2*l + 3*l - 6*l)*(-1 + 1 + 1) - l - l + l).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3637*d**3 - d**2 + 612*d + 54. Let y(z) = -7273*z**3 + 2*z**2 - 1224*z - 90. Let h(a) = -5*l(a) - 3*y(a). What is the third derivative of h(w) wrt w?\nAnswer: 21804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1 (b) -0.4 (c) -8\/13849 (d) -1\/4 (e) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*(1*1*sqrt(17) - (sqrt(272) + -1)**2)*3*2.\nAnswer: -6552 + 216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 + 13*d + 17 + 16*d**2 - 2*d**3 + 3*d**3. Let h be l(17). Let p = -21 - h. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*q + 45. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 - 19. Let n(d) = -3*d**2 + 28. Calculate -7*a(z) - 5*n(z).\nAnswer: z**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (8 + 10 - 20) + 19\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 196 = 5*n, -n - 224 = -2*w - 3*n. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 + 93*u - 48*u - 45*u.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11048?\nAnswer: 2, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*v - 39 = 5*v, 0 = -5*v - 15. Let r = -9 + u. What is the nearest to -2 in r, -1\/4, 2\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 0 - 8*h**2 + 0*h - 8\/3*h**3 + 13\/12*h**4. Let t(r) = 5*r - 3. What is 3*k(x) - 16*t(x)?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, s: 1, o: 6, a: 2, z: 1}. What is prob of sequence al?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 29*i - i**2 - 17\/5*i**5 + 13 + 0*i**4 + 0*i**3. Find the second derivative of r(h) wrt h.\nAnswer: -204*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 180811 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-7)*d*d)\/(d\/(d\/(d*(d*d**9)\/d)))*d\/(d*d**12*d*d)*d*d**24)**(-7) assuming d is positive.\nAnswer: d**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92763 = 45*k + 29313. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -938 + -47648?\nAnswer: -48485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**3 + q**2 + 48*q - 229. Calculate j(4).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 8:53 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 1)\/(1\/27). Let x = 76 - c. Let t = x + -47. Solve -t*b + 10 = 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-10))\/((-72)\/(-45)*33\/198).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**7)\/(((y\/(y*y\/y**(-1\/7)))\/y)\/y))\/(y*(y*((y**5*y)\/y)\/y*y*y)\/y*y*y*y**(2\/5)*y))\/(y\/(y\/((y*y**(-8))\/y))*y**2)**(-28) assuming y is positive.\nAnswer: y**(-6344\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/9 + 2093942*o**2\/9 - 16751248*o\/3 + 33502304.\nAnswer: -2*(o - 1046947)*(o - 12)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -297*d - 159.\nAnswer: -297","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2 = 2*h + 3*r, 3*h = 4*r - 2. Suppose -4*z - 12 = -w, 4*w + 2*z + 8 = 5*w. Differentiate b**3 - 2*b**3 - w + h with respect to b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -306*r + 1659898 - 1659898 in the form l*r + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -39*c + 86 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 4:42 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -43*k**2 - 5094*k + 15274. Determine i(3).\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -221 + 225. Suppose q*g + 3*c = 1, c - 5*c = 4*g. Let p(i) = 2*i**3 - 6*i - 6. Let n(y) = y**3 - y - 1. Give g*p(k) - 6*n(k).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68701\/24 + -5725\/2. Let j(d) be the third derivative of -1\/2*d**3 - r*d**4 + 0 + 0*d + 7*d**2. Determine j(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -617f6a (base 16) to base 14.\nAnswer: -bc480a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -504*v - 386*v + 15*v.\nAnswer: -875*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*w + 3 + 28 = 0, 0 = 2*d + 4*w + 14. Is (-247)\/((-2 - d) + -8) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(12) - (sqrt(1728) - sqrt(1728)*-3))\/(sqrt(180)\/sqrt(5)).\nAnswer: 94*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*v**2 - 3*v + 62*v**2 + 74*v**2 + 81*v**2 - 23*v**2 as q*v + l*v**2 + f and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2102 - 2162. Is c less than -0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 7:12 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**4 + 2*k - 2*k + (5*k**2 + k**2 - 2*k**2)*(-175 - 40*k**2 + 175) to r*k**2 + g*k + v + s*k**3 + b*k**4 and give b.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 59934 divided by -6?\nAnswer: -9989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 59 + 83 = 0. Let f(l) = -l**2 + 6*l - 8. Let p be f(h). What are the prime factors of (163 - 0)\/((-5 - p)\/(-5))?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 150*p**2 + 1013*p - 151951. What is y(150)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*d + 112 - 40, 0 = -o - 5. What is the remainder when 320 is divided by d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-8)\/3)*(-291)\/(-873)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*m = 6. Suppose 6*d - m*d - 44 = 0. Calculate the remainder when (-2 - 1) + 4 + 18 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -32?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 165 = -231. Let w be s\/165 + (-533)\/(-5). Which is greater: 107 or w?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 1.15?\nAnswer: -5.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 90? (a) 0.4 (b) 30\/7 (c) -5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 8 + 0 - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 211 + -211.00000245. What is m rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-67060)\/56*(-2)\/5. Let d = i - 168. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 16*k**3 + 6*k**2 - 6*k + 23. Let w(m) = -17*m**3 - 7*m**2 + 7*m - 22. Let f(l) = 6*w(l) + 7*x(l). Differentiate f(d) with respect to d.\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23258486*n**6 + 4*n**2 - 9*n + 26850 wrt n?\nAnswer: 2791018320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 - -2 - (-29 + -7 + 31)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70135?\nAnswer: 5, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.7 + -2.3. Let k = 21 + b. Let a = k + -17. Which is smaller: -2\/55 or a?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 1388354740?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t = -15*t. Solve 4*w + 2*i = 12, 5*i = -t*w - 2*w - 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j**2 - 4810685 + 4810685 + 9*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69898 is divided by 272.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.473 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 51865742 to the power of 1\/2, to the nearest integer?\nAnswer: 7202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 117, 264, 471, 738, 1065, 1452?\nAnswer: 1899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 - 65. Suppose j - 148 = 5*j + 5*b, 185 = -5*j - q*b. Let m = j + 43. Let w(y) = -y**2 + 6*y + 8. Give w(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**4 + 3*r**4 + 3*r**4 + (25 - 25 + 5*r**3)*(-6*r + 0*r + 2*r).\nAnswer: -18*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -6*(sqrt(200) + -2 + sqrt(200)))*-1)**2.\nAnswer: -1680*sqrt(2) + 28849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 53\/6, -1, 5\/4?\nAnswer: 53\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 15) to base 7.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/1)\/((-1)\/(-4)). Suppose -l = -w - 13. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12495 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, r: 5, z: 2, f: 2, l: 2, c: 1}. Give prob of sequence fdd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4971?\nAnswer: 3, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24371927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f + -5?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1209332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/2 - -151) + (-2)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1107, -2209, -3313, -4419, -5527, -6637, -7749?\n\"Answer: -j**2 - 1099*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31512*v + 1020 = -31482*v. Which is the closest to v? (a) 1\/3 (b) 0.5 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -523 divided by 32?\nAnswer: -523\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/16*8\/(-4))\/(-12*7\/(-6608)).\nAnswer: 59\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + q + 0*q - 18 = 0, 10 = -5*q. What is the tens digit of 31*(0 - n)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310.3 rounded to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 11:53 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13634, 13631, 13618, 13589, 13538, 13459, 13346?\nAnswer: 13193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 - (-15 - (8 - 49))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 356677 is divided by 71326?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7278 less than or equal to 7298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/30)\/4 - 0\/23.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**6\/2 - 2*r**4 - 59*r**2 - r - 195. What is the second derivative of i(o) wrt o?\nAnswer: -60*o**3 - 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tttutquqtuuttutuuqt?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 2978750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1000001000101101 (base 2) to base 7\nAnswer: 166105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42430931.7 rounded to the nearest 1000?\nAnswer: 42431000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -38*j + 70. Let g(u) = -136 - 78*u + 392 - 116. Let v(n) = 5*c(n) - 3*g(n). Find the first derivative of v(x) wrt x.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 258*o - 255*o + 3*o**2 - 1 - 2. Let z(k) = -k**3 - 2*k**2 - 2*k + 2. Give -2*j(h) - 3*z(h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 586492 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/(-2))\/(8\/(-16)). Suppose -2*d - 2*l + l + 22 = 0, 2*d + u*l - 38 = 0. Calculate the remainder when 26 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -1 - (71 - 5) - (-303 - -290).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -49 + 70 - 28\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3308.33 rounded to the nearest 100?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of o**4\/32 + o**3\/6 - o**2 - 1456*o. Factor g(t).\nAnswer: (t + 4)*(3*t - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 9 + 20*s + 5*s**3 - s**2 + 0*s**2 + 2*s**2 - 19*s + 2*s**2. Let t(a) = a**3 + a**2 + a + 1. Determine o(z) - 3*t(z).\nAnswer: 2*z**3 - 2*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7170?\nAnswer: 2, 3, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5\/3 - 7042*n**4\/3 + 14114*n**3 + 63458*n**2\/3 - 98756*n\/3 = 0 for n.\nAnswer: -3527, -2, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -13*o. Let h(m) = 3841*m + 3. Give h(f(q)).\nAnswer: -49933*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.04 (b) 1\/7 (c) -2\/5 (d) -4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 4*o + 4, 0*d = -2*o + 3*d - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**6*a*a*a\/(a**(-15\/4)\/a*a))\/(a**(-6\/5))**(-22) assuming a is positive.\nAnswer: a**(-253\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, y: 5, a: 1, b: 3}. Give prob of sequence yq.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkiiii. Give prob of picking 1 k and 3 i.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - f = -6, -4*f + 409 = 9*k - 3*k + 457 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 - 30 + n - 37 - 58.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 6*g = -2*g - 32, g = 4. Let t be c\/(-90)*12\/(-56). Let h = 24\/35 - t. What is the third biggest value in -2\/5, h, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 0*v - 1 - 3*v. Let j = 101 - 98. Calculate x(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19392, 77764, 175050, 311250?\nAnswer: 486364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 23 = 4*v, 74*v - 79*v + 134 = 4*t. Let h(z) be the first derivative of -31\/3*z**3 + 0*z - 29\/2*z**2 - t. Find the second derivative of h(l) wrt l.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -21*c - 1 + 7 - 6 + 2. Let f be d(-18). Let q = f + -219. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 19*y + 3. Calculate b(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 + -44. Suppose x*g - 746 - 1096 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 7*a**2 - a - 2. Suppose -11 = -5*s - 21. Calculate the remainder when 109 is divided by o(s).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 less than 24601817.27?\nAnswer: 24601819.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 4*w - 16 + 26, 5*w = -25 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**4\/6 + 2*p + 2. Let b(w) be the first derivative of i(w). Let y(d) = 2*d + 9 - 9. Calculate b(y(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + sqrt(5) + 5).\nAnswer: -15 - 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000021641 rounded to seven decimal places?\nAnswer: 0.0000216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a second in milliseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**8\/(s\/((s*s**3)\/s))*(s\/s**(4\/5))\/s**(-6)*((s**(7\/3)*s)\/s**2)**(-25) assuming s is positive.\nAnswer: s**(-257\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 40136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/9)\/4 - ((-11)\/(-21))\/(4044\/179284).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**5\/20 + h**4\/2 + h**3\/2 - h**2 - 7*h + 8. Calculate t(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -588, -1138, -1692, -2250, -2812, -3378, -3948?\n\"Answer: -2*n**2 - 544*n - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from edskekjjjej. What is prob of sequence ejkd?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 6*k**2 - 4*k - 3. Let r be n(5). Let u be 2 + -3 + r + 3. Suppose 2*d + 2*g = 12, d + u*g - 18 = -2*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 800*b. Let i be c(5). Let t be (6*i)\/(7\/(-2625)). Round t to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + 1 + 8 + (31 - 52 - -8)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3025\/8 + -378. Let p(y) be the first derivative of -h*y**2 - 1 - 1\/2*y + 1\/12*y**3. Determine k, given that p(k) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 + 0 = 0. Let s = -0.29 + 0.19. Let v = 11 - 6. Which is the nearest to -2? (a) v (b) u (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 11. Let a(l) = l - 11. Let y = 7 + -3. Let d(k) = y*a(k) - 5*x(k). What are the prime factors of d(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6268 plus 37973966?\nAnswer: 37973964.3732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6645939248?\nAnswer: 2, 13, 31951631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -5*d**4\/4 + 15*d**3 - 60*d**2 + 80*d - 231. Factor o(m).\nAnswer: -5*(m - 4)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 268 and 6629851.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 8*p**2 - 8*p - 3. Suppose -26 - 9 = 5*s. Let z be k(s). Factor -z + 2 + i**2 + 1.\nAnswer: (i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.224*33.\nAnswer: -7.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3894243709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 29*k - 103. What is the remainder when 4296 is divided by n(24)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4317088 and 188.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -105026293*p**3 + 2*p**2 + 294418357?\nAnswer: -315078879*p**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 23212 = 17*q - 80240, 16756 = 5*q + c. Calculate the remainder when q is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + 12 + -5 + -2 + 19 + -21?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33044 (base 12) in base 9?\nAnswer: -112457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/(-5))\/((-1)\/22))\/((-54)\/45)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 0*n = -5*q, n = -4*q + 7 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6120844100 rounded to the nearest one million?\nAnswer: -6121000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - d + 2. Let r be j(0). Suppose 0 - r = -v. What is the first derivative of v + 5*l**4 - 3*l + 3*l - 2*l**4 wrt l?\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in -6, 0.8, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1289 + 4?\nAnswer: 128d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -2\/3*o**3 + 0*o + 1\/24*o**4 + 0 + 6*o**2. Let k be p(9). Solve 0 = -0*b + 2*b + 5*l - 5, -23 = -k*b - 2*l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -225 in decreasing order.\nAnswer: 5, 3, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38047 is divided by 6322.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/6)*h*h*h**(2\/19)*h**6\/h**(3\/5) assuming h is positive.\nAnswer: h**(4373\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 129312929*s**2 - 261001021?\nAnswer: 258625858*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oozozozzoo. Give prob of picking 4 o.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 806 + -295. List the prime factors of j.\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 6 = -2*h + 8, 4*n - 3*h = 19. Let p be 3\/3*1\/n. What is the third smallest value in -2\/7, -0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**3\/3 + 2*y**2 - y - 2. Determine k(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d**2 + 7*d + 9. Let o be t(-4). Let h = o + 61. Let n = 4 - h. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**3\/3 + 3*j**2 - 5*j - 1. Suppose 6*a + 57 - 21 = 0. Give x(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 6309 = -2585. Let c be (-2)\/1 + y\/190. Solve 4\/5*d**2 - c*d - 8\/5 = 0 for d.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3)*a*a**(1\/3)\/a assuming a is positive.\nAnswer: a**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 143 = 4*t + 2*g, -g - 4 = 0. Suppose 6*v - 5*c = 5*v + 8, 3*v = 2*c + t. Calculate the least common multiple of v and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 841186\/405 - 2077. What is the common denominator of -18\/5 and j?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*p + 3*i - 19, 2*p = 4*i - 16. Let w = -20 - p. Is 12 a factor of 6\/(-18) - 362\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1302 + 3?\nAnswer: -1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6.1 in -3, 0.12, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6 + 3 = 0. Suppose 0 = j + u*g - 4, j = 3*g - 2. What is the remainder when 2 is divided by (j - 0) + (-4)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5\/(15\/1878) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 2\/11, -3, -5, -26 in descending order.\nAnswer: 43, 2\/11, -3, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 219*z**2 + 131*z**2 - 105*z**2 + (-2 - 2 + 6)*(0*z**2 - 2*z**2 + 0*z**2) - 2*z**2 - 2*z + 2*z - 4*z**2 + 5 - 5 - 2*z**2 + 0*z + 0*z.\nAnswer: 233*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v = 25*v + 18 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -21. Suppose -o*q = q - 102. What is the remainder when 99 is divided by q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10177 + -10173. Let z = 7 - 6.2. Let m = 0.2 + z. Which is the third smallest value? (a) m (b) r (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -111 - -203. Suppose -2*k = 7 - 13. Suppose k*b - x = -b. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12177 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-9) - 304\/(-72). Let d be 9\/(-3) + 1 + v. Let q be (-160)\/168 - 1*-1. Which is the biggest value? (a) -4 (b) q (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c*i**2*k**2 + 3*c*i*k + 4*c*k + 3*c*z + 119*i**2*k**2 - 34*i**2*k*z - i*k**2 + 11 wrt i.\nAnswer: -2*c*k**2 + 238*k**2 - 68*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 10*m - 16. Let b be t(-16). Let o = -74 + b. Let h(y) = -y**3 - 4*y**2 - 2*y - 4. Let x be h(-4). Solve 5*r = o + x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**2 + 20*c + 3. Let b be n(-5). Let m(h) = 2*h**3 - 2*h**2 - 2*h - 4. Calculate m(b).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62430790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/2 and 69\/206120.\nAnswer: 206120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -53a4 (base 12) to base 9\nAnswer: -13547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55068145.\nAnswer: 5, 11, 251, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*h + 117 = 342, -l = h - 76. Calculate the remainder when 269 is divided by l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/(-12)*9*1. Solve 3*m + 10 + c = -z, 2*m + 16 = -2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-8) + 33\/12. Suppose d*u - u = -8. List the prime factors of 3 - (-6)\/(u\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wiw. Give prob of sequence wi.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1482*o + 1487*o - 1 + 1.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 12*m + 1000. Let x be 2\/((-145)\/(-49) - 3). Let b = x - m. Calculate the remainder when b is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 74340 and 420.\nAnswer: 74340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - -8. What are the prime factors of s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.802 * 16\nAnswer: -12.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 9:02 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 63*r - 330. Calculate d(-5).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.7409t to kilograms.\nAnswer: 98740.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 330929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 341773*q**3 - 27*q**2 - 67*q - 12206?\nAnswer: 2050638*q - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444183 is divided by 5550?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382*p - 235 = -4*o - 383*p, 110 = 2*o + 2*p for o.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*u = -36, 81*u - 79*u + 6 = 0. Find x, given that -133 - 36*x**2 + 65 + 68 + x**3 + q*x**2 = 0.\nAnswer: 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -74*g - 102. Does 2 divide t(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 144 = 6*y. Calculate the remainder when 94 is divided by y.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -124402, -248678, -372964, -497266, -621590, -745942, -870328, -994754?\n\"Answer: -d**3 + d**2 - 124272*d - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c - 1. Let j(p) = 5*p - 6. Let v(u) = 6*b(u) - j(u). Let x(g) be the second derivative of 0 + 0*g**2 + 0*g**3 - 3*g + 1\/12*g**4. What is v(x(w))?\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**3 + 4*s**2 - 7*s + 15. What are the prime factors of l(5)?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -221724, -0.1, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**3 - j**3 + 5*j**3 + (-3*j - 2 + 2)*(3*j**2 - 5*j**2 - 2*j**2).\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5135679, -5135557, -5135435, -5135313, -5135191?\nAnswer: -5135069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.98 - 0.02. Let l = o - -5.32. Let f = l + 0.08. What is the smallest value in 3, f, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001001 - -110010110000000000?\nAnswer: 110010110001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -45, -41, -37, -33?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 1) + 2 + (80 - 74)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.211 + -316.789. What is the biggest value in 4, -1, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5489.045959 + 0.1\nAnswer: 5489.145959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (0*(-2)\/(-10))\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x**2 + 3. Let s be (1 - 39\/45) + (-112)\/(-60). Let i(l) = -10*l + 0*l + 6*l + s*l. Give d(i(r)).\nAnswer: -24*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 2. Let l be f(-7). Let x(r) = -r**3 + 10*r**2 - 7*r - 1. List the prime factors of x(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 6906*x**2 - 24*x + 35. Is c(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57662192 to the nearest integer?\nAnswer: 7594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 2)*(-3 - 1 + 5) + 2 + 3 - 4)*(373397 - 571*d - 373397 + 3*d**2).\nAnswer: 12*d**2 - 2284*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0 = 2*l - 10, -2*l + 4*b = -16. Let c = 5 - 9. Sort 3, c, l in decreasing order.\nAnswer: l, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 15*o**2 - 58*o + 14. Give t(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 4:13 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3.8 times -784996\nAnswer: -2982984.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 22, 70, 180, 382, 706?\n\"Answer: 5*w**3 + w**2 + 10*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33.85 + 29.85. Let h(n) = -n + 6. Let o be h(6). Suppose o = z - 2 - 5. What is the second biggest value in g, z, 0.5, -5\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9099 - -9102. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7170 and 156102.\nAnswer: 186541890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 times -0.05?\nAnswer: -2.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 235538 to the power of 1\/2, to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 8*p - 3. Determine w(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -8 + 5)\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -290, -580, -870, -1160?\nAnswer: -1450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/51 and 85\/120687.\nAnswer: 2051679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 33*i - 259. Let n be a(8). Suppose n*j + 3*l = 177 + 106, -5*l + 173 = 3*j. Calculate the least common multiple of 70 and j.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**5 - 1497*a**4 + 480186*a**3 = 0.\nAnswer: -721, 0, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnnnnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 94 + -134. Let f = 134 + m. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1089, -2161, -3233, -4305?\nAnswer: -5377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -51*r - 21. Let d(h) = 5*h + 2. Let j(n) = 2*n**2. Let f be j(-1). Let s(l) = f*t(l) + 21*d(l). Let m(c) = 10*c**2. Determine m(s(k)).\nAnswer: 90*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 0 + 4*r**2 - 7*r + r**2 - 2 - 3. Let a be x(-6). Let u be (4*4\/16)\/a. Sort -5, 2, u.\nAnswer: -5, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10630.\nAnswer: 2, 5, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 8*f**2 + 3*f + 17. Let r(q) = 9*q**2 + 4*q + 18. Let z(i) = -4*d(i) + 3*r(i). Differentiate z(c) with respect to c.\nAnswer: -10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/27 + 777\/27. Let h = 86 - g. Let b = 29 + -17. What is the remainder when h is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(3\/2))\/(r*r*r**(-1\/3)))**(-2\/47)\/((r**1)**(-3))**(-7) assuming r is positive.\nAnswer: r**(-2966\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15864*t = 15821*t - 1677 for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, 4\/7, 1889, 5, 0.3, -4 in decreasing order.\nAnswer: 1889, 5, 4\/7, 0.3, -4, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i = -16*i - 25*i + 1121 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2611 - -2620. Solve -l*b + 14*b + g - 22 = 0, -21 = -3*b + 2*g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 1889 - 20764\/11. Find the common denominator of v and 69\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200843 at most 200842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73081 = 19*i - 201825. List the prime factors of i.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j. Let m(s) = -5*s. Let w(d) = -6*i(d) + 5*m(d). Let x(k) = 13*k + 0*k - 10*k - 5*k. What is x(w(y))?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -76 in 0.4, 0.1, -5, 2\/13?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j**2 - 227*j + 2147. Determine a(32).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38783 is divided by 468?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 22 + 0*d**2 - 1\/28*d**4 - 1\/14*d**3 + 10*d. Let g(c) be the first derivative of w(c). Factor g(r).\nAnswer: -3*r*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*g + 250 = -26*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -3*r. Suppose 0 = -3*i - 2*i + 25. Suppose r = i*b + 5, 8*y - 4*y - 27 = 3*b. Calculate the greatest common divisor of y and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 82 = -2*h + 4*s, -2*s = -4. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*n + 2*n - 16, 5*g - 5*n - 60 = 0. Let p(l) = -17*l - 30*l + g*l + 2*l. Let w(f) = f**2. Calculate w(p(r)).\nAnswer: 1225*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*k + 216*k = 93*k + 252 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*k + 1568. Let g be -2 + (-24)\/(-10) - k\/(-10). Let x = g - -25. Which is the second biggest value? (a) -25 (b) -0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -0.40266368?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20118 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 d when four letters picked without replacement from dodod?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 3*z**2 + 2*z + 3. Let t(h) = -h**2 + 2*h + 1. Suppose 6*r + 5 = r. Let j be t(r). Let o be f(j). Solve -o*x - q = 6, 0*q + q = 2*x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**8\/84 + 8*a**7\/35 - 49*a**6\/30 + 6*a**5 - 38*a**4\/3 + 16*a**3 - 50*a**2. Let v(h) = 0. Calculate h.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 4*b - 44204, 4*c + 2*b = 2*c - 29488. Round c to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22852, -96825, -220114, -392719, -614640, -885877, -1206430?\n\"Answer: -24658*n**2 + n + 1805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**2 - 74. Let n(y) = 6*y. Determine n(f(h)).\nAnswer: -12*h**2 - 444","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 80 = 52*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 13 - 9 = 2*v, 2*v = -5*i + 12. Which is the second smallest value? (a) 276 (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 5*b - b)*(2949 + 1427 - 845 + 1780 - 1494).\nAnswer: 3817*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - 12 - 15) + -14.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31849063.\nAnswer: 1543, 20641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5 - 1355905*f**4 + 459621626107*f**3 - 1378852675199*f**2 - 5423608*f + 1838470233604 = 0. What is f?\nAnswer: -1, 2, 677951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 5*l + 2*q + 55 = 0, 2*l = -q + 13. Solve 5*z - 70 = -l*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(1 - -1) + (2 - 5). Let m be (0 + -2)*(2 + -4). Suppose -m*k + 3*k = -w. Solve -7 = -2*q + z + 1, -3*q + k*z + 11 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13469069797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 + 6*n + 2. Let p be d(3). Which is the biggest value? (a) p (b) -6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 128679483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-159)\/12*(-10 + 6). Let u = -11 + h. What is the remainder when u is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 9. Calculate f(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-25)*-9)\/(2\/(-10)). Suppose 27 = 6*j - k. Let f(d) = d + 18. What is the tens digit of f(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 175 = 25. Let g = 79 - m. Solve 3*f + 8 = -g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 12:21 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 778962148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {i: 9, p: 2}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(192))*-4 - sqrt(240)\/((-1*sqrt(15))\/sqrt(3)).\nAnswer: -28*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -5*m**4\/24 - 13*m**3\/6 - 5*m**2. Let f be j(-3). Is ((-317)\/f)\/((-1)\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2346 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-10)*14\/((-560)\/900)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 2. Sort 5, b, -3.\nAnswer: -3, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387*r + 393*r = -3786. Let u = 1251 + r. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -m**6\/6 + m**4\/2 - m**2\/2 + 16. Factor s(x).\nAnswer: -x*(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*o - 350, 3*q - 78 + 8 = -o. List the prime factors of o.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 1651\nAnswer: 8\/1651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1953583 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -843, -857, -883, -927, -995, -1093?\n\"Answer: -n**3 - 7*n - 835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**2\/11 - 171894*p\/11 + 59576904\/11 = 0.\nAnswer: 348, 85599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*l - 9, -t = -l + 3 - 2. Let v = 2.1 - 0.1. Let z = 100\/3 - 35. What is the smallest value in v, z, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -465074 (base 10) to base 2\nAnswer: -1110001100010110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 2*b + 2*b)*(0*b**2 + b**2 + 0*b**2 - b**2 + b**2 + b**2 + (-1 - 4 + 7)*(b**2 - b**2 + b**2) - b + b + 2*b**2 + 2*b + 2*b**2 - 2*b).\nAnswer: 32*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-180)\/35*1047501\/(-78).\nAnswer: 2, 3, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4890\/78119 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 752513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 10743.9075 milliseconds?\nAnswer: 0.00012435078125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**3 - 76*p**2 + p + 23. Let t be x(-19). Let u be 10\/t*550\/55. Solve 5\/3*q**5 + 15*q**2 + 0*q + 0 + 35\/3*q**4 + u*q**3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 526*j**6 + 29*j**2 + j.\nAnswer: 63120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 6 = 4*r - 84, 0 = -5*j - 10. Calculate the remainder when r is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 261 + 54. Suppose 2*s = 13 + u. Suppose 0 = -7*l + 22*l - 360. Solve l = -y - 4*n, s = -4*y - 4*n + 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 11*a = -4*x + 5, -4*x = a - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 5 = -o + 12, 0 = -4*o - 4*n + 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (282\/(-18) + 13)*(6\/(-4) + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/11 - ((-46)\/11 - -4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21379868*j*x**3 - 82*j*x**2 - 2124*j + x**2 + x + 71 wrt x?\nAnswer: 128279208*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 13. Let u = l + -14.9. Let a = -2.1 + u. Which is smaller: a or -2\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 200 = -9*q. Let t be (24\/15)\/((4\/q)\/1). Solve t = -7*f + 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 255769008?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -41*c**2\/2 + 12*c - 17. What is the derivative of s(z) wrt z?\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4 + sqrt(76) + 3)*2 + 3)*6)**2.\nAnswer: 288*sqrt(19) + 10980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.62 - -54.08. Let m = h + -8.7. Let r = 61.0000037 - m. What is r rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11*3\/9*-3. Let m(f) = -f**2 - 7*f + 27. Let s be m(p). Let z be ((-1)\/(-2))\/(s\/34). Is 1\/23 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.72 + -0.28. Which is greater: -0.1 or r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -3*10\/(-15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 2*r**2 - 10*r + 7. Let g be y(1). Solve -33*m + 35*m = g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 + 5)*(-2 + 1). Let a be l\/(((-1)\/2)\/(10\/4)). Suppose 55 = 4*c + 11. Solve -a*v - 4*m = -c, 4*m + 0*m = -3*v + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 p when two letters picked without replacement from fslpllsl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/70 and (-499)\/855 - (-338)\/(-3211)?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**3 + 1. Let t be x(-1). Suppose t*i - 5 = b, -5*b = -2*i - 0*b + 7. Sort i, -2, 2 in descending order.\nAnswer: 2, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(-2\/7)))\/(((t*t\/t**(-1))\/t)\/t))**44*((t\/(t*t*((((t*t*(t**(-1)*t)\/t)\/t*t*t)\/t)\/t)\/t*t*t*t))\/(t\/t**(-8)))**(35\/2) assuming t is positive.\nAnswer: t**(-1690\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2335 is divided by 123?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32528, 22596, 12666, 2738, -7188, -17112, -27034?\nAnswer: -36954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28148321\/40238 - 7695\/11. Which is bigger: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 86 + 32 = 0. Let t = 174 - 174. Let v be (-9)\/6*(-24 - (-682)\/33). Solve -d + 3*d = 2*r - 6, -2*r + v*d + p = t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 8*s**3\/3 - 8*s**2 + 8*s - 1452. Let o = 8 + -1. Does 18 divide a(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -245, 6, 13 in descending order.\nAnswer: 13, 6, -1, -2, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 + 0)*(6*s**2 - 11*s**3 - 6*s**2) - 6*s**3 + 0*s**3 + 0*s**3.\nAnswer: -61*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1019, 1352, 1683, 2012, 2339, 2664, 2987?\nAnswer: 3308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeeg when four letters picked without replacement from {y: 3, a: 2, e: 3, c: 2, g: 1, n: 1}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1080, -2524, -3968, -5412?\nAnswer: -6856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/3 (b) 18222 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11357204 plus 0.55?\nAnswer: -11357203.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68255*s = -68286*s - 1147 for s.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -148*h**2*i*o + 149*h**2*l**2 + 2*h**2*l*o - h**2*l + h*i*l**2 - h*i*o**2 + h*o**2 wrt i?\nAnswer: -148*h**2*o + h*l**2 - h*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.535 from -4.\nAnswer: 3.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4769 is divided by 67.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -13.9. Let s = x - -1.2. Let w = s + 0.6. Which is the second smallest value? (a) -4 (b) w (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*6\/45*-5. Is 5\/9 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 13. Let v be w(-17). Suppose -3*z + v*z - 18 = 0. Solve d - b = 0, -b = 4*d + 4*b + z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 6*a**2 + 8*a - 7. Let d be i(7). Suppose d*n + n + 1 = 0. Let q(u) = -6*u**3 + u. What is the remainder when 8 is divided by q(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 93, 2, -1\/6, 1107?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31 - (34 - 71)) + (-15 - 3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 37 - 125*j + 60 - 55. Let u be l(5). What is u rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3*6\/12)\/(-5))\/(54\/(-10))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17719, 70852, 159335, 283156, 442303, 636764, 866527, 1131580?\nAnswer: 1431911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldbo when four letters picked without replacement from {z: 1, o: 6, d: 1, b: 1, i: 1, l: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 46722 - 249262 = 0. Suppose -44902 = x - 6*x - 2*k, -2*x - k = -17961. Let w = x + r. Round w to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 - 1731*d + 0*d**2 - 366*d**3 + 373*d**3.\nAnswer: 7*d**3 - 1731*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*j + 24*j = -24*j - 648 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + (sqrt(52)*4)**2)*6 + -5)*-3.\nAnswer: -90165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 732?\nAnswer: -1\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + sqrt(102) + -1*sqrt(102)*-2)\/(sqrt(216)*2) - ((sqrt(187) - (sqrt(187) + -2*sqrt(187)*-1))\/(2*sqrt(11)*-2))**2.\nAnswer: -17\/4 + sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 5*m**2 - 5*m + 5. Let b be y(-6). Let z be 11\/(132\/8)*3*178. Let j = z + -351. Put j, -5, b in increasing order.\nAnswer: -5, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -710877127 >= -710877126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4267, 4469, 4671, 4873, 5075?\nAnswer: 5277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2770 divided by 16\nAnswer: 1385\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 + -1.8. Which is the second biggest value? (a) -4 (b) -0.4 (c) n (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 6. Suppose -461*x + 42 = -440*x. Give k(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 6*z + 3. Let c be 6\/(-2) - 49\/(-7). Determine x(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -6434?\nAnswer: 6442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/42)\/((-40)\/42)*13\/(-78)*-68?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 1573 - 48 = -z, -5*h - z = -2703. Calculate the remainder when h is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 192955 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.2, 0.4, 4.9, 0.63?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4.18242 decades?\nAnswer: 41.8242","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 587584*r**2. Let b(j) = j**2. Determine b(a(x)).\nAnswer: 345254957056*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34029379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a + 15. Let g = -50 + 44. What is the remainder when f(g) is divided by 28\/(-126) - (-328)\/18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j + 3*j - 5*j + j**2 - 2*j. Calculate the remainder when 31 is divided by o(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10020 - 5076. What is the highest common divisor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 2*r**6\/15 + r**5\/10 + 31*r**3\/6 + 22*r - 1. What is the second derivative of z(n) wrt n?\nAnswer: 48*n**2 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 3, 4 in ascending order.\nAnswer: -49, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1577 = -h - 196. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.16 and 0.10555.\nAnswer: 0.26555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*(sqrt(450) + (sqrt(450) - (sqrt(450)*-3 + sqrt(450))) + sqrt(450))*3)\/((sqrt(108) - 6*2*sqrt(108))\/sqrt(12)))**2.\nAnswer: 720000\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and -2956.5?\nAnswer: -50260.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 7*t - 2. Let z be -3 + (-30)\/(-6) - -1*1. Suppose -2*u = 5*c + 39, 0*c = -2*u + z*c + 1. Determine o(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 4:34 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 3*h - 8 - 7, -3*w - 12 = -2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 82494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 70502423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kooopkoppbppppp. What is prob of sequence kb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -153\/395 - 1\/79. What is the nearest to 1\/3 in -5, o, 1.01?\nAnswer: 1.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 667935 divided by 3\nAnswer: 222645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -1431*j**3 - 2*j**2 + 24*j - 2. Let t(p) = 27189*p**3 + 39*p**2 - 468*p + 39. Give -6*t(n) - 117*z(n).\nAnswer: 4293*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -2\/9 (c) 0.5 (d) 4\/55455 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 < -47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x + 2*x**2 + 4*x**2 - 5 + 0*x**3 - 3*x**3 - x**2. Let a(d) = 4*d + 0*d**3 - 5*d**3 - 4 - 8*d + 0*d + 3*d**3 + 4*d**2. Determine 5*a(h) - 4*t(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**3\/9 - 10*p**2\/3 + 8*p = 0.\nAnswer: 0, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-5))\/(d*d**(6\/5)*d))\/(d*d**(-3)\/d*d**(-5)*d))\/(d**(-1)*d**(-8)*(d**(1\/5)\/d)**16) assuming d is positive.\nAnswer: d**(158\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22744248?\nAnswer: 2, 3, 43, 22039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*d - d + d)*(13 - 16 - 3*d**2 - 19) in the form x + n*d**2 + l*d + p*d**3 and give p.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20660.999955063 - -20661. Round s to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2*i + 46, 6*i - 3*o - 50 = i. Calculate the remainder when 33 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21756 divided by 4\nAnswer: 5439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54058.32 + -53123. Round z to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w + 316564 = -149036 - 0. What are the prime factors of w?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000088094 to 7 dps.\nAnswer: 0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -614742 less than -614743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**3\/3 + u**2 - u - 2. Let f(s) be the first derivative of w(s). Let g be f(-4). Let m(h) = -h**2 - 7*h - 9. Determine m(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 62318060?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z**3\/5 - 5032*z**2 - 654667*z\/5 - 4256434\/5 = 0. What is z?\nAnswer: -13, 25186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + 0.2. Let y = 13.6 + -9.6. Let w = 7731 - 69577\/9. What is the nearest to b in -3, y, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1455*y**2 - 320*y + 970615 wrt y?\nAnswer: -2910*y - 320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*b**2 - 4*b**2 + 25*b**2 + (-b + 4*b - 5*b)*(5*b - 4*b - 2*b).\nAnswer: 28*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.322 + 0.321286. What is j rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.8 + -3. Let l(n) = -n**3 + 7*n**2 - 2*n + 2. Let b be l(7). Let v = b - -23\/2. What is the nearest to v in 0.1, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((5*sqrt(99)*-1 - sqrt(99) - sqrt(99)) + sqrt(99) + sqrt(99))\/sqrt(9).\nAnswer: -5*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 64, 489, 1608, 3763, 7296, 12549, 19864?\n\"Answer: 57*v**3 + 5*v**2 + 11*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 18*r**2 - 7*r - 13. What is j(-3)?\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**6\/120 + 7*n**5\/60 + 11*n**4\/24 + n**3\/3 - n**2 + 7*n - 2. Calculate c(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 3:37 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2 - 1 = 0. Let s = j - -1. Let k(x) be the first derivative of x**4\/4 + x**2\/2 - 10*x - 1. Calculate k(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*l - 1360 = 0. Let c be ((-3)\/6*(-19)\/(-38))\/((-1)\/8). Suppose c*h = 3*k + 170, -3*k - k = -4*h + l. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 316579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 182478, 182502, 182598, 182808, 183174, 183738, 184542?\n\"Answer: 7*n**3 - 6*n**2 - 7*n + 182484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwnnnnn. Give prob of picking 3 w and 1 n.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2100 and -0.1?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4662 less than or equal to 4664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 + -179.482086667.\nAnswer: -179.392086667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a century?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -75. Let l = -39.336 + -2.924. Let o = n + l. Round o to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 0. Let s be ((-4)\/(-1))\/(-5 + 2 + 4). Factor -q - 3 + 2*q**o - 9*q**5 - 10*q - 66*q**3 - 41*q**s - 54*q**2 - 10*q.\nAnswer: -3*(q + 1)**4*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61747, -246008, -553109, -983050, -1535831, -2211452, -3009913?\nAnswer: -3931214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -47, -153, -453, -1043, -2019, -3477, -5513, -8223?\n\"Answer: -16*v**3 - v**2 + 9*v - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k + 576*k**2 - 810*k**2 - 2*k)*(11*k - 18*k - 6*k) in the form y*k**3 + p + o*k + q*k**2 and give y.\nAnswer: 3042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5264 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2959800?\nAnswer: 2, 3, 5, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*(4*(sqrt(88) + 1*sqrt(88)) + sqrt(88)))\/((sqrt(80)*-1)\/sqrt(10) + (sqrt(72) - 1*sqrt(72))).\nAnswer: 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6396*h*x - 86017*h - 4*x wrt x.\nAnswer: -6396*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 91*i**2 + 2*i + 4*i - 6*i to the form f*i**2 + m*i + p and give f.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s - 124. What is m(10)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g - 1. Let m be i(-5). Suppose 3*f = -2*f + 10. Differentiate m - f + p - 3*p wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*g - 1929 = -206*g + 1725 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24718220 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -50*d + 1638. What is the hundreds digit of g(21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2213941 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 295.4763 to the nearest 10.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26.42 - -25.42. What is the nearest to 0 in -0.213, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 124 + -122. Suppose q = -5*c + 80, -3*q = q - z*c - 386. Calculate the highest common factor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*2404.\nAnswer: 480.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*i + 837 = -31*i - 1923 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**3 - 73*t**2 + 20*t + 64. Determine w(24).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4374650*o - 4374646*o + 1 - 2*o**3 + 5*o**2 - 2. Calculate m(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48251 + 5404061\/112. Calculate the common denominator of d and 143\/144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.09498 - -0.09497922784. Round j to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -83572180*i**4 - 225915*i + 313 wrt i.\nAnswer: -1002866160*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 20*f + 54. Let n be (6 + -5)\/(2\/(-4)) - 15. Let w be b(n). Let w*z**4 + 0*z + 0 - 3\/5*z**2 - 3\/5*z**3 - 9\/5*z**5 = 0. Calculate z.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81843 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 15 times -3.6\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*b + 36. Let q(d) = d**2 - 21*d + 40. Let z be q(20). What is the greatest common factor of b and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214321884 divided by 5?\nAnswer: -214321884\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (117 + -78 - (-1 - -33)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2636, 5272, 7908, 10544?\nAnswer: 13180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11259 (base 11) to base 14.\nAnswer: 5d0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + t = 3*q + 67, -3*t + 41 = -2*q. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 g when two letters picked without replacement from {t: 2, g: 5, r: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 5:33 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*m. Suppose 18 = 2*h - 5*n + n, m = -3*n + 3. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (17 + 1 - 11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, -3033, -20.\nAnswer: -3033, -107, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.3 - 3. Let l = 3097\/10 + -310. Let y = 1\/10 + l. Put z, y, -3 in increasing order.\nAnswer: -3, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9, -24, -35, -42?\n\"Answer: 2*t**2 - 21*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 1\/75*h**6 + 0 - 7\/15*h**3 - 19\/60*h**4 + 12*h**2 - 4\/75*h**5 + 2*h. Suppose a(b) = 0. Calculate b.\nAnswer: -1, -1\/2, 7\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5033311799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*c = -280, v - 55 = -634*c + 638*c. What is the highest common divisor of v and 5561?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, m: 1, q: 2, u: 2, r: 1}. What is prob of sequence ukqu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -43*w**2. Let p(x) = 3*x - 11. Let o(t) = -t + 7. Let v(a) = 6*o(a) + 4*p(a). Give k(v(s)).\nAnswer: -1548*s**2 + 1032*s - 172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 52, 1.05, -0.12, -1?\nAnswer: 52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 172102.765 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/5 + 32*u**3 + 314*u**2\/5 + 156*u\/5.\nAnswer: 2*u*(u + 1)**2*(u + 78)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 2*x**3\/3 + 2. Let l be (-12)\/(-5) - (-4)\/(-10). Let p(h) = l - 1 - 1 + 5*h. Determine p(m(f)).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 29689272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 4) to base 16\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*k - 1 + 0 + 3)*(-k - k - 3*k) in the form o*k + y + i*k**2 and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5942*l - 37 + 5966*l + 7 - 24*l**2. Let a(p) = -5*p**2 + 5*p - 6. What is -14*a(b) + 3*u(b)?\nAnswer: -2*b**2 + 2*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 0*d. Let h(z) = 5*z**2 - 3*z + 205. Let n(w) = 11*w**2 - 7*w + 411. Let c(p) = 9*h(p) - 4*n(p). Is c(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*8\/16*-1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -641, -1282, -1923?\n\"Answer: -641*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81186473 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1776*n**3 + 578*n**3 + 591*n**3 + 594*n**3.\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*r = 46 + 29 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 5*i + 635*f - 637*f, -4*i + 3*f = -24 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*p**4\/11 + 199848786*p**3\/11 + 2218863048193782*p**2\/11 + 8211795432406947325830*p\/11 - 16423599740267686217172\/11.\nAnswer: 6*(p - 2)*(p + 11102711)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.27 in 18, -1\/2, 0.2, 3280, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -145*k**4 + 494*k**3 - 553*k**2 + 204*k.\nAnswer: -k*(k - 1)**2*(145*k - 204)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*x + 114*x - 48*x to the form r + z*x and give z.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cssssssscsssssssssss. Give prob of sequence sscs.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -88 - ((-4 + 15 - (13 + 4 + -4)) + -10).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6) + 0)*54\/90.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 - 6300850*o + 1985035536125.\nAnswer: 5*(o - 630085)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30486 and 71134?\nAnswer: 213402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 56, 27, -88, -331, -744?\n\"Answer: -7*o**3 - o**2 + 23*o + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 2)*(-l + 2*l - 5*l) as x + n*l and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 71.48247 litres?\nAnswer: 71482.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 299956 = 299958?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 109847971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.421 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -5, -2196, -31, 2 in ascending order.\nAnswer: -2196, -31, -5, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 635786.6 meters?\nAnswer: 635786600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-594)\/(-693)*(-83)\/(-3). Which is bigger: 24 or k?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72945031421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 133\/1*9\/66. Let x = j - 749\/88. Find the common denominator of x and (1\/2)\/((-4)\/106).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1.8. Let a = 0.2 - m. Put a, 2, 1\/6 in increasing order.\nAnswer: 1\/6, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -580\/13 + 2094\/65. Let k = b - -58\/5. Let l = -4.5 + 5. Put k, l, -1\/3, 4 in ascending order.\nAnswer: k, -1\/3, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minus -123285537?\nAnswer: 123285548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 92*b + 350 + 18 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - 1 - (-30 + 28 + -34 + 24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = n + 10. Let h = 307 - 303. Which is the biggest value? (a) 2\/169 (b) h (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 41?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + -1 + (-1*(sqrt(480) + 1*sqrt(480)))\/(-3*(sqrt(6) - (sqrt(6) + sqrt(96)*1) - sqrt(6))))**2.\nAnswer: 64*sqrt(5)\/15 + 784\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -1689?\nAnswer: -1691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*g**2 + 3*g - 2*g**3 - 32*g**2 to d*g + m + c*g**3 + f*g**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10349376 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -829816 divided by -13.\nAnswer: 63832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/15 + 1164*c**3\/5 - 511566*c**2\/5 + 607608*c - 908280.\nAnswer: -2*(c - 870)**2*(c - 3)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 7 = -3. Put p, -2\/15, 2 in increasing order.\nAnswer: p, -2\/15, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*r - 126*r - 70 = -268*r - 11*h, 0*h + h = 2 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 7:20 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 749219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*y**4 - 13*y**2 + 13*y**2 + (3*y**3 + 0*y**3 + 0*y**3)*(0*y + 0*y + y).\nAnswer: 17*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/5355 and -79\/5355.\nAnswer: 5355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m - 2*m + 5*m + (-3*m + 0 + 0)*(2 + 5 - 6))*(43 - 2*m**2 - 21 - 20) to the form d + t*m**3 + j*m**2 + y*m and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -1)*(-1 + 0). Let d(b) = 6 + 19 + 7*b**3 - 24. Determine d(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvd when three letters picked without replacement from rtwvtded?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 2155980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5405790 or 5405803?\nAnswer: 5405803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, 0.5, -21.\nAnswer: -21, -1.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.8766621 rounded to two dps?\nAnswer: 3.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -150. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4459492 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 176 or 166?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 9*n**2 + 12*n - 15. Let f(d) = -d**2 + 56*d + 10. Let v be f(56). Give x(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from babiibiibbbbaa. What is prob of picking 1 i and 1 a?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 11 (c) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, c: 7, o: 5}. Give prob of picking 1 l and 1 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -29052102*t. Let j(m) = 3*m. What is j(u(z))?\nAnswer: -87156306*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 216, 324, 432, 540?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78002.\nAnswer: 2, 43, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 7 = 5. What is the least common multiple of t and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 3, 4, 23.772?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - a - 1079930, -110*a + 269957 = v - 106*a. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.98 * 0.08.\nAnswer: 0.2384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 11. Let s be (-46)\/(-14) + -2*(-15)\/(-10). Which is the nearest to 2? (a) t (b) s (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -10510.\nAnswer: -4204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1108*l - 4430. Let j be w(-4). Solve -j*o = 5*a - 23, 2*a - 5 = -5*o - 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 140.3 - 126. Let v = r - 14. Let s = v - 0.4. Put -3, s, -1 in descending order.\nAnswer: s, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 282, 1136, 2556, 4542?\n\"Answer: 283*t**2 + 5*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16259580 and 43260?\nAnswer: 6180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 89935697*w**2 + 18*w + 219048.\nAnswer: 179871394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40\/3? (a) 4\/3 (b) -122\/3 (c) 0.5 (d) -4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/36798 and -31\/30665.\nAnswer: 183990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 11 = 2*j. Calculate the remainder when 29 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or 711.1?\nAnswer: 711.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + -2*(-9)\/(-22). Let u be (-11)\/((-37752)\/13712) - 4. Let l = -437\/1716 - u. Put b, 1, l, -2 in descending order.\nAnswer: 1, b, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-1))\/((-2)\/4). Let j(h) = h + 13. Suppose -4*s + 13 = -5*s. Let y be j(s). Is y > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 - 303 = -10*j. What is the least common multiple of j and ((-1)\/(-2))\/((-2)\/(-80))?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19119 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 6*d**2 - 13*d - 9. Let x be b(-3). Let c be (-4)\/(-6) + 20\/6. What is the second derivative of -y - 36*y**x + 21*y**3 + c*y wrt y?\nAnswer: -90*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 6:09 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-20)\/(-25))*(-1)\/35.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201103 + -221020?\nAnswer: -13311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -29\/5 - -271\/45. Sort 4, 0, w, -0.1.\nAnswer: -0.1, 0, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 87438*h**4 + 92*h + 69?\nAnswer: 1049256*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -22*v - 2. Let s be o(-3). Let n be 18\/4*s\/144. Suppose g = 0, -g - n*g - 6 = -2*k. Solve -3*c + 3*x + k = 0, -2*c - x = 4*x - 9 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**5 + 1204*m**4 + 4*m**3 + m**2 + 111826*m + 3.\nAnswer: 120*m**2 + 28896*m + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20914449 - -54334449. Round s to the nearest 1000000.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**5\/4 - 25*u**4\/2 + 36*u**3 - 71*u**2\/2 + 47*u\/4 = 0?\nAnswer: 0, 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5, 65, -3, -4, -0.2 in increasing order.\nAnswer: -5, -4, -3, -0.2, 12, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(115 - 2) - -1. Let w = 13982\/31 + r. Is -1 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 130*z**2 - 116*z + 24. Does 18 divide l(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of b**9\/4725 - b**7\/1050 - b**6\/900 + 5*b**4\/24 - 4*b**2. Let p(m) be the second derivative of q(m). Solve p(r) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1190316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5478, 5305, 4954, 4335, 3358, 1933, -30, -2621?\n\"Answer: -15*b**3 + b**2 - 71*b + 5563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, f: 3, p: 3, i: 1, y: 1, w: 5}. What is prob of sequence yij?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51305312.\nAnswer: 2, 1603291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 106*t + 500. What is s(-4)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Express -95 - 87 + 95 + 2*y in the form r + x*y and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 105321*-1*114\/(-171) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 864?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -l + 3170, -l = 19*g - 16*g - 2378. Calculate the smallest common multiple of 99 and g.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*n**3 - 35*n**3 + 8*n**3 - n**2.\nAnswer: -12*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -0.4 (c) 1\/6 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 286892.45 rounded to the nearest one thousand?\nAnswer: 287000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*s = 3*g + 74*s - 404, -5*g + 648 = -2*s. What is the highest common factor of g and 7776?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -169 - -241. Let t = -24 - -40. Calculate the highest common divisor of t and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 6b84?\nAnswer: 6b86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2062 divided by 198\nAnswer: -1031\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 5*h + 1 = 0, 14 = 2*u - 4*h + 6. Suppose -8*s - 14 - 26 = 0. Let y be (2\/s)\/(3 - 31\/10). Solve m + m - y*j = -22, -u*m - 18 = -3*j for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -i. Let w = 102 - 104. Sort w, 1, i.\nAnswer: w, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3654538352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - -1 - (-7)\/((-14)\/(-40)). Suppose -p*r = -27*r + 6. Let q be 1\/r*-8 + (-1 - -9). Solve q*u = u - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 15) + 0 - (218 + -225) - 4\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5156 + 5161. What is the biggest value in -0.3, 6\/7, -10, -2\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - c - 7371, -2946 = -65*w + 63*w + c. Calculate the least common multiple of 40 and w.\nAnswer: 11800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqn when three letters picked without replacement from ntttq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37368 divided by -1253.\nAnswer: 37368\/1253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -128, -23 in ascending order.\nAnswer: -128, -23, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 2208, 0.852, 0, -0.5 in increasing order.\nAnswer: -0.5, -0.3, 0, 0.852, 2208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -657779, -5262374, -17760557, -42099122, -82224863?\n\"Answer: -657799*s**3 - 2*s + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -223 from 0.9.\nAnswer: 223.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 23*z - 21*z = 15, -5*f = -4*z - 75. What is the greatest common factor of f and 5505?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223232 (base 5) in base 9?\nAnswer: 11804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**2\/6 - 1106156*a\/3 - 2212309\/2 = 0.\nAnswer: -2212309, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*x - 88 = 19*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1.91. Let t = 0.09 - p. Let q = 0 + t. Which is smaller: q or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20 - 1281*i**3 + 1832*i**3 + 1450*i**2 + 4*i - 1444*i**2 + 2721*i**3 - i wrt i.\nAnswer: 19632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/(z\/(z**(2\/31)*z*z)*z)))\/z*z\/(z\/(z*z**9)))**(2\/41) assuming z is positive.\nAnswer: z**(616\/1271)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1601*m + 1594*m + 28 = 0. Let a(p) = -p**2 + 8*p + 5. Suppose -24 = -5*j + 2*j. Let t be a(j). What is the highest common divisor of m and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -2\/8219 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v + 38. Determine b(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28914265 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/10717 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 20, -3\/4, -9, 0.194, -5, -2, 3\/5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -537.54 + 538. Which is greater: a or 0.04?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 322 and 321 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 80*r**2 + 11*r + 884. Let w be d(-80). Let s be 0 + -3*3\/(-18). Which is the closest to 2\/9? (a) w (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from vzvj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002101 rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4)\/p**(-4)*(p*p*p*p\/p**(1\/3))\/p**5*((p\/((p\/(p*p*p**4*p*p*p))\/p))\/p**(-2\/9))**(-10) assuming p is positive.\nAnswer: p**(-932\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3202 and -0.2.\nAnswer: 0.06404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -71716 + 395?\nAnswer: -71321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4289 is divided by 252.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 210 - 234 + 23 + 2103*q**2 - q - 2*q**2 + q + (-2 + 2*q + 2)*(2*q + 0 + 0) + q**2 + q**2 - q**2 + 2*q**2 + 4*q - 4*q.\nAnswer: 2108*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1050587 (base 13) in base 4?\nAnswer: -102331201022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 36. Determine a(-11).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*a**3*j**3 - 76*a**3 + 4572*a**2*j**3 - 2*a*j**3 - 8682*j**2 wrt j.\nAnswer: -78*a**3 + 27432*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 200\/475493 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -17. Let i be (-1 - b) + (1 - 0). Suppose -i*d = -0*d - 20. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 j when four letters picked without replacement from ggggggjggkgkgggjjg?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 5593*v**3 - 3*v - 5421*v**3 - 2*v**2 + v in the form l + c*v + o*v**2 + k*v**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*m + 190 - 15, -35 = m - 4*j. Let r = m - -53. Calculate the least common multiple of 32 and r.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -52, -16, 40, 110, 188, 268?\n\"Answer: -i**3 + 16*i**2 - 5*i - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -592 + 1490. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1104, -4425, -9964, -17727, -27720, -39949, -54420?\nAnswer: -71139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 144 + -139. Solve -2*s = -4*s, 0 = 5*l - 3*s - n for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205, 324, 439, 550, 657, 760, 859?\nAnswer: 954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 12:33 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30333 times -5409?\nAnswer: -164071197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1615 - -1625. Calculate the greatest common divisor of i and 985.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4*r**3 - 129*r**2 - 110*r + 361. Calculate a(33).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 146 + -4?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 688 = w + 33*w for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.307 - 5.307. What is the closest to o in -5\/3, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4.6 (b) -4 (c) 2\/11 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -512811135*u**2 + 70164*u - 12\/5.\nAnswer: -3*(29235*u - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -322, -639, -942, -1225, -1482?\nAnswer: -1707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4118*n = -315972 - 104064 for n.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2 + 5*w - 3. Calculate g(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4007*t**3 - 500*t**2 + 4763*t - 9948 wrt t.\nAnswer: -24042*t - 1000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*w - 38*w + 6*w - 16*w - 12*w to f*w + s and give f.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*(-3*(sqrt(325) + (1 + sqrt(325) - sqrt(325))*-6) + 1*(sqrt(325) + -1)*-4))**2.\nAnswer: -9240*sqrt(13) + 98454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11423 - 17?\nAnswer: 11404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 4. Let i(g) = 4*g - 11. Let c be i(5). Calculate the greatest common divisor of c and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 477\/143 + -35\/11. Let p = -5 + 7. Let q be -1 + p - 5\/1. Which is the third biggest value? (a) 2\/7 (b) w (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 206.9 + -216. Let d = -7.1 - g. Which is the third smallest value? (a) -1\/11 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-2) + 1 + -262. Which is bigger: -260 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -672a6 (base 13) to base 4\nAnswer: -231231103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -15*f**2 + 35*f + 10. Let q(h) = h**2 - h - 1. Let d(l) = -2*l**2 + 3*l + 4. Let p(m) = d(m) + 3*q(m). Let g(b) = 20*p(b) + x(b). Solve g(z) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2. Suppose 5 = -2*d - 5*q - 6, -50 = -5*d + 3*q. Let n(i) = 7 - d + 5*i - 4*i. Calculate u(n(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/594 and -13\/165?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 15 = u, -45 = -354*u + 352*u - z for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 873, 3582, 8125, 14508, 22737, 32818, 44757?\nAnswer: 58560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + 0.3. Let y = 10 - 6. Suppose 5*f = f - 2*o - 10, -5*o + 3 = -y*f. Which is the nearest to v? (a) -4 (b) f (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - 1416\/(-192) - 1207\/680)*(-135)\/4?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -85, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1568409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1651)\/3*(-273 - -270) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/36 + (-8397)\/(-2). Let x = y - 7227. Is x\/(-39) - 4\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/(-6) - -2 - -3. Let m be (-8)\/(-6)*3\/t. Suppose -c = m*c - 5*n - 3, 3*n - 9 = 0. Solve b + c - 2 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1100000 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/30257 + -60500\/211799. What is the fourth smallest value in 3, 0.03, 6\/7, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4170 and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 635*h**7\/42 + 47*h**3\/3 + 29*h - 4. What is the second derivative of q(t) wrt t?\nAnswer: 12700*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -204, 1, 5, -7, 38, 17 in descending order.\nAnswer: 38, 17, 5, 1, -7, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 576\/44*(-18 - (-423)\/18)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 10, v: 4}. What is prob of sequence vb?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2496)*3*-1)\/(1*sqrt(12)\/sqrt(4) + (sqrt(3)*-1 - sqrt(3))*-2).\nAnswer: -24*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6*9\/(-1). Suppose r*t - 25 = t. Let h be 525\/50 + (-18)\/36. Calculate the highest common factor of h and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -7\/64*l**4 + 0*l + 1\/32*l**5 + 0 + 1\/8*l**3 + 25*l**2. What is r in j(r) = 0?\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 33*n + 23. Let t = -6164 + 6132. Calculate z(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -4. Let v be -3*(5 + -2)\/d. Suppose j + v = -4*q, -5*j + 4*q = -0*j - 81. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -24, 3\/4, 2\/19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 7*j - 1. Let n be s(-1). Put n, -5, 5 in descending order.\nAnswer: 5, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**3\/7 + 22560*h**2\/7 + 360237*h\/7 + 48240 = 0.\nAnswer: -7504, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 rounded to 0 decimal places?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (3 - 2)) + -3 - -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 8*g**2 - 5*g - 2. Is y(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64 (base 12) to base 5.\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 - -334. Suppose -x = 9*l - 33*l. What is the highest common factor of l and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3318*v - 4740*v**2 - 1109*v + 4738*v**2 - 1106*v - 1103*v.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 plus -1925?\nAnswer: -1934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 87\/(-33) + 3)\/2.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**5 - 5*y**5 + 9*y**5 + 4*y**4 + 0*y**5 + 3*y**3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 10. What are the prime factors of 6 + 1 - (b - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (3 + (9 - 10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) -1 (b) -5 (c) -4 (d) -0.73\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -190\/29 - -4301\/174. What is the common denominator of v and (6\/(-20))\/((-1602)\/16465)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -631\/10 - -63. Which is the nearest to 5? (a) 4 (b) m (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3489 + -3473. Solve 11*g + 5*g = -k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2)*s**(-2\/7)\/s)\/((s\/(s*s*s*s**5*s))\/(s\/(s\/s**(-1))))*(s*s**0)**(-9)*(s*s\/(s**(1\/2)\/s))**(-2\/3) assuming s is positive.\nAnswer: s**(-41\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -239, 2794.\nAnswer: -239, 1, 2794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106802 is divided by 13328.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 + 487*n**2 + 132364*n + 1027232.\nAnswer: -(n - 683)*(n + 8)*(n + 188)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-40))**(2\/15)*(l*l*l**(14\/9)*l*l*l)\/((l\/l**(-40))\/l) assuming l is positive.\nAnswer: l**(-1739\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 830 a factor of 24432710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 742?\nAnswer: -746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18, -455, -1634, -3927, -7706, -13343, -21210?\n\"Answer: -62*f**3 + f**2 - 6*f + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g - 2*s + 1, -3*g - 16 = 23*s - 28*s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34227804173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -1733*w - 307001 + 307001. Let c(y) = 2*y. Determine c(u(b)).\nAnswer: -3466*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -553 + 525 = -14*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 21. Let q(l) = -2*l - 63. Determine 11*n(i) + 4*q(i).\nAnswer: 3*i - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -815188 or 1?\nAnswer: -815188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*i**3*q*x**2 - 54*i**3*q - 2*i*x**2 - i*x + 1 wrt x?\nAnswer: 6*i**3*q*x - 4*i*x - i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2108518084 to the nearest integer?\nAnswer: 45919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -4 + -2 + -2 + 2 + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iciiici. Give prob of picking 1 i and 1 c.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001023351 to 7 decimal places.\nAnswer: 0.0001023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2457 and 1865052.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25970542 a multiple of 598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7\/30 - 1\/10. Let l be 7 + -3 + -1 + 12. Suppose 6*r + 9 = l. Which is smaller: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 68 in decreasing order.\nAnswer: 68, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((-3)\/2) + 2. Suppose y*v - 16 = -2*v. Is 9 a factor of (-8 - -1)\/((-2)\/v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14894 - -14883. Let v(m) = -m**3 - 10*m**2 + 9*m + 11. Calculate v(f).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -299, -404, -585, -842?\nAnswer: -1175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71*l**5*z - 677506*l**2*z**3 - 49*l*z**3 - 1116*l*z**2 - 14*z**3 wrt l.\nAnswer: -1420*l**3*z - 1355012*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**2*l**2*n - 2694*b**2 + 2*b*l**2*n - 2*b*l + 778*b*n + 7*l**2 - l wrt n?\nAnswer: b**2*l**2 + 2*b*l**2 + 778*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**3 - 170*q**2 + 50*q + 4262. Determine d(-85).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3148*g**3 + 3*g**2 + 2*g - 4. Let r be w(1). Which is smaller: r or 3154?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 = 2. Let j be (-6)\/(-30) - (-18)\/10. Suppose -j*m = -m - 8. What is the least common multiple of y and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 2)*(2 + a - 2)*(-6 + 2 + 2)*(1 + 2 - 2)*(-216*a**4 - 47*a**4 - 78*a**4).\nAnswer: 682*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -493*n**4 - 486*n**4 + 1919*n**2 + 77*n**4 wrt n?\nAnswer: -21648*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 61 = -4*k - 5*u, 0 = 2*u - 2. Let h(i) = -i**2 + 16*i - 21. Let v be h(k). What is the greatest common factor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33940*g**5 - 27*g**3 - 732616*g**2 + 2 wrt g.\nAnswer: 2036400*g**2 - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4 + s**3 + s - 4*s**2 + 0*s**2 - 3*s**2 - 3. Let n(z) = z**3 - 2*z**2 + 1. What is the smallest common multiple of n(2) and m(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 - ((-18 - -14) + (-4 - -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4763279 + 8265201. Suppose -631922 + b = -l. Round l to the nearest one hundred thousand.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n + 6*n + 3*n + (-3 + 0 + 4)*(2 - 2 - 2*n) - 2*n + 1 - 1 - 196 + 196 + 75*n.\nAnswer: 75*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.99 - -0.01. Let d = -3 + i. Is d != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3165?\nAnswer: 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 - 9 = f + v, 5*v = 2*f - 185. Suppose 2*j - 7 = 11. Suppose 210 = 14*z - j*z. Calculate the greatest common factor of f and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4796 - 4116.1. Round p to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 486733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1594*v**3 + 3423 wrt v.\nAnswer: -4782*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/7 (b) 2\/11 (c) 2\/9 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-107*y**3 - 9*y + 49*y**3 + 2 + 56*y**3)*(1 + 0 - 4)*(2 - 2 + 3*y) in the form a*y**4 + l + r*y**2 + d*y**3 + k*y and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (-53 - -18) + 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 2 + 4*r - 4*r)*(3*r**3 + 0*r**3 - r**3 - 2*r**3 + 2 - 2 + (-r - 7*r + 4*r)*(-r + r + 2*r**2) + 5*r - 5*r + r**3).\nAnswer: 14*r**4 - 14*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 9. Suppose -2*o = t - 25, 0 = 4*t - 0*o + u*o - 76. Suppose 5*m - 3 - t = 0. Does 4 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -64038, 4.\nAnswer: -64038, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 23*z**2 + 40*z + 255. Determine d(20).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + 0)**2 + -1 - -5*(-5*sqrt(242))**2)*-2 + -4.\nAnswer: -60986","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3\/4 - 1443776*m**2 - 11550205*m\/4 - 2887551\/2 = 0.\nAnswer: -5775102, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + 16 + -24 - 180.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (11 - (25 + -30))) + 63?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1171, 2344, 3517, 4690, 5863, 7036?\nAnswer: 8209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(2\/17))\/z*z**(2\/9)*z**(-1\/7)\/z**(-6) assuming z is positive.\nAnswer: z**(6385\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2290536*j**2 - 2308*j - 1070.\nAnswer: -4581072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = 9*g - 3. Let m be -3 - (-3 + 0)*g. What is the third derivative of -m*c**2 - 2*c**3 + 2*c**3 - 180*c**5 + 176*c**5 wrt c?\nAnswer: -240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*k**2*m**2 + 2*k**2*m - 4*k**2 - 23*k*m - 627*m**5 + 3 wrt m.\nAnswer: -28*k**2 - 12540*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 2*i + 10, -14 = 2*g + 10*i - 6*i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5.62705 * 0.9\nAnswer: 5.064345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 130 - 134. Let i = -344 - -343.6. Which is the fourth biggest value? (a) r (b) 2 (c) i (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184446*c - 184446*c - 226*c**3.\nAnswer: -226*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4 + 1 = 0. Suppose -2*r = g - 5, -4*c + 1594 = -3*r. What is c rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = u + 25. Suppose z + u*i + 6 = 0, 0*i = 5*z - i - 48. Suppose 0 = -3*g + 14 - 2. What is the remainder when z is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u**(-2\/5)\/u)\/u)**(1\/17)\/(u*(((u*u*u*u**(-1))\/u)\/u)\/u)**26)\/((u**1)**(-15\/2))**(2\/9) assuming u is positive.\nAnswer: u**(419\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18 - (3 + (2 - 7)). What is the highest common factor of t and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + 13*a + 19. What are the prime factors of l(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -16) + (5 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 7*y - 12. Determine z(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -17. Let m(d) = -d**2 + 12*d + 17. What is the remainder when m(11) is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -9*b + 27. Let j(f) = -2*f - 2. Determine -10*j(k) + 2*l(k).\nAnswer: 2*k + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -18391*g - 91671. Calculate h(-5).\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -71.816, 3, 4, 1.6 in descending order.\nAnswer: 4, 3, 1.6, -71.816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 3*i = -12, 2*h + 4371 - 4377 = -4*i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 204*y + 48. Is q(12) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 l, and 2 b when four letters picked without replacement from llhlbwwhlwbwllllh.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12 - (3 + -4)*4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a century in months?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in 1543, 0.2, 49, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3*l + 8 = -z, -2*z = -l + 7. Is -5 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 5) to base 7\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -4. Let p be u\/(-13) - (-852)\/39. Suppose -2*l - y + 59 = p, -y - 3 = 0. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of 1504*n**5\/5 - n**3\/3 - 2574*n**2 + 5515. What is the second derivative of a(d) wrt d?\nAnswer: 18048*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 7*h**2 - 5*h - 11. Suppose -3*r + 15 = -9. Calculate d(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 0*q**6 - 18*q + 0*q**5 + 85\/42*q**7 + 6 - 1\/6*q**3 - 11\/6*q**4 + 0*q**2. Find the third derivative of u(c) wrt c.\nAnswer: 5100*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k - 1. Let o(m) = m**2 - 6*m - 3. Let n = -47 - -45. Determine n*o(w) + 7*y(w).\nAnswer: -2*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1514*-2*3\/66. Let f be ((-822)\/(-15)*-1)\/((-2)\/5). Let b = p - f. Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/24 and -41\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-1) - 84\/(-7). Calculate the highest common divisor of b and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)*2)\/(sqrt(500) - (sqrt(500) + (sqrt(500) - sqrt(500)*-1) - sqrt(500))).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c4 (base 14) in base 5?\nAnswer: -11020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(17) + 2 + sqrt(17))**2 - sqrt(170)\/(sqrt(20)\/sqrt(2)).\nAnswer: 15*sqrt(17) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 2*z, -5*j + 3*z = 0. Suppose 5*w - 25 = 0, x + j*x + 17 = 4*w. Factor x - 4*n**3 + 5*n**3 - n - 3.\nAnswer: n*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401913 < 6832518\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38303877 is divided by 607998?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606908624.\nAnswer: 2, 7, 229, 23663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + 38. What is the greatest common divisor of 26 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 98 = -3*b + 6*b, -436 + 298 = -5*b - 7*t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 90?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8427 is divided by 227.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 5*m**2 - 5*m - 4. Let z be w(6). Let f = z - -2. Solve -l + 4 = 4*n + 7, -4*n - 28 = -f*l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**3 - 4*q**2 + 6*q + 13. Let w be h(-5). Let 263*a - 2*a**3 - 3*a**3 - w*a = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(342)\/sqrt(6))\/(sqrt(300) - sqrt(300)*2).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 5*q - 29 = -8*r, 0 = 5*r - 2*q - 20. Differentiate 9*x**2 + 0*x + x + 7*x**2 - 3*x**r - 44 wrt x.\nAnswer: 26*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -132 - (141 + -274) - (0 + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4944.8668 + -4953. Round j to 1 dp.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**22)**0*(k\/(k**15\/k))**(-1\/50) assuming k is positive.\nAnswer: k**(13\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q - 3. Let z = 18 + -13. Let c = -39 + 79. Suppose -d = d, z*d = 5*a + c. Let h(s) = -2*s + 8. Calculate a*w(t) - 3*h(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 6\/12*-8. Let i be 3*l\/162*(-6)\/8. Let h = 0.11 - 0.31. Which is the nearest to 0.2? (a) i (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 1, 21, -13 in descending order.\nAnswer: 21, 1, -1, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 3. Let f(a) = -5*a - 1 + 0*a**v - 7*a**2 + 2 - a**3. Calculate f(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110033000223 (base 4) in base 12?\nAnswer: 19397a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(3\/8)\/((a**(-33)\/a)\/a) assuming a is positive.\nAnswer: a**(283\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -244.36417 to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29*t - 187 - 369 + 28*t - 11*t wrt t?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 11*d**2 - 3*d + 1. Let k be g(-2). Suppose 0*m + k = -3*m. Let t be 4*(-2)\/32 - (-18)\/8. Sort m, -2, t in descending order.\nAnswer: t, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 5*l**3 + l - 2. Let q be x(1). Solve -q*f = -7*f - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((-6*sqrt(180)*-1)\/sqrt(12))\/(sqrt(25)\/(1*sqrt(5)) + (sqrt(5) - (sqrt(5) + sqrt(20)\/sqrt(4) - sqrt(5))*1)) + 0 + 1).\nAnswer: -12*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -446*-101.\nAnswer: 45046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*s = -11*s - 1152. What is the highest common divisor of s and 864?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 308c (base 14) to base 3.\nAnswer: 102110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81 + 81. Let v = j + 0. Which is smaller: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*n + 92*n + 12 + 14*n - 12.\nAnswer: 89*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 4210?\nAnswer: -1\/2105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 397155 a multiple of 2739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from feqqeoeoqeqef. What is prob of picking 1 o, 1 q, and 1 e?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 7*p**2 + 6*p - 2. Suppose 3*r + 5*y = 13, 3*r - 3*y = 32 - 11. Give j(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*y - 77*y + 943 - 757 wrt y?\nAnswer: -89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19\/234 - 5\/26. Let p = 16\/9 + f. What is m in 4\/3*m**3 + 0 - 1\/3*m**4 + 2\/3*m - p*m**2 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.8502931 years?\nAnswer: 10.2035172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -0.05, 9, -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1504, 3031, 4572, 6133, 7720, 9339?\nAnswer: 10996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369309.\nAnswer: 3, 257, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**3 + 2*n**3 + 2*n**3)*(5*n + 0*n - 3*n) + (0 + 2 + 2)*(-2*n**4 + 0*n**4 + 4*n**4 + (n + 0*n - 3*n)*(-20*n**3 - 756 + 756)).\nAnswer: 166*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 201.68 + -171.5. Let x = g - 30.2. Which is the second smallest value? (a) 0.05 (b) 1\/4 (c) x (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6400 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 294918915*w**4 + 277932534*w wrt w.\nAnswer: 3539026980*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.48305652 rounded to 4 decimal places?\nAnswer: -1.4831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -601 - 399. Let l = n - 316. Let b = l + 119. Solve 0 = b*o - o + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22455*k + 57 = 3*m + 22458*k, -3*m = -k + 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6312738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4030.\nAnswer: 2, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 3:45 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*i - 25, -2 - 3 = i - 2*h. Is 12 a factor of (19 - i)*2\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = v + 3*k - 31, -3*k - 105 = -4*v. Is 27 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 689703351?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2374 - 1681. What is the lowest common multiple of 77 and t?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49 (base 16) to base 3.\nAnswer: -2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -58967*f - 353903. Calculate a(-6).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28 and 5037.\nAnswer: -141036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -2\/7, -0.4, -2\/21?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 4:54 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21.5 - -2.5. Let q = a + 19.0014. Round q to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 170b8 + 515?\nAnswer: 175cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, k: 1, p: 1, z: 2}. What is prob of picking 2 q, 1 z, and 1 k?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2988.99994932 + 2989. Round s to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 4*c**2 - c + 3. Let m be t(5). Let q = m - 7. Let h(a) = 6*a - 256. What is the remainder when h(50) is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 968993046 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, o: 1, x: 2, z: 1, b: 3, j: 3}. What is prob of sequence jxzr?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17615 + -26?\nAnswer: -17641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.13, -5, -12\/5, 3\/115, 0.4 in descending order.\nAnswer: 0.4, 3\/115, -0.13, -12\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 15*u - 11*u - 21, -10 = -5*u - 2*v. Solve -3*n = -5*c + 22, -5*c = 5*n + 6 + u for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**3 - 1452*s**2 + 163404*s - 5337252 = 0.\nAnswer: 57, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4351 and 2507.\nAnswer: -1844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1, -3\/40, 0.3 in decreasing order.\nAnswer: 0.4, 0.3, -3\/40, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 1 - 25)*(0*g**2 - g**2 + 4*g**3 + 0*g**2) in the form n*g + w*g**3 + v*g**2 + z and give w.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66468481?\nAnswer: 47, 557, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*u - 3. Let l(o) = o - 6. Let s be l(7). Let g be s\/u + (-30602)\/6. What is g rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167295562.\nAnswer: 2, 7, 59, 337, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and (3 + 1 + 30)\/2?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -13. Let i be 15\/6*(-8)\/o. Calculate the smallest common multiple of 4 and 20 - (-6)\/(-1 - i).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 925\/2302 - -16456864\/10359. Let k = f + -1587. Find the common denominator of -73\/110 and k.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304822.\nAnswer: 2, 7, 21773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216, -715, -1214, -1713?\nAnswer: -2212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.06642 rounded to 2 decimal places?\nAnswer: -19.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**12*h\/(h\/(h*h**(-12))))\/(((h\/(h*h**(-15)*h))\/h*h)\/(h**(-13)*h*h)) assuming h is positive.\nAnswer: h**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, y: 1}. What is prob of picking 2 e?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*u + 3*b + 27, 3*u - 34 = 217*b + 120*b - 332*b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 6*h - 5*h)*(-2 + 1 + 0)*(-2*h + 2*h + 3*h).\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176583822 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*1)\/sqrt(9) + 2.\nAnswer: 2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16572 and 660.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 397799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4079138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 6*p - 98. Let s be z(-14). Let b(a) = -a**2 - 6*a - 3. Let o be b(-6). Sort o, 3, s in increasing order.\nAnswer: o, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*n = -5492 - 341 + 1483 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -1 (b) 2 (c) 0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((-2*sqrt(3240) - sqrt(3240))\/(sqrt(40)*2))\/(2*((sqrt(10)\/sqrt(5) - sqrt(2)) + sqrt(2)) - -4*-2*sqrt(2)))**2.\nAnswer: -27*sqrt(2)\/4 + 369\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h - 1. Suppose -10*s - 61 + 81 = 0. Let x(o) = 3*o - 2. What is s*x(p) - 5*f(p)?\nAnswer: -4*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 8:42 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 8*a**2 + a - 5. Let q be b(8). Let s(f) = 6*f**2 - f**q + 0*f**2 - 5*f**2 - 4*f + 4*f**2. Give s(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2682523 - 2682523.1656683. Let v = a + 0.1656. What is v rounded to 6 dps?\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 6*b**2 - 6*b + 5. Let k = 145 - 212. Let a = k - -112. Let d = a + -40. Calculate h(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 426 = -17*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 799?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 550565 to the power of 1\/2, to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.230978 milligrams to grams.\nAnswer: 0.008230978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83703789?\nAnswer: 3, 13, 715417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z + 264 = 79*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2624 and 1763?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 11:17 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 9*o - 8 = -12*o, -3*o + 9 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -175*a**4 + a**3*x**3 - 230*a*x**3 - a*x wrt a?\nAnswer: -2100*a**2 + 6*a*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((589\/31)\/(-76))\/(2*(-2)\/(-32))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8066686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 30 = 2*m - 3*m, -20 = -4*m. Suppose -10*s + q*s + 612 = 0. What are the prime factors of (2\/4)\/(3\/s*2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5379507 + -779507. Round l to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2448 and 411264?\nAnswer: 411264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -0*a. Let y = 55 + -51. Suppose a*j = -y*j. Solve k + 3*p + 11 = j, 2*p + 5 = -k - 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14149 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - z = 3, 62 = j + 8*z + 20. Solve 0 = j*a - 2*u, 7*a + 4*u = 2*a + 45 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11015 take away -3.6?\nAnswer: -11011.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkrarnrkaxgr. What is prob of sequence gaxk?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002248723 rounded to six dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3 + -3 - -1 - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*v - 4 = 54*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1430523 millennia in centuries?\nAnswer: 1.430523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2033.27 weeks in minutes?\nAnswer: 20495361.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 2. Let x(l) = l - 4. Let h be x(m). What is the highest common factor of 10 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 5) + 5 + -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((1*((sqrt(343) - (1*sqrt(343) - sqrt(343)))*4 - sqrt(343) - -5*(sqrt(343) - (1 + sqrt(343) - sqrt(343)))))**2 + 5).\nAnswer: -2800*sqrt(7) + 109910","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*x**2 - 17*x - 16*x**2 - 14*x.\nAnswer: 180*x**2 - 31*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 34057*q**2. Let t(r) = 3*r. Give l(t(h)).\nAnswer: 306513*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 82603 and 51.\nAnswer: 247809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 8*d**2 - 6. Suppose -j - 14 = 3*n, -4*n - 5*j - 9 = -5. Let s(i) = 2*i**2 - 1. Let z(u) = n*s(u) + h(u). Let b(f) = 8*f. Give z(b(c)).\nAnswer: -256*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/5)\/(23696\/(-311010)))\/(2\/4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 3.5. Let x = 3 - q. What is the smallest value in x, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 10472 = -2*s - 1298, 3*s + a = 13787. List the prime factors of s.\nAnswer: 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*p = 95*p - 140*p + 992 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12891 - 12522. Which is greater: 374 or v?\nAnswer: 374","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oiq when three letters picked without replacement from {o: 1, w: 1, i: 4, q: 4, x: 1, l: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 + 7*b + 4. Let f be z(-6). Let g be f\/5 + (-26)\/(-65). Suppose 4*t + g*t = 80. Solve 6*a - t = 2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1.3, -2\/9, -79.4, -1\/2, -3\/8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**6\/300 - 2*q**5\/15 + q**4\/60 + 4*q**3\/3 - 13*q**2. Find o such that c(o) = 0.\nAnswer: -20, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -91*l - 2*l - 26 + 23. What are the prime factors of q(-1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1481 is divided by 77.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ksls when four letters picked without replacement from {s: 1, l: 2, k: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g = 4*q - 17*g - 3780, -4*q + 2*g + 3776 = 0. Let a = 2410 + q. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-38 + 17)*(-2)\/((-6)\/(-13)) is divided by (-830)\/(-35) + 1*8\/28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 8 = 6*y - 8*y, -4*y = -4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 300308 and 2696548?\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 279 divided by 3\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)*-1*4 + 1*sqrt(209)*-2)\/((sqrt(33) - sqrt(165)\/(sqrt(5) + sqrt(5)*3))\/sqrt(3))*5.\nAnswer: -40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 11*q - c - 169, 3*c + 15 = 0. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1146500 and 6535050?\nAnswer: 65350500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -420*s + q - 17 = -417*s, 4*s + 5*q + 29 = 0. Let x = 0 - 0. Which is the nearest to 0.1? (a) x (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -455 (base 6) in base 16?\nAnswer: -b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 24 = 8*o. Suppose -o*f + 20 = 3*h, 3*h - 6*f + 15 = -3*f. Let g = -35\/68 - 4\/17. What is the closest to h in g, 1\/11, -1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2412648 divided by -18?\nAnswer: -134036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 9*v**2 + 4*v + 38. What is the remainder when 0 - 3\/(6\/(-16)) is divided by x(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/16 and 52\/1291 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 - 3*p + 25. What is o(-8)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00126480552 to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i**3 - 13*i**3 + 4*i - 3*i - i - 119 to the form a + t*i**2 + x*i + r*i**3 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5096 bigger than -71502?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of m**7\/210 + 13*m**6\/8 - 157*m**3\/2 + m**2 + 38*m. What is the first derivative of i(u) wrt u?\nAnswer: 4*u**3 + 585*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a - 2. Suppose -11*x - 24 = -2. Calculate d(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/11 - 415251736*g\/11 - 21554250531376712\/11.\nAnswer: -2*(g + 103812934)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - 3*m + 3*m + (-2 - 1 - 2)*(-m + 2*m + m))*(-16*m**3 + 17*m**3 + 24*m**3).\nAnswer: -350*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5*v - 417, -3*y - 2*v + 0*v = 396. Let l = y - -241. Suppose 3*j + 47 = l. Calculate the smallest common multiple of 2 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, g: 2, h: 3}. What is prob of picking 2 h and 1 g?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 + 56184207*i**3 + 350740549740690*i**2 + 729854606993165402100*i - 729854957733771327000.\nAnswer: 3*(i - 1)*(i + 6242690)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47354227 - 47354226.57900271. Let y = -943.579 - -944. Let s = q - y. Round s to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of -o**4\/12 - o**3 + 5*o**2 - 3*o. Let g be h(-7). Suppose -5*y + 83 = g*i + 1, -i + 2*y + 20 = 0. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56405252 by 3317956.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2de (base 16) in base 12?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4226 = 5*k + 2*q, 4*k + 4*q - 1242 = 2134. Let c = 4193\/5 - k. Find the common denominator of c and 68\/(-22) + 2 - -2.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 116 and 111708.\nAnswer: 111708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 - 5*y**3.\nAnswer: -5*y**3*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.32139 * 5.\nAnswer: -21.60695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 353, 353, 359, 371?\n\"Answer: 3*i**2 - 9*i + 359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 8\/(-16))\/((-1)\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 854, 855, 856?\nAnswer: 857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*n - 13. Let r(y) = -3*y**2 - 2 + n. Let o(i) = 5*i**2 + 2*i + 4. Let f(s) = 21*s**2 + 9*s + 18. Let k(v) = -4*f(v) + 18*o(v). What is r(k(z))?\nAnswer: -108*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74 + 115. Suppose 248 = 4*p - s, -2*p - 5*s + 105 = -d. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 + 29 - 75 + 165*p**3.\nAnswer: 165*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/215 and 41\/1505.\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1174 (b) 41 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (6 - 6)) + 1 + -11 - -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00976 rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**5 - 2640*m**4 - 340485*m**3 + 2106670*m**2 - 4255980*m + 2851560.\nAnswer: -5*(m - 2)**3*(m + 267)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*b + 422. What is the highest common divisor of 21 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, -5, -2824, 4, -3 in increasing order.\nAnswer: -2824, -8, -5, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + 30. Find the second derivative of -6*p - 21 + c + 26*p**4 - 23 wrt p.\nAnswer: 312*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + 3177. Let x be z\/(-78) + 4\/26 + 3. Let d = -37 - x. What is the greatest common divisor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-3 + 5) + (14 - (-17 + 33)). Factor 1\/3*b**3 + y*b + b**2 - 4\/3.\nAnswer: (b - 1)*(b + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2126)\/(-4) - 1\/2. Suppose -2*n - v = -11*n. Let d = n - 179\/3. Sort d, 2, -1 in descending order.\nAnswer: 2, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(52\/(-148)) - (-6)\/39. Sort r, 5, -6, -5 in decreasing order.\nAnswer: 5, r, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 6*z**2 - 2*z. Let j be c(-6). What is the highest common factor of 8 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9918.223cm in nanometers?\nAnswer: 99182230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((-4 - -7) + (-3 - -4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 5*u + 10, -u - 3*u = -4*f + 24. Suppose 5*q = -5, -f*q - 34 - 2 = -2*p. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*p = -10 - 1950 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u\/(u\/u**(-5\/2))*u*u*u)\/u)*u)**(-16\/7)\/(u**(3\/4)*u**(3\/11)))**(2\/43) assuming u is positive.\nAnswer: u**(-1371\/6622)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by -2963\nAnswer: 48\/2963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.1 - 3.9. Sort t, -3, 1\/5 in decreasing order.\nAnswer: 1\/5, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(17\/(-4))\/1. Let b be ((-39)\/(-12) + -1)*558\/(-405)*-3. Let d = b + m. Which is greater: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 3 (c) 2\/3 (d) -30 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/((w*w**(-1))\/w))*w*w*w*w*w*w\/w**(-8))\/(w**7\/(w**6*w)))\/((w**3*w**(-2\/5)\/w)\/(w**(-7)\/(w\/w**(2\/5)))) assuming w is positive.\nAnswer: w**(19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 11. Let d be ((m - 3)*4)\/7. Let q(r) = r + 1. Let b be q(3). What is the closest to -1 in 0.2, b, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 11. Let o(a) = a**2 + 4 - v + 6 - 7*a. Let j be 1 - 7\/(28\/(-16)). Determine o(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474625568?\nAnswer: 2, 1303, 11383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -20 (b) -8.4 (c) -1\/4 (d) 7 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 97*p**3 + p**2 - 4*p + 4. Let q be i(1). Find the second derivative of -5*v - 3*v + q + 11*v**2 - 98 wrt v.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -105043\/77 not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + d = 16. Suppose -d*j + 749 = 173. What is the highest common divisor of 16 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5551605 by -2419.\nAnswer: -2295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -10\/9 (b) -5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - q - 1. Let t be d(0). Is ((-13)\/(39\/30))\/(t\/5) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5076882853 to the nearest integer?\nAnswer: 71252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 4426430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 2*t = 0, -5046*b - 4*t + 35 = -5049*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 + 76. Let f(b) = 2366*b + 47345. Let p be f(-20). Calculate the highest common divisor of z and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49152 (base 10) in base 9?\nAnswer: -74373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -182306, -182315, -182330, -182351?\n\"Answer: -3*g**2 - 182303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*w + 2*w + 782 + 1522. What is the highest common factor of 45 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/24)\/((-4)\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/7 and 2.95 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 13. Let h = -23.00009 + r. What is h rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -150\/29 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5902875 and 586710?\nAnswer: 484035750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 10*i + 6*i - 1922, -5*g = -4*i - 3214. What is the highest common factor of g and 3078?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60511263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17\/5, -1\/5325, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 16039 in increasing order.\nAnswer: 2, 7, 16039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (2 - (-1)\/1). Suppose t - 6*t + 15 = 0. Suppose -2*k + t*k = 3. Which is smaller: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 4. Let f be o(-8). Suppose -4*w + 0 + 4 = 0. Put w, f, 0 in ascending order.\nAnswer: f, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -820 + 177?\nAnswer: -643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14491854 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 6*x = 6. Suppose 2*f - x*c = 8, -c = 5*f - 3*c - 26. Solve -2*t + f = 0, 0 = p - 0*t + t + 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 3*d + 81, -3*d + 45 = b + b. Calculate the lowest common multiple of b and 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v - 17*v + 39*v - 12 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -257 + 263. Let h be (-8)\/11 + (s - 408\/66). Which is the closest to 2? (a) 1 (b) -2\/7 (c) h (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 6*b**2 - 3*b. What is g(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*t - 428, -5*t + 2*t + 188 = -2*v. Let w = v - -59. Let c = -21 - w. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z - 166*h + 10 = -169*h - 24, 2*h - 39 = 5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 408*b - 12207. Give z(436).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*n - 8, -5*n + 4*s = 1 + 35. Let p = n - -10. Let d(y) be the second derivative of -y**5\/20 + 5*y**4\/12 + 7*y**3\/6 - 4*y**2 + y. What is d(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85883, -85886, -85899, -85928, -85979?\nAnswer: -86058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -37*-4*1\/(-4). Let b = m + 53. Suppose -10*a + b = 46. Is -22\/5 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -403791362*j**3 - 3633894914*j**2\/3 + 2046064*j\/9 - 32\/3 = 0.\nAnswer: -3, 4\/42627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -781, -1414, -2053, -2698, -3349?\n\"Answer: -3*m**2 - 624*m - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -43, 0.21, -2\/11 in increasing order.\nAnswer: -43, -0.4, -2\/11, 0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((0 - 4) + -86)\/((-4)\/(-18)). What is the tens digit of (-6 + 2)*v\/108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2978882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-6)\/120)\/(((-16)\/4)\/4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 191384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 157373543*g**3 + 137487*g + 324 wrt g?\nAnswer: 944241258*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*x - 2 + 13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85 + 110. Let n be (0 + 1)\/(c\/175). Which is smaller: n or 20\/3?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95925 by -25.\nAnswer: -3837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -125830 and -43.5.\nAnswer: 5473605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/1 + (-42)\/18. Suppose 4*y = -4*s + 2*s - 116, -5*y + s - 131 = 0. Let i be 0\/(-1) - y\/18. Which is the nearest to w? (a) -1 (b) -2\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and (1 + 0)*7 - (-93)\/31.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -3, -1\/31?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6637727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -318.2 - -318. What is the biggest value in -0.5, 3, 4\/7, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 - -43. Let h be (-3 - -4)*s - -1. Let d(t) = -11*t**3 + t**2. List the prime factors of d(h).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 74691 and 5031.\nAnswer: 970983","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -128 + (5 - -24) + 57?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 145*m**4 - 59*m - 3096 - 51*m + 166*m - 56*m wrt m?\nAnswer: 580*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -0.4, 7260 in increasing order.\nAnswer: -7, -0.4, 7260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(77)*-1)\/sqrt(11) + 0 + (sqrt(7) + sqrt(126)\/sqrt(2) + (sqrt(63) + sqrt(63)*-2 - sqrt(63))\/sqrt(9))**2.\nAnswer: -sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-423)\/(-27) + -16 - 10\/6. Let v be 9 + 0 + -4 + p. What is d in 8\/3*d**2 - 8*d + 0 - 2\/9*d**v = 0?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/7)*h*h**(-2\/5)*h*h)**(-27)*((h*(h\/(h**5*h))\/h*h*h)\/h*h*h*h**(-6))\/(h**(2\/3)\/((h*h**5)\/h)) assuming h is positive.\nAnswer: h**(-8566\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 5:07 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 925684?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 740?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.9 - -2. Let z = -0.26 + -0.24. Which is the nearest to t? (a) z (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29126 and 6?\nAnswer: 87378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 140 = -k. Let m = -92 + k. Calculate the highest common factor of 224 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99920439 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 12:47 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17\/3 - (-14)\/(-21). Suppose 5*y - 305 = -3*w - 0*y, -t*w + 560 = -2*y. Suppose n + 4*h + 18 = 86, -5*h - w = -2*n. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -282, -1107, -2358, -3933, -5730, -7647, -9582, -11433?\n\"Answer: 17*z**3 - 315*z**2 + z + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6674, 103, 5, 11 in decreasing order.\nAnswer: 103, 11, 5, -6674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**3 - 1 - 153*f**4 + 459*f**4 - 156*f**4 - 148*f**4 + 0*f**3 - 10*f**2 + 23*f as z*f**2 + t + y*f**4 + a*f + i*f**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-63)*3\/(-4)*777\/37\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -50 (b) -3 (c) 6 (d) 16 (e) -0.1 (f) -13 (g) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 3*s + 34 + 6 = 0, -3*x - 2*s + 5 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 167818?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 124009.\nAnswer: 620045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 687. Let m(f) = -15*f + 50. Let r(x) = 8*x - 30. Let u(b) = 3*m(b) + 5*r(b). Determine q(u(v)).\nAnswer: -5*v - 687","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -10*c - 10. Let z be u(-8). Suppose 5*d - 20 = z. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -16, -55, -130, -253?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18955 and 892.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13157 < 13157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6149.1 + 6756. Let v = q + -446. What is v rounded to 0 dps?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -45? (a) -1 (b) -0.4 (c) 1\/30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10470 is divided by 80.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4148422?\nAnswer: 2, 19, 109169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1\/2))**(6\/5)*(i\/(i\/(i\/i**(-1\/3))*i))**(-2\/49)*(i*i*i\/((i\/(i*i**0))\/i)*i)**(-17)\/(i*i*i\/(i**(-2\/7)\/i)*i*i**(-1)*i*i*i) assuming i is positive.\nAnswer: i**(-66517\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*k + 6 + 19, 5*k = 2*p + 14. Let x be k\/(-15)*9\/6. Let r = 0 + 0. Is x bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 308 and 324.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r - 2*r - 3*r)*(4 - 3 - 2)*(-160*r**2 + 74*r**2 + 64*r**2)*(-2*r + 2 - 2)*(-1 + 1 + 4) in the form x*r**2 + o*r + g*r**3 + k*r**4 + n and give k.\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swwoddoozssggwdswsgd. Give prob of picking 2 s and 1 w.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4000*r + 4013*r + 260 = 0 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 0 + 0*r + 0*r**3 - 1\/525*r**7 - 1\/30*r**4 + 23*r**2 + 2\/75*r**5 + 1\/1680*r**8 - 1\/200*r**6. Factor m(c).\nAnswer: c*(c - 2)*(c - 1)**2*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i + 2. Determine o(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 - 3 - (6 + -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -58, -455, -1194, -2275, -3698, -5463, -7570?\n\"Answer: -171*k**2 + 116*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45224 - 6404?\nAnswer: 36620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -471*v = -475*v + 20. Sort 0, v, 61 in increasing order.\nAnswer: 0, v, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okk when three letters picked without replacement from {o: 17, k: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74\/7 - -72\/7. Is -579 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - (-32 + 1 - -2). Let z = 32 - w. Calculate the least common multiple of z and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 261827871 to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (192\/162)\/(-16) + (0 - 212\/54). Which is the second biggest value? (a) -173 (b) 3 (c) m (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 123233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2258 + 740. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*x + 110 + 352 = -223 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-12 + (-9609)\/(-21))*7 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/(-130)*4*4\/4*5\/(-64).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -17 + 77. Solve f = 3*f + k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126490.\nAnswer: 2, 5, 7, 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 998714 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -191, -392, -601, -812, -1019?\n\"Answer: x**3 - 10*x**2 - 178*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334823083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/41, 6\/7, 1, -22.\nAnswer: -22, 10\/41, 6\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i**(-23))\/i)**33 assuming i is positive.\nAnswer: i**(-726)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -7, -2, -338 in increasing order.\nAnswer: -338, -13, -7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -1\/74, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 0, -0.325, -0.1 in ascending order.\nAnswer: -0.325, -0.1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 4554045.8?\nAnswer: 4554046.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 14*w - 11*w - d, w = -d + 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3 + 1033*j**2 + 26251*j + 69483 = 0. What is j?\nAnswer: -1007, -23, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 - m**2 + 2*m. Let x be t(-2). Suppose 4*u - 2 + 0 = 2*n, -5*n - 3*u = -x. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iijt when four letters picked without replacement from {i: 2, j: 3, t: 7}?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 36 = 2*f. Let n = -35 - f. Put -1, n, -4, 3 in descending order.\nAnswer: 3, n, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 j when three letters picked without replacement from jjxjxcxjjjxxjjjxjjx?\nAnswer: 385\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**6\/40 - g**5\/20 + 21*g**4\/8 + 45*g**3\/2 + g**2 + 68*g. Factor j(f).\nAnswer: -3*(f - 5)*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 121 + 3?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7354 = 4*j - 3*t, 3*t - t + 1844 = -j. Round j to the nearest 100.\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24311 and 47173.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*c - 24267, -68*x + 16 = -64*x. What is the thousands digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 12b99b62?\nAnswer: -12b99b61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 10, y: 10}. Give prob of picking 3 y and 1 f.\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from {p: 1, v: 1, i: 1, y: 1, k: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -322*s + 348*s. What is the third biggest value in s, -3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 7*m**2 - 7*m. Let z be (32\/(-6))\/1 - (-2)\/6. Let j be (2 - (-8)\/z) + (-23)\/(-5). Calculate v(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**2 + 50615*r + 2468130 = 0?\nAnswer: -10074, -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 - 14*g - 4. Let b be x(10). Let z(c) = -c**2 - c + 8. Let o be z(0). What is the greatest common divisor of o and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a millimeter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 - 3*r**2 + 2*r + 1. Let v be h(2). Let w(d) = v*d + 9*d - 2 - d - 9. Let o be w(16). What is the greatest common factor of o and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24763, 25175, 25585, 25993, 26399?\n\"Answer: -r**2 + 415*r + 24349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 312303 + 1001202?\nAnswer: 1320111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-3))\/((-22)\/165). Let a be 2\/(-10) - 2652\/s. Let k = 482 - a. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1258 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 89*b**2 + 21*b**2 + 40*b**2 + 11*b - 7. Is f(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/1989522 and -56\/495.\nAnswer: 109423710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**4 - 339646*m**3 - 53063122*m**2 wrt m?\nAnswer: -72*m - 2037876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 26 = -98. Let m be u\/(-2 - 168\/(-87)). Let s = m + -439. What is s rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/3))**9)**(-1\/8)\/((t**(-2\/3)*t)**13\/(t**(-5)\/t**(2\/3))) assuming t is positive.\nAnswer: t**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -s. Suppose -q - 2*l = -s*l - 17, -3*q - 5*l + 48 = 0. Suppose -o + q - 2 = 0. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 369498 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8984651, -8984649, -8984647, -8984645, -8984643?\n\"Answer: 2*s - 8984653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/(sqrt(15)\/sqrt(3))*3)**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1\/2, 4\/7, -2\/23, 2\/19, -13 in ascending order.\nAnswer: -13, -4, -2\/23, 2\/19, 1\/2, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102723544 to the nearest integer?\nAnswer: 10135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -2 + sqrt(117))**2 + sqrt(117) + (-2*sqrt(13) + sqrt(13) + 1 - sqrt(13)).\nAnswer: -23*sqrt(13) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 3*s - 2. Let y be p(3). Which is the biggest value? (a) y (b) 3 (c) -12 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 6*v**2 - 38*v - 66. What is c(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2038*t**3*u**2 + t**3 + 3*t**2*u + 35*t + 13*u wrt u.\nAnswer: -4076*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232179?\nAnswer: 3, 193, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 12*m**2 - 14*m + 9. Calculate s(-7).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/2744 and -87\/4.\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1377) - (-1 + sqrt(833)).\nAnswer: -25*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3))**(-38))**(2\/35)*(p*p**0\/p)**(-4\/7)*p**(-2)\/p**(-5) assuming p is positive.\nAnswer: p**(333\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 9*m**2 - 2*m + 20. Let l be w(9). Find the second derivative of -17*x + 12*x**l - x**2 - 4*x**2 + 8*x**2 wrt x.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 462 and 15084069.\nAnswer: 30168138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2 - c + 1. Let a(s) = -376*s**3 + 3*s**2 - 5700. Let w(q) = -a(q) - h(q). Differentiate w(k) wrt k.\nAnswer: 1128*k**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007765 rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 228011043 to the power of 1\/3, to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 51*a + 8. Let r be l(3). Let i = 194 + r. Suppose 3*g - i = -46. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 15) in base 14?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-2)\/(-36))\/((-2)\/8).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*k**2 + 240*k**2 + 296*k**2 + 3*k.\nAnswer: 523*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -19102 take away 672272?\nAnswer: -691374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7669872.99 + 67.\nAnswer: -7669805.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a - 475 + 535. Let z = 13 - 9. Put a, z, 5 in increasing order.\nAnswer: a, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**6\/120 + f**5\/12 + f**4\/24 - f**3\/2 - 2*f**2. What is the remainder when 25 is divided by p(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 4:27 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 1\/3*i**3 + 3\/2*i**2 + 2*i - 32. Factor k(n).\nAnswer: (n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 25\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(2 - 20\/8). Suppose l - i*h + 18 = 5*l, 2*l + 4*h = 24. Which is the nearest to 0? (a) -2\/7 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 62*a**2 - 2*a**3 + 2*a - 45*a**2 + 2*a**4 - a + 111*a**2 as u*a**2 + l*a**4 + n*a + m + f*a**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004998 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8)\/36 + (-27030)\/(-135) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3)**(33\/5) assuming w is positive.\nAnswer: w**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqfdryqryrykf. What is prob of picking 2 r?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 85277302 greater than 85277301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 27 + 8*g + 9\/2*g**2. Let m be r(0). Solve -2 - m = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-9)\/(-12)*480\/72?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/(-3) + 1*-2. Suppose 3*a = a - 3*u + 16, 4*u = -a + 18. Suppose -a*m + 6 = -4. Sort m, r, -4.\nAnswer: -4, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -542*s - 3 + 153*s - 261*s + 3. Let z(i) = -9*i**2. Give z(t(a)).\nAnswer: -3802500*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1392 - 0.1392. Which is the biggest value? (a) -4 (b) r (c) -2\/7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31476 + 72426. What is the ten thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229406790?\nAnswer: 2, 3, 5, 53, 223, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*l**2 + 3*l**2 - 14451*l**3 + l**4 - 3 - l + 14452*l**3 + 1 in the form q*l + a + n*l**3 + v*l**4 + f*l**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1104, 1103, 1102, 1101, 1100, 1099?\n\"Answer: -b + 1105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19461?\nAnswer: 3, 13, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -832 + 1278. Let a = 257 - s. Let k = a + 188.99803. Round k to four decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 3*x**2 + 1\/6*x**3 - 1\/24*x**4 + 0*x + 0. Let l(w) = 138 + 150 - 290. Calculate l(f) + 2*r(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2513324 or 2513240?\nAnswer: 2513240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/127654 and -22\/18011.\nAnswer: 27700918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, d: 2, g: 2, a: 5}. What is prob of sequence dgg?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37 - 231403?\nAnswer: -231344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*n = 868 - 670. Solve 18\/5 - 39\/5*c**n - 111\/5*c = 0 for c.\nAnswer: -3, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(56) - (sqrt(56) + -4*sqrt(56)) - sqrt(56)))\/((sqrt(32) - sqrt(128) - sqrt(32))\/sqrt(4)) + -1.\nAnswer: -15*sqrt(7)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423645 is divided by 1250.\nAnswer: 1145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/(-5))\/(2\/4). Suppose 2*n + 3*n + 3*m = 47, -n = 4*m - 6. Calculate the remainder when 51*(-1 - 16\/u) is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-21 + -4 - -13) - (122 - 4)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2705*w**2 + 583*w - 1169*w + 586*w + 3141 wrt w.\nAnswer: -5410*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**1*r\/(r\/(r**5\/r)*r*r)*r\/(r*r*r\/(r*r*r**(1\/5))*r*r*r)*r*r**3\/r)**(-36) assuming r is positive.\nAnswer: r**(-936\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -63*u + 38*u + 54*u + (2 - 1 - 3)*(-3*u + 0*u + u) - 6*u + 3*u + 4*u + 2*u + 2 - 2 + u + 4 - 4.\nAnswer: 37*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/38905 - -2528609\/2801160. Find the common denominator of m and 76\/81.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 373279 and 1696.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -1006*x**2 + 17*x + 17. Let z(q) = -33370*q**2 + 564*q + 564. Let k(b) = -564*w(b) + 17*z(b). Let h(d) = 3*d - 4*d - 4*d + 4*d. Calculate h(k(s)).\nAnswer: -94*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-426*p**2 - 360*p**2 + 84*p**2)*(-4*p + 0*p + 5*p)*(5 - 5 - p)*(-6 - 8 + 5) in the form k*p**3 + r*p**2 + v + g*p + y*p**4 and give y.\nAnswer: -6318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 147409950?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 23968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40991660*l**3*r - 17*l**2*r - 24*l**2 + l*r + 71*r wrt l.\nAnswer: -245949960*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 130*j + 2. Let c(d) = -312*d**2 + 34*d. Let y(x) = -55*x**2 + 6*x. Let w(i) = -6*c(i) + 34*y(i). What is z(w(b))?\nAnswer: 260*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -404, -797, -1178, -1541, -1880, -2189?\nAnswer: -2462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9522 - 2634 + 56952 = -1120*s for s.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8340049?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 34532142 divided by -11510714\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-2 + -2) - -2. Suppose -22 + 28 = -2*r. Does 14 divide i + r*(-11 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlqrdeplellrqlrlqqd. What is prob of sequence errq?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (190463\/(-3) + -1)*18\/(-12). Suppose -11*o - 155897 - y = 0. Round o to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -211.1 + 211. Which is the nearest to -2? (a) k (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20410627451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -12*(-3)\/20 + (776846\/5 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -278 - -1. Let w = f - -4157\/15. What is the nearest to -2\/9 in 0.5, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrr when three letters picked without replacement from rryyy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 8. Let v = p - -5.4. Let g = v - 1.4. Which is the closest to 0? (a) -5 (b) -3\/4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -1 + -2)\/((-2)\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2392 + 4155. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -47. Find the third derivative of -x*p**2 + p**3 - p**3 - p**5 + 22*p**2 wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.919 - 0.081. What is the second smallest value in -1\/2, -5\/3, y, -0.09?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, l: 1, z: 1, u: 1, q: 1}. What is prob of picking 1 l and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71267262 - -219706869. Suppose 0 = 5*y + 7560393 + v. What is y rounded to the nearest one million?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 13646*y. Let v(i) = 2016*i**2. What is b(v(q))?\nAnswer: 27510336*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -138984 bigger than -138999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/(-2))\/((-9)\/15786) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 2, -5.0541.\nAnswer: -5.0541, -0.03, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - j - 2. Let q(f) = -2*f**2 + 53*f - 73. Let t be q(25). Give w(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 - 2)*(0 + 0 + 3) + (2 + 3 + 3)*(-1 + 0 + 3) - 3 + 1 - 1 - 3 - 1 - 4)*(-2*f**4 + 3*f**4 + 2*f**4).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13604 is divided by 800?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 76548 rounded to the nearest one hundred?\nAnswer: 76500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(2057)*2 + 3 - sqrt(2057)) + -1 + -1*sqrt(2057) + -3*((sqrt(2057) - (1 + sqrt(2057))*-4) + sqrt(2057)))**2*1.\nAnswer: 3960*sqrt(17) + 666572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28597585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/7, 375, -3, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26293 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*15\/5*(-2)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -5, -1, 4, -8, 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49860020 is divided by 1278461.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6, -584, 53 in increasing order.\nAnswer: -584, -6, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 456*f + 9 + 2*f**2 - 20 - 34*f**3 - 459*f + 10 to the form n*f**2 + c + b*f + j*f**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 + 11*p + 2. Give f(-8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-161)\/21 - (-10)\/(-18).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*b = 2484 + 7771. Calculate the remainder when b is divided by 143.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**8)*b)\/((b\/(((b\/b**17)\/b)\/b)*b)\/b)*b*b\/b**(-31)*b\/(b*(b**18*b)\/b*b*b) assuming b is positive.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.021 and 1500146.\nAnswer: 1500146.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2 + 2 + 5 - 2 + 247*k - k**2 - 249*k. Give w(-7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2. Let n(x) = -x**3 - 2*x**2 + 4*x - 4. Let i be n(-4). Let t = 14 - i. Let k(j) = 0*j**t - 3*j**2 + 5*j**2 + 0*j**2. Determine b(k(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y - y + y. Let b(n) be the second derivative of -n**4\/2 + 2*n + 258. What is h(b(z))?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(147) + 1)*6)**2.\nAnswer: 2016*sqrt(3) + 21312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2.6. Let o = 11197 - 11194. Which is the third smallest value? (a) -54 (b) o (c) -1 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 5*b = -7, 5*g - 2*b - 18 = -34 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 3, -3\/5, -17?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1961 + 1965. Calculate the greatest common factor of m and 188.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -895 (base 13) to base 14.\nAnswer: -774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -919558 or -919559?\nAnswer: -919559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 401 + -383. What is the remainder when 117 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*a + 2*a = 12, 0 = -5*a - 15. Let q = 2 + 1. Let u = q + 1. Solve 4*k - 4 = -u*i + 4, 4*k + 13 = s*i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -90.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -84 or -53633?\nAnswer: -53633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*t = 2*r - 23, -3*r + 37 = 5*t. Suppose 0 = 5*l + f + 10 - 34, -r*l + 2*f + 8 = 0. Does 3 divide (l\/42*9)\/((-1)\/(-7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 3*u + 5*u + 1 = 0, 5*a - 25 = 2*u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u + 799 = -1598. Let t = -168 - u. Which is bigger: t or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -403041 (base 6) to base 4\nAnswer: -13300201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4\/5 + 7556*u**3\/5 + 6976202*u**2\/5 - 60614232*u + 643524840 = 0. Calculate u.\nAnswer: -1910, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5931635*m - 7502504 wrt m.\nAnswer: -5931635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -29436*z - 8. Suppose 2*x = -4, 3*a + 2*x = x - 365. Let w = a + 118. Let l be q(w). Round l to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(-2\/29)*(l**(-18))**(-7))**(-14) assuming l is positive.\nAnswer: l**(-51128\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-39)\/(-91))\/((-5)\/(-35)). Solve w - 1 = -x*d + 2*d, -4*w - 2*d - 2 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1246 divided by -178.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 3, -20, -1037013 in decreasing order.\nAnswer: 5, 3, 1, -20, -1037013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 44.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.71 and 48499.\nAnswer: 34434.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15576140 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*j - 0*j. Let i be 1\/((-15)\/12)*j. Sort -3, i, 5.\nAnswer: i, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30184)\/1617*((-72)\/7)\/2.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1988696.7451 + -1988479. Let f = m + -3.1151. Let d = 216 - f. Round d to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m + 23. Let z be v(7). Suppose a + 2*j - 35 = 0, z*a = -0*j - 3*j + 67. Solve -9 = -4*k - a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/40*(-144)\/4536*((-690)\/(-5))\/(-2)?\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -995 - -581. Which is smaller: d or -413?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/1226430 and -145\/18.\nAnswer: 1226430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -187, -414, -731, -1138?\nAnswer: -1635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 11:15 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437391 is divided by 11918?\nAnswer: 8343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 0\/2 + 3. Suppose 3*x - x - 9000 = l. Round x to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.057917 weeks in minutes?\nAnswer: 10663.80336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.4538827 rounded to one decimal place?\nAnswer: 109.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + n = -0*n - 39, n = -4*r + 63. Suppose 10 = -2*c - 2*t, -3*c - 7*t + 2*t = r. Let w = 0.3 + -0.8. Sort w, 2\/5, c.\nAnswer: c, w, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 12:14 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*27\/3 + -1. Let z = -8 - l. Let v(y) = 2*y**2 - y + 2*y**2 - 3*y**2 + 0*y**z - 3. Calculate v(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 4*s**2 - 2*s - 6. Suppose 8 = -4*w + 2*w. What is j(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 4)*(6 - 6 + 2*t)*(-8 - 5 - 4) to the form m*t + h and give m.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-6)*2*-1. What are the prime factors of (-4 - (1 - 1))*a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18349.624 rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 35*m**2. Let l(j) = -j**2 + j + 6. Let t(w) = 14*w**2 - 9*w - 54. Let u(r) = -72*l(r) - 8*t(r). Give u(q(o)).\nAnswer: -49000*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 20*o**3\/3 - 3*o**2\/2 + 228*o. Let i(g) = -g**2. What is i(d(k))?\nAnswer: -1600*k**2 + 240*k - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/(p*p\/(p*p**(-4\/5)*p*p)))*p)\/p*p)\/p**(-2\/69))\/(p**27)**(-14) assuming p is positive.\nAnswer: p**(130696\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f**2 + 0*f**2 - 2*f**3 + (-3*f + 0*f + 4*f)*(-4*f**2 + f**2 + f**2))*(-8 - 5 + 19 - 22 - 14) to n + b*f**2 + d*f**3 + m*f and give d.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -188877 divided by 29?\nAnswer: -6513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2976234733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by (-6)\/(-5)*(69 + -59).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 43810*f + 8436525.\nAnswer: 5*(f + 197)*(f + 8565)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 44*y + 197. Let i be l(-6). Solve i*c = k + 28, 9*c - 8*c - 20 = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2562*w - 2562*w + 0*w**2 - w**2 - 28 as l*w + m + c*w**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n - 2122 = -456. Let o = 94 + n. Let i(d) = -d**2 - d - 1 - 2*d - 2*d. Calculate i(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 105\/(-2)*(-8)\/6. Suppose 2*h + q = 5*r, h - 40 = -2*r - 12. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**2*g*w + b**2 + b*g*w**2 - 94*b*u**2 + b*u*w**2 + g*u**2 wrt g?\nAnswer: b**2*w + b*w**2 + u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-1 - 4) - -1) + 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101000100 (base 2) to base 4.\nAnswer: 31010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41396 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 3*a**2 - 1. Let c(w) = -w**2 + 9*w + 16. Let g be c(11). Let n be g\/27 + (-3 - 29\/(-9)). Suppose -6*l + 0*l + 18 = n. Determine j(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3551855535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 170659\/24 + -7109. Calculate the common denominator of n and -121\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45.4 + -6.6. Let k = 54.04 + p. Round k to 1 dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565512074 to the power of 1\/2, to the nearest integer?\nAnswer: 23780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14788748 divided by 4\nAnswer: 3697187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5*c - 31, -c = -2*k + 4*k - 13. Suppose k*u - 6 = 10. Suppose -u*i + 214 = -s, -5*i + 5*s + 649 - 104 = 0. Is 15 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10553.\nAnswer: 61, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*d + 24, -4*d = -i + d + 24. Let y = -2 + i. Find the second derivative of -h**2 + h + 2*h - y*h**2 + 2*h**2 wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l + 4 = 18*l. Let p(h) = -h**2 + h + 1. What is p(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*6\/9*6. Suppose -m = l - 1 - 2, -z*m - 2*l = -16. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + (sqrt(396) + sqrt(396) + (2*sqrt(396) - sqrt(396)) + -3 + -2 - (-5 + (0 + -1 + sqrt(396))**2))*-3).\nAnswer: -360*sqrt(11) + 4784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -330f - 1?\nAnswer: -3310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**0*t*t**(-3\/5)*(t*t\/((t\/t**2)\/t))\/(t*t\/t**(-3)))\/(t*t**(9\/5)*t**(-1))**(1\/38) assuming t is positive.\nAnswer: t**(67\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39060204, -78120413, -117180628, -156240849, -195301076?\nAnswer: -234361309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14394*k**3 - 2125*k**2 + 2*k + 3 wrt k?\nAnswer: -86364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 7*x - 10. Let h be -3 - (2 - 6) - 8. Let g be l(h). Let n be (g\/15)\/((-2)\/15). Solve n = 6*t - t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008874 to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.18 and 56202.\nAnswer: 56201.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - h - 11 = 3*h, 24*w = 21*w - 21*h - 87 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.1, -17\/6, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, -2\/3, 17\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.184 - 0.084. Let y = -4 - -4. Which is the biggest value? (a) -2\/7 (b) j (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7854.56 - -7851.02051. Let g = o + 3.502. Round g to three dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 413 and 97898346?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83\/1*(-12 - -13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/6))**(-4\/3)*v\/(v\/(v*v**(-1\/14)))*v*v**(-5) assuming v is positive.\nAnswer: v**(-415\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c - 15. Let n(g) = 28*g - 86. Let u(k) = 34*l(k) - 6*n(k). Let h be ((-1)\/2)\/(1\/4). Let m be u(h). Solve 6 - m = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -437*j**2 + 224*j**2 + 214*j**2. Let b(o) = -112*o**2. What is b(m(d))?\nAnswer: -112*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162115 and 3433.\nAnswer: 556540795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 - 11 + 3*n**2 + 2*n**4 + 12 - 3 to the form w + g*n**2 + z*n**4 + y*n + r*n**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 603, 1371, 2445, 3825?\nAnswer: 5511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22841047*n + 18702045 with respect to n.\nAnswer: -22841047","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2912565, 11650244, 26213041, 46600956, 72813989, 104852140?\nAnswer: 142715409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/19 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(2448) - -2*sqrt(17)*2.\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axj when three letters picked without replacement from {a: 7, x: 6, j: 4}.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -955028.68 to the nearest one thousand.\nAnswer: -955000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.02 from 28712509573.\nAnswer: 28712509573.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6321027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(77)*-3 - -1*3*sqrt(77))\/((sqrt(220) + sqrt(220)*3)\/sqrt(5) - 6*-3*sqrt(44)).\nAnswer: -3*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + x + 2. Let n be o(0). Factor 0*j**3 + 6*j**2 - 3*j**3 + j**3 - 6*j + n*j.\nAnswer: -2*j*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2981 + -2986. Sort 3, t, -88.\nAnswer: -88, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-193*r - 238*r + 202*r)*(-4 + 3 + 3 - 2*r) in the form w*r**2 + i*r + p and give i.\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.12741 rounded to two decimal places?\nAnswer: -1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 8336*x - 4343056.\nAnswer: -4*(x - 1042)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -208*g**3 + 260*g**2 + 260*g + 260. Let z(d) = 1 + d + d**2 - 3186*d**3 - 3213*d**3 + 6398*d**3. Give w(m) - 260*z(m).\nAnswer: 52*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 8*h - 59. Give r(9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 723502?\nAnswer: 7958522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, t: 1, n: 1, m: 2, z: 1, e: 1}. Give prob of sequence mem.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 258251 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 57, 59, 63, 69?\n\"Answer: u**2 - u + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*q - 67*q - 56*q - 69*q - 74*q - 68*q + 377*q.\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25812386804528147 + -17417372619314207692909\/674768. Let l = z - -248\/42173. Let w = -5391 + l. Calculate the common denominator of w and 33\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dzu when three letters picked without replacement from zdviiuvzqzvdzzdzvzzq?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 739279373 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 516978.9 years to millennia.\nAnswer: 516.9789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**4 - 976*p**3 + 46700*p**2 + 53584*p - 286224 = 0. Calculate p.\nAnswer: -3, 2, 67, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 8 + b + 4 - 2. Suppose 5*m + 5 = -5*z, 5*z = 3*m + 7*z + 7. What is d(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/142 or 1?\nAnswer: -3\/142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 46945, 187779, 422503, 751117?\n\"Answer: 46945*q**2 - q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) -1\/3 (c) 1\/2 (d) -0.03 (e) -1\/72\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16205 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -163*d**3 - 40*d + 0*d - 120*d**3 + 319*d**3 - 4*d**2 = 0.\nAnswer: -1, 0, 10\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7233 and 372.\nAnswer: 896892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -20\/27, 6, 16, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - -4 - (0 + 8\/(-6)). Suppose 0 = -5*b + 5 + 5. Factor -8\/3 + 8*j - f*j**b.\nAnswer: -2*(j - 2)*(5*j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 101?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1272*t - 190*t - 103872 for t.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 14. Suppose -s - 2*l = 1, -l + k = s + 3. Find the third derivative of -5*o**2 - 3*o**3 + o**3 + o**3 + 7*o**s wrt o.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f - 2. Let a be p(-2). Suppose -4*r - r = 5*m - 280, 0 = -m - 5*r + 72. Let h(x) = -110 + 3*x + m + 52. Give h(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 3*q + 36, 0 = -61*x + 30*x + 26*x + x - 5*q - 6 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 13*t - 28. Determine j(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-21 + 21) - (33 + (-1 - 3)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 5. Suppose y = -v + 2. Suppose v = -w - 2. Let x(d) = -d**3 - 4*d**2 - d + 4. Calculate x(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**6\/30 - r**5\/30 - 5*r**4\/24 + 145*r**2. Let l(q) = 5*q**3 - 3*q**2 - 6*q. What is -2*l(n) + 3*s(n)?\nAnswer: 2*n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -470 (base 16) to base 3\nAnswer: -1120002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 35\/25 + (-4)\/10. Let m be (4\/(-10))\/(t\/(-730)). Let s = -120 + m. Round s to the nearest ten.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*c = 15*c + 82. Solve 5*k = 5*i + 10, 4*i = -2*k - c*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1080)\/(-432)*16\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6033 + 6033.007923. Round i to four decimal places.\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of 0 + 2\/9*p**3 - 2\/3*p**2 + 1\/36*p**4 - 20*p - 1\/60*p**5. Solve l(g) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 3 + 7. Let m(t) = 6*t - t**p - 2*t + t**3 - 2*t**3 - 4. Let g(i) = i - 1. Determine 4*g(u) - m(u).\nAnswer: u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-8)*(-4460)\/(-6021)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.5 + -41.5. Let r = 93 - 135. Let s = z - r. What is the smallest value in -2\/11, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 h, and 1 p when three letters picked without replacement from qqrapappqpaqh.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + k - 1. Let p(f) = 4*f**2 + 8*f - 8. Let q(r) = -7*r - 204. Let s be q(-29). What is s*p(y) + 6*m(y)?\nAnswer: 2*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11994193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2. Let v(o) be the second derivative of o**6\/90 - o**3\/2 + 3*o. Let d(n) be the second derivative of v(n). Give d(a(r)).\nAnswer: 16*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-66) + (-37896)\/2640 + 14.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 + -31. Suppose 0 = -5*h + l + 50. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.26*-2.\nAnswer: -12.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -142757623 - -0.3.\nAnswer: -142757622.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(((sqrt(35) - 2*sqrt(35)) + sqrt(35) - sqrt(35))\/sqrt(5)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -19*p + 75. Give k(12).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*g**4 + 549*g - 1864702?\nAnswer: -84*g**3 + 549","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (275*k**4 + 274*k**4 + 506*k**4)*(-3*k + k - k).\nAnswer: -3165*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 2*k - 4*z - 106, 2*z - 2 = 0. Let p = 25 + k. Let f be (-4)\/(2\/2 + -2). Solve f*m = -p*b - 25 + 9, 3*b - 8 = 2*m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22838.\nAnswer: 2, 19, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2900 - -2917. Solve -u*b = -30*b + 39 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5738, 8831, 11924, 15017?\n\"Answer: 3093*g + 2645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*6\/14*(-49)\/28. Suppose o*q - 95 = -2*t, 3*t - 1 = -16. What are the prime factors of q?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -b + 31287, 27180 = 2*b + 5*y - 35409. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 70. Calculate the remainder when 42 is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 0.6, -2, -3, 272 in decreasing order.\nAnswer: 272, 3\/2, 0.6, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 286774.44 months in centuries?\nAnswer: 238.9787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21015, -21363, -21949, -22779, -23859, -25195, -26793, -28659?\nAnswer: -30799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*l - 10, -2*l - 5*i + 7 = 2*l. Let o(s) = -15*s - 11. Let q(y) = 3*y + 2. What is l*o(g) - 11*q(g)?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/(v*v**(-6)*v*v))\/v)\/v**(-7))**(-19) assuming v is positive.\nAnswer: v**(-209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 864 is divided by 430.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -37\/1495 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.2, -2\/15, 1, 0.4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 2\/25, 1\/2, 14\/3?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0302 take away 20.31800112?\nAnswer: -20.28780112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*t - 25 = 0, -2*n + 7*t - 2*t - 26 = 0. Put 3, 4, -4, n in decreasing order.\nAnswer: 4, 3, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3634414 is divided by 14774?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -80 + 108. Let d = -30 + z. Is d - (-2)\/((-10)\/(-2415)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + q + 5. Let l be u(0). Suppose 9*h - 4*h = -l*z + 55, -5*z - 20 = 0. What is the highest common factor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h - 9*h + 2*h)*(h + 0*h - 3*h) + 0*h - h**2 + 0*h + 993 - 54*h**2 - 993 + (2*h + 1 - 1)*(-2 - 2*h + 2) as v*h**2 + q + k*h and give v.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.7 in -33, -4, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -0.89, -0.02 in descending order.\nAnswer: -0.02, -0.89, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -5691828280 and 45.\nAnswer: -5691828235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49233387 - -49233613.99903. Let g = 227 - b. What is g rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*o + 10*o**4 - 14*o**4 - 40*o**4 + o**4 - 25*o**4 - 3*o**2 to the form l*o**3 + q*o**4 + m*o**2 + d*o + v and give q.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-14))\/((-5)\/(-10))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u. Let x(i) be the third derivative of i**8\/20160 + i**5\/12 - 8*i**2. Let w(n) be the third derivative of x(n). Determine k(w(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(153) + sqrt(153) + sqrt(153) + sqrt(153) + -2)*4)**2 + -1.\nAnswer: -768*sqrt(17) + 39236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0101361607226 + -2?\nAnswer: -1.9898638392774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ormrmormromooro. Give prob of sequence orm.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 5*f - 17, 25 = 5*p - 31*f + 26*f. Calculate the greatest common factor of p and 799.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 220\/3)\/(3199\/(-2742)). Solve u = -21*o - 43 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhmmhhh. Give prob of picking 2 h and 1 m.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*r - 12*r + 6*r)*(2 + 0 + 4).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/30 - 1\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 362874299?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbi when three letters picked without replacement from {s: 3, f: 1, y: 4, i: 1, b: 9}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**5\/60 - 7*g**3\/3 - 2*g**2. Let u = -36 - -57. Let a = u + -21. Determine j(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3728747 grams to tonnes.\nAnswer: 0.0000003728747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7*((-6)\/63)\/(3\/9). Suppose s*b + 366 = 4*y + 4*b, -4*y + 2*b = -354. Let f = 25 - -11. Calculate the greatest common factor of f and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-543)\/(-27) + ((-35)\/45)\/7. Let i(q) = -q**3 + 2*q**2 + 4*q + 5. Let o be i(-5). What is the greatest common divisor of w and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 5\/2, 8\/5, -20, 0.2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) + 1 + sqrt(98))*-1)**2 - -1*sqrt(98)*-2) + -2 - ((sqrt(98)*-3 + sqrt(98))**2 + -4 + (sqrt(98) + (sqrt(98) + 1)*-6)**2).\nAnswer: -2483 - 406*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3669.4 + -0.6.\nAnswer: 3668.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*25\/(-250))\/(6\/16).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 197?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 14*f**2 + 1\/6*f**5 + 1\/6*f**6 + 0 - 25\/24*f**4 + 5\/336*f**8 + 5\/3*f**3 + 0*f - 2\/21*f**7. Suppose m(i) = 0. Calculate i.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from ttkktktkttt?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k**2 + 11*k + 82. Let w(m) = -7*m**2 - 10*m - 81. Let j(x) = 6*w(x) + 5*y(x). What is the first derivative of j(g) wrt g?\nAnswer: -14*g - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.7 + -5. Is b at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 7*r**3 + 8*r**3 - 4 + 4*r**2 as h + x*r + j*r**2 + u*r**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -4*f - 21, 2*a = f + a + 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10098\/(-216) - -46 - (-23)\/4. Is i bigger than 679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1047875 is divided by 149694?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 4:23 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3\/3 + 245*j**2\/3 - 12232*j\/3 + 139876\/3 = 0. Calculate j.\nAnswer: -289, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**3\/3 + 9*w**2\/2 - 9*w + 8. Determine l(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*f**2*h*n**2 + 2*f**2*n**2 + 7*f**2*n - 2*f*h*n**2 - 6270*f*n**2 wrt f.\nAnswer: 90*h*n**2 + 4*n**2 + 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rogzrvl. What is prob of picking 1 g, 1 l, 1 r, and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3455 + -3453. Solve -w = 5*d + 2*k, 0 = -d - k + 4*k + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -526.994 + 3588.\nAnswer: 3061.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-5))\/(3\/(-75)). Let a = b + 15. Suppose a*f = 4*f. Solve f = -r + 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1183.95 to the nearest ten.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -549*w - 513*w + 1406*w to the form k + h*w and give h.\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1600 and 29776.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 412234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 s when two letters picked without replacement from {b: 3, m: 2, s: 3, h: 1, e: 3, k: 7}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/14*(-3)\/6. Let t(m) = -m - 6. Let h be t(-6). Let z be 0*(h - 0 - 1). What is the nearest to 2\/9 in z, u, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {l: 9, m: 4, x: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2012*p - 1985*p - 270 = 0 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -5*w + 31. What is the units digit of 350\/w + 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/(-18) - 11)\/5\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 2926, -45, 2, 3.\nAnswer: -64, -45, 2, 3, 2926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 332893189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - 2*g + 3*h + 6, 2*g - 4*h - 16 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 400*n**2 - 7149*n - 25020.\nAnswer: (n - 20)*(n + 3)*(n + 417)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 11*r - 2. Let t be o(-11). Let v be (t\/1 + 1)*-2. Suppose v*w = d - 24, 3*d - 6*d = 3*w - 36. Does 6 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2591276 rounded to 3 decimal places?\nAnswer: -0.259","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3427 smaller than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41649 - 41648. Is 1\/18441 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzqq when four letters picked without replacement from vvzqq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**2 - 5*y + 5*y + (-y + 0 + 0)*(y + 2*y + 0*y) + (9 - 9 - 4*y)*(-7*y + 3*y + 0*y) + 1 - 1 + y**2.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 1131*d**3 - 116*d**2 + 116*d - 116. Let r(v) = -29*v**3 + 3*v**2 - 3*v + 3. Give -3*o(z) - 116*r(z).\nAnswer: -29*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f - 21. Give c(-8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.298102125 - 0.198106955. Let n = 1.1 - s. Round n to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (6 - (-14 + 15)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/8904 and -1\/2968.\nAnswer: 8904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooaaoaaaaaaoao. What is prob of picking 3 o?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15205 + -15205. Suppose -12*h + 9*h + 12 = 0. Suppose 0*c**2 + 2*c**3 - 4\/3*c**h - 2\/3*c + i = 0. Calculate c.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**4 + 38*f**3 - 14*f**2 - 576*f - 766. Let g(d) = -d**3 + d**2 - 1. Let z(o) = 2*g(o) + t(o). Solve z(m) = 0 for m.\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.075291 meters to centimeters.\nAnswer: 307.5291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151 = 5*k + f - 135, 8*f + 5 = 4*k - 9*f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.921 and 5498.\nAnswer: 5497.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a micrometer in nanometers?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 29*v + 112, 554*g - 16 = 553*g + 3*v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/10, -19, 4, 1\/113 in descending order.\nAnswer: 4, 3\/10, 1\/113, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpprfrprpr. What is prob of sequence rpf?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -12.4. Let p = 1883\/9 + -209. What is the closest to -0.1 in s, p, -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 12. Let u be t(-13). Let v be 22 + u + 5 + -8. Let x(s) = s**3 - 18*s**2 + s - 14. Let n be x(v). What is the greatest common divisor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**2 + 19*r - 3. Let m be u(6). Sort m, 1, -6 in increasing order.\nAnswer: -6, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 547 + -543. Which is the closest to 0? (a) -0.2 (b) x (c) -2\/9 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(190)\/sqrt(10))*-5)**2.\nAnswer: -250*sqrt(19) + 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1472625*g + 10191 = 1472862*g for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (6 - -1) - -324. Calculate the greatest common divisor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5 - 6*o**3 + 4 - 6*o**3.\nAnswer: -12*o**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(275) + (sqrt(275) - (1 + sqrt(275))*2) + sqrt(275) + sqrt(275) + -6*(sqrt(275) + 0 + sqrt(275)))*-1)**2.\nAnswer: 7200*sqrt(11) + 990144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/3*25*(-96)\/(-1600).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 3*p - 156. Factor p*m**5 + 10*m**2 - 8*m**3 + 3*m**5 - 17*m**3 + 10*m**3.\nAnswer: 5*m**2*(m - 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 0 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2159*y - 25912. Give u(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80910 + 5039 = 5*v - 2*o, -o = -15*v + 257887. Calculate the remainder when v is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 10 + -21 + 1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r - 24*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 4 = -9*r. Calculate the highest common divisor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4751 - 4727. Let l = -2 + 5. Let v be (z\/9)\/(-2*(-1)\/l). Solve -3*j + 4 = -v*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 4*g**2 - 3*g - 10. Let r be l(5). Let w(t) = -t**2 + t + 385. Let f be w(r). Let k = f - -1668. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.1, -2\/13, -3, -2, -341, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1 (b) 5 (c) 1\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and 192?\nAnswer: 3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -625564114, -625564113, -625564112, -625564111, -625564110, -625564109?\n\"Answer: b - 625564115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -10, 24, 0.5, 4\/13, -2\/17, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001156 to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/(-16)*(5 + -1). Let x = 14 - o. Suppose 3*f + 5 = -3*a + 2, -7 = -2*f + a. Solve 5*m + f*y - 5 = 0, 5*y + 5 = -5*m - x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, 2, -294, -0.05?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*i + 8*i + 33*i + 31 + 25*i - 7*i as l + o*i and give o.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqz. Give prob of sequence qz.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 82\/8 - ((-36)\/(-16) + -2). Suppose 0 = -23*h + 13*h + z. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 742 = -63*g - 90*g + 47*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 11:31 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166 - 150 - (-18 + 9 - -3).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -q**6\/27 - 2*q**5\/45 + q**4\/6 + 2*q**3\/27 - 2*q**2\/9 - 73. Solve l(r) = 0 for r.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/8 + ((-1)\/(-4) - 1). What is the third derivative of 665*h**3 - 692*h**t + 3 + 28*h**2 - 3 wrt h?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**2 + 6*u + u**2 - u**3 - 9 + 3*u. Let b be c(8). Let s = -30 - -27. Sort 4, b, s in ascending order.\nAnswer: s, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - 32. Let f be ((-147)\/(-6))\/(3\/18). Is f\/g + 10\/40 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o = 4. Let n be (-5 - (-4 + 1))*o. What is the units digit of -3 + ((-24)\/(-9))\/(n\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -9. Let o be ((-2)\/1)\/((-1)\/(-2)). Sort x, 2, o in descending order.\nAnswer: x, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 3*o + 3. Let s(t) = t**2 + 2*t + 3. Let g(q) = 4*s(q) - 5*v(q). Let l be 8\/10*(-15)\/(-6). Suppose l*k + 25 = -3*k. Calculate g(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 259 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 289717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/9)\/d)**(-39))**(1\/57)*((d\/(d*(d\/(d*d*d*(d*d**(-7)\/d)\/d))\/d))\/d*d**(-3\/7))\/(d**(-2\/13)\/(d*d**(-1))) assuming d is positive.\nAnswer: d**(-84628\/15561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 1 + 11 - 14 - 6*o - o**2. Let s be l(-4). Calculate the greatest common factor of s and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19141 divided by -9.\nAnswer: -19141\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 550 and 90?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 + 5*h + 5. Let q(g) = 3*g + 13. Let s be q(7). Let j = -34 + s. Suppose 2*z + 0*z = j, 8 = -2*p - 3*z. What is y(p)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-three fifths of a litre?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.28323m to kilometers.\nAnswer: 0.08628323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**2*u**5 - 12145*s**2*u**3 - 240*s**2 + 2*s*u - 2 wrt u.\nAnswer: -40*s**2*u**3 - 72870*s**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10296080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzkzzkk. Give prob of picking 2 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4087292l in millilitres?\nAnswer: 408.7292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t + 61 - 61 - t**4)*(-3 + 0 + 1 - 8 - 12 + 14 + (-1 + 1 - 1)*(1 + 2 - 2)) as k*t**2 + r*t + n + i*t**4 + x*t**3 and give r.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1531364 take away -106078?\nAnswer: -1425286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*c**3 + 17*c**2*t + 40*c**2 + 7*c*t - 633*t - 27 wrt c.\nAnswer: -12*c**2 + 34*c*t + 80*c + 7*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 244 + -209. Suppose 21 - y = -2*d. Solve 0 = -5*w + d - 12 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -494*p**3 - 24160*p**2 - 7988400 wrt p.\nAnswer: -1482*p**2 - 48320*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**3 + 4*b**2 + 6*b + 3. Let s be h(-1). Suppose -s*w + 5 = -4. Solve 0 = w*p - 5*d + 16, 3*p - d - 4 = -0*d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/((-12)\/(-16)))\/((-4)\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/70 and -141\/70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**9\/15120 - p**6\/144 + p**5\/20 - 3*p**2. Let g(c) be the third derivative of h(c). What is the derivative of g(o) wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3712 + 3712 - t**3 - t**2 + t**2.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 42421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7, 21, 61, 139, 267, 457, 721?\n\"Answer: 2*m**3 + m**2 - 3*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 19 = 17*h. Suppose 2*x = -7*l + 2*l + 1973, 4*x + h = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.039 - 1052.\nAnswer: -1052.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**3 - 16*s**2 - s + 37. Let h be g(11). Suppose 8*v + 583 = 3*o + 4*v, h = 4*o + v. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d. Let q(z) = 326*z. Determine j(q(b)).\nAnswer: 978*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -62.3, 0.4, 2, 1, -4, 2\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (745\/9685)\/((-108)\/(-442))*27?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9281 and -881.74.\nAnswer: -10162.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -22. Suppose s*h = h + 12. Find the third derivative of -13*z**2 - z**h + 19*z**2 + 4*z**6 wrt z.\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 4*t**4)*(-34*t + 67 - 67)*(-5 + 6 + 1).\nAnswer: -272*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -775 + 776. Let y(d) = 4*d**2 - 1. Let c be y(6). Suppose 4*r - c = t. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/3)\/((-1)\/(-3)). Suppose 10*a - 8 = 6*a. Suppose b*u + u - 241 = -3*d, 2*u + a*d - 98 = 0. What are the prime factors of u?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(4)*-6)**2 + sqrt(13) - (((-4*sqrt(13))**2 - sqrt(13)) + sqrt(13))*6.\nAnswer: -780 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*u + 8, -3*u = -g - 3*g - 6. Let d be 0 - u*3\/(-6). Let o be 8\/(-30)*9 - -2. Which is the closest to 0? (a) 2\/7 (b) d (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2490856 less than -0.1?\nAnswer: 2490855.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/856 and -16\/79929.\nAnswer: 639432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -239886 and 15.074474.\nAnswer: -239870.925526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f + 9. Let z(o) = o + 6. Let r be 6\/10 - 198\/(-45). What is r*g(s) - 8*z(s)?\nAnswer: 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, u: 6, n: 1, l: 1, y: 2, v: 5}. What is prob of picking 2 y and 1 u?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 176\/35 + -3 + -36*(-60)\/(-1350)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 + 6 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200 - -12201211?\nAnswer: 12201011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*q + 832 - 1594 + 760.\nAnswer: 39*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, -5\/2, -13?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3*(2*sqrt(704))**2.\nAnswer: 8449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (98 - 66 - 130)*(-4*w + 0*w + 0*w) + 0*w - w - w.\nAnswer: 390*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3929937 is divided by 629?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/276 and 77\/24.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 65. Let d = -40 + k. Is -1*d\/(-4)*(-377)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -160, -346, -580, -886, -1288, -1810?\n\"Answer: -4*u**3 - 158*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2277671 to three decimal places.\nAnswer: 0.228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -13*u**5\/10 + u**4\/3 - 95*u**2 - 2*u + 34. What is the derivative of s(g) wrt g?\nAnswer: -78*g**2 + 8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -6*t - 6. Solve 5*d = 4*o + 20, -t*o = 6*d - 8*d + 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/266619400 and -51\/190?\nAnswer: 266619400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*l**2*p - c*l - 2403*l**2 - 33354*l*p + 2*p with respect to p.\nAnswer: -c*l**2 - 33354*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(36\/(-27))*((-14)\/2)\/903?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1699722?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -310.9 - -99.644312.\nAnswer: -211.255688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/(-25))\/((-4)\/(-10)). Let c = -0.72 + 1.02. Sort k, c, 2\/9, -0.3.\nAnswer: -0.3, 2\/9, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54.059 - 0.059. Let p = c - 49. Which is bigger: p or 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w + 10. Let a be r(3). Suppose a = -4*c + 5. What is the tens digit of 90\/c + ((-20)\/2)\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.9 + -3. Let v be 1 + -2 + (-12)\/(-9). Let b = 8.5 + -9. What is the closest to o in 0.1, b, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-225) - (-6)\/(-27).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 261.2964 to the nearest integer.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 3 = 3*q. Let n = 1 + q. Sort n, -3, 0.\nAnswer: -3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0, 5 in increasing order.\nAnswer: -7, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -432, -587, -820, -1125, -1496, -1927, -2412?\n\"Answer: q**3 - 45*q**2 - 27*q - 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-5)\/(-4))\/(16*(-2)\/(-64))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14326419397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -13*v + 779 - 778 + 12*v. Let c(r) = 15*r - 4. Calculate 5*b(y) + c(y).\nAnswer: 10*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l + 4*l + 2*l)*(-1 - 1 + 0) + (7*l - l + 5*l)*(2 - 1 + 0) + 0*l + 0*l + l as a*l + f and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*p**3 + 16*p**2 - 3 wrt p?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**23\/(r*r**(-15\/2))*(r**(-1\/16))**(-2\/3) assuming r is positive.\nAnswer: r**(709\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 5*d + 10, 3 = 2*d - 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4089611 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1020, -1001, -978, -957, -944?\nAnswer: -945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 522152 and 913766?\nAnswer: 3655064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*t = 112*t + 75 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 9*p**2 - 43*p + 476. List the prime factors of u(18).\nAnswer: 2, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.4, -1\/82, -1\/6, -3\/4, -69\/7, 0.7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -328.204996 + 0.3?\nAnswer: -327.904996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9733 times -262\nAnswer: 2550046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1300*f**2 - 450*f**2 - 1323*f**2 - 1730*f**2 - 7265*f**2.\nAnswer: -9468*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/3*60\/120)\/((-7)\/(-189)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 95*v + 318 + 157 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 1384*j - 4170. Calculate r(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 5)*(2 + 4 - 3)*(3 - 3 + 2*u).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - 0.8. Suppose 3*p + n - 4 = -p, 3*n - 12 = 0. Which is the nearest to p? (a) 3\/2 (b) r (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*g - 4, 4*j - 2 = 5*g + 6. Solve j*q - 3 + 7 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1911, 0, 4, 76, -4 in ascending order.\nAnswer: -4, 0, 4, 76, 1911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 1327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1077?\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4781, 4347, 3911, 3473, 3033, 2591, 2147?\nAnswer: 1701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a = 16*a - 7670. Let v = -572 - a. Suppose 5*w = 5*g - 2430, 2*g - w = 3*w + v. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h*t**3*v**3 - 3*h*t**2*v**3 + h*t**2*v - 16*h*t**2 - 365*h*t*v - h*v**3 + 3420*t**3*v**3 - 1414*t**3 + 50*t**2*v**3 wrt t?\nAnswer: 12*h*v**3 + 20520*v**3 - 8484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -256, -578, -998, -1564, -2324?\n\"Answer: -8*x**3 - x**2 - 263*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 229*x**4 + 271 wrt x.\nAnswer: 916*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + 5*z**3 + (-3*z + 0*z + 2*z)*(z**2 + 4*z**2 - 4*z**2) - 5*z + 5*z - 14*z**3 as f + o*z + l*z**2 + t*z**3 and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvaayphh. What is prob of picking 2 h and 1 t?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 - -42. Let z = f - -61. What is the second smallest value in z, -4, 2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 12*v - 52. Let y be j(5). Suppose 22 = y*l - 10*l. Suppose 12 + 4 = -4*p, 3*m + 5*p + 14 = 0. Which is the nearest to m? (a) -0.1 (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -64, -0.5, 277?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -b - 3*i - 18, -b + 17 = -4*i. Let a(s) = 9*s**3 + 2*s**2 + 3*s - 13. Let h(t) = 4*t**3 + t**2 + t - 6. Let z(w) = b*a(w) + 7*h(w). Give z(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35939741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, u: 6, p: 3, e: 7}. Give prob of sequence pu.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 4\/9, -5\/1427?\nAnswer: -5\/1427","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 9*b - 15. What is the units digit of g(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 677144827 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**3 - 63630*b**2 + 63625*b = 0.\nAnswer: 0, 1, 12725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48709?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -408 + 110*g**5 + 7*g + 202 + 208 wrt g?\nAnswer: 2200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -169*r + 943. What is the units digit of u(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/83 and 57\/4067.\nAnswer: 4067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p**2 + 17*p**2 - 2491768 + 2491768.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 + 1.4. Which is the nearest to l? (a) -2\/13 (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + -1. Let h = 0.55 - 0.05. Which is the closest to 1\/2? (a) d (b) h (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -46, 4, 105, 178, 3 in increasing order.\nAnswer: -46, -4, 3, 4, 105, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.96 and -6713?\nAnswer: 6713.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/20 + 3\/5 + (-6164)\/(-3216)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*h - 168*h - 194*h - 192*h + 733*h.\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(121)*-1)\/(sqrt(275)*2))**2.\nAnswer: 11\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 4:34 AM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 7*u - 7*u + 1 to the form o + b*u and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 130*o**2 - 8*o + 1. Is k(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 2070.\nAnswer: -1\/1035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {f: 3, o: 4, k: 1, n: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (0 + -2) - 2. Let d = -191 + 190. Let b(l) = 3*l**2 + 2. Let r(n) = n**2 - 17 + 44 - 28. Calculate d*b(j) + v*r(j).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j + 147*j**2 + 3*j. Let g(c) be the second derivative of -c**3\/6 - 116679*c. What is g(a(l))?\nAnswer: -147*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16800891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: a8dbc (base 15) to base 5\nAnswer: 114130402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1331 - 452. Which is the third smallest value? (a) d (b) -0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - -2 - -5 - 1. Let n(v) = 6*v - 9*v + m*v. Let r(f) = -3*f. Give n(r(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.5832 + -0.0132. What is h rounded to 0 dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48 - -1 - 2) + (42 - (36 + (-63 - -80)))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*h + 603 = 1539 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 1 + 4)*(0 - 3 + 1) - 1 + 1 - 2)*(76 - 10 - 28)*(-6*h + 3*h + 4*h) to m + r*h and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -732 + 1002. What is the highest common factor of b and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-648)*18*(-2)\/(-3).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324 at least as big as 1324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(1008) + 0 + -1 - sqrt(1008) - (1*-2*sqrt(1008) + sqrt(1008)))**2 + (3 + -5*(-1 + sqrt(1008)))**2).\nAnswer: -105092 + 3936*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 2. Suppose b = -u*b + 3. Suppose b*j = -2 + 32. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/305?\nAnswer: 1\/305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4549044789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - -21) + (8 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 10 - 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 76 - -ab?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2581 - 0.5.\nAnswer: -2581.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29622087357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*t**4 - 1270*t**3 + 6260*t**2 - 8730*t + 3735 = 0. Calculate t.\nAnswer: 1, 3, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11689763\/20745 - 133\/2305. Let m = -562 - v. What is the common denominator of 56\/9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/h**(-2\/9))**(-2\/41)\/(h**(-1)*h**6))**(1\/45))**16 assuming h is positive.\nAnswer: h**(-6032\/3321)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**4 - 507*w**3 + 14883*w**2 - 63513*w + 49140 = 0.\nAnswer: -195, 1, 4, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5476 + 5475.8. Sort 10.87, -0.4, x, 4 in ascending order.\nAnswer: -0.4, x, 4, 10.87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/3)\/((-30)\/(-16)*3\/330*22)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -148 + -221. Let n = y - -861. List the prime factors of n.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssy. Give prob of sequence ss.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 0*k - 44\/9*k**3 + 0 + 8\/3*k**2 = 0.\nAnswer: 0, 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1216, 1254, 1350, 1534, 1836?\n\"Answer: 5*h**3 - h**2 + 6*h + 1206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f - 2*f - 5*f + 4*f + 2*f.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c - 5. Let z(d) = -8*d + 10. Determine 11*x(u) + 6*z(u).\nAnswer: -4*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -z**2 - 2. Let c(w) = -29*w**2 - 3 + 3 + 43*w**2 + 27*w**2. What is c(t(q))?\nAnswer: 164*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 544842375 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/29)*(h**2\/h)\/h*h*h\/((h\/(h*h*h**8))\/h)*h\/(h\/(h**(-3\/5)\/h)*h))\/((h*(h**(-1\/3)\/h)\/h)**(-44))**(-8\/7) assuming h is positive.\nAnswer: h**(232573\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 24*v + 39. Let d = 9673 - 9649. Determine i(d).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4785443 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1803.77956 to the nearest integer.\nAnswer: -1804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 167054391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {p: 2, v: 2, u: 8}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of -1\/5*s**3 + 1\/25*s**5 + 1\/20*s**4 + 4 - 1\/10*s**2 + 2\/5*s. Factor h(x).\nAnswer: (x - 1)**2*(x + 1)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -3, -11, 0.4, 14, 1.\nAnswer: -11, -3, 0.4, 1, 4\/3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3 - 3. Let r be (-3)\/(-2) + 3\/l. What is the first derivative of 4*j**4 + 1 - r*j**4 + 1 wrt j?\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and 0.2.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 856800.6 nanograms to tonnes.\nAnswer: 0.0000000008568006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-25*14\/70*2\/(-15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -14*f + 25 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 15.9. Let y = -0.02 - -0.22. Which is the smallest value? (a) 2 (b) l (c) -20 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -699 + 698. What is the nearest to r in -0.1, 2, 0.025?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 3 (c) -0.4 (d) 38 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 3 + 3. Suppose -w + 2 = z, -3*g - 40 = -4*g - 3*w. Let h = g - 1. What is the remainder when h is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 155*n - 126. List the prime factors of i(9).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6484 - 2194. What is s rounded to the nearest one hundred?\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2 (b) 4 (c) -0.1 (d) 308 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(243)*2*2.\nAnswer: 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + 110 + -13 - 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 6) in base 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3943 = 811*w + 8222 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 392819423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3147*a**2 + 1045*a**2 + 1050*a**2 + 1059*a**2.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**5\/10 + 5*g**4\/6 - 8*g**3\/3 + 4*g**2 - 10*g. Factor a(r).\nAnswer: -2*(r - 2)**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**1))**(-20)*j**(-16)\/(j*j*j**(-1\/3)\/j) assuming j is positive.\nAnswer: j**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 8. Let a be y(-5). Let c = -7 - a. What is the smallest common multiple of 20 and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, c: 2, d: 1}. What is prob of picking 1 d and 2 c?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -967*l + 453*l - 18200 = 786*l for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 5 + 0*q - 1\/2*q**2. Let u be r(-2). Solve 2*n - 4 = -u*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 4*n - 5*n)*(-4*n + 4*n + n**2) + 30*n**3 - 39*n**3 + 2 + 26*n**3 + 3*n**2 - 3*n.\nAnswer: 15*n**3 + 3*n**2 - 3*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 76596 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(sqrt(110)\/(sqrt(33)\/sqrt(3))))**2 + (1*-1*sqrt(190))\/sqrt(10).\nAnswer: -sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 110, 130, 168, 230?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43740 or 43731?\nAnswer: 43740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 7. Let h = -595 - -598. Suppose h*o + a*w = 62, 2*o - 4*w = -0*o + 78. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -197?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 42323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j - 4266. Let k(h) = h - 2133. Let l(n) = -5*k(n) + 3*y(n). Let f be l(0). Is (-6)\/(-21) + f\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 0. Let q be t*(-1)\/1*-8. Suppose -q*r + 2086 = -r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 3:03 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 75\/27 - 2\/(-9). Suppose 2*o + 2*n - 8 = 0, -2*o - n = -k*o + 2. Suppose -o*s + 4*c + 69 = 2*c, -5*s = 5*c - 115. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 151 + (135 - (71 + 89))\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 + 650 = 4*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 56217335, 112434664, 168651993, 224869322?\n\"Answer: 56217329*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 2*o**2 - 6*o - 5. What is the smallest common multiple of n(-3) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39366709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 358898*a**4*z + 3*a**3*z**3 - 620*a**2*z**3 + a**2*z**2 + 10561*z**3 wrt a.\nAnswer: 8613552*a*z + 18*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3000 * 3\nAnswer: -9000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100925560, -201851119, -302776678, -403702237, -504627796?\nAnswer: -605553355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*((-702)\/(-52))\/(-20 - -17).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 731177.\nAnswer: 19, 29, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22620690 + 68254.\nAnswer: -22552436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/6 + -47*(-21)\/2961. Let d(r) = 5*r**2 - 3*r + 9. Determine d(a).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - w + 1. Let o(y) = 4*y**3 + 4*y - 3. Calculate -6*o(s) - 21*v(s).\nAnswer: -3*s**3 - 3*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.8 - -1.7. Suppose 4 = -p - 3. Let r = -1\/1482 + 2969\/7410. Sort q, p, r.\nAnswer: p, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 7*p. Let n(v) = -v**2. Calculate n(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -80 - ((3 - -2) + (-16 + 0 - -11) - -2)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 47\/1705479?\nAnswer: 47\/1705479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104 - 98. Suppose 40 = x*d + 4*d. What is the least common multiple of 134 and d?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/561224 and -191\/328316040.\nAnswer: 328316040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (1 - 8 - -4)) + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from errbehrbrtrrhir. What is prob of sequence tb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 115*o + 27*o**2 - 45*o**2 + 19*o**2 + (0*o - 2*o + 0*o)*(5 - 2*o - 5).\nAnswer: 5*o**2 + 115*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14 + -1 + 3)*28\/(-12). What is the third smallest value in p, 0.2, -5, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - k + 9 = p, 3*p + 3 = 3*k. Suppose -4*o + p = -4. Suppose 25 + 1 = o*b. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 27*x = -30*x - 42, -14 = 5*c + x for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.75 + 1.75. Which is the third smallest value? (a) u (b) 4\/3 (c) 3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -353.1, 9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -26*m**2 + 32*m + 16. Let k(q) = 55*q**2 - 64*q - 32. Let o(r) = 2*k(r) + 5*y(r). What is s in o(s) = 0?\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -77 + 153. What is t rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (-36)\/4 + -2. Let c be (2 - 15\/9)*(-3)\/y. What is the second biggest value in 0.4, c, -10?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1715) - 1*(sqrt(1715) + 2*sqrt(1715))))\/(sqrt(120)\/((sqrt(60)*-2)\/sqrt(10))).\nAnswer: -28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 3\/20*i**5 - 1\/12*i**4 + 1\/6*i**3 + 0*i + 0 - 6*i**2. Let u be (-1)\/(-4) - (-12)\/16. Determine q(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + 2*v - v)*(-1277 - 9008 - 6525)*(-3*v**3 + 4*v**3 - 3*v**3) to the form t*v**4 + i*v + y + j*v**3 + w*v**2 and give t.\nAnswer: -67240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -26. Suppose -28 = -2*q - 5*t + 4*t, 5*t = p. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/16764 and 55\/564.\nAnswer: 787908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112828.\nAnswer: 2, 67, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(176) - (sqrt(11) + 1)*-2)**2.\nAnswer: 48*sqrt(11) + 412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 503293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - 96663078*a - 2335937662108521.\nAnswer: -(a + 48331539)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*(w**(-2\/3)\/w)\/w))**42*w**(-3\/2)\/(w\/w**(-1\/3)) assuming w is positive.\nAnswer: w**(655\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/33010 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 13*c**2\/2 + 1. Let n be q(-1). Let w be 14\/(-91) + (-2)\/n. Solve w = 2*m - 0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -115.92 - -133.9. Round j to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -17. Let q = 16 - u. Suppose -158 = -q*p + 10. Does 21 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-50) - 175\/2250 - 394\/(-9). Let o(r) = -154*r**3 - r**2 - r. Let x be o(-1). What is the greatest common divisor of z and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m + 390. Let h be f(65). Let n(p) = -p + 5. Let a(g) = 1. Let v(x) = 4*a(x) - n(x). Let s be v(-3). Put h, s, -2 in decreasing order.\nAnswer: h, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4632*26\nAnswer: 120432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.03637928*-5.\nAnswer: 5.1818964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (13 + -28)) + 10\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -231 (b) 3 (c) -10078\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2127 or 2116?\nAnswer: 2127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -868 - -864. Let d(w) = 4*w - 13. What is d(n)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2844215 to the power of 1\/2, to the nearest integer?\nAnswer: 1686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -22 (b) -4 (c) 31 (d) -3\/7 (e) -11\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + (sqrt(156) - 4*sqrt(156)*2) + sqrt(156) - sqrt(156))\/(sqrt(1452) + sqrt(1452)*-5) + -1 + 3)**2.\nAnswer: 6*sqrt(13)\/11 + 2053\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/(27\/6 - 3). Let k be 16\/6*(-81)\/s. Let d be ((-14)\/42)\/((-2)\/k). Sort -5, -1, d.\nAnswer: -5, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 173632*b**3*l**3 - 4140*b**3 + 62*b**2*l**3 + 5*b*l**3 - 361*b*l**2 - b*l wrt l?\nAnswer: 1041792*b**3 + 372*b**2 + 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14860802 and 3894?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 428169 < 428159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 678055.6 millilitres?\nAnswer: 678.0556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -2*k**5\/15 - 2*k**3\/3 + 11*k**2. Differentiate x(f) wrt f.\nAnswer: -16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 7. Suppose -2*t + 3*h = 5*h - 10, -5*t - p = -4*h. Let z(v) = -177*v - 1768. Let d be z(-10). Solve 3*x = u + 10, t*x - 7*u - 24 = -d*u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -508 + 971. Let o = c - -48. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from {w: 1, c: 1, k: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4262\/13 + -328. Let n = -0.029 - -16.029. Let r = 20 - n. What is the second smallest value in -0.03, a, r, 5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5568 < -5459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4 = 2. Suppose 3*t - p = 1. Solve t = -4*k - 19 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6984 - -0.45?\nAnswer: 6984.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*r + 96 = 49*r - 24*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 4)*(4 + q**2 - 4) + (6 - 72 + 4)*(-q - 5*q - q)*(2*q + 4*q - 4*q) to the form u*q + s*q**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 266 + 474. Which is smaller: i or 741?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1271907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555609 is divided by 92599?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 858475954 to the nearest integer?\nAnswer: 29300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 45*s + 512. Give m(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -0.02347.\nAnswer: -0.009388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*s - 24 = 0, d = 5*s + 4 + 20. Which is the smallest value? (a) d (b) 0.05 (c) -53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - h**2 - 1)*(0 - 1 + 3) + 0*h**2 + 3*h**2 - 4*h**2 + (-3*h + 2*h - 6*h)*(0*h + 4*h - h).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (12856\/(-25)*(-1005)\/(-134))\/(2\/(-5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11996092 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m + 8. Let g be b(7). Suppose 5*t = 8*t - g. Suppose -t*n - 5*u + 185 = 0, -5*n + u + 169 = -2*u. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3079 - 336*y + 676*y - 493*y**2 - 342*y wrt y.\nAnswer: -986*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*q**5 - 40*q**4 + 127*q**3\/2 + 161*q**2\/2 - 63*q\/2 - 81\/2 = 0. Calculate q.\nAnswer: -9\/8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - 0 - (38 - (40 - 7)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-9)*1)\/((-51814)\/299781).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 12*y**2 + 15*y - 22. Let d be i(13). Suppose -62 - 22 = -d*p. Calculate the highest common divisor of 6 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/310 and -19\/36208.\nAnswer: 181040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*3\/(-42) - (561\/34 - 17).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 12:02 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*q - 64525 = 0, y - 12898 = -q + 3*q. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(637)*-2 - sqrt(637))**2.\nAnswer: 28665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j - 5*j - 3*j**3 + (0*j + 0*j - j)*(226*j + 204*j - 657*j - 348*j**2 + 227*j) to d*j**3 + v + k*j + f*j**2 and give d.\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 1. Let c be d(3). Let v be (2 - -2)\/c + 4. Factor -8*g**4 - v*g**4 - 3*g**2 + 2*g + 3*g**4 - 12*g**3.\nAnswer: -g*(g + 1)**2*(7*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2072084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 2\/7, -62191, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -296 - -99. Let d = -195 - b. Factor -2\/13*u**d + 0 + 4\/13*u.\nAnswer: -2*u*(u - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 5, 9, 2 in descending order.\nAnswer: 9, 5, 2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14262330 (base 7) in base 16?\nAnswer: -147e25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -1, -5\/119, 0.03?\nAnswer: -5\/119","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -19) + -20 + 15 + (-2 - 63)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -534 in -7\/5, -2\/11, 4?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -15*y**2 + y + 469. Give l(-9).\nAnswer: -755","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -793\nAnswer: -3965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01 from -1372.2336.\nAnswer: -1372.2236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, 16, -38, -4, 2 in descending order.\nAnswer: 16, 7, 2, -4, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 - 42b?\nAnswer: -417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 + -4)\/((-2)\/(-4)). Let n = 6 + s. Let c(b) = 2*b - 7. Calculate the remainder when n is divided by c(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5541 = 4*i - 3393, 17864 = -2*k + 4*i. Round k to the nearest 100.\nAnswer: -8900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 79714 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/22 and 67\/1080.\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 5 + 21. Suppose -s*n = -3*t + 543, t + t = 2*n + 362. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 893\/9 + -4741\/45. What is the common denominator of 37 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 15432024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-3 + 4 + -5 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtmtjtvtvtjt. What is prob of picking 3 j?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -11. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 716, 717, 718, 719, 720?\nAnswer: 721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 81170 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1520*s - 10. Let u(y) = 2273*y + 16. Let a(h) = 8*c(h) + 5*u(h). Let q(l) = -l**2. Calculate q(a(b)).\nAnswer: -632025*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 2657723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -2*f + 6. Suppose -5*a = -3*k - f, 2*a + 12 = -4*k + 34. Solve s = -k*s - 25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**5 + 5*r**4\/2 - 5*r**2 - 5*r + 33. Factor d(g).\nAnswer: 5*(g - 1)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (6 + -3)) + 11?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -106722 divided by -693?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -70, -29, 26, 101, 202?\n\"Answer: m**3 + m**2 + 31*m - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1124899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -n + 2*n - 6, 4*n = 5*n. Solve -b + l - 4 = 0, -x*l + 5*l = -5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3\/5 - 9636*k**2\/5 + 646744*k\/5 - 706800 = 0. What is k?\nAnswer: 6, 62, 4750","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9 + 7 - 13 - 4*p + 5*p. Let j be o(7). What is the highest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.4, 4, -13, -1\/10 in descending order.\nAnswer: 4, -1\/10, -0.4, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3043?\nAnswer: 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -28727, -57234, -85739, -114242, -142743, -171242?\n\"Answer: n**2 - 28510*n - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/72718 and -101\/23278.\nAnswer: 8217134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -189, -1403, -4643, -10923, -21257, -36659?\n\"Answer: -169*q**3 + q**2 - 34*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 34 = -10. What is the tens digit of (-930)\/s - 1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qc when two letters picked without replacement from {q: 1, c: 3, k: 2, y: 2, t: 3, b: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2101011 (base 3) in base 13?\nAnswer: -a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 3*s + 15. Suppose 2*q - 35 = -s*q. Suppose 28 = 2*w + 2*d, -q*w - 5*d = -3*w - 60. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88 divided by 2399\nAnswer: 88\/2399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4632 = w + 28132. Round w to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5015 is divided by 428.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (4 - 8) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b**4 - 3191*b**3*y - 26*b*y + 222*b - 3*y - 2 wrt b?\nAnswer: -48*b**2 - 19146*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/10*(-221 + 226)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 92*w - 1 = 9 - 13, w + 4 = 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 4, 10.\nAnswer: -5, -4, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1259853 and 719916.\nAnswer: 5039412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1337 and 9101?\nAnswer: 10438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - 0\/(16\/(-4)). Let p = 6 - 5. Let v = 1 - -2. Sort v, i, p.\nAnswer: p, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(405)*4 + (1 + sqrt(405))*-3 + (sqrt(405) - (sqrt(405) + 0)) + -1 + -4 + -4)**2.\nAnswer: -216*sqrt(5) + 549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1533 + -1070. Suppose -6*h + u = -275. What is the remainder when h is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 3*q - 31 = 0, a + q = -15 + 22 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.107 - 53.893. Let m = 56.9 + h. Let s = m - 2.89997. Round s to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*b**2 + 5*b**2 - 2*b**2)*(22*b + 25*b - 44*b + 6) to c*b + s*b**3 + k + r*b**2 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 12:28 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 58*y**2 + 14*y - 32. Give z(2).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 4 = 4*b, -3*r - 9304*b = -9306*b - 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(2 - 3)*-7. Let b = 3 + f. What is the smallest common multiple of b and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0 + 15. Suppose -4*w = 3*g - 12, -g = j*w - 16 + 1. Suppose 0*d - d + 13 = g. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3*30\/27*783\/145 and 190.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 2*n - 2, 0*o + 30 = 5*o - 3*n. Suppose -o*c = -5 - 1. Solve 15 + 2 = -s - 4*b, c*s - b = 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(28*4)*((-3080)\/80)\/11.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3*c**2 - 137707*c + 137707*c + 0.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 75*k**2 - 41*k**2 + 159*k - 32*k**2 - 159*k. Let t(b) = 256*b - 3. Determine t(j(z)).\nAnswer: 512*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6086*b - 1649305. What is f(271)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-8)*352\/3. Let a = o + -1889\/30. Calculate the common denominator of a and 7\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165 + w**2 - 80*w**2 - 166.\nAnswer: -79*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -6. Solve p = -2*b + 7 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -89*z**3 + 1936 + 31*z**3 + 60*z**2 + 29*z**3 + 31*z**3 + 594*z = 0.\nAnswer: -11, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 290029 and 64861.3228?\nAnswer: 225167.6772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 63*b + 271. Let y be w(4). Solve 9*i**y - 3\/2*i**2 - 15\/2*i + 0 = 0.\nAnswer: -5\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -164, -485, -942, -1505, -2144, -2829, -3530?\n\"Answer: 5*d**3 - 98*d**2 - 62*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142009764 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -11\/52, -3, 1\/4 in descending order.\nAnswer: 1\/4, 0.1, -11\/52, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 8:19 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4)*(91\/35 + -3). Which is the third smallest value? (a) i (b) 1\/2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 3\/3) + 100. Let b = -14 + i. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/18)\/v*v**0*v**(-2\/13)*v\/(v\/(v\/v**(2\/23)))*v*v assuming v is positive.\nAnswer: v**(9169\/5382)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 146 - 1.3. Round a to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 2:32 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*x - 22, -4*x + x - 2*s = -13. Let p(m) be the first derivative of 2*m - 1 + 1\/3*m**x + 0*m**2. Determine p(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3 + 9 = 0. Let t be ((-5)\/((-30)\/b))\/(2\/(-6)). Suppose -6*p + 5*p = t*p. Solve p = -4*q - 12, -4*q + 19 = 5*r - 7*q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 5*b - 5. Calculate q(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 5. Let u be c(10). Let q(s) = -2*s + 10*s + 9*s - 32 - u*s. What is the tens digit of q(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37608 divided by 4.\nAnswer: -9402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-693)\/495 + (-7)\/(-5). Let n = -3 - -6. Put -5\/7, n, g in decreasing order.\nAnswer: n, g, -5\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and (-6)\/9*-2*57.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 5 - 2*k**3 + k**4)*(-4*k + 39*k - 80*k)*(-6 + 4 + 3).\nAnswer: -45*k**5 + 90*k**4 + 45*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130 and 325?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 97*f**2 - 3*f + 3. Determine s(1).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w**4 - 83311*w**3 + 2*w**2 + 8805*w - 29?\nAnswer: -12*w**2 - 499866*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 4*p - 16, -3 = 4*p - 4*m + 1. Suppose -4*x + 7786 = 3*z, z - p*z + 4*x = -5184. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1104343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-r + 4*r - 2*r)*(0*r - 6*r + 4*r) - 2*r + 2*r + r**2 + 1 - 1 - 2*r**2)*((-4 + 3 + 2)*(-4*r - 3*r + 3*r) + 30*r - 9*r + 4*r).\nAnswer: -63*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -275?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*l + 230*l = -95*l + 2616 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -7. Suppose -t*o + 24 = -30. Suppose 0 = -v + 3*a + 171, -2*a - 5391 + 5871 = 3*v. Calculate the highest common factor of o and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7815 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*j - 5*j. Suppose -3*q + 102 = -3*p, 4*q - p - 178 = -q. Let o be 8\/q*(j + -1). What is the nearest to -0.1 in 3, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(180)\/sqrt(4) + sqrt(4500) + -3)*3*-4)**2.\nAnswer: -23328*sqrt(5) + 526176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -0.4, 2\/5, 1.57, -285?\nAnswer: 1.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3 - 19 = -4*o, 4*o = 16. Suppose -3*z = -0*z + 6, -3*c + 2*z + 1126 = f. Let u = 538 - c. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-10)*4*13. Let i = 28 + r. Find the first derivative of -2 + 8*q + i + 17 wrt q.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**4 - m - 1. Let b(i) = -3*i**4 - 4*i**3 - 6*i**2 + 3*i + 3. Let h(n) = b(n) - 5*r(n). Solve h(p) = 0 for p.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -17*w - 12. Let v be o(-5). Let l = -76 + v. Let s(k) = -k. Let x(p) = p. What is l*x(i) - s(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 9*h + 48000. Round h to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/43754 and 101\/14.\nAnswer: 306278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 31874 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 304 by 76.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 37010.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1014223 is divided by 4325?\nAnswer: 2173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + a**3 + 2*a)*(-2 - 2 + 2)*(-3*a**2 + 8*a**2 + 5*a**2).\nAnswer: -20*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m**2. Let x(d) = -623*d**2. Determine i(x(f)).\nAnswer: -1552516*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6673541 is divided by 824?\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 1:37 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010101011000110111001 (base 2) to base 7.\nAnswer: 32532314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 + 91*o - 10. Let v(h) = h**2 + 90*h - 7. Calculate -3*g(z) + 4*v(z).\nAnswer: -2*z**2 + 87*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 661 - 353. What are the prime factors of m?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 + 9*u + 58 + 2*u - 4*u + 5*u - 15*u.\nAnswer: -3*u + 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2170065?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14906 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + -3. Let g = 0.0528 + 0.3472. Suppose -5*f = 2*c - 1 - 7, c = -4*f + 7. What is the closest to z in c, g, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 1. Let y(g) = 5*g + 20. Let i(v) = -y(v) + 20*z(v). Let t be i(-1). Let x be (22\/(-55))\/((-4)\/60). Solve -t*m + x = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + (-8399)\/2812)\/((-15)\/1200*-5).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r - 10*r**3 - 6*r + 2*r + 2*r to the form s*r**3 + z + o*r + d*r**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 - 25*j**2 + 17*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 93406 to the power of 1\/2, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -115939, -115935, -115945, -115975, -116031?\n\"Answer: -y**3 - y**2 + 14*y - 115951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6221711 is divided by 264.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39886097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 7*v = -9*v + 11, 5*p - 3*v = 21. Suppose -48 = p*y - 4*y. What is the highest common factor of 84 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19539 and 0.5.\nAnswer: -19538.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.0559 times -2.131\nAnswer: 0.1191229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580719691.\nAnswer: 580719691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.067 - 0.0179. Round t to 3 dps.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 1 - 20)*(-3*u**2 - u**2 + u**2) + (1 - 3*u - 1 + 2 - 2 - u + (5*u - 2*u - 5*u)*(-1 - 2 + 4) - 2*u + u - u - 3*u - u + 2*u)*(-u + 4*u - u).\nAnswer: 148*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.99 * 0.4.\nAnswer: -0.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*o**2 - 36289*o - 2 + 2 - 36313*o + 72602*o.\nAnswer: 66*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 15*j**2 - 212*j + 3180. What is h(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.03557872 to 3 dps.\nAnswer: -5.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50392, -100995, -151598, -202201?\nAnswer: -252804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Divide 1321 by -5.\nAnswer: -1321\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 27*r + 1. Let a(c) be the second derivative of -13*c**3\/3 - c**2\/2 - c + 644. What is 5*a(l) + 4*u(l)?\nAnswer: -22*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 4*w + 1018, 4*a + 2*w = 8*a - 4000. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 - -63?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l + 7*l - 14. Is -5 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -0.2, -1\/7, 3, 276 in ascending order.\nAnswer: -0.2, -1\/7, 3\/4, 3, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*y - 7*j + 3*j, 4*j = -4*y + 28 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46670898 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 26*i + 122. Let k be t(18). Calculate the highest common factor of k and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 118?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 7*u**3 + 92*u**2 + 12*u - 60. What is v(-13)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18106, 18214, 18394, 18646, 18970?\nAnswer: 19366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (146 + 81 - 33)*(-4*d**4 - 2 + 2) as q*d**4 + p*d + s*d**2 + j + x*d**3 and give q.\nAnswer: -776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/7 and -5\/392.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*q + 1 + 2, 4*k = -3*q + 21. Suppose 8*p - 5 = k*p. Suppose 4*a + p = 2*y - 35, -47 = -4*y + 3*a. What is the highest common factor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2971? (a) 194 (b) -2 (c) -5 (d) 5 (e) 0.4 (f) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 0 + 3*o**2 - o**3 - 1)*(48 + 63 - 129)*(0*o - 4*o + 2*o)*(0 + 1 - 6).\nAnswer: 180*o**4 - 360*o**3 + 180*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12014 and 4?\nAnswer: 24028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (13\/78)\/(4\/6). Factor -1\/4*g + u*g**3 - 1\/4*g**4 + 3\/4*g**2 - 1\/2.\nAnswer: -(g - 2)*(g - 1)*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2012011 - -1200121?\nAnswer: -111120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (11 + -6)*(-58)\/(-10). Let h = 24 - v. Sort 2, 4, h, 1.\nAnswer: h, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9858, -78674, -265446, -629148, -1228754, -2123238, -3371574?\nAnswer: -5032736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 71810 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (4 - 0) + (-1 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 82, 116, 146?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k\/(k**(-4\/3)\/k)*k*k*k\/((k\/(k**(-4\/19)*k))\/k)*k*k)\/(k**(7\/4)\/k*k*k*k**21) assuming k is positive.\nAnswer: k**(-2651\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 140499 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -0*n + 2*n - 30, -2*n + 2*t = 0. What is the second derivative of -20*c - 2*c**n - 5*c**5 + 9*c wrt c?\nAnswer: -140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5206, 10426, 15652, 20884, 26122, 31366?\nAnswer: 36616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 18. Let p be (-1 + 2)*(t - 0). Solve 0 = -3*i - 2*z - z - 6, 0 = i - p*z + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1304 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84\/551 + -265330\/1653. Let l = m + 162. What is the nearest to -1 in l, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -606 - 232?\nAnswer: -838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 213*m - 163*m - 8*m**2 - 50*m. Let n(j) = 77*j. What is n(k(x))?\nAnswer: -616*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.4 and -7575?\nAnswer: 63630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1773042.73 rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnngngggggnggggg. Give prob of picking 4 g.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1102424*y**2 - 1914527*y wrt y?\nAnswer: -2204848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 r when three letters picked without replacement from iirqiqqiiqq?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/((-14)\/(-168)). Let a(d) = 2*d**2 + 7*d. Let r be a(c). Let u = r - -6. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 371984809 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + -22?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-6)*(-6)\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 59 = 9*b. What is the units digit of ((-108)\/45)\/(b\/(-285))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**8\/392 + 3*m**7\/245 - m**6\/35 - m**2 - 411. Suppose p(b) = 0. Calculate b.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9401 and 88587.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0. Let y = 14 + -9. What is the nearest to s in -0.02, y, 0.5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*q + 4. Suppose -7*v = -q*v - 25. Suppose i + v = 0, -4*z = -9*z - 2*i + 10. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 5*s + 5. Let g be d(4). Suppose v + g - 2 = 0. Solve -q + 2 = v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 184910 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 2*w = -1, 20 = 455*r - 447*r + 2*w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -122? (a) -1 (b) 17 (c) 3 (d) 0.1133\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(((i*i**(-6)\/i)\/i)\/i)*i\/(i\/i**(3\/5)))**(8\/3)\/((i*i**4\/i*i)\/i*i**(-2\/9))**0 assuming i is positive.\nAnswer: i**(424\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 519 + -518.9. Which is greater: 2.76 or l?\nAnswer: 2.76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-4)*-2 + -29 + 30. Suppose -42*h + 51*h = f. Sort -1, -11, h, 2 in descending order.\nAnswer: 2, h, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 118, 232, 346, 460, 574, 688?\n\"Answer: 114*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -16. Let o be 3\/x + (-156)\/(-10). Suppose -w = 4*w - o. Solve w*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 3317 - 3275 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3*g + 7, -3*g - 3 = -5*m - 5. Calculate the lowest common multiple of 11 and 24\/((-15)\/(-5)) - g.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*d - r, -3*r + 4 = -4*d + 14. Let v = 9 + 14. What is the remainder when (3\/(-2))\/(d*(-6)\/444) is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -1 - 6*d - 4*d + 13*d. Determine v(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 11. Let u(k) = 4*k + 9. Let o(a) = -a - 2. Let i(m) = h*o(m) + 2*u(m). Let d(s) = -18*s**2 - 8*s**2 + 31*s**2. Calculate d(i(x)).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -5. Let d be -2 + 1 + t + 3. Solve 2*j - 10 = 0, -d*a = -6*a + 2*j - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 21524374, 86097482, 193719328, 344389912?\n\"Answer: 21524369*y**2 + y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 287\/164*60\/(-27)*4\/(-14)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 2. Let l(a) = 2*a - 2*a - a + d. What is l(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634195135.\nAnswer: 5, 7, 1801, 10061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - -1)*(-2 - -3). Let d be (3 - (-12)\/(-5))\/(-1). Is x >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llursky. Give prob of picking 1 s, 1 y, and 1 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1148?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.007 and -15?\nAnswer: -0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135\/22 + 15\/2. What is the common denominator of h and 43\/15?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 79, -0.4 in decreasing order.\nAnswer: 79, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 0*d + 11 - 4*d + 5*d + 14. Is g(-14) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3*5\/(-30))\/((-1)\/10). Suppose -4*c + 8 = 0, 4*c + 440 = -u*k - c. Let h = -90 - k. Solve -m - m = h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 322, 665, 1134, 1723, 2426, 3237, 4150?\nAnswer: 5159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**4\/d)\/d)\/((d\/(d*d**(-4\/3)))\/d)*(d**(-2\/13)*d*d)\/(d*d**(-1)*d) assuming d is positive.\nAnswer: d**(98\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q + 1. Let m(r) = 2*r + 1. Let v(d) = -d**2 + 8*d - 6. Let t be v(6). Give t*y(k) - 10*m(k).\nAnswer: -2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 166 + -166. Suppose 10*w - 54 - 16 = i. Is w at most as big as 44\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 1, 4, -1, -4 in ascending order.\nAnswer: -4, -1, 1, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115911, 116193, 116485, 116793, 117123, 117481?\nAnswer: 117873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2107 divided by 49.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9153 + 36719?\nAnswer: 45872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 1 - (-996 + 1003).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 39\/4 - 15\/20. Suppose -10*f = 278 + 562. What are the prime factors of f\/(-378) - -1*511\/j?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 2*z - 5. Let c be (1\/(-6))\/(2\/(-12)). Let l(s) = 1. Let i(j) = c*w(j) + 4*l(j). Give i(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 299 + -48. Suppose -3*c + i + 217 = 0. Suppose r = -2*u + c, -357 = -2*r - 2*u + 7*u. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(1 - (-44)\/(-43)). Let l = z + 175. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133 < 1133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 = -13*t - 46. Let g be (-860)\/t - (-80)\/360. Calculate the highest common divisor of g and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 12 - 18)*(13*g - 10*g + 20*g)*(-5 - 7 + 14) to the form j + r*g and give r.\nAnswer: -1242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 8381.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 15*w + 20. Let y(u) be the first derivative of -u**4\/4 - 7*u**3\/3 + 4*u + 1. What is the smallest common multiple of i(15) and y(-7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.924 - 0.076. Which is the closest to -2? (a) 0 (b) o (c) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -19*k - 134. Let d be u(-10). Suppose -6*s + d = 5*j - 4*s, -3*j - s + 33 = 0. Solve 3*p + j = 4*r, -p = r - 4 + 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 + 1 - (709 + -661).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**4 - 151*c**3 + 423*c**2 - 4*c wrt c?\nAnswer: 48*c - 906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 0*m**3 + 9\/5*m**5 + 0*m**4 + 36 - 9\/2*m**2 + 0*m. Find the second derivative of l(r) wrt r.\nAnswer: 108*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.94 - -3. Let i = -0.24 - k. Let w = -401.3 + 401.1. Do w and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 450339 and 346154?\nAnswer: 104185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 6:51 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -20 (b) -0.2 (c) 2\/9 (d) 25\/3 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/2*(-49)\/(-49))\/((-18)\/24).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -98604 + 0.080117?\nAnswer: -98603.919883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -15.76333 and 0.01.\nAnswer: -15.75333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1021296782853 + -1021298644870.999853. Let a = -1862021 - f. Let l = a + 3. What is l rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 15*p - 90. Give v(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 129950?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48432 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -109. Let j = 68.31 - u. Let c = 0.39 + j. What is the biggest value in -1\/10, c, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 0*b**3 - 27\/56*b**8 - 21*b + 0*b**2 + 0*b**5 + 0*b**7 + 0*b**6 - 8\/3*b**4 + 0. Find the third derivative of c(a) wrt a.\nAnswer: -3240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**5\/60 + 7*k**4\/24 + 637*k**2 + 5. Let z = 8 - 16. Calculate d(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3 = 3*p. Let c(z) = -1 + 0*z + z + 0*z**3 - z**2 + 3*z**3. Is c(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14288 (base 11) to base 8.\nAnswer: -47517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4.283651 milliseconds?\nAnswer: 0.004283651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*z**3 - 8*z**3 + 10*z**3.\nAnswer: 98*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 141*j - 83*j - 1102 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(637) - sqrt(637) - (sqrt(39)\/sqrt(3))**2*-2) + -1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4\/9 - 189494*b**3\/9 - 17777092*b**2\/3 - 5009817608*b\/9 - 156922235120\/9 = 0 for b.\nAnswer: -94465, -94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27659409*m**2 + 3773*m**3 - 27659409*m**2 - 2*m + 2*m.\nAnswer: 3773*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*l + 18 - 3, 5*l = 2*u + 9. Solve -2 + 20*r**u - 26*r + 9*r + 11*r + 12*r**2 + 18*r**5 - 42*r**4 = 0 for r.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -2*l - 9 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Suppose k*s - s + 4 = 0. Solve 5 = -s*j + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/(-2)*(241 + -3). Let i = d + 9187\/7. Calculate the common denominator of i and -73\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7110266 or 7110261?\nAnswer: 7110261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 10. Let h be s(-6). Suppose v = -h*v + 110. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 14. Suppose 2*x = 2*o - 4, -3*o + x + 3*x + d = 0. Solve 12 = o*k - 7*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1960)\/1372 + ((-2080716)\/(-21))\/4.\nAnswer: 17, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5 + 191*n**5 - 19*n**2 + 1 + 6 + 78*n**2 - 4 wrt n?\nAnswer: 11460*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 190*x - 180. Let j be 7\/(-20) + 4\/(-16). Which is the nearest to x? (a) j (b) 0.2 (c) 0.1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 12, e: 6}. What is prob of sequence kk?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7530\/4 - 29\/58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.65 - 0.27. Let r = k - -8.82. Let x = -12.6 + r. What is x rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259765?\nAnswer: 5, 11, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.47 + -0.03. Let w = -1.21 + -3.89. Let m = a + w. What is m rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**3 + i**2 + i. What is q(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**0)\/u**4)**14*((u**1)**(1\/4))**(1\/26) assuming u is positive.\nAnswer: u**(-4367\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*a - 2064 = -57*a - 414. Calculate the remainder when (-1794)\/(-10) + (-4)\/10 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.355093 take away -0.1?\nAnswer: -25.255093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1820 + 2390. Calculate the least common multiple of 760 and d.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -100.5 - -103.5. Is 18 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 2*f - 6. Let m(v) = -2 - 1 + 2. Suppose -r - 3 = -8. What is r*m(n) - t(n)?\nAnswer: -n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2383008925 and 1361?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24906*m + 929 = -24934*m - 191 for m.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 11093520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/2))**(-7\/8)*(k**(-2\/3))**(-7\/4))\/((k**(-1))**47\/((k**(-1\/3)\/k)\/k*k**(-1\/3))) assuming k is positive.\nAnswer: k**(721\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 346 (base 14) in base 9?\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 1)\/(0 - -2). Suppose -2*p = 5*k + 27, 4*k = 2*p - p - 19. Let q be (v - p\/(-1))\/1. Let i(u) = -7*u. Determine i(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 135.504763 + 0.051237. Let p = 172 - 307. Let f = p + c. What is f rounded to two decimal places?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 0*j + 0*j**4 - 1\/5*j**5 - 2*j**2 + 3 + 0*j**3. Find the second derivative of r(v) wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -657*r - 15764. Let j be m(-24). Solve -208\/3*s + 386\/9*s**2 + 32 + 2\/9*s**j - 52\/9*s**3 = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (42\/(-4))\/((-2)\/4). Let b = -17 + o. What is the third derivative of b*g**2 + 12*g**4 - g**2 - 6*g**4 wrt g?\nAnswer: 144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - j - 21. Determine q(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 16806531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 12:12 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -591*i + 212 + 331 = -639. Suppose 0 + 1\/2*q**3 - i*q - 2*q**2 + 1\/2*q**4 = 0. Calculate q.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - 192\/(-56)*28\/(-8). Let c(i) = 2*i. Let q be -6 - (7\/(-3) - 7\/(-21)). Let r(j) = -4*j - 1. Determine g*c(u) + q*r(u).\nAnswer: -2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -773888*r - 9. Let l be -2 + 14 + -1 + -3. Let q be o(l). Let i = q - -17991113. What is i rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000078286 rounded to 6 decimal places?\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1\/4, -36, 3.3.\nAnswer: -36, -0.5, 1\/4, 3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 48391400 to the power of 1\/2, to the nearest integer?\nAnswer: 6956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*d + 0*d = -25, 11 = -2*v + 5*d. Let y be 7\/2 + 6\/(-4). Solve 2*x = y*h - 14, v = 2*h - 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*o + w, -7*w = -18 - 3. Let f(a) be the third derivative of -13\/6*a**3 + 13\/24*a**4 + 0*a + 11*a**2 + o. Differentiate f(v) wrt v.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 440*m - 136822. Determine l(311).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q**2. Let t(v) be the third derivative of -3*v**5\/20 - 57*v**2. Determine t(l(y)).\nAnswer: -324*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1126 is divided by 77?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/3)\/(10345\/(-37242))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-960)\/108 + 9)\/((-1)\/2)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 69.89404ns?\nAnswer: 0.00000006989404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 26*q - 115. Give b(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6749.\nAnswer: 17, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 20 = 0, -5*p + 3 + 5 = -2*j. Calculate the remainder when 21 is divided by -1 + p - -7 - 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90705 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2155 = -573*r - 5354 - 2687 - 3556 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (0 - (3 - -2)). Solve -5*r = 25, -4*r + 0 = 5*b + t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 3:39 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1000 divided by 4\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*c = 390, 0 = 4*d + 82*c - 83*c + 505. Is -1610\/13 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -155685 - -155857. What is the remainder when y is divided by 23 + 1 + 0 + -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xpff when four letters picked without replacement from {p: 6, f: 4, x: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from usboubsubobusuobouu?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 1 = -3*c + 4, -9 = -4*c + p. Suppose -c*u = -6*u + 4. Let t = 35 - 35. Sort u, 5, t in descending order.\nAnswer: 5, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26436086*a**4 + a**3 + 10083045*a?\nAnswer: 317233032*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 10*i**2 - 2*i - 16. Let s be l(-10). Suppose s*g - 858 = -94. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -19) + 13 + 9.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 divided by -49?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2254475053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -94*y + 864. What is s(9)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 7*a**2 - 13*a - 10. Let j be q(-8). Let n = j + -141. Solve 5*f = 5*r - 25, 0*r + 3*r - n = 5*f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yynyyynnyny. Give prob of picking 4 y.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 26099250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 + 479 = -65*p - 127*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -661459152 + 1226*k + 661459152.\nAnswer: 1226*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(sqrt(7) + (1*sqrt(567) - sqrt(567) - sqrt(567))))**2*-2.\nAnswer: -7\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s*(s**(3\/8)\/s*s)\/s*s))\/s)\/s**(-7\/5))\/(s*s**(-4)*s*s**(-1\/33)*s) assuming s is positive.\nAnswer: s**(2713\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/(sqrt(9)*-2) - sqrt(56))\/((sqrt(96)\/sqrt(2))\/sqrt(6) + sqrt(8)) - ((sqrt(70)\/sqrt(5) - sqrt(14))\/sqrt(2)*-1 + 2).\nAnswer: -2 - 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 59.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 297 and 297.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2\/13, 5, 4, -0.277.\nAnswer: -0.277, 2\/13, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: cd (base 14) to base 12\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7797909 is divided by 33.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 12*o**2 + 30*o + 20. Let y be l(14). Let q = -34 + y. Suppose -20 = 5*d + 5*x, -2*x + q = -d - 5*x. Solve d + 3 = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s - 7. Let m = 89 + 139. Let a be (2\/(-11))\/1 - m\/(-44). Give d(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 252*q**2 - 9*q + 9. Let d(y) = 2*y**2 - y + 1. What is -9*d(g) + v(g)?\nAnswer: 234*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(9)*-2 - sqrt(9)) - (sqrt(4) + (sqrt(4) - (sqrt(4) + sqrt(4)*1*5 + sqrt(4)))))\/(sqrt(72)*1*-3 + sqrt(72))*-5 + -4 + -4.\nAnswer: -8 + 35*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 10*u. Let j(q) = 23*q**2 - 5*q + 10. Let s(d) = 117*d**2 - 24*d + 48. Let p(w) = 24*j(w) - 5*s(w). Determine m(p(r)).\nAnswer: -330*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4587 is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 7:01 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z**2 + z**3 + 2 - 4*z**2 - 3 - 4*z**2. Let f be q(2). Suppose -1 = 3*i - t, -f = t - 4. Sort 4, 2, i.\nAnswer: i, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -49 - -23 - (-4)\/(-1). Which is smaller: d or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101100000011010 (base 2) to base 16\nAnswer: 581a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/2617668 and -121\/71113314.\nAnswer: 426679884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1447\/2 + 723. Suppose -5*i + w - 21 = 6, 2*w = 2*i + 14. Put i, r, -0.1, 1\/4 in decreasing order.\nAnswer: 1\/4, -0.1, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 20 = 5*v, 976*v = 980*v + x - 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.051994l?\nAnswer: 1051.994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 22\/11133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6*-1*3. Suppose 270*i + 30 - 10 = 290*i. Solve -v*b + i = -9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 3*q = 2*x, -8 = -2*x + 2*q for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12491*w + 12491*w + 1 - 1 + 7*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1 = 5*w. Let b(p) = p**3 - 6*p**2 + 22. Suppose 0 = 6*t - 4*t + 2*x - 12, -3*t - 2*x = -17. Let f be b(t). Sort -4, w, f.\nAnswer: -4, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 64?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.018002 - -3708485\nAnswer: 3708485.018002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 + 2*d + 29564. Let t(o) = 51*o + 2. What is t(b(v))?\nAnswer: -102*v**2 + 102*v + 1507766","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 0, 5, -795, 1, -42 in descending order.\nAnswer: 5, 1, 0, -2, -3, -42, -795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) - (sqrt(112) - (4 + 0 + sqrt(112) + sqrt(112))) - sqrt(112))**2*6.\nAnswer: 192*sqrt(7) + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from auuuuuuuuuuuuuuuuu?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/2*26\/((-624)\/(-8))*(-3)\/(-6).\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((60\/75)\/((-12)\/3)*-3)\/(51\/(-30)).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196773142?\nAnswer: 2, 23, 59, 72503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**7\/630 - y**5\/120 + y**4\/12 - 4*y**2. Let c(h) be the second derivative of l(h). Differentiate c(w) wrt w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 23, 40, 73, 128?\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -45 - -542?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 950 less than or equal to 14249\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 8*x**2 - 6*x + 7. Let d be m(-6). Suppose 3 = 2*o - 5. Suppose q + o*q = -2*z + d, 0 = -z. Is 23 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 285 divided by 1\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 18411198 divided by 2\nAnswer: 9205599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(81)\/(sqrt(3)*-3))*5.\nAnswer: -10 - 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.076 (b) 0.19 (c) -8\/7 (d) -1.5 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 688, 22, 3, 2, -1.6, 0.5, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -247474, -247491, -247528, -247591, -247686, -247819?\nAnswer: -247996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -992 (c) -0.32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*f + 4*i - 36, 2*f + 2*i = 36. Suppose -8*p = -f*p + 20. Solve 0*g = p*g - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10855541 + 10?\nAnswer: -10855531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -18, 5, 28?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r + 0*r = 6*r. Suppose -3*z + 6*z - 21 = 4*l, r = 5*z + 5. Let t(f) = f + 14. Calculate t(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12072, 10974, 9876, 8778, 7680?\nAnswer: 6582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 6:34 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 9. Suppose -22 = a*v + n + 4*n, -1 = 4*v + n. Let p(d) = -d**3 - 7*d**2 + 7*d - 7. Let x be p(-8). Calculate the highest common factor of x and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 168 - 160. Let z be 3*(0 - 5\/(-3)). Solve 0 = z*h - 5*l - 15, -4*l + 4 = 2*h - m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4f (base 16) to base 11\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1481 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (128 + 1781 + 423)*(-3*q + 5*q - 3*q)*(2 - 3 + 0) to u + s*q and give s.\nAnswer: 2332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/15)\/((-48)\/(-18)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*y**3 + 22*y**3 + 19*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -32. Let t = 26.9989 - i. What is t rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -255 + 107. Calculate the highest common factor of 296 and g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 367675 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80398, -77910, -73764, -67960?\nAnswer: -60498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (12 - 7) + 1 - (-109638)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 2 + 3*w**2 + 8 + 9 - 26.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7845.79 nanograms to milligrams.\nAnswer: 0.00784579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356751427?\nAnswer: 53, 89, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 68 = -4*w. Let f be (-3)\/w + (-41)\/8. What is the nearest to -0.1 in 4, -6\/7, f?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/256*-44*-8 - -9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 50*y**2 - 3*y - 14. Let p(m) = 2*m**2 - m - 5. Let x(s) = n(s) - 3*p(s). Determine x(1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/115872 and -3\/2?\nAnswer: 115872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -715, 2 in ascending order.\nAnswer: -715, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 63*p**2 + 2*p - 9. Let f be j(-3). Suppose 5*x - f = 758. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 23*f**2 + 69*f - 133. What is x(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**3 - 2*i**3 + 0*i**3 + (-3*i**3 - i**3 + 2*i**3)*(-2 + 1 - 1) - 4*i**3 + 5*i**3 - 2*i**3)*(-i + 4*i - 5*i).\nAnswer: -10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2 + 7*c - 75. Determine a(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1276148\/(-216))\/(1\/3). Let h = a - -17717. Calculate the common denominator of h and 149\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 29*t**2 + 73*t + 26. Give o(-26).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 9:10 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.604 less than 648.92?\nAnswer: 646.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*k**4 - 5*k**4 + 28 - 30 wrt k?\nAnswer: -44*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4556123 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 80 = -3*v. Let p = v + 86. Let d(q) = 5*q**2 - 4*q - 5. Let u be d(-1). Solve 4*w = -5*n + 41, u*n = w + 2*n + p for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412567 = -9805*p + 381638 for p.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 2 - 1)*(-2 + 0 + 1) - 591 + 930 + 952)*(-10*w**2 + 10*w**2 + 4*w**3) to the form k + a*w + j*w**3 + x*w**2 and give j.\nAnswer: 5160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 3*r**2 + 4*r + 10. Let s be l(-3). Suppose 3*f - 107 - s = 0. What are the prime factors of f?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2304*w**5 + 2688*w**4 + 208*w**3 - 192*w**2 - 12*w + 4 = 0. What is w?\nAnswer: -1, -1\/4, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 113.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i - 44. Let m be b(7). Let z(h) be the third derivative of -h**3 + 0*h + 0 + 1\/60*h**m - 3*h**2 + 5\/24*h**4. Determine z(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-2\/5))\/(((g**1\/g)\/g*g)\/g*g))**48\/((g**(-3\/8)*(g\/g**(-1))\/g*g)\/((g\/g**(-1\/4))\/(g\/(g\/((g**(3\/2)\/g)\/g)*g)*g))) assuming g is positive.\nAnswer: g**(3077\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25681 + 25681 - 341*j to n + o*j and give o.\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 8, 2*m + f - 4 = -2*m. Sort m, -2, 1 in decreasing order.\nAnswer: 1, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3*i + 20, 5*i - 18 = -w + 10. Let k(m) = m**3 + 7*m**2 - 8*m - 22. What is k(w)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14995 and -42714.\nAnswer: 640496430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*a + 270183 = -1654*a - 2084*a + 42207 for a.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 28 = v, 5*j - 4*v - 28 = j. Let w = j + 10. Let x = w - -16. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-12)*-1*(-4)\/1\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 683 - -236. Suppose -q - 161 = -12*z. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 481 - -7512. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 11*h**7\/140 + 31*h**6\/80 - 3*h**5\/20 + 92*h**2 - 171*h. Let o(d) be the first derivative of c(d). Factor o(w).\nAnswer: 3*w**2*(w + 3)*(11*w - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0 (b) 1 (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a + 2*g = 26*a + 157, -63 = -2*a - g. Which is bigger: a or 24?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1635 and 305.\nAnswer: -1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5053*t. Let s(j) = j + 35. Determine s(g(d)).\nAnswer: -5053*d + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -84.4 - -83. Which is the closest to 0.1? (a) 2\/7 (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*g**3 - 3*g**3 - 11*g**3 + (93*g + 18*g**2 - 93*g)*(2*g - 2*g + g).\nAnswer: -10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l + 2. Let a(r) = -r. What is 3*a(y) - s(y)?\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 - 6*o**2 + 6*o**2 - 4*o**2 + 0*o**2 + 6*o**2 + (5*o - 3*o - o)*(2 - 2 - 3*o) + (-o - 3 + 3)*(-8 + 5*o + 8)*(-1 - 2 + 4))*(-3 - 2*o - 1 + 2).\nAnswer: 20*o**3 + 20*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23482*z - 5235*z - 12492*z - 1404*z to l + v*z and give v.\nAnswer: -42613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3373 - 2911.6. Let k = s + -571. Let h = 105 + k. What is h rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41833769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.4, -0.2065?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389206 = -32*h + 414242 + 767892. What are the prime factors of h?\nAnswer: 71, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 14*d**2. Let k(w) be the third derivative of -17*w**2 + 0*w + 0 + 0*w**4 + 0*w**3 - 1\/30*w**5. Give z(k(n)).\nAnswer: 56*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 637, 630, 629, 634, 645, 662, 685?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 g, and 1 u when three letters picked without replacement from dduuudvguvn.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 71, -3251 in ascending order.\nAnswer: -3251, -0.1, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -23, 7, 14 in ascending order.\nAnswer: -23, -9, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 3612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 489 and 250084217.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -143, -3, 1, 0?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 24*c + 60 = 0, 5*c = 3*u - 4*u + 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3b5c5a + -4?\nAnswer: -3b5c5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4 = 3*h. Let m(f) = f - 1. Let z(g) = -4*g + 2. Let i(o) = h*m(o) + z(o). Let l(w) = -58*w - 1. What is i(l(q))?\nAnswer: 116*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a - 12. Let w be k(0). Let d(n) = -13*n - 16. Let u(y) = -5*y - 6. Let i(q) = 3*d(q) - 8*u(q). Calculate i(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/18 and (-138)\/(-21672) + ((-7)\/14 - (-45)\/70).\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259463021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z = -18*z + 4. Suppose -347 + 407 = z*m. What is the remainder when 33 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 64, -31, -152, -299, -472, -671, -896?\n\"Answer: -13*n**2 - 56*n + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by 12\nAnswer: 23\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1303115 (base 7) to base 9\nAnswer: 277035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/3)\/((-175)\/1575). Solve 12*x = -24 + n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 4:26 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a week in hours?\nAnswer: 3108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 13*s. Let c(y) = -2*y**2. Give c(n(d)).\nAnswer: -338*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 205801192?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 67 = 2*g, 2*m - 5*g = -3*m + 55. Let s = m - 15. Round s to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21405 is divided by 1809.\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3903031 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 32 or 2573\/84?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 44*f**3 - 139956*f**2 + 114472*f + 25440 = 0.\nAnswer: -2\/11, 1, 3180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1106 by 7.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 519, -1, 125 in decreasing order.\nAnswer: 519, 125, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b - 103*b**3 + 2*b**2 - 107*b**3 + 322*b**3 - 2 - 108*b**3 in the form o*b**2 + q*b + d + y*b**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (230\/(-6))\/(2960\/(-222) - -15).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 608746215 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64995 is divided by 1756?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**2. Let i(w) be the second derivative of 0*w**3 + 3*w + 1\/24*w**4 + 0 + w**2. Let s(l) be the first derivative of i(l). Calculate o(s(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32470 = -4*p + 21*p. Is p a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1668696?\nAnswer: 2, 3, 23, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46214392, -92428788, -138643170, -184857532, -231071868, -277286172?\nAnswer: -323500438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -8*98\/56)\/((-13)\/(117\/135))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 2*y + 462 - 461, 6*p = y - 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 12. Let o = b + 11. Suppose r = o*r. Solve -5*a + 2*c - 8 = r, -2*a = -4*a + 2*c - 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 - 2*v - 10. Let r(h) = h**2 - h - 1. What is -2*b(n) + 2*r(n)?\nAnswer: -2*n**2 + 2*n + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 - 11201.53?\nAnswer: -11202.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32096361 to the power of 1\/2, to the nearest integer?\nAnswer: 5665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/390 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.007 and 29234.\nAnswer: 204.638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 140 - 139.6. Sort k, -1\/11, -6\/5 in ascending order.\nAnswer: -6\/5, -1\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*128\/(-6 + 2). Suppose 7*i = 11*i - m. Calculate the common denominator of ((-375)\/i)\/(-3) + -3 and -7\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**2\/2 + 4*z + 7\/2 = 0.\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*j**4 - 532*j**3 - 54008*j**2?\nAnswer: -600*j - 3192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.523 - 339.477. Let h = s - -344.27. Round h to 1 decimal place.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 7*z - 5. Let l be r(-6). Let t = l - 68. Suppose -t + 5 = -3*x. Solve 0 = -3*c + x, 3*w - 2*w = -3*c + 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175667 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 11:11 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 128*k**2 + 25*k + 2971. Determine z(-128).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 14. Which is the biggest value? (a) 0.3 (b) t (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -8*u + 5. Calculate g(-11).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -160398 divided by -11457?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - -1.1. Let s = 10 - -1. Let n = s - 15. Put -2\/11, n, f in descending order.\nAnswer: f, -2\/11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 318*g + 1639. Calculate u(5).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 4*s = 116, -z - 2*s - 9054 = -9016 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -182682218 divided by -82774\nAnswer: 2207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.4 (b) -4 (c) 3 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -986, -132 in decreasing order.\nAnswer: 4, -132, -986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 208*g + 3955. Let w be z(21). Solve -5*a + w = 2*u, 32 = 3*a + 23*u - 18*u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 5*k - 3. Let q be x(7). Suppose -s + q*s = 3210. Let f = s - 115. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 9*v + 44. Let i be c(-6). Let y(p) = -p**3 - 10*p**2 - p - 3. Give y(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15428, 30967, 46506, 62045?\nAnswer: 77584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1924, -1788, -1664, -1558, -1476, -1424, -1408?\nAnswer: -1434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -8, -0.5 in ascending order.\nAnswer: -8, -2, -1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-12) + 43\/3. Let t = 33 - u. Solve t = -3*n + 3*w, n + w = -n - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2818683379 to the nearest integer?\nAnswer: 53091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24623 - 13478. List the prime factors of o.\nAnswer: 3, 5, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7375287809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 81193759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1342, -1369, -1396, -1423, -1450?\nAnswer: -1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1787 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**4*b + 2*a**3*b**3 + 102*a**3*b**2 - 3*a**2*b**3 - 6*a**2*b - 2*a**2 wrt a.\nAnswer: 24*a*b + 12*b**3 + 612*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 1 + 2)*((3*w - 8*w - 6*w)*(-3*w**2 + 7*w**2 + 3*w**2) - 4*w**3 + 2*w**3 - 3*w**3).\nAnswer: 656*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/3 - 254*b**2 + 64516*b - 16387064\/3.\nAnswer: (b - 254)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 2:06 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 8:03 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -78425, -156859, -235295, -313733, -392173, -470615?\n\"Answer: -j**2 - 78431*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5609\/3505 - 1\/3505. Factor -48\/5*a + 22\/5*a**3 - 18\/5*a**2 - s.\nAnswer: 2*(a - 2)*(a + 1)*(11*a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 17 = -4*h, 6*h = 5*o + 3*h + 17 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + 4. Let u(p) = p**3 - 13*p**2 + 14*p + 4. What is the remainder when 81 is divided by u(h)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25686 divided by 8562.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -136482 (base 10) to base 13.\nAnswer: -4a178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1458*d**2 - 713543*d + 713543*d as o*d**2 + g*d + l and give o.\nAnswer: -1458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfq when three letters picked without replacement from hjhfjjhfhffffffqhfq?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 308580 (base 11) in base 7?\nAnswer: 4126450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -87*u + 1478 + 3133. Solve w + 52 = u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19918699 is divided by 19918668?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4275 * 0.142\nAnswer: -607.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 27 - 21. Let m(g) = -5 + 2*g**2 + g**2 - g**3 - 5*g**2 - g. What are the prime factors of m(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*s = -60*s + 29 + 111 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/3 in 4\/5, 0.02, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -7*c**3\/3 - 13*c**2 - 10*c. Let b be g(-3). Solve -5*w + 2*m = -w - 8, 4*w = -4*m - b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10293499761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1216590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -37\/5 not equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 5) to base 13\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m. Let a(w) = -14*w**2 - 2*w + 1929. Determine a(k(t)).\nAnswer: -126*t**2 - 6*t + 1929","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 1\/240*p**6 + 8*p**2 + 0 + 0*p**5 - 1\/16*p**4 + 1\/6*p**3 + 0*p. Suppose b(g) = 0. What is g?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d (base 16) to base 8.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1858*l = -260*l + 28764 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 184005 and 1740.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -719 != -720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3, 5*k + 3*q + 2 = 60. Let m = -3 + k. Is ((-1180)\/m + 1)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561503 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3635*b + 3057*b + 12716 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + (-58)\/4)*(-4 - -2). Suppose 25 = -26*p + s*p. Solve 7*t + 5*c = 2*t + 45, -p*c + 29 = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-22)\/q**(-16))\/((q*q*q\/(q**(1\/6)*q*q))\/(q**(-13)*q)))**(-4) assuming q is positive.\nAnswer: q**(226\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y - 1. Determine b(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - ((1 + -2 - 1) + -6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 2:18 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.11 + 2.09. Let b = -2\/29 - 25\/58. Is b > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*f + 12, 15*f + 2*x = 16*f - 4. Let i be -1 - 2\/(4\/(-2)). Solve i*q = f*q - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48 - -8) + -394 + 377?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 207 + -207. Suppose j = -5*p + 4*d + 40, 7 = 5*p - 7*p - 3*d. Solve 5*o - p = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -27*b - 11. Determine u(1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83.651 - 0.149. What is z rounded to zero decimal places?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -579, -582, -587, -594, -603?\n\"Answer: -h**2 - 578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16540945 is divided by 49229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 7\/3215, -0.2, -4\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 - p**2 + 4*p + 0*p**2 - 2*p**2 - 2 + p**2. Determine w(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 2*c**6\/5 - 2*c**3\/3 - 37*c + 36. Let n(t) be the first derivative of o(t). What is the second derivative of n(h) wrt h?\nAnswer: 144*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 4*n + 1. Let w(r) = -r**3 + 5*r - 2. Suppose -12 = 3*c, 0*x - 4*x = 4*c + 4. Give x*w(f) + 4*p(f).\nAnswer: f**3 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -6. Let h = 6 - n. Suppose -3*d + 55 = -h*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5 = 0, d - 27 - 18 = -t. Suppose -5*r + r + d = 0. Sort r, 3, 1, -1 in descending order.\nAnswer: r, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1266075 and 467703?\nAnswer: 2979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*g = 138*g + 1519 - 67 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from ooroorooooor?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 34992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -249711 by 77.\nAnswer: -3243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -276597199421.\nAnswer: -276597199418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 18779016 and 18779021 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -42 divided by -42\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 543458661?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*q - 59210 = 555*q for q.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*(1424\/(-6))\/(1\/(-1)). Let f be 3*(-2)\/(2 - 4). Suppose -f*s + g = s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 942375.4 litres in millilitres?\nAnswer: 942375400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 9*g**2 + 18*g - 42. Let a be b(20). Suppose -373 = -u + a. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 2, -24, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-26)\/(-229)) + (-1261904)\/132832?\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqssqsqqqsqqs. Give prob of sequence qs.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 16 = 4*a - 54, 0 = -v - 5*a - 2. Calculate the common denominator of (-26)\/(-143) + 97\/v and 53\/42.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2807 - -1182. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 - 715*c - 126092. What is q(-309)?\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bgi when three letters picked without replacement from {i: 1, g: 1, b: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -63830 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2\/5 of a century?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from ttik.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 405*w**5 + 630*w**4 - 745*w**3 - 590*w**2 + 340*w - 40 = 0?\nAnswer: -2, -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1475 divided by -6?\nAnswer: -1475\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 252671549 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 20*w**3 + 21*w**3 - 40*w**3 + 6*w**2 + 0*w - w + 1. What is y(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/6*144\/16. Suppose -h*r = -0*r + r. Solve 3*j = 0, -y - 2*j - 5 = -r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 528\/25 or -1377?\nAnswer: -1377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-28 - -13) - (0 - 16) - -4.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 1\/6, 2\/19, 2\/345 in decreasing order.\nAnswer: 4, 1\/6, 2\/19, 2\/345, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000135 to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -258, -271, -290, -315?\n\"Answer: -3*i**2 - 4*i - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -6. Suppose 30 = 3*o - 5*s, 2*o + 4*s = 3*o - 10. Solve -i*z + 4 - o = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 65 - 39. Suppose -5*n - 1093*m + 229 = -1095*m, -4*m - 233 = -5*n. Calculate the remainder when n is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92350 + -7203449\/78. What is the common denominator of v and -94\/15?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 6*t**2 + 7*t - 3. Let v be 12\/(-6)*14\/4. Let g be d(v). Calculate the lowest common multiple of (2\/g)\/(12\/(-18)) and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*w = 11749 - 11805 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 33*a**2 - 199*a + 9. Does 66 divide z(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*i - 2*q = -238, -4*i - 166*q + 28 = -170*q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 4*f**4\/3 + 950*f**3\/3 + 6962*f**2\/3 + 14284*f\/3 + 1840 = 0.\nAnswer: -230, -4, -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.3600117 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 14, -99, 5, -1\/649 in increasing order.\nAnswer: -99, -3\/7, -1\/649, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.5 (b) -98 (c) 16\/9 (d) 6\/11 (e) 1\/2 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 50*m**2 + 2*m + 2. Let x be a(-1). Let i = x - 22. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 - 5.06. Let d = -29 - -32. Which is the closest to 1\/2? (a) d (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13773245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7727 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouko when four letters picked without replacement from {k: 10, u: 3, c: 1, t: 1, o: 2, r: 2}?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k. Let q = -10 + 7. Let y(g) = -4*g - 5. Let j(u) = q*c(u) + y(u). What are the prime factors of j(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -793*p**3 - 36*p**3 + 62*p**3.\nAnswer: -767*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*k*s**3 - 490*k*s**2*u**2 - 2*s**3 + 8*s*u**2 + 3*s + 4*u**2 wrt k.\nAnswer: 7*s**3 - 490*s**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 28. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5190*40\/5600 - (-2)\/(-28).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -10\/7, 5856, -2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147664711?\nAnswer: 147664711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 8:04 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 689994?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/4, -0.2, -2\/3047 in decreasing order.\nAnswer: 7\/4, -2\/3047, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -16. Let j be (-69)\/(-15) - ((-12)\/(-5))\/h. Let z be (-2)\/(-4)*(84 - 12). What is the highest common factor of j and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 7:39 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-49)\/(-112))\/(788\/(-112) - -7)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -672642300 to the nearest one hundred thousand.\nAnswer: -672600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 10:35 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*m - m**3 + 194*m + 6*m**2 + 339*m to g*m**3 + v*m + h*m**2 + o and give v.\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -402 - -404. What is the remainder when 32\/(-10)*20\/(-8) is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 0.479 (c) 4 (d) 1\/5 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 4*u. Let m be 2 + ((-108)\/20 - -6 - 72\/(-30)). Solve -u*s = 5*j + 25, 0*s = -3*s - j - m for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2)*(-1851*d + 895*d + 538*d) in the form l*d + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, z: 4, m: 3, d: 1}. What is prob of picking 1 d, 1 m, and 2 z?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 1. Suppose 0 = -y - v*y + 124. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156988.4 months in decades?\nAnswer: 9641.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -235739*f**3 + 38*f**2*t - 3*f + 415089*t wrt f.\nAnswer: -1414434*f + 76*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -3*d - 423, -178 - 535 = -5*j + d. Calculate the highest common divisor of 77 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1790.589 rounded to the nearest integer?\nAnswer: -1791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**5\/35 - 5*l**4\/28 - l**3\/3 + 5*l**2\/14 + 6*l\/7 - 308. Determine k, given that q(k) = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*2*-5)\/sqrt(10).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*u + 6*u. Suppose 4*j - 21 = -u. Suppose 2*z - 4 = j*r - 2, 0 = 2*z - 5*r - 1. Solve -5*k = -5*m - 15, -2*m - z*m - k = -15 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2648 - 2008 = -6*f. List the prime factors of f.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392901201 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in centimeters?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -q - 3. What are the prime factors of q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 271421, 542836, 814249, 1085660, 1357069, 1628476?\nAnswer: 1899881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.24 - -0.2. Let j = q - 0.06. Let h = 3851 + -3855.2. Are h and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, v: 6, u: 3, i: 5}. What is prob of sequence iimu?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -671 - -1001. Find the common denominator of h\/(-4)*(-18)\/(-300) and 39\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1831936 to the power of 1\/3, to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.02, -0.54, -4 in decreasing order.\nAnswer: 2, 0.02, -0.54, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -86\/46869147 and -62\/819.\nAnswer: 328084029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -200 - -23347. Is u a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21, -32, -51, -78, -113, -156, -207?\n\"Answer: -4*g**2 + g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 232 - 40. Let u = k + -188. Let n = -0.7 + 0.2. Which is the nearest to 0? (a) u (b) n (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1\/58 (b) -2 (c) 1\/26 (d) -1 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 6*o + 9. Let p be h(-6). Which is smaller: 11 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 2314 - 6072 = 0. Let p = b - -1924. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d7170 - -1?\nAnswer: -d716e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3085.94 - 2997. Let a = 89 - o. What is the third biggest value in -0.4, a, -2\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204\/344*(-3843)\/441?\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1271 divided by 5.\nAnswer: -1271\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 34*c**2 + 4*c - 4. Let b(l) = -1121*l**2 - 142*l + 94. Let n(j) = -2242*j**2 - 281*j + 201. Let s(u) = 5*b(u) - 3*n(u). What is 133*h(f) - 4*s(f)?\nAnswer: 38*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 149 + -277. Let f = n + 128. Sort f, 1, 3 in descending order.\nAnswer: 3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 6:10 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1\/15, -260.31, 3\/2.\nAnswer: -260.31, 1\/15, 3\/2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12388689 is divided by 1181?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9*(-6)\/(-54) + 6. Suppose 4*d + 39 = 211. Suppose -w*c = -3*c - h - 137, 2*h = c - d. Round c to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -591*y + 89*y - 1004 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -b + 227662, -35*b = -4*f - 39*b + 182120. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q + 3*q**4 - 3*q + (51 - 61 - 28)*(-2 + 3*q**4 + 2) - 4*q**4 + 4*q**4 + 2*q**4 in the form u + w*q**3 + n*q + i*q**2 + y*q**4 and give y.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 12*s**2 - 3. Let x(j) = -j**3 - 11*j**2 + 2. Let v(o) = 3*x(o) + 2*y(o). Let w be v(-9). Is -3\/4 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -15 in descending order.\nAnswer: -2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-10) + (-164)\/220. Let m be (4\/(-6))\/(6\/9). Is g != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 26*t**2 - 27*t - 25. Determine b(-27).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i + 5. What is the remainder when n(-2) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7389*b**2 + 867*b - 25. Let s(y) = -1847*y**2 - 217*y + 6. Let r(d) = -4*f(d) - 15*s(d). What is the second derivative of r(l) wrt l?\nAnswer: -3702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**6\/120 - d**5\/30 + d**4\/12 + d**3\/2 + 4*d**2. Let p(s) = -s. Let g be p(-2). Suppose -8 = 5*w + g. Determine q(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169448901 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 531905.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.632477um to centimeters.\nAnswer: 0.0002632477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(2\/3))\/i**2)\/(i**(2\/5)\/i**(-5\/2))*(i**(-1\/3)*i)\/(i\/(i**4\/i*i*i))*((i*i**(-2\/9))\/i)**(12\/5) assuming i is positive.\nAnswer: i**(-13\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-3\/7))**(6\/7))**29)**45 assuming z is positive.\nAnswer: z**(-23490\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - h + 3*h + 0*h)*(-9 - 13*h**3 + 9).\nAnswer: -26*h**4 + 39*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -8, -2\/5, 49?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1114233 (base 5) to base 3\nAnswer: 1000100122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 17*g**4\/24 - 54*g**2 - 7*g. Let n(h) = 4*h**2 + 4. Determine n(k(y)).\nAnswer: 1156*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 668 = 335*a - 27 + 25. Solve q - 2*f + 3 = 0, -a = 5*q - f - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.2, -3, 0.7, -11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3*b + 2 - b)*(7*b + 6*b - 4*b) in the form m*b + k + d*b**2 and give m.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -7. Let u(p) = -15*p - 438. Suppose -2*d - 48 = -0*t - 5*t, -27 = d - t. Let k be u(d). Put 1, m, 5, k in ascending order.\nAnswer: k, 1, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*x. Solve x = -3*q + n + 17, 3*q - 2*n = 20 + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 2:44 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13501 and 15849.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -249267, -249166, -249063, -248958, -248851?\nAnswer: -248742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*r = -6, 0*r - 24 = -5*u - 3*r. Solve -3*n = 4*v - 12, 0 = u*v - 2*n + 1 - 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0.3. Let k = 943 + -948. Let y = 1 - -11. Sort k, 1, y, u in ascending order.\nAnswer: k, u, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 28*n**2 + 298*n**3 - 2 - 26*n**2 - 70*n**3.\nAnswer: 228*n**3 + 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**3\/3 + 132. Let t(g) = -6*g + 5. Let i(u) = -7*u + 6. Let v = 22 - 16. Let o(k) = v*t(k) - 5*i(k). Determine j(o(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*l - 386 = 68*l. Let j = -185 + l. Solve -12 = u - 3*c, 2*u - 2*c + j = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 5 - 18. Suppose -5*f + 2 = -t. Calculate the highest common factor of 2 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232 (base 4) to base 12\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s. Let r(v) = -23694*v**2. Determine r(f(j)).\nAnswer: -94776*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -468*w + 37911. Calculate p(81).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hn when two letters picked without replacement from {h: 3, w: 5, n: 1, l: 5, k: 1, c: 5}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 8 = -5*d. Let w(f) = f**3 + 7*f**2 - 9*f - 8. Let j be w(-8). Suppose j = -d*r + 7*r - 1295. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/((-28)\/(-75)) - 8\/(-32). Solve -l*n = -17*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -250501122 (base 6) in base 9?\nAnswer: -10022625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/64 and -11\/289120.\nAnswer: 578240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537340.\nAnswer: 2, 5, 67, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/10)\/(231\/(-770)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 74 divided by 1914\nAnswer: 37\/957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 949313\/1017 + 8\/(-18). Suppose 3*h = -0*h + 3*x + 6, -4*x = 4*h - 24. Suppose 0 = -4*u + h*v + 3672, 2*u = 3*u + 2*v - q. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18\/25 or -1?\nAnswer: -18\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 10 = 4*a - 3*n, -5*n + 28 = 3*a. Let k be a\/(-3) + (-2)\/(-6). Suppose g + g + 12 = -5*v, -2*v - 4 = k. Sort 4, g, 5.\nAnswer: g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3722 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - 0.4. Let w = -0.05 + k. Let f = -87.11 + 86.81. Which is the smallest value? (a) w (b) f (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4522\/31 - 275761\/124. Let h = -2352 - i. Let v = 3253\/380 - 207\/20. Calculate the common denominator of h and v.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g + 12. Let m be j(7). Suppose -2 = -5*a + h + 14, m*h = -5. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509438 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2095 + 2095.00000357. What is u rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80827184.\nAnswer: 2, 449, 11251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 4*x**2 - 6*x - 3. Let o be h(-5). Let a(z) = -2 - 3*z**2 + 9*z - 5*z + o*z**3 + 0*z**3. What are the prime factors of a(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/73 and 11\/8.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28.63 - 29. Let m = -372 + 371.53. Let g = m - i. Which is the closest to 1? (a) 0 (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11, 1, 13, 25, 37, 49?\n\"Answer: 12*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 24 - ((0 - 1) + -2 - -58).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -4. What is the second derivative of -2*a**5 - a**5 - 9*a + 20*a + g*a**5 wrt a?\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d7 + 4?\nAnswer: -d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -1399478.\nAnswer: -5\/1399478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/12)\/((-300)\/(-90)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1635 + 2601 - 3255)*(3*r - 5*r - 7*r).\nAnswer: 20601*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4423602 and 5394?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**5\/11 + 114126*b**4\/11 + 1311894*b**3\/11 - 741544*b**2\/11 - 684480*b\/11 = 0.\nAnswer: -28520, -12, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 10*m - 24.\nAnswer: -(m + 4)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + -1 + (-311 - -304 - (-9 + 2)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 18*d**2 - 26*d + 214. Let y be w(20). What is the highest common divisor of y and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16 - 18 + m**4 + 36 - 3*m**2 + (m + 2*m - 7*m)*(-2*m**3 + 2*m**3 - m**3).\nAnswer: 5*m**4 - 3*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.2 + 16.2. Which is the closest to 2\/5? (a) -7 (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 - 2*f. Let j(x) = x**2 - x. Let b(o) = o**3 - 4*o**2 - 5*o + 6. Let s be b(5). Let d(p) = s*t(p) - 14*j(p). Suppose d(h) = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 528\/(-40) + 1\/5. Let y(j) = j**3 + 12*j**2 - 12*j + 16. Let t be y(n). What is the first derivative of 2*b**4 + 4*b**4 - t*b**4 + 10 - 2 wrt b?\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 137 - 97. Let x = 39.99958 - s. What is x rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4478 is divided by 1106?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4849?\nAnswer: 13, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 658233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 1\/3*q**3 + 0*q**4 - 1\/20*q**5 - q**2 - 11*q + 0. Give p(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 14*b = 11*b - 8, r = 5*b + 11 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 279350\/7 or 39907?\nAnswer: 39907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.8495891kg?\nAnswer: 0.0008495891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f. Let a(q) = -5 - 197*q**2 + 2 + 658*q**2 + 3. Calculate w(a(d)).\nAnswer: -1383*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*w + 4, -w + 10*q + 12 = 13*q. Put -2, 2, w, -13 in decreasing order.\nAnswer: 2, w, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 - 84*b + 1760. Calculate the smallest common multiple of g(45) and 210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 11*k - 6. Let f(a) = -10*a - 2. Let g(x) = -9*x - 1. Let y(w) = -4*f(w) + 5*g(w). Determine 7*y(c) + 3*z(c).\nAnswer: -2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -68*q**3 - 4*q - 2. Let i be a(-1). Suppose i = 18*u - 8*u. Let j(g) = 15*g - u*g - 10*g. Let m(l) = -26*l. Calculate j(m(b)).\nAnswer: 52*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 629\/(-2) - -2 - (-3)\/6. Let p be 0 + k\/80 - -1*3. Do p and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -3)*24\/9. Let u = 11 + o. Let p = u - -7. What is the greatest common divisor of p and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8355)\/120 + 18\/1440*-30?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 74598 and 0.3.\nAnswer: 22379.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = u + 1, 2*j + j = 5*u - 5. Sort -2, 38, u in descending order.\nAnswer: 38, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 989*o + 15 = -d + 992*o, 2*d = -5*o + 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 512816 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70040474 is divided by 2334682?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2.41, -3, 600.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 12) in base 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 114.21035+-6.2725\nAnswer: 107.93785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -3, -4 in decreasing order.\nAnswer: 2, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(-1)*n*n))**(-1\/2))**(-24) assuming n is positive.\nAnswer: n**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 10, 11, 4, -17, -58, -125?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 0.5, -3, -1\/3, -9804 in ascending order.\nAnswer: -9804, -3, -0.7, -1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37196 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 5 - 10. Let m = -0.07 - -2.07. What is the nearest to 1 in s, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101100 (base 2) in base 10?\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 848.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 15 - 9. Solve 0 = -f*q - 2*q + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 9*a - 12. Let n(h) = -h**2 - 10*h + 12. Let l(o) = -5*n(o) - 4*y(o). Let t be l(-15). Suppose 5*z = 7 + t. Solve -3*w = -1 - z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t + 78. Calculate d(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.171 - 12.171. Which is the second smallest value? (a) 4\/5 (b) -0.1 (c) p (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 34003827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74.9 + 74.90379. Round y to four dps.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/102 + (-3 - -3). Sort 0.4, 5, n in increasing order.\nAnswer: n, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - -830?\nAnswer: 836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*h + 70 = 0, 0 = -4*o - 5*h - 39 - 38. Let l = -12 - o. Let z(n) = -l + 16 + n + 0*n. Determine z(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1462665433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3687)\/(-10) + (-90)\/(-300). Let m = 93 + -84. What is the greatest common divisor of m and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**2 + 11*k**2 - 3*k**2 - 8*k**2 - 4*k**2.\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-1*-2 - (3 + sqrt(11) + sqrt(11))*1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23438 - -26768. Calculate the smallest common multiple of m and 75.\nAnswer: 16650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 172 = -3*b + 4*h, -4*h - 206 + 37 = -5*b + 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 4*x**2 - 96*x + 19. Let j be l(14). Suppose -y - 4*r = -j, y - r + 2600 = 5*y. Is y a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 668.3 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/165 + (1 - 13\/(-35))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -817803\/20 smaller than -40890?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 83.46576 grams?\nAnswer: 0.08346576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-6)\/84*2). Solve 0 = 2*k + o*k - 27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*j**2 + j**2 + 3*j**2)*(3 - 1 + 4)*(4 - 4 + 1)*(-1 - 6 + 1)*(23 - 2 + 11)*(0 - 1 + 0) as t*j**2 + o + f*j and give t.\nAnswer: -1152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7500 + -2?\nAnswer: -7502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*1*sqrt(84))\/(sqrt(60)\/(1*sqrt(5))).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.451, -0.4, -11\/3, -0.01, 1, -0.3, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 w when four letters picked without replacement from uqwwwquuqwq?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1187, 18797, 66591, 159659, 313091, 541977?\nAnswer: 861407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - -4)\/(0 + 1). Suppose 3*h - 76 - 110 = c. Does 29 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -378356, -756722, -1135100, -1513496, -1891916, -2270366, -2648852, -3027380?\nAnswer: -3405956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((z - 5*z + 3*z)*(4 - 5 + 0) + 6*z - 4*z - 6*z)*(11503*z - 204*z**3 - 11503*z) as j*z + o*z**4 + p + w*z**3 + r*z**2 and give o.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/52)\/(10\/(-8)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i + 7*i - 15*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 10*f**2 + 10. Determine w(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1902064*c**3 + 2*c**2 - 6257038*c wrt c.\nAnswer: -11412384*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2479 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnhjhnmnkjnknmnnmj. What is prob of sequence kj?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 419170 to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 2400?\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*q - 27, 6*r - 4*q = 3*r + 26. Let s = 116 - -134. Let g be (s*180)\/(r\/4). What is g rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 14*m**2 + 15*m - 9. Let l(s) = 5*s**2 + 5*s - 3. Let o(c) = -6*f(c) + 17*l(c). Suppose 10*n - 15*n = -15. What is o(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1692070, -1692084, -1692098?\n\"Answer: -14*t - 1692056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29 or -155389?\nAnswer: -155389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 q when two letters picked without replacement from qqtanhlqlnl?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 252 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 6*r**2 + 5*r + 5. Let j be v(-3). Let z = 24 - j. Is z\/(-90) - 6739\/(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 26229, -4, -1, -195?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 12. Let s(v) = v**3 + 14*v**2 + 14*v + 16. Let h be s(p). Solve -5*u = -0*u - 3*g - 23, -19 = -4*u + h*g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 432135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 704164167 + 0.736\nAnswer: 704164167.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*o - 10*o - 131 = 381 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 6 = 4. Solve -f - 8 = -l*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j + 16. Let h be x(13). Let s = 3240\/7 + -463. Let n(t) = t + 10. Let l be n(-8). Which is the third biggest value? (a) l (b) -2 (c) h (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 0.006, 2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 + -43. Which is the second biggest value? (a) z (b) 0.2 (c) -2\/9 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 5*z**2 + 2*z. Let v(r) = r**3 - 4*r**2 - r. Give 2*h(g) + 3*v(g).\nAnswer: g**3 - 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o - 22*o - 7 = -2*n, -n + o + 4 = 0. Suppose 3*i = 4*s - i - 200, -n*i + 5 = 0. What is the highest common factor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7097 - -0.7. Round u to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22366*y - 22402*y = -576 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u - 3*u - 4794 = 0. What is the remainder when (u\/(-4))\/(147\/98) is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -27*((-8)\/(-3) - 6\/2). Let n be (15\/i)\/((-1)\/(-3)). Suppose -3*l = -n*l - 4. Let m(w) = -w**3 - 2*w**2 - 2. Determine m(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9445019 a multiple of 968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 i when four letters picked without replacement from ihiihiiiii.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from {e: 1, w: 1, n: 2, v: 5, c: 1, g: 3}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3)*t**(-1)*t**(-4\/7)*t**(-1\/4) assuming t is positive.\nAnswer: t**(-135\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -257 - -310. What is the remainder when n is divided by 51?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -5\/6 (c) 3\/4 (d) 0.1 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -218 - -223. Suppose -7 = -i*r + 3*s, -5*s - 14 - 6 = 0. Let q = 259\/5 + -52. Which is the third smallest value? (a) q (b) 21 (c) -4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 u, 1 v, and 1 c when four letters picked without replacement from {c: 3, v: 1, r: 5, u: 6}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 27*r - 87589 = -28*r, -5*r - 58370 = -2*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 3*s**2 - 9*s + 6. Determine q(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -181760476, -181760475, -181760474?\nAnswer: -181760473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 4*d**2 - 6*d - 2. Let y be r(-5). Solve y*j + 3*t = -14 - 1, 3*j + 19 = -5*t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36785201 or 36785198?\nAnswer: 36785198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -19. Let g(s) = -s - 8631*s**2 - s - 8 + s**3 + 8639*s**2. Is g(f) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -30*k + 15. Let x(w) = 15*w - 7. Let p(v) = -6*a(v) - 13*x(v). What is p(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -543 - -624. Let j = -31373552.14 - -31373471.13999967. Let y = w + j. Round y to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, k: 2, d: 2, e: 1, a: 4, x: 2}. What is prob of picking 1 e and 2 d?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1234, -4912, -11052, -19678, -30814, -44484, -60712, -79522?\nAnswer: -100938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d - 20*d - 6*d - 12*d.\nAnswer: -29*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(171) + 5*(-2 + sqrt(171)))*-1*-4*-3)**2 + -3)*1.\nAnswer: -53568*sqrt(19) + 901837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5769 + -11927689.006.\nAnswer: -11921920.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -909, -917, -937, -975, -1037, -1129, -1257, -1427?\nAnswer: -1645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 243 - 292. Let z = a - -54. Solve -4*k + 17 = -0*r + z*r, 15 = r - 5*k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q. Let z(m) = 33*m - 231. Let x be z(7). Let j(w) be the first derivative of 2\/3*w**3 - 1 + 0*w + x*w**2. Calculate t(j(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 2 + 18 + -13 + (-28 - -1).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -245*l**3*r**2 - 18*l**3*r - 3*l**3 - 2*l**2*r + 769421*l*r**2 - 2*l - 26*r - 10737 wrt r?\nAnswer: -490*l**3 + 1538842*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 5*u**2 + 1\/120*u**4 + 1\/600*u**5 + 0 + 0*u - 1\/2100*u**7 + 0*u**3 - 1\/600*u**6. Find x such that g(x) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d**2 - 3*d - 13. Is n(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-1)*(-10)\/(-8)*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 0*k + 0*k + (3 - 5 + 1)*(2 - 2*k - 2))*(-29*k - 33*k + 17*k) - 3*k**2 - 5*k + 5*k + (-3*k**2 + 3*k**2 + 2*k**2)*(-4 + 2 + 1).\nAnswer: -275*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence poop when four letters picked without replacement from lolollllpllolpl.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c = 3*p + 34, -12*p = -8*p - 7*c + 8*c - 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-2)\/(-2) - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 9*p**2 + 9*p - 9. Suppose -153*z + 306 = -155*z. Let x be (-182)\/18 + (-17)\/z. What is c(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2911 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -143*t + 3 - 142*t + 1 - 26*t**2 + 284*t + 5*t**2 - 4*t**3 wrt t?\nAnswer: -24*t - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 914 = -4*b - 3*w, 5*b - 3*w + 1156 = 0. Let j = 976\/5 - 5681\/30. What is the common denominator of 13\/14*b\/69 and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13998.9796 + -0.9796. Let c = 13994.9065 - y. Let q = 3.1 + c. What is q rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 1585*k + 4 + 2 - 6 + 365*k. Let a(c) = -47*c. Calculate -208*a(b) - 5*x(b).\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/55)\/j)\/j*j*j\/j**(-8) assuming j is positive.\nAnswer: j**(438\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 693 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-14) - (463632\/4032 - 114).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 17. Which is the biggest value? (a) 0.3 (b) 7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**3 - 5*q**3 + q**3 - 12*q**3 - 51*q**3 - 30*q**3 + (-2*q + 6*q - 2*q)*(3*q**2 - 8*q**2 + q**2).\nAnswer: -102*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2169*d + 19453 = 151827 + 6442 for d.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*c, l = 547*c - 544*c - 11 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*k - 12 = -k, -2*k = 5*g - 6. Suppose -5*h = 2*u - 1468, g = -4*u - 31*h + 33*h + 2984. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 13, e: 1, o: 6}. Give prob of picking 2 o.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2 + 2 + p. Let c(d) = -d - 693. Let b(w) = 1053. Let k(x) = -2*b(x) - 3*c(x). Give s(k(m)).\nAnswer: 3*m - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335503?\nAnswer: 7, 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 1718 + 3*o + 6*o**3 + o**2 - 1718 - o. Give w(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 8*c = -2*t + 8, 2*t + 2 = -2*c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5482, -6233, -7484, -9235, -11486, -14237, -17488?\nAnswer: -21239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 37 - 397 = 0. Suppose -6*p + t + 3 = 0. What is the lowest common multiple of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 35\/10*80\/56. Let v(d) be the first derivative of -14 + 5\/2*d**2 + 1\/3*d**3 + j*d. Determine v(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8833595 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -b - 2*b. Let y(h) = h**3 + 3*h**2 - 2. Let m be y(b). Solve -t - m*t + 9 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -87 - 2) + (-3 + -33 - (-1412 + 1364))\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 5*j + 2*y - 7 = 0, 4*j - 4*y + 4 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7854 is divided by 370?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 1664*b - 692224.\nAnswer: -(b + 832)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15505 and 630?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 323571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l = 4*x + 8, 0 = -2*x. Suppose c - 51 = -5*m - c, 0 = -5*m + l*c + 59. Put m, 3, 4 in descending order.\nAnswer: m, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -7*i**2 + 7*i**2 + 37 - i**2. Let a be v(0). Suppose -5*q + a = -3. Solve g + 2*g = x - 8, 0 = 2*x + 2*g - q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.3, -0.4, 6, -0.2 in increasing order.\nAnswer: -0.4, -0.2, 0.3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 8*v - 37. Let j be z(-12). Let f = 187 - 28. Suppose f = 3*r - 2*t - 40, -3*r + t + j = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1312599 or -1312609?\nAnswer: -1312599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*q - 216 = 0, -189 - 36 = -5*h + 5*q. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + t = -3*t, -4*i + 2*t + 47 - 25 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210120 - 1011?\nAnswer: -211201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1005 and 35?\nAnswer: 7035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2614010 by 35.\nAnswer: -74686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 173191 divided by 28?\nAnswer: 173191\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**6\/90 + r**5\/15 - r**4 + 2*r**2 + 5*r. Factor b(g).\nAnswer: 4*g*(g - 3)*(g + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3002 (base 4) in base 3?\nAnswer: -21012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -10. Let f be -5*6\/(-90)*1. Which is the third smallest value? (a) j (b) f (c) -0.5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 2:27 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -377*b - 1480. Calculate l(-6).\nAnswer: 782","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -3, -1 in descending order.\nAnswer: 4, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1c8 (base 13) to base 16\nAnswer: -14d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 39, 30, 21, 12, 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2252, -2254, -2254, -2252, -2248?\nAnswer: -2242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5\/3 + 14*b**4\/3 + 12*b**3 + 34*b**2\/3 + 11*b\/3 = 0. Calculate b.\nAnswer: -11, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 818*b - 276*b + 2*b**2 - 274*b - 268*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 - (1 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(684) + -1)*4.\nAnswer: -48*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-14)*3570\/1700\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/9 - 220384*n\/3 - 36369410\/9 = 0. What is n?\nAnswer: -55, 330631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7040650 rounded to the nearest one hundred thousand?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 816 is divided by 757.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7*h - 78. Let g(c) = -19*c + 235. Calculate 4*g(a) + 11*o(a).\nAnswer: a + 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1235\/(-741)*4\/((-20)\/27717) is divided by 210.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 151 - 576 = 0. Let z = q + 141. Let m be -1 - (-8 + 1 + -2). Calculate the highest common divisor of z and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12498160 rounded to the nearest one hundred thousand?\nAnswer: -12500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 136 + 136. Is h less than or equal to -8\/211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24521?\nAnswer: 7, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 178 - 128. Let l = v - 49.9. Let n(i) = 3*i**2. Let u be n(1). What is the second biggest value in -0.14, u, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 - 2*o - 8. Let t be i(-4). Is (-6)\/8 - (-4504)\/t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 619992 = -4*b, -d + b + 8378 = 318376. Round d to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1031*o**2 - 2*o**3 + 929*o**2 - o**3)*(-35 + 4*o + 35) to z*o**2 + h*o**4 + f*o**3 + p + r*o and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**4\/24 + 54*m**2. What is c(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51.5 - -78. Let q = d + -29.95. Round q to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71789 + -2010415\/28. Let d = l + 45\/4. What is the nearest to -0.1 in d, 0.5, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m - 8. Let q = 141 - 74. Let d = q + -72. Calculate the lowest common multiple of 13 and p(d).\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-142 - -137) + ((-25)\/(-4) - 0)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 5*d - 2. Let q be v(-4). Let x be (-8)\/q + (0 - -4). Solve 5*n = -x*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*l**2 + 343498*l - 4*l**3 - 343498*l + 409 - 404 to h*l + r + b*l**2 + d*l**3 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -9567568*z**2. Let f(y) = 2*y**2. What is s(f(k))?\nAnswer: -38270272*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = i + o, -5*o - 684 = -i - 736 for i.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, o: 2, e: 10}. What is prob of picking 1 e and 3 w?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.82 + -0.746. Let v = p - 0.0740118. What is v rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4\/7)*o**(-2\/3))**(1\/37))**(-33) assuming o is positive.\nAnswer: o**(286\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 358 - 259. Let r = x - 88. Solve 4*n + 14 = r*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 717896.8 centuries in months?\nAnswer: 861476160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10498?\nAnswer: 2, 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15172655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/207 and 25\/449972.\nAnswer: 4049748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -32632284 divided by -4?\nAnswer: 8158071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16397 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1659.\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*1706.99.\nAnswer: -170.699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15637910.4 minutes to weeks.\nAnswer: 1551.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 2. Let o(f) = -3 + 7 - 10 + 3. Calculate -4*o(d) - 5*u(d).\nAnswer: 5*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 172195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -8*f + 9*f, 4*q + 2*f = 2. Solve x - 30 = -4*x + 5*m, 5*x = q*m + 22 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1549*d + 355301 = -634*d + 4388*d for d.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + 2 + -1 + sqrt(847))**2*-3.\nAnswer: -2589 + 264*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 986*i = 327*i - 8567 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + 2)*(-4)\/45. Which is the nearest to -1\/2? (a) r (b) 1\/9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 28 = -3*l, 0*d + 2*d = 2*l - 32. Let u(a) = 4*a**2 + 4. Let n(s) = -s**3 - 11*s**2 - 11. What is l*u(r) + 4*n(r)?\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -53051455*t*x - 158991306*x wrt t.\nAnswer: -53051455*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p + 26. Let d be b(-11). Suppose 0 = r + 4*r + 4*n - 5366, d*r - n = 4297. What are the prime factors of r?\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2 + 51*q. Let u(v) = v**2 + 17*v. Calculate -3*s(t) + 8*u(t).\nAnswer: -t**2 - 17*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-26)\/39)\/(43\/(-129)). Solve 4*r + 68 = g*s + 66, 1 = 5*r + s for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**2\/5 + 8456688*r\/5 - 5959630994112\/5 = 0. What is r?\nAnswer: 1409448","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 7. Suppose -2*b = -b - l. Suppose 2 = u - b. Solve -4*t - u = -m - 2*m, -4*t + m + 3 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/7)\/(198\/(-308))*111.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 892*p**3\/3 - p**2 + 923*p - 8753. Differentiate k(j) wrt j.\nAnswer: 1784*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*l + 12601 + 17000 = 206*l. Calculate the remainder when l is divided by 37.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28 or -27495?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 26. Let y be a(11). Suppose 20*x = y*x - 90. Let r be (-924)\/x*(-6)\/(-4). What is the highest common factor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 41. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254*c = 308*c - 32886. What is the greatest common divisor of 840 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + 0*z + 4*z)*(-z - 2 + 2)*(-6*z + 0*z + 3*z)*(-2 + 3 - 4 + (-2 - 1 + 1)*(2 - 1 + 1) - 4 + 5 - 3) to l*z**3 + d + y*z**2 + s*z and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -52? (a) 1\/2 (b) 3\/2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 16*v + 23 = -217 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77 and 38984?\nAnswer: 272888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 11*r + 97 + 11 = 0, -3*r + 39 = 4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/56*9\/(27\/12)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 30*s**3. Let n(u) = u**3 + 1. Suppose -3*k = 33*q - 31*q + 14, -2*k - 14 = 6*q. Calculate q*f(z) + 2*n(z).\nAnswer: -28*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 3:33 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(324)\/(sqrt(144) - sqrt(9)))\/(sqrt(12) - 2*sqrt(12)*-5) - sqrt(24)\/(sqrt(48)\/sqrt(6))*4*-4)**2*6.\nAnswer: 559682\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1078, 2155, 3232?\n\"Answer: 1077*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229011, 458023, 687035, 916047, 1145059, 1374071?\nAnswer: 1603083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 761302.8 kilograms?\nAnswer: 761302800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (8 + 3 - 0). Let p be (4\/(-5))\/(q\/75). Is 267*(-1)\/p*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 40 = 4*i. Suppose i = -11*t - 67. Let h(m) = -m**2 - 6*m - 8. Calculate h(t).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -8 - (54 + -56).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -409904\/159 + 2578. Which is the third biggest value? (a) -0.03 (b) -4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 553424963 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 3 (b) -0.31 (c) -5 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9055 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x**4 + 108*x**3 + 302*x**2 + 292*x + 106. Let h(u) = 12*u**4 + 324*u**3 + 907*u**2 + 876*u + 323. Let g(i) = -2*h(i) + 7*j(i). Factor g(n).\nAnswer: 4*(n + 1)**3*(n + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*l**5\/3 + 37732*l**4\/3 + 1214264*l**3\/3 - 343652*l**2\/3 - 1214248*l\/3 + 305920\/3 = 0. Calculate l.\nAnswer: -32, -1, 1\/4, 1, 2390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1175 - 74?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**3 + a**2 - a - 2. Let z be b(-2). Let y = z - -112. Round y to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -18.6 (b) 4\/7 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/12243 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**3))\/b)**14*(b\/(b*b**(1\/5)\/b*b))**(-2\/123) assuming b is positive.\nAnswer: b**(17222\/615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/897)\/(3\/18).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2194272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - 13*r - 16. Let k = -2 + 3. Calculate the remainder when m(-6) is divided by (-2)\/(-4)*(29 - k).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-1 + -7) - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7344.471 and 0.461.\nAnswer: 7344.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {b: 1, r: 2, t: 1, f: 1, c: 5, l: 3}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 222 and 222.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25488834?\nAnswer: 2, 3, 7, 149, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 712\/5 + -143. Which is the biggest value? (a) x (b) -6 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 + 3*h**2 - 2*h. Let f be i(2). Suppose 0 = -r + 2*r - 7. Let t(z) = z + 9. Let y be t(r). What is the greatest common factor of f and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*l - 7*l. Let z(y) be the third derivative of 2*y**2 + 1\/132*y**4 - 1\/660*y**6 + 0*y**5 + 0*y**3 + 0 + l*y. Factor z(q).\nAnswer: -2*q*(q - 1)*(q + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*(-6)\/120*10\/(-2895). Is s bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 321 + -316. Let x = -84\/143 + 10\/13. Which is the closest to 0.1? (a) x (b) o (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxhlxhexxhxgge. Give prob of sequence le.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, -1, 14, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 3*q**2 - 243. Let x(l) = l**2 - 106. What is x(f(z))?\nAnswer: 36*z**2 - 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 376000 a multiple of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2989*z = 2594*z + 13825 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*d**2 - 2813*d**3 - 27*d**2 + 2049*d**3 - 18*d**2.\nAnswer: -764*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-1))*v)**(-3\/13)\/((v**(2\/7)\/v*v)\/(v**(-1\/8)\/v))*(v**(-2)*v*v*v*v**1*v)\/(v**0*v)**16 assuming v is positive.\nAnswer: v**(-10827\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 6*b**2 - 8*b + 16. Let g be (-125)\/15 + 12\/9. Let d be u(g). Solve -2*v + 5*t = -5*v + 5, 3*v - d = 4*t for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -3. Let i = 0 - x. Let w(t) = -8*t + 2. What is the least common multiple of w(i) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -0.2 (c) -6\/11 (d) -4 (e) 8 (f) -409\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7065607*g**3 - 2517047*g**3 + 0 + 0.\nAnswer: 4548560*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4 = -4. Solve l*o = -o - 5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of 1\/2*a**2 - 4*a - 1. Let f be u(9). Solve 4*b + 4 + 2 = -f*m, -b + 9 = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2.4. Let i = 213\/4 - 54. Let y be ((-6)\/8)\/((-21)\/14). Which is the closest to y? (a) i (b) v (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13136, 26267, 39398, 52529?\nAnswer: 65660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 12*b**2 - 23*b. Let l be k(-13). What is the highest common factor of l and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208762 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614178477?\nAnswer: 3, 11, 19, 127, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16 + 54572\/1 + 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -3\/2, -8, -0.4, 50, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65\/7 - 5)\/((-8)\/(-28)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.53 + 25.33. Let a = -12131485.8000028 - -12131477. Let d = a + j. Round d to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4*u + 6. Let y be l(5). Let z be 2 - 1 - (-30)\/y. Suppose 48*h - 14 = 55*h. Is h at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*p - 22696 + 43956 - 21260.\nAnswer: 63*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3466.38 rounded to the nearest ten?\nAnswer: -3470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 256 or 228?\nAnswer: 256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1117 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 293 + -202. Let n = q - -279. Let g = n + 1153. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*m + m + 26 = 0, -3*m = 12. Solve 5*v - i = 5*j + 8*v, -1 = -4*j + 3*v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25827 divided by 209?\nAnswer: -25827\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*u - 90 = -38*u. Suppose -154 = -4*g - 54. What is the smallest common multiple of u and g?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001227 to 6 decimal places.\nAnswer: 0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*d + 14*d - 67*d + 14*d + 17*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 3*m = -100. Let v be (-2)\/m - 2\/(-5). Which is greater: 2 or v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3555498, -3555517, -3555536?\nAnswer: -3555555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 12:07 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-1\/6))\/(d**(-2\/9)\/d) assuming d is positive.\nAnswer: d**(55\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u + 101. List the prime factors of p(-4).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/2, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 56\/3. Let c = 0.4 + -0.2. Let f be 0\/(-3) - -3 - 1. What is the closest to z in -5, c, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4\/z**(7\/4)*(z*z**6)\/(z\/(z*z\/(z*z**(-2)*z))))**(-39))**(1\/3) assuming z is positive.\nAnswer: z**(-533\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + d + 3. Let u be v(-6). Suppose 74*s - 71*s + 3*a = 108, 120 = 4*s - 4*a. What is the highest common divisor of u and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -129 - -181. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.215 * -0.5.\nAnswer: -0.1075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 5*p**2 - 5*p + 1. Let f be s(-4). Suppose 0*t - f*t + 17 = -4*n, 0 = -5*n + t + 5. Let i(b) = 6 - b - 7 + n*b. Give i(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 265489 and 3397037?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4 = -1. Let x be -2 + k - (-1 - 2). Let a(d) = 2*d + 4 - 3*d + x*d - 3. Determine a(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*w**5 - 83*w**3 - 221*w**2 - 492204*w wrt w?\nAnswer: -260*w**3 - 498*w - 442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -24*d + 260. Suppose -3*g + 86 = -2*i - g, -4*i + 3*g - 169 = 0. What are the prime factors of t(i)?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 527008919 to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 5 (c) -80\/9 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1788067830 + 192*q - 1788067830.\nAnswer: 192*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, x: 1, k: 1, g: 1, i: 1, n: 2}. What is prob of sequence xxnx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/3))**(-14)*((n*n*n*n\/(n\/(n*n**(-12)\/n)))\/n)\/(n\/n**(1\/6)) assuming n is positive.\nAnswer: n**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b*b**(5\/6)*b*b))\/b*b)**(-1\/16) assuming b is positive.\nAnswer: b**(29\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 2, 0.06, -1\/2, -1\/5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6945*x + 381921. What is i(-55)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*i + 7 + 20, -3*i + 2*w + 39 = 0. Let c = 27 + -19. Calculate the remainder when i is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, h: 5, w: 2, n: 4}. Give prob of sequence nr.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 10:24 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, e: 2, u: 7, d: 7}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2, 2, 10904, -18 in ascending order.\nAnswer: -18, -2, 2, 6, 10904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 59d + 2ed?\nAnswer: 88a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/121*(-88)\/32.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/35 and 24\/155.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -1299 in decreasing order.\nAnswer: -4, -5, -1299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -50*q**4 + 1052*q**3 - 5944*q**2 + 3280*q + 9600 = 0.\nAnswer: -24\/25, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -13\/7 (b) 0.3 (c) 0.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 91. Let i = o + -66. Solve -i*q = -q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a**2*l*m + 10*a**2*l - 27*a*l**3*m + a*l**3 + 2*a wrt m.\nAnswer: -2*a**2*l - 27*a*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24883 is divided by 956?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 9 + 36 = 0. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, e: 4}. What is prob of sequence eke?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0533 - 0.1233. Sort -4\/7, n, -2\/9 in decreasing order.\nAnswer: n, -2\/9, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -79102 * 15.\nAnswer: -1186530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from lcllckc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0622843 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5589, 5653, 5835, 6195, 6793, 7689?\n\"Answer: 10*z**3 - z**2 - 3*z + 5583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -119078 - 5918?\nAnswer: -124996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -67\nAnswer: -7\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 12:27 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 772640 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 857 = 4*c, -1080 = -3*c - 2*c + 3*a. Let b = -35 - -137. Let h = c - b. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**5\/60 + s**4\/3 + 7*s**3\/2 - 3270*s**2. Calculate g(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 202789 and 9834.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 69 = 3*q, -i - 2*q + 10 = -44. Let f(d) = -d - 1. Let a be f(-1). Suppose o - 4*o + i = a. Solve -3*c = -7*c + o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/9 + (-7)\/(-42)*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -44189, 0.06, 0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d + 12802a?\nAnswer: 128037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/13, 6, 0.1, 10874?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.24 - 0.54. What is the nearest to 0 in i, 2\/7, 4\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5544.2427 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 0*k**5 + 0*k**6 + 0*k**2 - 2*k + 0 + 1\/6*k**4 + 0*k**3 + 1\/42*k**7. Find the third derivative of d(l) wrt l.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.3 + 1.5. What is the biggest value in s, 0, 3, -1.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = z + 5*x, -x + 1 + 2 = -z. Let s be (-4)\/7*2\/z. Put s, -0.4, 5 in decreasing order.\nAnswer: 5, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 80 = 2*n. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -413.87 + 437.3. Let p = q + -23. Let m = -0.459 + p. Round m to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 0*w + 5*w - 3*w + w**2. What are the prime factors of p(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -9092, 0.24, -2\/3.\nAnswer: -9092, -21, -2\/3, 0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*q**2 + 168 - 357 - 22*q + 3*q**3 + 188 + 61*q as m + w*q + t*q**3 + y*q**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.17 - 2.43. Let i = 3 + a. Let g = -2 - -2. What is the biggest value in i, 4\/9, g?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323594 is divided by 478.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 71*x**2 + 561*x + 6. Let n be u(78). What is the highest common factor of 192 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/(-33)*30\/4*4\/(-10). Let m(q) = q**3 + q**2 - q + 1. Let j(r) = 4*r**3 - r**2 - r + 3. Give u*j(t) - 3*m(t).\nAnswer: t**3 - 4*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(10\/11)*z**(-17\/3) assuming z is positive.\nAnswer: z**(-157\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 (base 12) in base 16?\nAnswer: 5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 6 + -6 + 1 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.385 - -13.46. Which is the biggest value? (a) -2\/13 (b) n (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -m**4\/12 + m**3\/2 + 19*m**2. Let g be b(2). What is the third smallest value in 0, -0.4, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**2 + 0*d**2 + d**2 + 2*d**2 + 0*d**2 + d**2 + (-d - d + 0*d)*(-3*d - 2*d + 3*d).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.868 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in 26, 0.082, -11, -1\/6?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6217\/119 != 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 10. Suppose 0*t - 3*t = 5*i - 4, -3*t + 9 = b. Let a be -1 - i\/(1\/1). Solve 8 = 2*v - a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -285108*j + 285108*j - 1278*j**2 + (3*j + j - 3*j)*(-4*j - 3*j + 6*j) + j**2 + 2*j**2 - 5*j**2.\nAnswer: -1281*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8)*k*k*k)**(9\/4) assuming k is positive.\nAnswer: k**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -114. Let w be 2\/(-9) - 2880016\/z. Round w to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**3\/3 - 4. Let x(u) be the second derivative of -5*u**3\/6 - u. Give x(q(m)).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 24 = i - 70, 2*i = 3*x - 282. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.3 from 0.33.\nAnswer: -1.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 + 30*v + 75. Let t be a(17). Suppose -t*i + 251 = -1940. Is i a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5204917*x**2 - 363267*x wrt x?\nAnswer: 10409834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 8 - 3)*(-1 - 7 + 18)*(-47 + 47 - 9*f) + 3 - 3 - 2*f - 4*f + 2*f + 4*f.\nAnswer: 990*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-91744)\/(-168) - (-2)\/(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -137, -195, -247, -293?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 14\/33*g**3 - 1 - 14\/55*g**5 - 1\/22*g**4 + 0*g + 1\/11*g**6 - 2\/11*g**2. Suppose v(l) = 0. What is l?\nAnswer: -1, 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l + 33. Let c = 2583 - 2588. Let z(g) = -2*g + 49. Determine c*z(y) + 8*o(y).\nAnswer: 2*y + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**3 - 4961*h**2 - 4967*h**2 + 9865*h**2 - h**4 - 2*h to the form j*h**4 + s*h**3 + l*h + i + q*h**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 34 = -2*g, 0*g - 4*g - 10 = 3*r. Let l(p) = 3*p**2 + p + 5. Let h(f) = -4*f**2 - f - 6. Give r*l(a) - 5*h(a).\nAnswer: 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*r + 12. Let b be ((-16)\/(-10))\/(18\/(-45)). Let q be (b\/(-56) - 1\/(-2))\/(-2). Is r less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from meczcbccceccsbemmc. What is prob of sequence eb?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**3 - 191*d**2 + 99*d + 140. Calculate g(-96).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j*((j**8*j*j)\/j)\/j))\/j**(-2\/23))\/((j\/j**(-4))\/j**(-8)))**(-28) assuming j is positive.\nAnswer: j**(12824\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 919913539 to the power of 1\/2, to the nearest integer?\nAnswer: 30330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*f - 46, 5*f - 3*f + 3*r = 9. Let h = -21 + 29. Let l be 38\/h - (-3)\/f. Solve -q = -l*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6328, 12688, 19048, 25408?\nAnswer: 31768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i**2 + 4*i. Let u = 226 - 230. Let h(x) = 4*x**2 - 3*x. Calculate u*h(s) - 3*w(s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 2. Find the first derivative of 0 + f*s + s - 2 wrt s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + c + 21 = 0, -5*c + 45 = v + 4*v. Suppose 7 = -v*a - 11. Let d be (73995 - (a - 1)) + 2\/2. What is d rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 divided by 8012?\nAnswer: 55\/8012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*g + 4689*g - 655*g to p + f*g and give f.\nAnswer: 4063","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69167 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**2 - 3*x**2 + 5*x**2 + (-3*x - x**2 + 3*x)*(-1 + 3 - 4) + 27*x + 6*x - 13*x - 3*x**2.\nAnswer: -4*x**2 + 20*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(8\/12 - 1). Let o(z) = -1. Let p(h) = -h**2 - 4. Let u(k) = l*p(k) - 4*o(k). Let n(b) be the first derivative of 2*b**3\/3 + 417. Calculate u(n(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/2 + 149928*l + 3897621\/2.\nAnswer: 3*(l + 13)*(l + 99939)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -8.4 > 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -31, -3, -6, -4, 13 in ascending order.\nAnswer: -31, -6, -4, -3, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 297*b**2 + 22*b - 84. Suppose 0 = -4*f + 5*h, -h + 25 = f + 4*h. Is v(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 3*w - 3. Suppose 0 = 4*l + 8, -4*b + 4*l + 40 = 8. Let z be w\/15 + b\/(-5). Are z and -1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 1. Let y(i) = -5*i + 6. Let l(m) = -4*s(m) + y(m). Let g be l(2). Differentiate -4*q**2 + 3*q**2 + 1 + g with respect to q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-100)\/8)\/((-1)\/2). Suppose c = -5*x + 2*n, -4*n + 3 = 5*x - 2. Which is smaller: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1213 divided by -11\nAnswer: 1213\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(-9\/2)))\/p**(-3\/14) assuming p is positive.\nAnswer: p**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 2*u - 77 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d, 3*g - 5*d - 2511 = 1795 - 307. What is the highest common divisor of 129 and g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 8*t - 3*t = 0. Let z be 6\/1*(-2)\/3. Let c = 6 + z. Solve -5*v + c*v = t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from {l: 7, t: 1, x: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*k - 2*o, -3*o + 6*o = 9. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -9*a**2 - 1776*a - 16853. What is w(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -3 - 12 - 4. Let s = -17 - f. Suppose x + s = 28. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 149*q**2 + q + 1. Let c be h(-1). Let o = c - -203. Is (-1)\/(o\/118 - 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32768916 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 275562709.74 and -7.\nAnswer: 275562702.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 3 + -25 + 16 + -3 + 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(405)*2*-5)**2 + 1.\nAnswer: 1458001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-40)*135\/1863\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 1\/4, 29, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*q + 4593 - 1093 = 0 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 907 - 127925\nAnswer: -127018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 85163?\nAnswer: 681304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*r**3 + 46*r**3 + 18*r**3 - 18*r**3.\nAnswer: 80*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 25*r - 142. Determine j(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -870 - -1675\/2. Let p = 41981\/6 - 7013. Calculate the common denominator of p and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 + 5*z**2 - 4*z**2 + 19*z.\nAnswer: -2*z**2 + 19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/5 (b) -1 (c) -23 (d) 29 (e) 0.6 (f) 3 (g) 5\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 194424*u**6 + 4*u**4 - 290*u**2 + 9629.\nAnswer: 23330880*u**3 + 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxbb. Give prob of sequence bxb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26578\/3 or -0.098?\nAnswer: 26578\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/9 of a week in minutes?\nAnswer: 31360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 1274\/140)*226 - (-8)\/5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 0 + 49*o + 0*o**2 + 29\/42*o**3 + 1\/84*o**4. Suppose n(d) = 0. What is d?\nAnswer: -29, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103333022033 (base 4) in base 16?\nAnswer: 4ff28f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 211 + -211. Suppose m = 15*l - 48 - 87. Let s be ((-27)\/2)\/((-3)\/6). What is the greatest common factor of l and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/26)\/(5\/30).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4069292, 8138422, 12207550, 16276676, 20345800, 24414922, 28484042?\n\"Answer: -x**2 + 4069133*x + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14677066, 58708288, 132093658, 234833176, 366926842, 528374656, 719176618?\n\"Answer: 14677074*w**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.209 greater than 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17971, -35948, -53925, -71902, -89879, -107856?\n\"Answer: -17977*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - 6 - (-30)\/(-1). Let a = -21 - d. What is the remainder when a is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61041930 or -61041926?\nAnswer: -61041926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21211 + 11?\nAnswer: 21222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, v: 2, p: 4, i: 2, f: 1}. What is prob of picking 1 p and 1 v?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70375, 141853, 213333, 284815, 356299, 427785?\nAnswer: 499273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + 4*r - 4*r)*(10*r**2 + 8539*r - 8539*r + 6).\nAnswer: 20*r**4 + 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*p - 73*p + 10*p**2 + (2*p + 0*p + 0*p)*(13*p - 17*p + 6*p) + 2*p**2 + 3*p**2 - 7*p**2 - 3*p**2 - 3*p**2 + 7*p**2 as h + g*p**2 + y*p and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4324 - 1631. What are the prime factors of c?\nAnswer: 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 679. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (sqrt(104) + 2*sqrt(104))*5 - sqrt(104))\/sqrt(8))**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 14*b**2 - 14*b + 5. Let l be k(15). Let u be -19 + l + (0 - -8). Let f be (-70)\/(-49) - (-3)\/21*4. Which is bigger: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4306772715?\nAnswer: 3, 5, 7, 43, 953881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = k, -k - 2*k = -4*x. Let l(j) = 8 - j - 4 + k*j - 2. Let b = 6 + -2. What is l(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/32 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*f*g**3 + 2*f - 84*g**2 - 4*g - 3468 wrt g.\nAnswer: -15*f*g**2 - 168*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 68, 139, 238, 365, 520?\nAnswer: 703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/((-540)\/(-48)))\/(2\/6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55923\/5 - 11185. Which is the biggest value? (a) v (b) 0.11 (c) 16 (d) -1\/6 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 498*x**2 - 477*x + 10985. Calculate m(-499).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**5\/120 - 5*x**4\/48 - x**3\/2 - 6*x**2. Factor l(y).\nAnswer: -(y + 2)*(y + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 - 5.02. Let y = -3335\/6 + 555. What is the closest to 0 in y, 4, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from {n: 1, x: 1, o: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/98)\/(-5)*(-3)\/(-5)*80\/(-72)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 15*j**2 - 11*j - 15. Let d be w(17). Let p = 1415 + d. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 22, 8, 0.3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 2. Let y be m(-3). Let w be 12\/10*y\/(-2). Suppose 9*b - 4*b**2 + b**3 + 3*b**2 - w*b**2 - 2*b**2 = 0. Calculate b.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17348 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 99990 - 300812. Suppose 3*h - d - 276178 = 0. What is h rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 2:17 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1836 and 1314?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 3629?\nAnswer: -1088.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.5 - -0.5. Let t = 2 + -2.1. Let x = t + 0.1. Which is the nearest to x? (a) q (b) 0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 450819103?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/9, -4, -0.0888, -3\/2, -2\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8140408 is divided by 1947.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576 = -20*p - 536 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0994844g in tonnes?\nAnswer: 0.0000000994844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 104301090 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 7 = -103. Let x = y - 14. What is the lowest common multiple of -1 + 6 + 1 + -4 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0326 take away -15008.4251?\nAnswer: 15008.3925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 12*f**2 - 209*f + 877. Give z(9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 673, 1329, 1985, 2641, 3297, 3953?\n\"Answer: 656*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/9 and 25\/1431.\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -0*a - a - 5*z, -5*a - 4*z - 20 = 0. Let b be 4\/(-6)*(-1 + -5). Suppose 2*s + b = a, s - 278 = 4*h - 9*h. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 times 5\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1146.2 - -1144. What is the second smallest value in -2, 3\/7, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssejjsssssssj. Give prob of sequence sj.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23623 - -11?\nAnswer: -23612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 163194719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -9*v**2 + 815*v - 456. Give o(90).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 435023789?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/370888 and 47\/44?\nAnswer: 4079768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 862099, 862098, 862097, 862096, 862095, 862094?\n\"Answer: -x + 862100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*f**2 - 32*f**4 + 26*f - 26*f + 13*f**4 wrt f?\nAnswer: -456*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000502302 to six dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1ba - -19?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**4\/4 - 5*s**3 - 33*s**2\/2 - 40*s. Factor h(z).\nAnswer: 3*(z - 11)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 80 + 15*w**2 + 6*w**2 - w - 4*w + 5*w. What is the units digit of z(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 31265?\nAnswer: -31302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*o + 18*o + 288 = -35*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzi when three letters picked without replacement from izzijjzwwjjijjwitwm?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1699559327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 101054747 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37571, -37572, -37573, -37574, -37575?\nAnswer: -37576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/15)\/((-20)\/2100*-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41600 and 40800?\nAnswer: 2121600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 4) + (-12)\/48*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/3*3*1*2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68759839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 71085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -223, -9, -2 in decreasing order.\nAnswer: -2, -9, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -5*v**5 + 100*v**4 + 172515*v**3 - 670*v**2 - 1207960*v - 1034880 = 0.\nAnswer: -176, -2, -1, 3, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3 + 4*y**2 - 3. Let c(t) be the first derivative of 0*t + 1 - 1\/2*t**2. Give z(c(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, -4, 2 in increasing order.\nAnswer: -6, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 20 = -3*q. Calculate the common denominator of 1*-1*(-98)\/q and 18\/(-44) + 4*(-3)\/(-12).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43.26 + 47.26. Sort h, -1, 317, -0.1, 5 in descending order.\nAnswer: 317, 5, h, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74 and 4006.\nAnswer: 148222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 7. Let v = -4 + i. Suppose o - 144 = -v*o. Solve 0 = 4*h + b + 13, 3*h + o = 4*b + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + 24. Let m = k + 29. List the prime factors of m.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 319*k**2 - 992*k + 1. Calculate o(3).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.9 + 5. Let q = l - -3.9. Let f = 1.7 + 0.3. Which is the closest to q? (a) 2\/11 (b) 1\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 10 - 22. Let f(r) = -2 + 2*r**2 - 2*r - 2*r**3 + 7*r + r**3 + r**2. Let z be f(q). Solve -z = -5*y + 7 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18e05 - af?\nAnswer: 18d56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**12*q)\/q*q**(-2\/71)*q*q)\/(q**25\/q*q**(4\/5)*q*q))**(-2\/19) assuming q is positive.\nAnswer: q**(9108\/6745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-1 - -2)*2. Let t(r) be the second derivative of r**4\/6 - r**3\/3 - r**2 + 2*r. List the prime factors of t(c).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34345 - 20042?\nAnswer: -54431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 311?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*c, -19*c = -18*c - 3*h. Solve n + 4*d - 13 = 6*n, c = -2*n + d - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -7*f**2 - 2*f + 2. Let h(d) = 27*d**2 + 8*d - 9. Let g(q) = -2*h(q) - 9*i(q). Find the second derivative of g(o) wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 275*o**2. Let r(g) be the second derivative of -2*g**3\/3 + 35*g - 58. Give r(n(s)).\nAnswer: -1100*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 75 and 29638475?\nAnswer: 88915425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -665\/4 + 167. Let j = -2.98 - 0.02. Let q = -1\/3 - 1\/15. Which is the nearest to -1? (a) u (b) q (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 5:22 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045657159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/12*(-12)\/495?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -322 - -359. What is the remainder when 100 is divided by h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, n: 1, w: 2, q: 1}. Give prob of sequence wyyy.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o - 4*o + o)*(0*o + o + 2*o)*(-499 + 1240 - 642) in the form h + t*o**2 + m*o and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 404724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - 20?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*n - 752 = 543 + 95 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 6:43 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g = -23*g - 15. Suppose 3*d - 6 = -3*q, 0*d = -2*q - d + g. Let a = 69 + -49. Solve -2*t = -4*h + a, -q*h + 5 = 3*t - 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 228 + -91. Let m = -194 - -63. Let y = m + x. Which is smaller: y or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (10 - 12)*-4*1\/(-28). What is the closest to -4 in h, -0.15, 0.4, 4?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - w = -9, -5 = -5*u + 3*w + 10. Suppose -y**2 - 16 + 8 + 4*y**u + 20*y - 15*y**2 = 0. What is y?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-3)\/(-7)) - (-18)\/54.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 g when three letters picked without replacement from gvvvvvvvvvvvvvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19406274 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 5\/(-1) + 7. Solve -2*o - v - 5 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vivvivinivvyvvy. Give prob of sequence yini.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1474 is divided by 103?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2300\/175)\/46)\/((-2)\/161)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/3 - 59272*n**2 - 1311610880*n + 778073235968\/3.\nAnswer: -2*(n - 196)*(n + 44552)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1031 - -3032\/3. Find the common denominator of s and 23\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 t, and 1 o when four letters picked without replacement from htgothhitihihtthti.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.241 - -0.041. Let o = -27 - -80\/3. Which is the nearest to o? (a) 0.1 (b) 0.4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 6:24 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1204776 and 20?\nAnswer: 6023880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2009*q - 246. Let s(t) = 41*t + 5. Calculate -5*d(h) - 246*s(h).\nAnswer: -41*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p**2 + 13*p + 4. Let s(z) = 6*z**2 - 14*z - 3. Let l(k) = -5*b(k) - 4*s(k). List the prime factors of l(4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 3*k + 2*o - 12 = 0, 4*o = 3*k + 6. What is the second derivative of 3*l**k + l + 2*l + l**2 + 3*l wrt l?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = -12*i + 21. Let w(x) = 7*x - 1. Give w(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/7376 and 149\/4608?\nAnswer: 2124288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(2299) + 3 + 5 + (-1*sqrt(2299) - sqrt(2299)) + sqrt(2299) + (-1 + sqrt(2299))*2 + -2))**2*6 + -4.\nAnswer: 16896*sqrt(19) + 884348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 0 + 0 + sqrt(17) + -2 + sqrt(17) + -1 - (sqrt(187) - 2*sqrt(187)*2 - sqrt(187))\/sqrt(176).\nAnswer: -3 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6)*p)\/(p\/(p*p**1)*p)*(p\/(p*p*p\/(p*p**(1\/4))))\/p**1 assuming p is positive.\nAnswer: p**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-141))\/(7\/672*-16).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**3\/5 + 9*m**2\/5 - 24*m\/5 + 4 = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114993, -229891, -344689, -459387, -573985, -688483?\nAnswer: -802881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1987471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 45317605.76 + -40072?\nAnswer: 45277533.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1906\/9 - 212. Sort -3, -4, s, -1\/4 in descending order.\nAnswer: s, -1\/4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/4*c + 21\/4*c**2 + 17\/4*c**3 + 5\/4*c**4 + 1\/2.\nAnswer: (c + 1)**3*(5*c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -309*v + 3599. Is 34 a factor of l(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-9\/5)\/a)\/a)**(2\/161)\/(a\/((a**(-3\/4)\/a*a)\/a))**26 assuming a is positive.\nAnswer: a**(-16453\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2049 + 23*o + 18*o + 2*o**2 - 2051)*((2 + 3 - 3)*(-2*o + 2*o + o**2) + 5 + 4*o**2 - 5) as f + y*o**4 + v*o**2 + q*o**3 + u*o and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 24*r**5 + 1371*r**4 - 2637*r**3 + 1065*r**2 + 177*r = 0?\nAnswer: -59, -1\/8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 811 by -665.\nAnswer: -811\/665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2013 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 34 (c) 0.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(96)\/sqrt(128)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*t - 10, -2*p - 35 = -10*t + 5*t. Let n = -8 + t. Put 1, -5, n in decreasing order.\nAnswer: 1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -54 and 0.6?\nAnswer: -32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1500\/(-3800)*95*8\/(-4).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2118217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**4\/9 + 62*v**3\/9 + 298*v**2\/9 - 1910*v\/9 - 2300\/3 = 0.\nAnswer: -23, -10, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5337497 is divided by 1033.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*u = 158*u - 939 + 3699 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -17, 5, -4 in decreasing order.\nAnswer: 5, 1, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in 1, 3\/46, -0.1, -0.16, -0.4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -72*o + 432. Let y(l) = -l + 4. What is -2*q(u) + 216*y(u)?\nAnswer: -72*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7474*d**2 - 8*d**3 - 7474*d**2.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - 5*y + y)*(-6 - 1 + 1) to z*y + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449488?\nAnswer: 2, 13, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9817207, 9817208, 9817209, 9817210, 9817211, 9817212?\n\"Answer: w + 9817206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000549125 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*m = 2*h, -2*m = -3*h + 2. Suppose -12 + 1 = -4*k + 3*q, 3*k = 2*q + 8. Solve 0*f - f - m*v - 7 = 0, k*v - 11 = 5*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86015, 85937, 85847, 85745?\nAnswer: 85631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -208*d*x**2*z**2 - 3*d*z - 96*x*z**2 wrt x?\nAnswer: -416*d*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -240527233 times 0.4\nAnswer: -96210893.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + -5.5. Let y = l - -6. Let w = -122.6 - -123. Which is the second smallest value? (a) y (b) 4\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 393990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14)\/7)\/((-2)\/(-4)). Let p be 3 + a - (-1 + -2). Suppose -4*x + 0*x + k - 33 = 0, -x - p*k - 6 = 0. Which is smaller: x or -7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((q*q*q*q**(3\/5))\/q)\/q)**(2\/41))**6)**(11\/2))**(-23) assuming q is positive.\nAnswer: q**(-12144\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -97607 or -97431?\nAnswer: -97431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 121 - 165. Suppose l = 8*i - 57. Suppose -3*a + 20 = -i. What is the lowest common multiple of a and 27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 19*t**4 - 5*t**3 + 5*t - 15. Let q(l) = -58*l**4 + 14*l**3 - 14*l + 44. Let c(o) = 5*q(o) + 14*x(o). Find the first derivative of c(j) wrt j.\nAnswer: -96*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/36)\/(1\/(-9)). Let s be 0 - (0 + -3 + 6). Sort s, -2, m.\nAnswer: s, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 + 3 = 0. Suppose -13*n + 3*n + 40 = 0. Suppose -13 - 5 = -5*v - 2*u, 5*u = n*v + 12. Solve 0 = v*i + 2*d, -5*d - 4 = -y*i + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-7) + 6\/(-14). Suppose n - 11 - 6 = v. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 156386572 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 13, s: 6}. Give prob of sequence sbb.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**2 - 5. Let y(a) be the third derivative of -a**5\/30 - a**3\/2 + 53*a**2. Give 6*h(l) - 10*y(l).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 68?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**2 + 37*y**2 - 114070*y**3 + 4*y**2 - 49*y**2.\nAnswer: -114070*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -208.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10797 is divided by 568.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16973665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*s**4 - s**3 - 22*s**4 - 11*s**4 + 76 to n*s**3 + h*s + c + y*s**2 + b*s**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/20 + 187\/136\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b + b**2 - 7*b**2 + 0*b as i*b**2 + d + r*b and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 - -50.066. Let d = -0.036 + c. Let z = 3 + -3.2. What is the closest to d in z, -3, 4\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(270)\/sqrt(40) + sqrt(27))**2 + -1 + sqrt(192) + (sqrt(192) - (-2 + (sqrt(192) - (sqrt(192) + -1)))) + (sqrt(192) - (2 + sqrt(192)))**2*2.\nAnswer: 16*sqrt(3) + 275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -64, -95, -114, -115, -92, -39?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 242*g + 47*g + 46*g + 126*g + 92*g in the form u + m*g and give m.\nAnswer: 553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 101011011 (base 2) to base 9\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 10:33 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 26*b**2 + 4870*b + 105193. Give g(-22).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j + 5*t - 5 = 5*j, 5*j + 3*t - 7 = 0. Suppose 8 = j*s + 2*s. What is the second derivative of -8 - 38*x**s + 8 - 8*x**2 - 14*x wrt x?\nAnswer: -92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3177446069826+1\nAnswer: -3177446069825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257 = -5*h + 613. Let m = -181923 + 181929. Calculate the greatest common divisor of h and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3449403867 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1940*p + 7. Is j(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/3)\/l)**(-25\/7)*l**(1\/5)*l*l*l**(-1\/4)\/l assuming l is positive.\nAnswer: l**(-601\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 61087323 and 101124?\nAnswer: 8427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 862859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + (-24)\/(-10))\/(70\/(-50)). Which is the nearest to 2\/7? (a) i (b) 0 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4172 at most -4171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 53*p**4 + 36*p**3 - 36*p**3 + (-p**3 - 3*p**3 + 3*p**3)*(-3*p + 0*p + 0*p).\nAnswer: 56*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.077 * 16443\nAnswer: -1266.111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-13 + 24 + -9)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 16*l**2 - 52*l - 876. Determine h(-16).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11137 divided by -259?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1477019?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -508\/7 - -73. Let o = 11 - 8. Let z = 4.3692 + -2.3692. Which is the closest to -1? (a) z (b) o (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, q: 3, n: 6, a: 2}. Give prob of picking 1 v, 1 n, and 2 q.\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/303702 and 9\/5165.\nAnswer: 1518510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j. Let r(d) = 46*d**2 + 13*d - 9. Let t(u) = -4*l(u) + r(u). List the prime factors of t(2).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -120 in 1\/4, 0.6, 2\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33182*o + 33169*o + 58 - 234 - 66361*o.\nAnswer: -10*o - 176","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/4 + 2 - 22\/28. What is the nearest to 1 in -0.5, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4564.392032 to zero decimal places.\nAnswer: 4564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17191.\nAnswer: 17191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 29 and 0.12306.\nAnswer: 29.12306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241225073?\nAnswer: 103, 2341991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/6)\/((-3)\/(-9)). Let z be 30\/35*-7*y. Is (-2 - 0) + z + 85 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ryppryyrdyryppddpyd. Give prob of picking 2 y and 1 p.\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20983319977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2640 + 2835*x**4 + 72052*x**2 - 72052*x**2 - 187*x**4 wrt x.\nAnswer: 10592*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 6*m + 2. Let o(a) = -15*a**2 - 35*a - 78. What is -6*j(w) - o(w)?\nAnswer: 9*w**2 - w + 66","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 12:06 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 + 281 = -2*y. Let r = 393 + y. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 317?\nAnswer: 317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 3*y - 3, -2*p - 3*y = -3. Let c(d) = -19 + d**p - 4*d**2 - 9*d**2 + 13*d + 5 + 2*d**2. What is the tens digit of c(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 1)*(-1 - 1 + 1)*(0*y + y + 4*y)*(-4 + 5 - 2) to q + a*y and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 13*x**2 - x - 484. Determine d(-15).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24526906 to the nearest integer?\nAnswer: 4952","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 3*d**2 + 6*d + 2. Let i be v(5). Let k = 15 - i. Suppose -k = 3*o - 6*o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 78*m - 4. Let s(l) = -1543*l**2 - 1538*l**2 + 4618*l**2 - 1540*l**2. Determine s(h(d)).\nAnswer: -18252*d**2 + 1872*d - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*(-11)\/((-462)\/(-28)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9094032 and 66096.\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4061352 (base 7) in base 8?\nAnswer: 1664231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -12*m + 8*m - 4 + 1 + 3*m. Give f(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 49.40501t?\nAnswer: 49405.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 1110 = -7*n. Suppose l = 7*l - n. Suppose 0 = -4*b + 27 + l. Is 17 at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 98921 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 + 56.0000148. What is m rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-31)\/3)\/((-2)\/6). Suppose 2*d = -j + 129. What is the remainder when d is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-24))\/(2\/4). Let c = -1.0619 - -0.6619. Sort c, 4, n in increasing order.\nAnswer: c, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118563407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252711 is divided by 50539.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 347\/432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/10776984?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**2 + 0*u**2 + 3*u**2. Let p = -8 + 5. Let s(n) = -n**2. Determine p*s(t) - j(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -456 times -4\nAnswer: 1824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a day in hours?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or -185240?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5560 (base 7) in base 11?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107870 = -10*u + 30*u - 413490. What are the prime factors of u?\nAnswer: 7, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.063 - -0.163. What is the closest to b in 4\/9, 0.2, -5\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 803173500 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0952097 litres?\nAnswer: 95.2097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/946125 and 64\/35525.\nAnswer: 46360125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from {g: 1, b: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*-5*1 + sqrt(156) + (-1*(sqrt(156)*-5 + sqrt(156)) - sqrt(156)))\/((sqrt(12) - (4*sqrt(1452) - sqrt(1452))) + sqrt(1728) + -6*sqrt(1728)).\nAnswer: sqrt(13)\/92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-76)\/(-57) - 25\/21. Let k be 0 - (0 + (-4 - 14\/(-4))). What is the second smallest value in h, -2\/3, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 18*w**2 - 16*w + 17. Is z(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-1)*2\/(-4). Let r be -1 - (p - 0\/(-1)). Let g = 0.06 - -2.94. What is the closest to -1 in r, -3, g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2. Let u(l) = -37190*l. Give u(h(x)).\nAnswer: -37190*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.001 + 0.178\nAnswer: 0.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140895 and 63891.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(30)*-2 - sqrt(30))\/(sqrt(864)*-2).\nAnswer: 5*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -276*s**3 - 519*s**2 - 43 - 5 + 131*s**4 - 158*s**4 - 318*s = 0. Calculate s.\nAnswer: -8, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -3) + 0\/1. What is the derivative of -c + w + 1 - 5 + 2 wrt c?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 21 - 6)*((2 - o - 2)*(0 - 4 + 5) - 8*o + 0*o - 3*o).\nAnswer: 264*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6ef4ed (base 16) in base 9?\nAnswer: -14612753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 7:56 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w. Let p(f) be the third derivative of 0 + 0*f**3 + 0*f + 0*f**4 - 5*f**2 - 7\/60*f**5. Determine p(n(m)).\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1. Let x = -27.1 - -27. Which is the biggest value? (a) 0.2 (b) x (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0 (b) 1\/2 (c) -96 (d) 0.0489\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -150205*c - 830. Let d be o(34). Round d to the nearest 10000.\nAnswer: -5110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -3. Suppose -110*q + 105*q - 2*c = -7, -2*c - 17 = -3*q. Solve 0 = y*p + q - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -134 - -408. Suppose j*i = 271*i + 3. Let o = i + 22. Calculate the greatest common divisor of 161 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-65)\/(-25) + 68\/20 + -3)*1. Solve -60*x = j - 62*x - 9, -j = -i*x - 10 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 585352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25746552?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h + 9. Let r(f) = 1. Give d(a) - 2*r(a).\nAnswer: 2*a + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1149.994 kilometers?\nAnswer: 1149994000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1103011498, -2206022995, -3309034492, -4412045989, -5515057486, -6618068983?\n\"Answer: -1103011497*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18 - 14)*1\/2. Let q be i*(2 - 7)\/(-5). Let g(t) = 21*t + 7. Let d(b) = -7*b - 2. What is q*g(c) + 7*d(c)?\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -1319*r**6\/10 + 17*r**4\/24 - 131*r**3\/3 + 9054*r**2. What is the second derivative of c(g) wrt g?\nAnswer: -94968*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*d - 4 = 28*d. Calculate the lowest common multiple of d and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.1 + -9.4. Sort 3, z, 0.5.\nAnswer: 0.5, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2949?\nAnswer: 3, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -53, -57, -63, -71?\n\"Answer: -d**2 - d - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 15*j - 334. Give d(-26).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**4\/7 + 5*u**3 - 25*u**2\/7 - 20*u + 36\/7 = 0. What is u?\nAnswer: -9, -2, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 11:10 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 u when three letters picked without replacement from tuujuluullulu?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -811*f + 2494*f - 195*f as p + k*f and give k.\nAnswer: 1488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.2 + 4. Let u = 17.318 + -17.5. Let z = u - o. What is z rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (7 - (-8 + 9))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*k + 42. What is the lowest common multiple of k and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 + 607 = 6*u. Suppose 494 = 157*p - 119*p. What is the highest common divisor of u and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.716 from -4.\nAnswer: -6.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 18*z**2 - 2*z + 1. Let o = 45 - 40. What is the remainder when m(1) is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54245 + -0.1?\nAnswer: -54245.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3230972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291069?\nAnswer: 3, 32341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 199234 and 5782?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 337 + -336.9. What is the second smallest value in n, -5, 38, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 494383 - 113827 = -1245*f - 9326*f for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*p - 1, 5*p = -5*j + 75. Let a = -75.65 - -75.75. What is the nearest to a in j, -1\/5, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 10:31 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2\/23, -1\/8, 35, -1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4 = 4*r, 6*r - 4*u - 4 = 4*r. Solve 5*f - 20 = r, -2*n - 3*f - 3 = -17 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4\/3 - 28*w**3 + 432*w**2 - 8704*w\/3 + 7168 = 0. Calculate w.\nAnswer: 8, 12, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g + 7*g + 24 = -3*l, 4*l + 2 = -2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0747491557 - 83.0747553557. Let f = -83 - v. Round f to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -61, -683, -1305, -1927, -2549, -3171?\n\"Answer: -622*z + 561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k = 4*i + 4*k + 20, 5*i = k - 13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.062 + -7.438. Let y = j - -7.1. What is the closest to 1 in -1\/2, 1\/2, y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31)\/((-403)\/(-39)))\/(10\/2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*l - 5 = -1, 3*k - 2*l = -8. Let i = 8 + k. Suppose 4*c - i*z - 30 = -2*z, -3*z = 9. Calculate the greatest common divisor of c and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k**5\/5 - 48*k**4\/5 + 97*k**3\/5 - 94*k**2\/5 + 44*k\/5 - 8\/5 = 0. Calculate k.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w. Suppose 6*u = 8*u + 2. Let p be u - 0\/2 - -15. Let s(t) = -p - t**2 + 14. Calculate s(r(m)).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 - 4*b**2 - 5*b**2 - 7*b + b**3 + 0*b**2 - 3. Let o be t(8). Let d(j) be the second derivative of -j**3\/6 + 7*j**2\/2 - 3*j. Determine d(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 12, -0.1, 318091, 3.\nAnswer: -0.1, 2, 3, 12, 318091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6171)*2 - -1*(sqrt(51) + sqrt(459)))\/(sqrt(243)*6*1).\nAnswer: 13*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1207981 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*q + 2*k = 11, -5*k = -25. Let a(g) = -g**2 + 9*g**2 + g - g. Determine a(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 268 + -41. Suppose 4*q + 3*b = r + 364, -2*b = 4*q - 586. Suppose 0 = -5*w + 20, -2*t + 26 = 2*w - 40. Calculate the remainder when q is divided by t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-163)\/(-3) + -68 + (-9116)\/(-129)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2166 + -12662?\nAnswer: -15161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 186.\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6518132kg in grams?\nAnswer: 651.8132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 2562 + 2262. Suppose 2*b + 10 = j, 5*j - 69 = 2*b - 19. What is the greatest common factor of i and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 9:15 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 239346 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 2*u - 3. Let b be w(-3). What is the remainder when (-14 + b)*(-1 + 2) - -14 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 8 = 7. Let w = 3 + p. Solve -n - 15 = w*d - 4*n, -d + 2*n = 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 22 = 4*n. Calculate the smallest common multiple of n and 521.\nAnswer: 4689","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 577, 870, 1375, 2104, 3069, 4282?\nAnswer: 5755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 200*k**3\/3 + 28277594*k**2\/3 + 999527478872*k\/3 - 9995283272 = 0.\nAnswer: -70694, 3\/100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*x\/x**(-2\/5))\/x*x))\/x**5)\/(x**(1\/6)\/x**(-1\/15)) assuming x is positive.\nAnswer: x**(-199\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-136)\/(-102))\/(20\/6)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2598073341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 22.9.\nAnswer: -114.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -7, -6, -3, 2, 9, 18?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**2 - q**3 + 3*q**2 + (q - q + 2*q**2)*(-472*q + 476*q + 885*q) as b*q**2 + h + c*q**3 + a*q and give c.\nAnswer: 1777","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595923 is divided by 294.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/87 and -82\/2673.\nAnswer: 77517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-4))\/((-9)\/108). Suppose -5*d = -5*t + 110, 3*d - 4 = -t + j. Let p be (-2740)\/(-16) + 4\/(-16). Calculate the highest common divisor of t and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**3 - 12411525*x**2 - 252*x**4 + x + 12411525*x**2 in the form w*x + r + v*x**4 + f*x**3 + a*x**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*w - 754 = -127*w. Let i(o) = -o - 18. Determine i(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1\/5))**(1\/20)*k**(-4\/3)\/(k\/(k\/(k\/(k*k\/k**8*k*k)))))**36)**(-44) assuming k is positive.\nAnswer: k**(251196\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2 + ((0 + sqrt(396))**2 - sqrt(396))*-5*5)*6.\nAnswer: -59391 + 900*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 7 (b) -10 (c) 0.058\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -7. Let f = i - -3. Solve 2 = f*u - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4269 + 9519. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(-4)\/(-32)*0. Suppose -m + 1 = -0*m. Let b = m + 0. Is b greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**1*a\/(a*a*(a*a**(-2\/41))\/a)*(a*a**9*a)**(1\/4) assuming a is positive.\nAnswer: a**(459\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/2)\/(2 + (-11 - -5))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 13) to base 14\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 11*m**7\/42 + 3*m**5\/4 - 89*m**4\/6 - m**3\/6 + m - 145. Find the third derivative of v(k) wrt k.\nAnswer: 660*k**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4859279 is divided by 5334.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2910 - 2204894891\nAnswer: -2204891981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*r**5 - 37193*r**4 + 16323*r**3 + 111547*r**2 - 123211*r + 32550 = 0. What is r?\nAnswer: -2325, -2, 7\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 24, 47, 94, 177, 308, 499, 762?\n\"Answer: 2*y**3 + 9*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 - -35.8. What is the third smallest value in -5, -7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 15 = -2*a + 7*a, 4*w = 5*a - 15. Suppose -4*t = 2*k + 12, -3*k - t = -a*t - 6. Suppose -2*p - 28 + 76 = k. Solve p - 4 = 4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7240\/(-46155)*(-2)\/(-8)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2212c (base 16) to base 7\nAnswer: 1120615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2924304 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 286336 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -21. Suppose w = 3*w - i. Suppose 4 = 3*z + c - 3, 2*z - w*c = -1. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(-10)\/(-240)*12. Let u(f) be the first derivative of 25 + 0*f**2 + 1\/12*f**6 - 1\/5*f**5 + 0*f**3 + c*f + 1\/8*f**4. Suppose u(k) = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91676612 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 26*f - 37. Let x(d) = -d**2 + 25*d + 36. Let o(v) = -4*g(v) - 5*x(v). Calculate the lowest common multiple of 12 and o(23).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 279746, 563128, 846510, 1129892?\n\"Answer: 283382*a - 3636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86319 - -86226.777. Round s to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-1 + 3) - (-3 + 2 + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7205741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 18 - 66 = 0. Let k be (-69)\/u - -5 - (-15197)\/(-4). Round k to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.02, -1583610, -2, -5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 346169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -20631*b + 85*b**2 + 20631*b + 2 as r*b + d*b**2 + x and give d.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 1423 = -5*i, b - 1160 = 4*i - 23. Let g = i + -264. Which is smaller: g or -547?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 4*o**2 + 4*o + 2. Let j be f(4). Let t = j - 11. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/8 (b) -0.06 (c) 5\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 52 = -2*z, 0 = r - 79*z + 81*z + 4 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3007880 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -25*x**2 + 491720*x - 2417885584 = 0.\nAnswer: 49172\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/24 and 71\/2805.\nAnswer: 22440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 5:04 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 + 6 - 7) + 871 is divided by 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43242*f**2*z**3 - 7788*f*z**3 - 4*f*z**2 - z**2 wrt f?\nAnswer: -86484*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, k: 2, m: 2, d: 8}. Give prob of sequence dk.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 67*c - 429. Let x be h(-8). Which is greater: x or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 85 = 5*z. What is the remainder when 21 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9.5, -0.5, -182829, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d + 2*y + 7, d + 4*y + 8515 = 8526 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87557.82 seconds to microseconds.\nAnswer: 87557820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**4\/4 - 971*t**3\/2 - 954385*t**2\/4 - 2793675*t = 0. Calculate t.\nAnswer: -965, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 573*v**3 - 1054*v**2 + 230*v + 8523.\nAnswer: 3438*v - 2108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2489190 and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43958?\nAnswer: 2, 31, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -731 - -701. Is -2\/33 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -13 (c) -2.847\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(30\/4))\/(216\/(-405)*535\/856).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8*i**2 - 7*i + 1. Let v(t) be the third derivative of -23*t**5\/60 + 5*t**4\/6 - t**3\/2 - t**2. Give 17*r(n) + 6*v(n).\nAnswer: -2*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138423?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277 + 277 - x + 3*x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47339 is divided by 1544.\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 113 - 62. What are the prime factors of n?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -113.2 - -113.211625. What is z rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 1585*p - 3159*p = -1583*p - 12, -14 = 5*f + 2*p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s - 17. Let r be p(6). Let x = -8 - -11. Suppose -2*a = -x*i - 12, 3*a = -4*i + a - 2. Sort r, -3, i in descending order.\nAnswer: i, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 570906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-136)\/(-85) - (-2)\/5. Suppose -y = -14 - k. Let w(c) = c**2 + 43*c - 928. What is the lowest common multiple of y and w(16)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 7:30 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 q when three letters picked without replacement from {q: 2, e: 4, h: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 937305581 to the nearest integer?\nAnswer: 30615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 149865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/106404 and 97\/6.\nAnswer: 106404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -14*z + 125. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -13. Suppose -4 = -0*h - l*h. Which is the third biggest value? (a) 4 (b) h (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + h - 80. What is the remainder when h is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/979 in -4, 5, 3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 16*a = 1. Let d(i) = -i**2 + 20*i - 37. Let o(f) = 1. Let u(c) = a*d(c) - 6*o(c). Let g be u(14). Is 42 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/1883 and -137\/225960.\nAnswer: 225960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 8:03 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*w + 23*w = -61*w + 4192 for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**4 + 10*s**3 - 22*s**2 + 14*s - 4. Let o(t) = -t**3 + t - 1. Let c be (-18)\/4 + (-6)\/(-12). Let z(y) = c*o(y) + v(y). Factor z(a).\nAnswer: -2*a*(a - 5)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y**(2\/13))))**(1\/6)\/(y**28*y**(7\/5)) assuming y is positive.\nAnswer: y**(-3797\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.6 - 1.2. Let g = -32 + 29.1. Let u = g + z. Which is the closest to -3? (a) -4 (b) u (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x**10*x**(-10)\/x)**25)**(-1\/39) assuming x is positive.\nAnswer: x**(-25\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -3. Let m = -1 + o. Let a be (-3)\/(-1) + (0 - -2). What is the nearest to 1 in 2\/9, m, a?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 6*h - 7. Let s be u(5). Let a be s\/(-8) - 30\/(-8). Let z be ((-92)\/322)\/(((-2)\/28)\/(140\/56)). What is the highest common divisor of z and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 3*u + 2*q + 94 = 0, -5*u + 104 = 2*q. Suppose -j + u = j. Calculate the remainder when 30 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 57\/21 - 4\/(-14). Suppose -3*w + r = -3. Is 8\/3 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of j**3\/3 - 3*j**2\/2 + 4*j. Is 7 a factor of k(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/3, 2\/15, 0.5, 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41 by -4.\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -v**7\/105 - 4*v**6\/25 + 13*v**5\/50 + 2*v + 138. Find f such that h(f) = 0.\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3935 = -1447*l + 1452*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 154555\/307 or 504?\nAnswer: 154555\/307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -664 + 668. Suppose -5*t - 12 = 4*h - 54, 0 = -s*t - 4*h + 36. Let m(n) = -3*n + 13. What is m(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -125 - 36*o - 28*o + 125 + 65*o. Let p(z) = -2*z**2 - 357. Determine v(p(s)).\nAnswer: -2*s**2 - 357","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-6)\/(o\/o**(-1))*(o**(-1))**0 assuming o is positive.\nAnswer: o**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 681, 700, 729, 768?\n\"Answer: 5*h**2 + 4*h + 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 3)\/(((-10)\/(-2))\/20). Factor f*d + 0 - 2 + 6 - 2 - 8*d**3 - 2*d**2.\nAnswer: -2*(d - 1)*(d + 1)*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 0.6?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**5\/3 - 40*o**4\/3 - 76*o**3\/3 = 0.\nAnswer: -38, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 5*i = 10. Let k(p) = 0*p**2 + 3*p - 5*p - i*p**2 + 3*p**2 + 12. Let x be k(0). Solve 4*v = x - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**5 + 105*g**4\/2 - 116*g**2 - 2*g + 3011. Find the second derivative of p(r) wrt r.\nAnswer: -60*r**2 + 1260*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 1. Let p(f) = 12*f + 7. Let v(b) = 22*a(b) - 2*p(b). Suppose -20*d + 18*d = -12. Calculate v(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 2*v**3 + 34 - 3*v**2 - 6*v**3 + 10*v**3 - 9*v**3.\nAnswer: -7*v**3 - 3*v**2 + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3864173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-three quarters of a tonne?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o - 4. Let w be q(-3). Suppose -45 = -0*c - w*c. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*m**3 + 9742 + 12*m**3 - 19492 + 22*m**3 + 9750.\nAnswer: 68*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32127 + -163?\nAnswer: 31964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/90 - (-4)\/30. Let g(s) be the second derivative of 1\/40*s**5 + m*s**2 + 2*s + 1\/12*s**4 + 0*s**3 + 0. Determine c, given that g(c) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52226\/9 - 5713. Let m = g - 90. Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s + 8. Let r(t) = 14*t + 23. Let o(w) = 11*h(w) - 4*r(w). Let d be 5 + -2 - -13*1. Suppose -5*m + m - d = 0. Calculate o(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that f**4\/3 + f**3\/3 - f**2 - 5*f\/3 - 2\/3 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**3 + 25265*p**2 - 101120*p + 101140 = 0.\nAnswer: -5057, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(4400)*-1 + sqrt(132)\/(2*sqrt(3)))*-4)**2.\nAnswer: -1216*sqrt(11) + 63600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110332 + -10?\nAnswer: 110322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47\/22 - 40\/11. Put -0.5, a, 0.1, -0.2 in decreasing order.\nAnswer: 0.1, -0.2, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14, -34, -56, -80, -106, -134, -164?\n\"Answer: -w**2 - 17*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 20*f**2 + 5*f + 5. Let a be p(6). Suppose 5*m - a = k, -2*k - 604 = -2*m - 2*m. Suppose -194 = -5*d + m. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 2 + 63*k + 2*k**3 - 6*k**2 - 25*k - 41*k. Let i(m) = -2*m**3 + 11*m**2 + 5*m + 3. Determine 6*i(d) + 10*w(d).\nAnswer: -2*d**3 + 6*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13716 is divided by 70.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -40 divided by 22253628\nAnswer: -10\/5563407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 929 = 155. Let m = y - 81. Suppose n + r = 7, -m*n + 4*r + 4 = -31. Sort 1, n, -1 in descending order.\nAnswer: n, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 46 = -18. Suppose 4*i**3 + 0 - 4*i - 4 - 12*i**2 + n*i + 0 = 0. Calculate i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117691293.\nAnswer: 3, 39230431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -194*d**3*g**2 - 4*d**3*g*u - 2*d*g**2 - 2*d*u + 92*g**2*u wrt u.\nAnswer: -4*d**3*g - 2*d + 92*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of l**3\/3 - 11*l**2\/2 - l - 1. Suppose 3*r - 4*u - 62 = 0, -2*u = -296*r + 298*r - 4. What is x(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2 - 4*z**2 - 13*z + 18 + 3*z**2 + 3*z**2. Let i be j(-14). Solve i*l = 4*k + 12, 2*k + 20 = -5*l + 7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-1 + -17 + 9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*t + 32*t - 3*t**2 + 0*t**2 - 308*t in the form y*t + q + l*t**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b - -105c74?\nAnswer: 105c56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - ((-15)\/5 - -7). Suppose 2*a - 4*l - 154 = f, 4*a - l + 2*l = 308. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -1198*j. Let l(u) = -1418*u - 87. What is i(l(o))?\nAnswer: 1698764*o + 104226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1206 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-14)*k*k**(-2\/35)*k*(k*k\/(k**(-1\/22)\/k))\/((k*k*k*(k**3*k)\/k*k*k)\/k) assuming k is positive.\nAnswer: k**(-12329\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -16*d**3 + 38*d**2 - 2*d - 8602. Let s(v) = 14*v**3 - 34*v**2 + 2*v + 8601. Let t(z) = -8*o(z) - 9*s(z). What is the first derivative of t(x) wrt x?\nAnswer: 6*x**2 + 4*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6277 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + (-23 - 7212\/(-300)).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000159285 to five decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 3:11 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19317109 is divided by 1314.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - h + 1. Let z(b) = -b**3 + 5*b**2 + 10*b - 20. Let l(d) = -j(d) - z(d). Is l(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*g + 14*g + 13*g + g to the form a*g + w and give a.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -5, -1, 1, 28, 335.\nAnswer: -5, -1, 0, 1, 2, 28, 335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 - -12 - 3)*-5. Let r(g) = -17*g - 52. Let w be r(i). Calculate the highest common factor of 99 and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 346, 652, 890, 1024, 1018, 836, 442?\n\"Answer: -6*g**3 + 2*g**2 + 342*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2. Suppose -27 = -2*k + 5*z, 4*k + 5*z - 21 = 4*z. Let s(u) = k*u + 104*u**2 - 6*u - 120*u**2. Give s(y(j)).\nAnswer: -64*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.7 (c) -1\/4 (d) -0.513 (e) -133\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 183851507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48885 is divided by 742.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 744, 675, 606, 537, 468, 399?\nAnswer: 330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1605112952 rounded to four dps?\nAnswer: 0.1605","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197396 is divided by 862?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9416388.\nAnswer: 2, 3, 41, 19139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - x = 23 + 12, 4*x = 2*g + 36. Let o = g - -8. What is the third derivative of 2*a**2 + a**2 + o*a**2 + 5*a**4 wrt a?\nAnswer: 120*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19796*l = -19899*l - 2678 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/6)\/(q**(-5\/4)*q))\/(q**(3\/2)\/q*q\/(q**(2\/3)*q)))\/(((q*q**6)\/((q\/q**(1\/2))\/q))\/(q*q**2*q**(-2\/17))) assuming q is positive.\nAnswer: q**(-297\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*l = 12 - 501 - 41 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/270 and -6\/17.\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((490\/(-15))\/(-7))\/(7*5\/30)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 185*u - 2183. What is l(-11)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**2 - 16*k + 5. What are the prime factors of s(21)?\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 21. Let d = z + 1. Let l(v) = 3*v**3 - 2*v**2 - 3*v + 2. Calculate the remainder when l(2) is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 70, 144, 278, 490, 798, 1220?\nAnswer: 1774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.788 + -49.\nAnswer: -41.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1504*l - 980*l + 3117*l + l**2 to m*l**2 + u*l + b and give u.\nAnswer: 633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y. Let x(p) be the third derivative of 0*p + 4*p**2 + 1\/4*p**4 + 0 + 0*p**3. Determine t(x(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2 - 0)*1)\/(-1). Suppose -y - b = -7, -4*y - b + 17 = 1. Suppose 0 = -r*o + y*k + 1, -3*o + 35 = 2*o - k. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18446816 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -1 - (4 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2. Let g(y) = y + 7. Let q be g(-4). Let m(a) = -q*a + 0*a + 3*a - 2*a. Calculate m(x(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + i - 9175. Let m(d) = -6*d. What is m(w(q))?\nAnswer: -6*q**2 - 6*q + 55050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -e (base 16) in base 7?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * -987152\nAnswer: 39486.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -235006*t**2. Let s(q) = 274*q**2. What is s(r(j))?\nAnswer: 15132422689864*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q - 30 = 15*q. Suppose 0 = -5*p - q*r + 2*r + 2091, -5*p + 2106 = -2*r. Does 42 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + 0.1. Let o(d) = -d**3 + d**2 - d + 3. Let v be o(2). Which is the closest to 1? (a) v (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81269667 by 1.\nAnswer: -81269667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6171 - 5749. What is the remainder when p is divided by 164?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by 593203.\nAnswer: -27\/593203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*h - 5*h, 0 = 4*n + 5*h + 3. Suppose -r + n*o = -2*o - 26, 3*o = r - 36. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22867*a**3 + 1771*a**2 - 109753143*a wrt a.\nAnswer: 137202*a + 3542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 1166?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 459\/(-1530) - (-62)\/(-60)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 107, 95, 61, -7, -121, -293?\n\"Answer: -2*q**3 + q**2 - q + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmahcdbbc. What is prob of picking 1 d and 1 a?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - -17) + -94 + 83. Put -37, -5, z, -4, 1 in increasing order.\nAnswer: -37, -5, -4, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 7:16 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*g + 20 = 0, -u = 3*g + g - 22. What is the units digit of 1\/u + 8\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 - 3*h**4 + 0*h**2)*(1886*h - 2655*h - 443*h - 2003*h - 1687*h).\nAnswer: 14706*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 - 8*d + 3. Let z be w(3). Find the common denominator of 10\/(-15) - 178\/(-24) and 3\/z*304\/56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6290.999992978 + 6291. Round c to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 302.8566um?\nAnswer: 0.0003028566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + m + 2*m)*(3 + 0 - 5) + 4*m - 4*m - 2*m - 4872*m + 1325*m - 5102*m.\nAnswer: -8655*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 + 10*p**2 + 5*p**2. Let l(k) = 64*k + 3. Let b(q) = 172*q + 8. Let i(w) = 3*b(w) - 8*l(w). Determine v(i(z)).\nAnswer: 288*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t = -29*t + 9. What is the least common multiple of 3 and t*(-66)\/(-18) + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 545098 to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 264*c**2 + 122*c + 32188. Give h(-264).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (7 + -7 + 1 + 5 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/20*((-16)\/40)\/(3\/45).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16035151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -71 and -3.\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 10:01 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 10:55 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4263702688.94 - -4263398525.239999. Let w = 304164 + h. Let u = 0.3 - w. What is u rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31\/1951 + 3517312\/21461. Does 164 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -69497961, -69497966, -69497975, -69497988?\n\"Answer: -2*l**2 + l - 69497960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (sqrt(104) + sqrt(104) + (sqrt(104) - 2*sqrt(104)*-6))) + (sqrt(104) - sqrt(104)*-1)*-1)\/((sqrt(400)\/sqrt(160))\/sqrt(5)*2)*4.\nAnswer: -128*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 7*y**2 - 4*y - 4. Let r be h(8). Factor -9*a + r*a**2 - 25*a**2 - 40 + 10.\nAnswer: 3*(a - 5)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*u**4 + 0 - 35*u + 6*u**4 - 23*u - u**3 + 55*u to p*u + z*u**3 + d*u**4 + w*u**2 + l and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.11 and 1604\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10240 (base 9) to base 12\nAnswer: -3ab3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*c**3 - 203*c**3 - 391*c**3)*(-22 + 22 - 7*c**2).\nAnswer: 4459*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = s + 50. Let f = s - -13. Let t = 2 + f. Solve 3*i - a = 19, 3*i - 6*i - t = 5*a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0 (c) 6\/11 (d) -2\/49 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -33364*k**2 - 55263 wrt k?\nAnswer: -66728*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j + 45. Let k be y(-6). Solve -k = w + 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15\/(-10) - 2)*(-8)\/14. Suppose f*k - 680 = -6*k. Let x = 216 - k. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 96.83366 to one decimal place.\nAnswer: 96.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/4)\/(1\/(-40)). Suppose -v*z + 82 + 18 = 0. What is the least common multiple of z and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66 - 92) + (1 - 4 - -14).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2010021 (base 3) in base 10?\nAnswer: -1546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**5 - 304*s**4 + 17376*s**3 - 449524*s**2 + 4784126*s - 10751676.\nAnswer: 2*(s - 41)**3*(s - 26)*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -x, 5*d - 1 = 60*x - 57*x + 10 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 o when three letters picked without replacement from {x: 7, o: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 v when four letters picked without replacement from ppvppppvpvppvppv?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286 - 573 - 3*r + 287.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 57278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5612, 22382, 50312, 89402, 139652, 201062, 273632?\nAnswer: 357362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 7 - 12 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s - 5. Let q be b(-3). Calculate the highest common divisor of 20 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*n**2 + n - n)*(630*n - 64 - 107 + 164) to the form q*n**2 + y + x*n**3 + r*n and give q.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -8 - (6 - (6 - 2))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.6834 - 1.6834. Let c be 2 - 0 - 22\/9. What is the closest to 0 in -1\/11, c, n, 0.3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 85 = 195. Suppose 13*m - 594 + 230 = 0. What is the greatest common divisor of a and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -1\/18*d**3 - 1\/180*d**5 - 1\/36*d**4 + 0*d + 0 - d**2. Factor j(o).\nAnswer: -(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 78a - -43?\nAnswer: 7cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*g + 4, g + 3*g - m = 4. Let t(j) = j**3 + j**2 + 2*j + 2021. Is t(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/8554 and -47\/1456.\nAnswer: 68432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.02 and -27.\nAnswer: -270.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87185317*r**6 - 268165692*r**2.\nAnswer: 10462238040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = k - 10, -8 = k - 3*x - 3. Is k\/((-40)\/(-11755))*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -3*l**2 - 1\/12*l**4 + 18*l - 7\/2*l**3 + 0. What are the prime factors of x(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -7*l + 12. Suppose -l*t = -5*t. Solve 0*q - 5*q - 15 = t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 594*s**3 - 6*s**2 + 12*s - 20. Let c be t(11). Round c to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 996331.9ml in litres?\nAnswer: 996.3319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (25*9\/12)\/((-24)\/(-704)). Let u = j + -548. Solve 4*n + 2*s = 14, -3*n + s + 1 = -u for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 - 12 + 26*l)*(l + l + 0*l) to j*l**2 + a + p*l and give j.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36873340.\nAnswer: 2, 5, 7, 17, 15493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 44862 + 21576. Let l(y) = 22146 - y**2 - t. Let v(i) = i + 25. What is l(v(u))?\nAnswer: -u**2 - 50*u - 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3261602252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 2. Let m be y(-1). Suppose m = 2*b + 4. Let x(z) = z**2 + 1. Let f(l) = 4*l**2 - 2*l + 3. What is b*x(o) + f(o)?\nAnswer: 2*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c = -6. Let l = c - -14. Suppose -10*m = -l*m - 94. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 + 23. Let l(x) = 18*x + 25. Let j(z) = -19*z - 26. Let f(n) = p*j(n) - 5*l(n). Is f(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -15*z + 377. Let q be f(25). Let m(v) be the first derivative of -q*v**3 - v**2 + 2 + 3*v + 1\/4*v**4. Calculate m(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of 0*s**5 - 2\/105*s**7 + 0*s**6 + 1\/8*s**4 - 3*s**2 + 0 - 31\/6*s**3 - s. Differentiate j(y) with respect to y.\nAnswer: -16*y**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 15 = 4*r + 1, 4*f + 10 = 3*r. Let i(d) = -7*d - 12. Let s be i(r). Let b be 3\/12*(11 + 1). Solve -b*k = s*k - 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-6))\/(-1) - ((-1704)\/1278)\/(400\/(-436))?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 - 5*x**2 + 11*x + 4. Let w(b) = -b**3 - 2*b**2 + 5*b + 2. Let f(z) = -2*g(z) + 5*w(z). Determine d so that f(d) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -27 - 2 - 0.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66 + -458\/7. Put 1, 7, w in increasing order.\nAnswer: w, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*z = 337 + 62 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -10*i + 1068. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 a, and 1 t when three letters picked without replacement from {a: 1, c: 7, t: 1, i: 5}?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 70079 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 n when three letters picked without replacement from {b: 7, v: 3, n: 3, h: 3, a: 4}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxx. Give prob of sequence xxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27545.838 months in centuries?\nAnswer: 22.954865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -112858 and 12.\nAnswer: -112846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5868 or 2382?\nAnswer: -5868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245, 318, 391, 464, 537, 610?\nAnswer: 683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = -2*h + 3*l + 16, -3*l - 20 = -4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61.2 + -364.2. Let x = -307 - a. What is the third smallest value in -30\/13, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 11. Let a be 5\/3 - 3\/y. Find the second derivative of 3*o - 3*o - o - o**a - o**2 wrt o.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) 0 (b) 2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -35, -77, -137, -215?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/12)\/((-4431)\/292446).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/1791 and 62\/741.\nAnswer: 442377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -357635, -715252, -1072869, -1430486, -1788103, -2145720?\nAnswer: -2503337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 15. Let i(s) = 2*s + 16. Determine -2*i(q) + 3*k(q).\nAnswer: -q + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73 + 217\/3. Let f(i) = -i - 4. Let o(r) = 4*r + 3. Let s be o(-2). Let g be f(s). Sort g, -3, z in descending order.\nAnswer: g, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 47 = -5*g - 20, 4*g - 2*u - 6 = 0. Suppose 18485 = -g*n + 8*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*h**5 - 33970*b**3*h**4 - 22*b**3*h**2 + 4110*h**2 wrt h.\nAnswer: -60*b**3*h**2 - 815280*b**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u = 104*u - 14*u + 375 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 7*m**2 - 7*m + 12. Calculate the least common multiple of w(-6) and 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -47 + 0 + (30 - 13)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 26*d + 6260480 = -d. What is d rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*k + 97*k + 42*k + 195*k.\nAnswer: 365*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 680 divided by -136.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 14*p**2 - 2*p - 2. What is the tens digit of d(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 16, d + 0 = 3*n - 9. Let f be (4\/(-6) - -2)\/((-28)\/(-42)). Let q = 14 - 11. Solve -4*k - 18 = -2*t, q*t - d*k - 22 = f*k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-882)*21)\/(1\/(-2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.099 - -1.099. Let d = 2.9 - 3. Which is the nearest to d? (a) z (b) 3\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*v - 2*v + 4824, -3216 = 2*v + 5*w. List the prime factors of v\/(-42) + 2\/(-7).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*c = -72. Let r be ((-2)\/(-3))\/((-2)\/c). Let n(v) = 247*v**2 + 8. Let f be n(r). Round f to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 304, 303, 302, 301, 300?\n\"Answer: -j + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/6)\/((-1)\/6). Suppose 14 = i*f - 1. Let r(c) = 0*c + 5*c**2 - 3*c + 2*c + 7 - c**3. Calculate r(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j\/j**2)\/j))**(-4\/9)\/(j**(-2)*j)**(-21))**(1\/27) assuming j is positive.\nAnswer: j**(-197\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5\/20)\/(51\/102))\/(5\/(3510\/3))?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 68 (c) 42 (d) 349\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330373?\nAnswer: 37, 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-86)\/(-12) - (-10)\/(-15). Is 6 > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -157*o**2*y**3 - 4*o**2*y**2 + 2*o**2 + 2*y**3 + 1077*y**2 with respect to o.\nAnswer: -314*o*y**3 - 8*o*y**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 183799 by 26257.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 684*q + 28. Let d be g(20). Is d\/15 + (-40)\/(-300) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + 3\/(15\/(-70)))\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18921\/(-1855) - (-3)\/(-30)*(-5 - -3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 - -1. Let l = -7.2 - -0.2. Let r = l + 4. What is the nearest to 1 in -0.2, j, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -48 and -227.\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 124063674583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 18182412*c - 18182410*c + 488 = 0, 0 = -5*w + 5*c + 195 for w.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbftqbtbaq. What is prob of picking 1 t, 1 f, and 2 q?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 336*y - 333*y + 430*y + 28*y + 453*y to the form r*y + u and give r.\nAnswer: 914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide ((-5)\/((-60)\/27))\/((-15)\/(-1360))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*o - 8. Suppose 2*b - 6 = 2*w - 6*w, 2*w - o = b. Solve w*k - 2*r + 2 = -r, 5*r = 20 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88366507617599 + 4*o**2 - 2*o**2 + 88366507617599.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 2\/757, 76 in decreasing order.\nAnswer: 76, 3\/2, 2\/757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8072572?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.5, -4, -3, 2 in increasing order.\nAnswer: -4, -3, -0.5, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2. Let a(o) = o**3 + 9*o**2 + 10*o + 16. Let t be a(-8). Let b(p) = t*p - 4*p - 7*p. Determine b(v(q)).\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 46*j**5 + 44*j**3 - 3*j**2 - 5072*j - 1. Find the second derivative of i(p) wrt p.\nAnswer: 5520*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -56*o**3 + 2*o + 1. Suppose -f = 2*f - r - 2, -5*r = f + 26. Is l(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 11311511?\nAnswer: 11311505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 288642326 to the power of 1\/2, to the nearest integer?\nAnswer: 16989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74\/3 - -24. Which is the nearest to k? (a) 0.4 (b) 3 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.41 - 0.61. Let n = 0.01 - 0.03. Put n, -4, q in decreasing order.\nAnswer: n, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4 - 6703674*j**3 + 3744930387843*j**2 + 7489880886720*j + 3744943795200.\nAnswer: 3*(j - 1117280)**2*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -11*y - 11. Let z be d(-12). Suppose -o = -g + 4*o - 17, -4*o + 25 = 3*g. Suppose -n = 5*v - z, -3*n + v = -g*v - 401. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 195 + -135. Let n be (m\/(-8)*16\/(-10))\/1. Solve a + n = -2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (146\/(-5))\/(88\/(-220))*((-112)\/(-14))\/(-8)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 23831 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 9*j - 12 = 0. Let x = -2 - j. Suppose -x*b + 4 = 3*p - 4, -5*b - 3*p = -20. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33947*c - 67879*c + 10 - 36 + 33960*c to the form b*c + q and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -74 + 73 + (1 - 5) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 69345 * 0.19\nAnswer: 13175.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 33778297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c - 2*c - 7924 + 15849 - 7925. Let t(w) = 4*w**2 + 2*w. Let o(q) = q + 8*q + 0*q + 17*q**2. Let g(j) = -2*o(j) + 9*t(j). Determine g(s(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -62855.\nAnswer: -125710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -188, -345, -498, -647, -792, -933?\n\"Answer: 2*o**2 - 163*o - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 14*r + 17. Let y be b(-13). Suppose 4*z + 2*j = 20, 4*z - y*j = 4 + 4. Solve 5 = -3*m - z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4889\/162 - 26\/81. Let p = -30 - g. Let h = -105.8 - -106. Which is bigger: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p + 2*p - 3*p - 4*p + 3*p - p + (2 + 0 - 4)*(0 + p + 0) + p - p - 2*p - 2*p + 3 - 3 + (-5 + 2 + 2)*(-4*p + 2*p + p) - 6*p - 9*p + 4*p.\nAnswer: -19*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0.2 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 34?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 u, 1 v, and 1 q when four letters picked without replacement from vjjjjubqj.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -613 - 8*k - 607 - 631 + 1853.\nAnswer: -8*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p. Let h = 112 - 116. Let r(o) = -5*o + 6. Let w(x) = h*r(x) - 4*u(x). Differentiate w(k) wrt k.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 x when two letters picked without replacement from {x: 1, c: 1, p: 1, n: 1, b: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - -1a55127?\nAnswer: 1a55134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6366327?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -2\/13 (c) -1 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83626879?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8616 divided by 6?\nAnswer: 1436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 7*l**2 - l - 2. Let j be n(1). Let t = 0.0804 - -0.2196. Which is the nearest to -2? (a) -5 (b) t (c) j (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 231473823 to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*p + 156534 = -3*p, -4*p + 39162 = z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42201311263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 4 (b) -16 (c) 41288\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + -15. Let m = -62 - j. Solve -4 = -4*k + 5*u, k + m*u - 18 + 42 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -84360 to the nearest 1000.\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 205*q + 6. Let i be k(3). Suppose 11*p - i = -181. Suppose -p + 183 = 11*d. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*-2*3*-4*6)\/(-2*sqrt(216)\/(-1*sqrt(9))).\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 40100*27.34\nAnswer: 1096334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10823*0.0632\nAnswer: -684.0136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 9*o + 8. Let g be n(8). Suppose 8*d = -g*d + 24. Suppose d*q + b = 15, 3*b - 20 = -4*q + b. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -0.2, 355\/962, -5 in decreasing order.\nAnswer: 355\/962, -2\/13, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 9*b + 12 = 0. Let p be 1\/(-2)*b\/((-3)\/4). Solve 5*z + 4*z**p + 3 - 1 + z = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 954719 or 954715?\nAnswer: 954719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 1 = 4*m, -2*u + u - m = 0. Let t(n) = -n - 1. Let o(h) = -6*h - 1. Let j(x) = u*o(x) + 4*t(x). Let c be 34\/10 - (-4)\/(-10). Calculate j(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -7. Let x(u) = -3*u**2 + 28*u + 64. Let t(z) = -z**2 + 9*z + 21. Let d(l) = -7*t(l) + 2*x(l). Let s be d(11). Solve -v*f + s = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((((sqrt(133) + -3*sqrt(133) - sqrt(133) - sqrt(133)) + sqrt(133))\/sqrt(7) + 4 + -5*(sqrt(19) + (2 + sqrt(2736) + sqrt(2736) - sqrt(2736))))*4)**2.\nAnswer: 13056*sqrt(19) + 1406277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 9*q - 8*q. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 5*d + 3. Suppose -195 = -67*l + 28*l. Suppose 11 = k + 4*p, 11*k + l*p = 12*k + 7. Calculate h(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vo when two letters picked without replacement from onvqq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 15, -208, -5, -2.\nAnswer: -208, -5, -2, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -9*l + 3\/2*l**2 + 1\/3*l**3 - 2. Give o(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 70.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 5\/6*d**5 - 5\/3*d - 5\/2*d**4 + 5\/2*d**2 + 0 + 5\/6*d**3 = 0. Calculate d.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27546774 divided by 6.\nAnswer: -4591129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 12) to base 5.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 8:33 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 19. Solve l - 1 = -n for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42950 is divided by 457.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(363) + (sqrt(363)*-2 + 0)**2.\nAnswer: 11*sqrt(3) + 1457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*k**3*m**2*w - 7*k**3 + 2*k**2*m*w**2 - 2*k*m**2*w**2 + 2*k*m*w**2 wrt m.\nAnswer: 28*k**3*w - 4*k*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8922, -8909, -8896?\nAnswer: -8883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 97394234 to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18671 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 7 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/49 + (-146)\/(-7). Suppose 0 = 2*n - n - m. What are the prime factors of 2*(-15)\/(-18)*n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -478, -492, -526, -586, -678, -808, -982, -1206?\nAnswer: -1486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3248*b - 45 = -3233*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 - 18 = 9*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2058 = -3*k - 4*k. Suppose -k = -0*l - 3*l. What is the greatest common factor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(15\/3)\/(-15))\/(22\/36)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 251*t + 2926. Give j(-266).\nAnswer: -1064","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j - 1. Let h(b) = -11*b - 6. Let v(n) = h(n) - 6*u(n). Let t(p) be the second derivative of 0 + 47*p + 0*p**2 - 5\/2*p**3. Give t(v(a)).\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3622 + -3622.5. Which is the smallest value? (a) -2 (b) q (c) 1073\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1440 - -1494. Solve 2*c = f - 54 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -4*z**3\/3 - 560*z**2 - 78400*z + 394. Suppose k(g) = 0. What is g?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/6*48\/(-40).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -6. Suppose 4*a - 6*a = h*r - 2, -3*r = a - 1. Solve r = 6*i - i - 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/15)\/(2\/10). Suppose -202 = -w*d + 238. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 0 = -40. Suppose 5*i = -s*k + k + 10, 4 = -2*k + 2*i. Suppose 4*d - 234 - 102 = k. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8503*l - 2453 wrt l.\nAnswer: 8503","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 1. Let k(u) = 12*u - 6. Let t(g) = 2*d(g) - k(g). Let r be t(-6). Suppose -r = -f + 87. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13204, -12734, -83142, -220256, -446312?\nAnswer: -783546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -13. Which is the nearest to -1\/3? (a) w (b) -4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 15*v + 23. Let i(z) be the first derivative of z**2\/2 + z - 2. Let o(c) = 6*i(c) - q(c). Is o(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from {m: 2, w: 3, t: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5aa + 37?\nAnswer: -573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61\/374 - 5\/102. What is the common denominator of -17\/15 and v?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1132\/9 - -8273\/72. What is the common denominator of w and ((-115)\/25 - -5) + (-1401)\/90?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/40 - 38\/(-10). Suppose q*p + 0*p = 0. Is p smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 - 3*z**2 + 54356 - 54356.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 + -52. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.25, 2, 1 in decreasing order.\nAnswer: 2, 1.25, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103066823.\nAnswer: 7211, 14293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3021 + 3039. Sort f, -0.5, -0.2, -2 in decreasing order.\nAnswer: f, -0.2, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 - 22*u - 15. Let b be n(12). Suppose -37 - 17 = -b*d. Suppose -520 = -d*v + 2*v. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6151, 891, -4369, -9629, -14889, -20149?\n\"Answer: -5260*z + 11411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r**5 + 6*r**4 - 63*r**3 + 12*r**2 + 36*r = 0. Calculate r.\nAnswer: -3, -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2180 - 817. What are the prime factors of b?\nAnswer: 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 298*f + 21247. Give g(180).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6495865 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 + 19710*k**2 + 734007*k - 4162410.\nAnswer: -3*(k - 6607)*(k - 5)*(k + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 278 and 31553.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -12. Let g = -6 + 2. Sort k, g, 3 in decreasing order.\nAnswer: 3, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j**2 + 11*j - 4*j - 5*j. Let t be a(1). Suppose -5*c + t = g + 1, 0 = -4*c - 5*g - 2. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 24. Suppose -v + n*q = -37, 3*q - 64 = -v - 3. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1118601?\nAnswer: 3, 11, 11299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(15)\/sqrt(5)) + (sqrt(84)\/sqrt(4))\/sqrt(3) + -5 + -4 + sqrt(14)\/sqrt(2) + -3)**2 + -4.\nAnswer: -72*sqrt(7) + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 606414 and 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -2, -2\/7, 1\/14 in decreasing order.\nAnswer: 1\/4, 1\/14, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**11*q\/q**(1\/16)*q)\/(q\/q**(-2\/3)*q*q*q**(2\/3)*q*q*q) assuming q is positive.\nAnswer: q**(317\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -265*w**4 - 3*w**3 + 6*w**2 - 48. Let g(s) = 268*s**4 + 4*s**3 - 5*s**2 + 46. Let z(y) = -3*g(y) - 4*l(y). Find the third derivative of z(t) wrt t.\nAnswer: 6144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 816420 by -74220.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100) + -3*sqrt(100))\/sqrt(10)*2)\/((1*sqrt(40)\/sqrt(4))\/sqrt(5)).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1254)\/(-132)*180\/1235?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5697 less than -14319534288?\nAnswer: -14319528591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 123*w**3 - 2 - 233*w**3 - 2*w**2 + 489*w**3 to m + q*w + c*w**2 + s*w**3 and give s.\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -105 - (-13 - (-46 - -110)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**2 - 2*z**2 - z**2)*(-12*z - z + 2*z) + 0*z**3 + z**3 + 3*z**3 in the form k*z**3 + v*z + y + g*z**2 and give k.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 times -560147.41?\nAnswer: 117630.9561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*h. Suppose 3*k = h, -3 = -f - 0*f - k. Solve -1 = -y - f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, v: 4, u: 5, q: 1, s: 1, f: 1}. Give prob of picking 1 q, 1 s, and 2 v.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.34001 and -10.\nAnswer: -3.4001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3 + (-258)\/(-9). Suppose -4*y + m = 9. Solve -6 = y*h + n, -2*h + n = -0*n + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + 0. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29390 is divided by 124.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 189 and 609.\nAnswer: 5481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 + 3*b + 5. Suppose 38*c - 3716 = 2174. Calculate the remainder when c is divided by d(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95708 and 2647164.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 434\/372 - 44\/(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 5*v - 6, -2*i = -v + 3*v - 4. What is the least common multiple of 103 and i?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {h: 4, w: 12, d: 4}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 170 + -79. Let u(z) = -8*z + 7. Calculate the remainder when o is divided by u(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -3*y - y. Solve 4*h - 4*w + y = 0, -10 = -h - 5*w + 14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 3 + 0 - (1 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1400 or 1730?\nAnswer: 1730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n - 3*n + 3*n + 0*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2071, 4138, 6195, 8242?\n\"Answer: -5*g**2 + 2082*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n. Let g(l) = 17 + 3846*l - 3 - 3844*l + 37. Determine v(g(f)).\nAnswer: 12*f + 306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.077 + 3.823. Let z = y - 4. Let j = 0 + 0.2. Which is the nearest to -1\/2? (a) j (b) z (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -389*h*u**2 - 5011*h*u + h + 25091097*u**2 wrt h.\nAnswer: -389*u**2 - 5011*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**3\/3 - 30*f**2 + 116*f + 1738. Factor m(j).\nAnswer: (j - 58)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - sqrt(152)*-1*-4 - sqrt(152))\/(sqrt(72)*-4).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -135\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/114083?\nAnswer: -2\/114083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 1604.\nAnswer: 1604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118629 is divided by 659.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 - 57. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26046, -51867, -77688, -103509?\nAnswer: -129330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -43 - 117 - 226*h - 54*h. What are the prime factors of i(-6)?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32814 (base 9) to base 16\nAnswer: -552a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-372)\/310*(-5)\/2. Suppose u*v - 885 + 32 = -4*b, 1104 = 4*v - 3*b. What is the highest common factor of 62 and v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**2*s*u + 3*c**2*s + 45194155*c**2*u**3 + 8409*c*s*u**2 + 99*c*s + 2*s*u**3 - s wrt u.\nAnswer: 271164930*c**2 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - z - 29*z**3 + 14*z**3 + 21*z**3 + 9.\nAnswer: 6*z**3 - z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 92\/28)*-7. Suppose 2*k - 3*k + l = 0. Is k equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**2 + 2*w**2 + 10*w**2 + 2 + 9. Let n = 1 - 4. Let p(s) = -4*s**2 - 5. Give n*c(l) - 7*p(l).\nAnswer: l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 10:30 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 90*q - 456. Let t be j(5). Let z(c) = -7*c - 38. Calculate z(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**3 + o**2*s + 4*o**2 - 56*s wrt o.\nAnswer: 3*o**2 + 2*o*s + 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-14))\/((735130\/1148)\/163).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 302 divide 5963564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 24. Let l be f(-10). Let o = l + -30. What is the highest common divisor of 10 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**3*z + 57919653*m**3 + 3*m**2*z + 9*z - 275873 wrt m?\nAnswer: 12*z + 347517918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -72, -0.02, -5 in decreasing order.\nAnswer: -0.02, -5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5801405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 6:00 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36362298 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-2)*((-220)\/(-35))\/22.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, -8596198.\nAnswer: -8596198, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/120688200 and -61\/2011470.\nAnswer: 120688200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84\/13 + -381\/65. Let q(o) = o**3 - 3*o**2 - o + 16. Let r be q(4). Let b be (r\/7 + -6)\/(-1). Which is bigger: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8443604456328 plus -4?\nAnswer: -8443604456332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + z + 7. Let a(i) = 100*i**2 + 3046*i - 21. Let f(k) = a(k) + 3*g(k). Find the second derivative of f(t) wrt t.\nAnswer: 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100 + 3*k + 99 - 220 + 104 - 83.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 50*i + 199. Determine x(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2268)\/1260)\/(66\/880).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211011 + 121?\nAnswer: 211132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 + -0.4. Let h = -0.2 + d. Suppose -32 = 4*p - 3*u, 4*u - 6 = -0*p - 2*p. What is the nearest to h in p, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 10:12 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-55)\/44*(-2 + -2). Suppose -16 = -h*s + 3*s. Solve 4*c - 3*c - s = 2*y, 2*y + 8 = -3*c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p**2 - 31*p + 92. Determine o(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7143162 to the nearest integer?\nAnswer: 2673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3607480 rounded to the nearest 100000?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 4. Suppose -y*c + 10 = 2*h, -6*c = h - 3*c - 3. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2. Let g be (8\/3)\/(4\/6). Let h(d) = -g*d**2 - 2*d**2 + 5*d**2 + 5*d**2. What is h(z(c))?\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7086282 greater than 7086282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 146 and 368.\nAnswer: 26864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11123158 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 5:29 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -44, -72, -100, -128?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -702 - 2342*t**4 - 715 + 1519 - 7*t - 2068*t**4 wrt t?\nAnswer: -52920*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 13\/11 + -1 - 8\/44. Suppose l = -4*u + 22 - 2. Suppose v - u*g = 4*v + 27000010, -2*g + 44999996 = -5*v. What is v rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 63b0 + -3?\nAnswer: 63aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -10*q**3 + 3*q**2 + 8*q - 1. Determine u(2).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16335\/(-13860) - (-6)\/14. Let v = 7.3 + -5. Which is the biggest value? (a) 2\/5 (b) -3 (c) w (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-6)\/12) - (2 - 2). Suppose -5*u = 4*t + 1551, 6*t + 1530 = 2*t + a*u. What are the prime factors of -3 - t\/(2 + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18.4 + 67. Let n = 0.78 + 48.22. Let b = n - c. What is the closest to -2\/7 in 3, b, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, w: 4, k: 3}. Give prob of sequence kkrr.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from lllldllllllll.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + 3*a - 2*a)*(0*a + a + 0*a) + (-2*a + 6*a - a)*(2*a + 4*a - 4*a) as u + l*a**2 + g*a and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0 = -2. Let s(v) = 22*v - 9. Does 28 divide s(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(2\/3)\/c)**(4\/23)*c\/(c\/(c*c**(-2\/7)))*c*c**6\/c)**(1\/28))**20 assuming c is positive.\nAnswer: c**(16075\/3381)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 4:37 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 666, 652, 636, 618, 598, 576?\nAnswer: 552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m**2 - 243*m - 715. Calculate g(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -6, -2 in descending order.\nAnswer: 3, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 - (0 + -2) - 0. Suppose -3*x = -4*k - 68, 2*x + 3*k - 7 = 10. Solve -c*z - x + 7 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 0*n - 22\/3*n**3 - 1\/4*n**4 + 23\/2*n**2 - 17. Factor d(c).\nAnswer: -c*(c - 1)*(c + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*y**4 + 18*y**3 - y**2 + 68*y**5 - 131*y**5 - 13*y**2 + 65*y**5 + 4*y.\nAnswer: 2*y*(y - 2)*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2*c - 2, 0 = -0*t - t - 2*c - 4. Let k(p) = 11*p**2 - 26*p + 25. Let s(w) = 4*w**2 - 9*w + 9. Let z(v) = -3*k(v) + 8*s(v). What is z(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 1541 = 739. Let j = t - -2225. List the prime factors of j.\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 6. Let l be y(-5). Let c(r) = -2*r**3 - r**2 - r. Let s be c(l). Solve 5*p + 17 = s for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24 + (0 - 3\/(-3)). Solve x = -3*m - 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 77*p + 240. Give y(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7881356*x**5 - x**4 + 43871990*x**2 wrt x.\nAnswer: -472881360*x**2 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 2*x = 18, p + 104*x = 99*x - 27 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - i + 1. Suppose -90 = -3*q - 12*q. Let v(h) = 14*h**2 + 6*h - 5. Determine q*g(c) + v(c).\nAnswer: 8*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 368 - 368. Solve -6 = -m*a + 6*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 1)*(-2 - 52 + 31)*(-1 - 2 + 4)*(-2*n - n - 4*n) - n + 3 - 3 to p*n + q and give p.\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - 27. Solve 5*m + 1 = -r*t, 3*m = -0*m + 4*t + 11 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7\/5, 0.04, -1, 3\/7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/m**(-1\/8)*m*m)\/m**4)**16\/(((m**(-1\/2)\/m)\/m)**6)**48 assuming m is positive.\nAnswer: m**722","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(245) + (sqrt(245) + sqrt(245)*-4)*-5 + -3 - (-2*(1 + 0 + sqrt(245)) + 3))**2.\nAnswer: -756*sqrt(5) + 79389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/6))\/h**(-10\/9)*(h**(-2))**(-9) assuming h is positive.\nAnswer: h**(365\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**4 + 700*a**3 - 4740*a**2 - 52560*a.\nAnswer: 5*a*(a - 12)*(a + 6)*(a + 146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/(12\/120). Suppose 4 = -2*d + 3*f, l*d + 10 = 4*f - 2*f. Let y be 6 + (d - -4)\/2. Calculate the greatest common divisor of y and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 398578*d - 1992920. Calculate j(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-5) - 1)*4350\/435?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v - 5. Let k be u(7). Suppose -k*c + 4*l + 4 = -0, 24 = 4*c - 4*l. Let t = 130 + -40. Calculate the highest common factor of t and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*1 + (-77)\/(-88). Which is the closest to -4? (a) -0.3 (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 102 - 93 = 0. Let x = 30 - 18. Suppose r*s + x = 7*s. Solve 0 = q - 2*z - s, -2*z - 11 = -3*q + 2*z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*x**2 - 36*x**2 + 17*x**2 + 21 - 2*x**3 to t*x**3 + c*x + u*x**2 + d and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/225)\/(1\/3)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/10 of a tonne?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, z: 1, b: 2, t: 2}. What is prob of picking 1 t and 1 g?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 515 minutes before 8:23 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**3 + 1690*h**2 - 13072*h - 645888 = 0.\nAnswer: -16, 24, 1682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -4 - 0 - (-6 - -11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-15)\/(135\/(-34002)))\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.732363 to three dps.\nAnswer: 0.732","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g - 7. Let f(y) = -2930294 + 23*y + 2930294. Calculate l(f(q)).\nAnswer: -92*q - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 7. Let b be (-1 - v)*(-2)\/(-3). Does 12 divide (-6)\/(-12) + (-222)\/b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.17 rounded to 1 decimal place?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (112\/441)\/(-8)*-9\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.2754 times 5\nAnswer: -1.377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 4:16 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-68)\/14 + 30\/(-210). Suppose -3*v + 6*v = -k - 8, 4*k - 28 = 3*v. Which is the smallest value? (a) 2\/5 (b) k (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2263 is divided by 1078.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*l - 2415 = 339 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 3422534?\nAnswer: 3422532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, e: 2, n: 1}. Give prob of picking 2 e, 1 m, and 1 n.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 33*k**2 + 16*k - 52. Suppose 7*c + 93 = -131. List the prime factors of m(c).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -370639996 divided by -110441.\nAnswer: 3356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*w**2 - 2*w**2 + 0*w**2)*(3 + 3 - 2)*(-2*w - 3*w + 2*w + (-5*w + 5*w - w)*(0 + 1 - 2)) as b*w + r + s*w**2 + u*w**3 and give u.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 22.8674 and 0?\nAnswer: 22.8674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttdtt. What is prob of picking 1 d and 2 t?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 0 - 3\/40*m**6 + 0*m**4 + 13*m**2 + 0*m + 0*m**5 + 7\/2*m**3. Differentiate q(j) wrt j.\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 v when three letters picked without replacement from {u: 6, v: 13}.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence flp when three letters picked without replacement from {r: 1, z: 1, p: 1, e: 5, f: 1, l: 4}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*s - 6. Let z(f) = 0 - 3937*f - 4 + 3954*f + 3. Determine z(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235385 divided by -8.\nAnswer: 235385\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 41 - 39. Solve 5*v + 6 = j*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.634156 nanometers in centimeters?\nAnswer: 0.0000001634156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12278 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3091, 208 in ascending order.\nAnswer: 5, 208, 3091","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.27 and 124259.\nAnswer: 157808.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -12*o**2 - 2*o. Let j(t) = t. Let l(n) = -f(n) - 3*j(n). What is the remainder when l(-1) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(9\/2)\/d*d*d*d*d\/(d**2\/d)*d\/d**(-2\/19)*d**7 assuming d is positive.\nAnswer: d**(555\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d**2 - 3*d + 8. What is m(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llltlltll. Give prob of sequence tlll.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34\/219 or 0?\nAnswer: 34\/219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(16*s**4 - 8*s**4 + 6 - 10*s**4 - 3*s**2) + (2*s**3 - 3*s + 3*s)*(-3*s + 33*s + 64*s) - s**4 - 2*s**4 + 2*s**4.\nAnswer: 191*s**4 + 6*s**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34\/21 + 46\/21. Factor 0 + 0*x - 2\/7*x**4 + 6\/7*x**2 - a*x**3.\nAnswer: -2*x**2*(x - 1)*(x + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -2*x**3\/3 + 14*x**2 - 61*x + 138. Let h be q(11). Solve 0 = -b - h + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 18. Let h be (-7)\/(-3) - 1 - 82\/246. Which is the second smallest value? (a) -17\/3 (b) w (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*j = -765*j + 6525 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*n - 12. What is the third derivative of -3*k**2 - k**n - 2*k**3 + 2*k**3 + 6*k**2 wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -100, -252, -458, -724, -1056?\n\"Answer: -s**3 - 21*s**2 - 82*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, d: 2, o: 1, w: 4, i: 5}. What is prob of picking 2 w?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 126 - 156. Let a(j) = j + 53. Is a(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 15*c**2 + 14*c + 11. Let b be h(-16). Suppose 5*u = -5 - 0, -5*y - 2*u = 12. Calculate the common denominator of 18\/11 and y\/(-3) - b\/(-12).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-6))\/(((-220)\/180)\/(-11)). Let i(l) = 5*l - 10 + l**2 + 6*l + 0*l. Let w be i(k). Which is greater: -4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((132\/220)\/((-63)\/60))\/((-8)\/6)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/2)\/((-10)\/140). Calculate the greatest common factor of m and 784.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12790490 or 12790566?\nAnswer: 12790490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5 + (sqrt(832) - (0 + sqrt(832))) + 4*(sqrt(832) + 1 - sqrt(832)) + sqrt(832) + (-1*sqrt(832) - sqrt(832)) + -3 + 2)**2 + 1.\nAnswer: 80*sqrt(13) + 858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yoz when three letters picked without replacement from {u: 3, o: 1, y: 1, z: 3, d: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, w: 2, h: 1, z: 1, c: 1, e: 1}. Give prob of picking 2 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/53 + -1051\/159. Let p(d) = -d**2 + d + 6. Let t be p(6). Calculate the common denominator of b and ((-1)\/(-14))\/(1\/t).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 156*u**3 - 5*u + 4*u + 2*u.\nAnswer: -156*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5 + 5*d**2 + 0*d**3 + d**3 + 2*d + 0*d**3. Let v = 2076 + -2081. Determine t(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684)*-1*3 - (-1*sqrt(684) + sqrt(684) + 2 - sqrt(684))) + -5 + sqrt(2299) + (sqrt(2299) - (sqrt(2299) - (sqrt(2299) + -1))) + 2)**2.\nAnswer: -120*sqrt(19) + 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -48aa7 + 76?\nAnswer: -48a31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*z - 4*c, 165*z - 169*z - 3*c + 7 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66990 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 5*d**5\/12 - d**4\/12 - d**3\/3 - 16*d**2 - 5*d. Let m(n) be the first derivative of c(n). What is the units digit of m(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19979039 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2. Let u(n) be the second derivative of -n**3\/3 + 10*n. Give f(u(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -36*y**4 + 5*y**3 - 5*y**2 - 7*y. Let i(x) = 54*x**4 - 7*x**3 + 7*x**2 + 10*x. Let j(v) = 5*i(v) + 7*l(v). Find the second derivative of j(g) wrt g.\nAnswer: 216*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 799397 and 186?\nAnswer: 4796382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-72 - -4) + -13 + (-1 - (10 - -4)).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -19, -16, -13, -10, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/3)\/(177\/9). Let j = 51\/236 - v. Let w be -3 + 8\/(-14) + 75\/21. Which is the closest to -1? (a) j (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11121020102 - -12?\nAnswer: -11121020020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**3 - 42*z - 7*z**3 + 16*z to h*z**2 + y*z**3 + o + n*z and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -c + 11, 7*i - 54 = -3*c + 5*i. What is the remainder when c is divided by 426\/27 + (-2)\/(-9)*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 222456.2m?\nAnswer: 222456200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 2:12 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 + 1801*u + 9*u**3 - 11*u**3 - 1796*u to the form y*u**2 + n*u + a + l*u**3 and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -20. Let i = j + -19. Does 17 divide (-204)\/i*(12\/2 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*f**3*t**5 - 23887*f**3*t**2 - 5*f**3*t - 122415*t wrt t.\nAnswer: 400*f**3*t**3 - 47774*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2801499 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78 - 78.00264. What is i rounded to four decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.2, 1848\/31, -3\/4, -0.4 in ascending order.\nAnswer: -3\/4, -0.4, 0.2, 5, 1848\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 674 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2855321 and 2315?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express j**3 + j**3 + j**3 + 11 - 10 as m*j + p + i*j**3 + a*j**2 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 227347484?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 5, 2\/77, -2, 1, -40?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 11551?\nAnswer: 11548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 p when two letters picked without replacement from {f: 4, g: 4, p: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 - (-8 - (-1 + 0))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.057 - -0.043. Let g = -0.3 - -0.2. Which is the nearest to g? (a) j (b) 1\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41279\/11 - 3754. What is the common denominator of -12\/25 and m?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -475375370 + -24.6986?\nAnswer: -475375394.6986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**5 + 9*p**4 + 3*p**3 - 21*p**2 + 12 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(3))\/(sqrt(20)\/(sqrt(15)\/sqrt(3))).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -3713 and -3709 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1563 - -1563. Let f(c) be the second derivative of 13*c + 0*c**3 + 4*c**2 + 11\/20*c**5 + 0 + d*c**4. What is the derivative of f(u) wrt u?\nAnswer: 33*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2015*u + 6815*u + 112402 = 11602 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 34\/5 of a gram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - -4. Let b = n - 10.00192. What is b rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 352, 795, 1512, 2485, 3696?\nAnswer: 5127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -73*r - 31. Let a be c(-12). Suppose -2*x = -h - 132, -4*x + 199 = 5*h - 51. Calculate the greatest common divisor of a and x.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, g: 6, v: 4}. Give prob of sequence vx.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4479 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010010111101 + -101101101111?\nAnswer: -10000000101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 157, -3\/5, -0.0446, -1\/53 in decreasing order.\nAnswer: 157, -1\/53, -0.0446, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - 17 = -5*v + 26*s, -3*v + 3*s = -12. Let a = 375 + -374.849. Let b = -0.051 + a. Put -1, v, b in increasing order.\nAnswer: -1, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9297632, 18595269, 27892920, 37190591, 46488288?\nAnswer: 55786017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -176*i + 188*i + 60 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + q**2 + 0*q**2)*(-4*q + 2*q + 3*q) + 5*q + 2*q**3 - 5*q + (-5 + 5 - 2*q**2)*(2*q - 4*q + 3*q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/5*-2)\/((-1989)\/(-7956)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.66 less than 1.94?\nAnswer: -46.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**2 - 5*o. Let j(d) = -d**2 + d + 6. Let u(c) = c**2 - c - 5. Let x(t) = -5*j(t) - 6*u(t). Give m(a) + 4*x(a).\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -3 + 0*r + 3\/2*r**2 + 0*r**3 + 5\/24*r**4. Let w(u) be the second derivative of n(u). Let t(k) = k. Give w(t(h)).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/28? (a) 65 (b) -1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vaqg when four letters picked without replacement from vvgvaqggvv.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -575, -0.3, 6.65, 0.2, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**3\/3 - 3*z**2\/2 + z + 1. Let f be p(4). Suppose 3*o = f*o - 40. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*l = 15, 0*l - 5*l = 2*s + 15. Suppose -8*p + 3*p = s. Solve -4*h - 14 = 2*j - p*h, -h = 2*j + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 11:46 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372442876?\nAnswer: 2, 13, 550951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 x when two letters picked without replacement from {m: 1, s: 2, x: 1, f: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 - w - 2. Let i(o) = -2*o**2 - 2*o - 3. Suppose c = 2*a + 1, 2*a + 3*c + 7 = 2*c. Determine a*i(b) + 3*g(b).\nAnswer: -2*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5247 = 15*x + 4*x + 5266. Which is the second smallest value? (a) -2\/11 (b) 18\/37 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 11) to base 16.\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*h**2*k*w - 5*h**2*k - 140*h**2*w**2 - 2189*h**2*w + 1196*h*k*w**2 + 13*h*w**2 - 8*h*w + 1 wrt w.\nAnswer: -280*h**2 + 2392*h*k + 26*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 r when two letters picked without replacement from uuuuqrurrruq.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 155*m - 160*m. What is the least common multiple of 12 and 8\/(-8)*-29 - 3*m?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v**3 + v**3 + 32*v**3 - 11*v**3 - 13*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 23375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**3 + 22*r**2 + 25*r - 1. What is l(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16254 and 20.\nAnswer: 162540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c. Let w be g(-7). Suppose 3*x = 2*k + k + 33, -4*k = 0. Suppose -w - x = 3*p. Put -0.4, p, -2\/19 in ascending order.\nAnswer: p, -0.4, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (0 - 1) + 0. Let y = -12648 + 12655. Solve -y*j = -b*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, x: 7, u: 1, n: 4, z: 2}. What is prob of picking 2 z, 1 x, and 1 j?\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d*u*y + 4*d*u + 5373*d*y - 2*d + 334616*u*y + y - 1 wrt d?\nAnswer: -u*y + 4*u + 5373*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0 = -2. Suppose -3*s = 4 - i. Let j be -3*(-5)\/15 - 3\/(-1). Sort s, j, 9 in decreasing order.\nAnswer: 9, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 1\/7, -1, -7, 1\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sossncsossusua. What is prob of sequence scs?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 1 = -36 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 15 = -1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -31, 10.94, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 978661294 and -511.\nAnswer: 978660783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 291 and -19086.\nAnswer: -18795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 16)*(0*n + 3*n + n) + 1387 - 1387 + 24*n.\nAnswer: 76*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193920?\nAnswer: 2, 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/429 and 1\/143?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -13.46. Let b = -0.46 - o. Sort -3, -6\/13, 0.1, b in decreasing order.\nAnswer: 0.1, b, -6\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97 + 111. Suppose -89 = -q*a + 9. Solve 2*u - s = -2 - a, 4*u - 3*s + 19 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 9*f = -8*f - 3, -3*i - 5*f - 13 = 0. Sort 6, i, 0 in increasing order.\nAnswer: 0, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -5*u + 5. Let b(y) = y**3 - 7*y**2 - 8*y + 3. Let k be b(8). Solve u = -w, 0 = k*d - 4*w - 0*w - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2229, 3, 0.3, -1\/5, 0.2, -3 in decreasing order.\nAnswer: 3, 0.3, 0.2, -1\/5, -3, -2229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/(-18 + 15) - -14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*s = 356*s - 3839 - 3850 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -0.049, 0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 3*n + 1 - 22, 0 = -2*c + 1368*n - 1373*n - 19 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81435.\nAnswer: 3, 5, 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2. Let p = -348 - -837. Let g(f) = -489*f - 3*f**2 + p*f - 53*f**2. Calculate o(g(j)).\nAnswer: 3136*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 50999198231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19.8 - 6.2. Let m = 43.4 + a. Let q = -61 + m. What is the third biggest value in 0.02, q, -0.09?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17f (base 16) to base 2.\nAnswer: 101111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4760 and 211372.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 73316 to the power of 1\/2, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 10, 19?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61158438*a - 61158480*a + 3 - 3.\nAnswer: -42*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 80*g**2 - 4*g - 2. Let a(m) = 81*m**2 - 3*m - 1. Calculate -4*a(y) + 3*z(y).\nAnswer: -84*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 10 = -0*h + 5*h, 8 = -q + 4*h. Which is smaller: q or 1\/21?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 155852127?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2.2. Which is the closest to 0.1? (a) -5 (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 8:30 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b78b5 (base 13) to base 12.\nAnswer: 439398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -805*j = -808*j - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((0*4\/8)\/(-2))\/(147\/(-21)))\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1090*f - 4402*f - 83604 + 41486 = 70490 for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 16*h**2 - 13*h - 18. Let w be c(15). Let t(z) = z**2 + 5*z - 17. Let k be t(w). What is the greatest common divisor of 17 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 10*w. Let d(f) = 138*f - 216. Let z(r) = -5*r + 8. Let h(v) = -2*d(v) - 54*z(v). Give h(k(s)).\nAnswer: -60*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*s = 3*g + 123*s + 11, 2*s = -3*g + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 + -56. Let n be 3*(-2)\/q*-10. Solve 13 = 3*f - p, -4*p + 2 = -n*f + 14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -9*y. Let n = y + 26. Calculate the remainder when n is divided by 12 - ((0 - -2) + 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j**2 - j**2 + 1 + 2*j**2 + 3*j**2 - 5*j. Let q be y(-4). Let d(v) = 23*v**2 - 3*v - 3. Is d(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3 - 6 + 4*m**2 + 3 - 8*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 16 = z, -5*z + 2*c + 21 = -59. What is the lowest common multiple of z and (-12)\/54 + (-184)\/(-18)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/6, -3.81, 8\/89.\nAnswer: -3.81, -3, 8\/89, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-5) + -2)\/(14\/(-35))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9336 divided by -4?\nAnswer: 2334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697 is divided by 65?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 733*z**2 - 732*z**2 + 466 + z - z in the form p*z + u + o*z**2 and give u.\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*w - 50010 = 0, 4*w - 221735 - 28245 = -5*f. What is f rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 581532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 3*d**2 - 3*d - 10. Let m be n(-5). Suppose 5*w - m = 4*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/((-120)\/27) + (-3)\/6. What is the smallest value in -32, i, 2\/13, -5?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 + 3*p + 76 - 2*p in the form r*p + a and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40365)\/78975)\/((-2)\/30).\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50\/7? (a) -66 (b) -0.5 (c) -36\/13 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8122 - 3624. Is k a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2735, -1\/3, 0.036?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 92 + 748. Let r be f\/(-56) + 1\/4. Let v(h) = -h**2 + 4*h - 3. What is v(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v + v - v)*(4 + 1 - 4 + (64 + 4 - 158)*(-3 + 0 + 2))*(-2*v + 2*v + 2*v) as s*v + z + m*v**2 and give m.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1767605, 1767585, 1767565, 1767545?\nAnswer: 1767525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9831 and 4176?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2323, 2322, 2323, 2326, 2331, 2338, 2347?\n\"Answer: n**2 - 4*n + 2326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 103*r + 4. Let j(p) = 2*p**2 - 88*p + 4. Give 3*j(y) - 4*w(y).\nAnswer: 2*y**2 + 148*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -16 - (-1 - -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211 = 6*r + 199. Let o(y) = 6*y - 11. Suppose -2*g = -3*g + 7. Calculate the least common multiple of o(r) and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 10*m = -9*m + 6, 3*g - 6 = -3*m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 928 a factor of 734434093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from muumlluuulmlu. What is prob of sequence uml?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**3*u - 106*f**3 + 807*u**2 wrt u?\nAnswer: -2*f**3 + 1614*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/(-45))\/(9\/(-81)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4616096 and 98669052?\nAnswer: 789352416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -152 - 5443?\nAnswer: -5605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 2429*j**5\/60 + 2*j**2 - 2798*j - 1. Let c(r) = -3*r**2. Calculate i(c(h)).\nAnswer: 21861*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008557322 rounded to five decimal places?\nAnswer: 0.00856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k. Let u(l) = 10*l. Let h(o) = 14*s(o) + 4*u(o). Let g(x) = 5*x + 2*x + 5*x - 6*x. Determine g(h(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 11:00 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14\/((-48)\/(456\/19))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 5*k + 1. Let b be c(4). Let p(g) = g - 2*g - b - 4 + 4*g. Let y be p(10). Calculate the greatest common divisor of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 542.3 - 542.9. What is the nearest to l in -12, -2\/73, 0.3, 5?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7163837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(2448) - sqrt(2448)*-1)**2 + 3 - (sqrt(2448) + (-1*sqrt(2448) + 3)**2)) + -5*(sqrt(2448) + -1 + 2 + -1*(sqrt(2448) + 1))).\nAnswer: 300*sqrt(17) + 36690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**3\/3 + 17*r**2\/2 - 23. Let b(v) = -16*v. Calculate 2*a(q) + 3*b(q).\nAnswer: -2*q**2 - 14*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 77 - 63 - (2 + 0)*1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1435 - -1?\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -54*y - 83*y**3 - 109 + 27\/4*y**4 + 2*y**6 + 63\/5*y**5 - 279\/2*y**2. What is a in o(a) = 0?\nAnswer: -3, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69 or 480\/7?\nAnswer: 480\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*y = 42 - 42. Let j be ((-3)\/3)\/(2\/6). Let r(k) = k + 1. Let d be r(0). Sort d, y, j in descending order.\nAnswer: d, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0661 minus 0.29?\nAnswer: -0.3561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10790 divided by -83.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 34714863, 34714856, 34714847, 34714836, 34714823?\n\"Answer: -x**2 - 4*x + 34714868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 244071 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 6*n - 2*s - 67468 = 0, 607348 = 9*n - s. What are the prime factors of n?\nAnswer: 2, 16871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**5\/15 - 55*x**4\/6 + 36*x**3 - 2*x**2 + 556*x. Factor n(g).\nAnswer: 4*(g - 54)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 1609 + 30 + 3623 + 2310)*(4 + 1 - 4) to p + t*c and give p.\nAnswer: 7572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 + 54. Suppose -5*w = i*w - 2768. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*y + 858 + 2044 - 372 = 286 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 298732, 298733, 298734, 298735, 298736, 298737?\nAnswer: 298738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-21913825)\/5037)\/((-4)\/(-18)). Let b = s - -19578. Find the common denominator of b and 21\/20.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91*z + 95*z + 2*s + 14, -26 = 4*z - 2*s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -7*o**5\/60 + o**4\/6 - 2*o**3\/3 - 2*o**2. Let f(z) = z**2 - z + 1. Determine 4*f(x) + l(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1806654887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/15*(-60)\/24?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -6*c. Suppose c*u = -u. Suppose u*h = 3*h - 138. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.7 (b) -4\/3 (c) -372 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 4*j + 2. Let f(w) = -w**2 + 5*w - 4. Let q be f(2). Calculate the smallest common multiple of g(q) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 276 - 2480\/9. What is the closest to -1 in k, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.5 + 4. Let j = 0.33 + -0.13. Let x = j - g. Which is the nearest to 2\/3? (a) x (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38112290 to the nearest integer?\nAnswer: 6174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*m + 0*m - 15 = 0, -2*x - 25 = -3*m. Let j = x + 75. Does 17 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -a + 4*o, -17 = -0*a - 2*a + 3*o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b**3 - 10*b**2 - 20*b + 13. Let s(t) = -16*t**3 + 51*t**2 + 98*t - 66. Let y(q) = -11*d(q) - 2*s(q). What is the tens digit of y(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-124)\/(-434) - (1 + (-87)\/63 + 0). Which is bigger: m or 841?\nAnswer: 841","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxzmmlmlxllzlmlxxzz. What is prob of sequence lml?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/249708 and -29\/1498248.\nAnswer: 1498248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/10)\/(1\/(-5)). Let j(q) = 2*q - 2. Let f(y) = -1. Let t(o) = u*f(o) + j(o). What is t(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28420 (base 9) in base 16?\nAnswer: 4b60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*x**4 + 118*x**2 + 26*x**3 + 6*x**3 + 92*x**2 + 16*x**3 wrt x.\nAnswer: 96*x + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**3 - 21*d + 2*d**4 + 4*d - 3*d + 5 - d**2 + 36*d in the form a*d + i*d**2 + q + b*d**3 + w*d**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 194 - 129. Suppose -5*k + 10*k - h = 0. Suppose 0 = k*w - 8*w + 425. What is w rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -15. Suppose -3*q + 27 = 4*s, 2*q - 6*q + 20 = v. Suppose -5*t - 5*z = -70, 0 = 4*t - s*z - 36 - 6. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(16) - sqrt(64)\/(sqrt(36) - sqrt(4))) + sqrt(16) - (sqrt(256) - sqrt(256)*3 - sqrt(16)))\/((5*(sqrt(504) - sqrt(56)))\/(sqrt(14)\/sqrt(2)*-3)).\nAnswer: -63*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q + 53. Let p be ((-2)\/(-3))\/(2\/33). Let x = p - 3. What is the remainder when w(-19) is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*n - 2 = 0, -11 = -i - 3*n - 2*n. Let u(o) = -o**2 + 6*o + 2. Let z be u(i). Factor 0 - 2\/7*p - 18\/7*p**3 - z*p**4 - 4\/7*p**5 - 10\/7*p**2.\nAnswer: -2*p*(p + 1)**3*(2*p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 125*z - 6. Let i(g) = 146*g - 7. Let a(o) = -6*i(o) + 7*r(o). Let l(f) = 8*f. What is 60*a(m) + 6*l(m)?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + (0 - -1) + (2 - 1). Let j be 1*d\/3 - (-26)\/6. Solve -5*z = 4*f + 17, -j*z = -3*f + z - 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5237*o**2 + 4*o - 4. Let u be s(1). Suppose 12*k + 1901 = u. Let d = 398 - k. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3951?\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*d + 5*f + 5, -f = -3*d + 24. Let n(r) = 0*r + 8*r + 5*r - 195 - 55. Calculate the smallest common multiple of n(20) and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-10 + 9)\/(4\/(-100)) is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46375 is divided by 11545?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262*k**2 + 59*k**2 + 50*k**2 + 155*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4483528 to the power of 1\/2, to the nearest integer?\nAnswer: 2117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -33, -11 in increasing order.\nAnswer: -33, -11, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, q: 3}. Give prob of picking 2 o.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 791*g + 23554 - 23554 - 78*g - 4*g.\nAnswer: 709*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.77275 - 0.22725. Which is the closest to 0.4? (a) x (b) 9 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.056 + -112.256. Let u = -123 - g. What is u rounded to 0 decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1218585 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*q + 83 = -42, -4*y - 128 = 4*q. Is (-8442)\/(-22) + y\/(-99) a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1387 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1377 = -552*p + 471*p for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24*(-3*2\/3 - (-6 + (-16)\/(-12)))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, d: 2, o: 1, h: 2, w: 1, y: 2}. What is prob of picking 1 h and 1 w?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -3\/13 (c) 0 (d) -0.5 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/11)\/v*v**(-3\/5))**(-2\/7)*((v\/v**(-2\/25))\/v)\/(v**(-2\/15)\/v*v*v)*(v**(2\/3))**(-2\/25) assuming v is positive.\nAnswer: v**(-837\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*j = 18, -5*z - 6*j = -j - 35. Is ((-85714)\/(-85))\/(2\/z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 20 = -5*p + 7*o, 4 = -5*p - o. Solve p = 2*i + 2*d - 3*d - 5, 0 = 4*i + 4*d + 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j**2. Let w(v) = -143*v. Give w(z(x)).\nAnswer: -715*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (8 - -1) - -9\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 11:07 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/5 (b) 0.16 (c) -2267 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 a, and 1 i when three letters picked without replacement from wawwwawawiwhihahw.\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 18*t - 16 = 0, -2*t = 5*o - 17. Solve 2*a = 4*f - 6, a + 3*a - 40 = -o*f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y - 36*y - 306 = 7*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - w - 3 = -1, 4*u = 4*w. Suppose 2 = -o - 4*n, -4*n = 5*o - u*n - 80. What is the second derivative of -o*t**5 + 20*t**5 + 2*t + 3*t wrt t?\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -0.4 (c) 1\/2 (d) 5 (e) -11\/10 (f) -2\/11 (g) -501\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -y**5\/20 - 5*y**4\/4 - 25*y**3\/2 + 89*y**2. Factor z(b).\nAnswer: -3*(b + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-909)\/36*-12*1. Suppose 3*c + v = 6*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**7\/35 + 2*a**5\/15 + a**2 + 16*a. Let c(h) be the first derivative of t(h). Find the third derivative of c(i) wrt i.\nAnswer: -144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2\/5 (b) 0.5 (c) 0 (d) -860\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 5*k**2 + 6*k + 6. Let j(a) = 4*a**2 - 5*a - 5. Calculate -6*j(c) - 5*y(c).\nAnswer: -5*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.005 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/2 (b) 1 (c) -8 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-510)\/(-153))\/(20\/6)*-296*(-9)\/36\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*l = 8*l - 53, 4*l = -12. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 15 - 36 = 0. Solve -a*r = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 7:32 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12148 = 76*d - 11996 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 f when four letters picked without replacement from sfhwwwnnvnsvvs.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + 2*sqrt(143) - sqrt(143))*3 - sqrt(143))\/(5*(sqrt(11) + 3*sqrt(11))) + 3*((sqrt(13) + 0)*2 + (-1 + sqrt(13) + 0)**2 + sqrt(13)).\nAnswer: 13*sqrt(13)\/4 + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11589582.\nAnswer: 2, 3, 19, 101663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 240*l - 4283 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2488 and 9952?\nAnswer: 9952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.96 + 1.0284. Let i = 1.0684 - f. Let h = -7 - -11. Which is the third biggest value? (a) h (b) 0.5 (c) -2 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -7 - 1) + -3 + 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.053, 311, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1031244.\nAnswer: 2, 3, 19, 4523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**3\/6 + 15*u**2\/2 - 2*u. Let p be z(12). Suppose -2*m - p*f + 5 + 15 = 0, 2*f = -m + 9. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -131 (b) 0.5 (c) -1.6 (d) -2\/9 (e) 25 (f) 4 (g) -2\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -2, 2, -1\/6, 8.74, 3?\nAnswer: 8.74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/40*((-2)\/(-2))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.88 to zero dps.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**5\/12 - 35*i**4\/6 - 490*i**3\/3 + 23*i**2 - 3*i. Factor t(y).\nAnswer: -5*(y + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3131013233 + 12332?\nAnswer: -3131000301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*x - 3007 + 3007 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 4. Let g(d) = 46*d. Let i be g(1). Suppose 39 = 2*p + 3*w, -w = -q*p - 3*w + i. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2380, 2404, 2446, 2512, 2608, 2740?\nAnswer: 2914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1557 divided by -9?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -4 - (9 + (-28 - 3) + 4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 625 - 601. Suppose 4*h = 3*h + 5*z - 20, 3*h + z - 4 = 0. Suppose 4*l - 5*a - 140 = h, r = l - 7*a + 3*a. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 - -39. Is g greater than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 250491 to the nearest integer?\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.9856171km?\nAnswer: 985.6171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -293174 > -293173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*c + 16 = 0, 0*y = 3*y - 2*c - 24. Let t = y - -14. What is the lowest common multiple of t and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 1801*j**4\/12 + j**3\/3 - 5*j**2 - j. Let a be l(6). Let h = -92538 + a. Round h to the nearest 1000.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0456 - -0.9684. Let f = v + -1. Round f to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-1*(-2)\/2). Let c be (5\/10)\/(r\/6). Suppose 0 = 4*w + f + 1, -4 = w + c*f - 1. Solve -d = 3 - w for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**4 + 652*h**3 - 24056*h**2 = 0.\nAnswer: -194, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9796.315 millennia?\nAnswer: 97963.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -555*x + 550*x = -3620. Let m = x + -625. What is the highest common factor of m and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5481*m - 28594 + 88536 = -542*m - 33899 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43731, -175009, -393829, -700191, -1094095, -1575541?\nAnswer: -2144529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + -1 + sqrt(20)\/(1*sqrt(4)))*-3)**2 + ((sqrt(165)*2)\/sqrt(3))\/(sqrt(99)\/(sqrt(18)\/sqrt(2))).\nAnswer: -178*sqrt(5) + 4509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2741 + 5304. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 61*t**2 + 117*t - 57. Let l be h(-59). Solve 4*w + l*f = -2, -3*f + 3 = w - 6*f for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - -49237 - (19 + -14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 15*q - 18. Suppose m + 2*x - 98 = 69, q*m - 515 = x. Does 35 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -777907187\/393968190 + -12\/2264185. Let g = 33826\/4107705 - 10\/28329. Let x = g + l. Find the common denominator of x and 23\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 4 + 5)*(2*t**2 - t**2 + 0*t**2) + 315 + 69*t**2 - 315)*(-5955 + 5955 + 71*t**2).\nAnswer: 4686*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**8\/168 + 316*b**7\/105 - 7*b**5\/15 - b**4\/24 - 3395*b**2. What is the third derivative of k(q) wrt q?\nAnswer: -120*q**2 + 15168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2439)\/(-77) + 1 + -2. Let f = 495\/14 - s. Let l = 1811 - 36261\/20. What is the common denominator of l and f?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 15378\/(-3510)) + (-30)\/1170 - 8\/(-18)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142322081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*j + 315*j + 332*j.\nAnswer: 630*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, k: 2, j: 2, a: 1, h: 1, c: 2}. What is prob of picking 1 c and 2 j?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7527*i**2 - 2*i + 27986 wrt i?\nAnswer: 15054*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -738 + 740. Let p(c) be the first derivative of 0*c**3 + b + 0*c + 3\/4*c**4 - 3\/2*c**2. Solve p(u) = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)\/(t\/(t\/(t**6\/t))))\/(t\/t**1)**26 assuming t is positive.\nAnswer: t**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -0.421, -241.96 in ascending order.\nAnswer: -241.96, -0.421, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 209 and 495.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c + 8*c = 2*v - 37, -4*c + 5*v + 80 = 0. Let p(r) be the first derivative of c + 3\/2*r**2 + 0*r. Let u(k) = -11*k**2. Determine p(u(o)).\nAnswer: -33*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -3 (c) -51 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 3*q**5\/5 - 63*q**4\/5 + 384*q**3\/5 - 1032*q**2\/5 + 1296*q\/5 - 624\/5 = 0.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7452 and 378?\nAnswer: 52164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*i = 600 + 138 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l - 9. Let p be (1\/(-4))\/(4 - l). Which is bigger: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g + 12*g - 3*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -l**5\/20 - 2*l**3\/3 - 2. Let p(y) be the third derivative of k(y). Is 15 a factor of p(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/4))**41\/((b\/(b\/(b*b**(-2))))\/b*b*b*(b\/(b**(-3)*b))\/b))**(-1\/19) assuming b is positive.\nAnswer: b**(-33\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 = -6*o + 4*o. Let i = 22 - 25. Sort i, -2\/15, -2, o in decreasing order.\nAnswer: -2\/15, -2, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13162261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/56*-20*6\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4\/16 - 1)*26\/72 and -29\/33.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -3. Find the third derivative of 0*b**4 + 6*b**j + 6*b**4 - 2*b**4 - 2*b**4 wrt b.\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1088*k - 854 with respect to k.\nAnswer: 1088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -8. Let q(v) = 0*v**2 + 0*v**2 + 2*v**k. Let b(g) be the third derivative of -g**5\/10 + 10*g**2 + 1. What is q(b(z))?\nAnswer: 72*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = -5*f + 4*w + 15, -6 = -2*f - 3*w. Suppose f*x + 2*x - 15 = 5*q, -5*x - q = -27. Suppose 0 = -d + x - 0. Solve 3*s - d*s = 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56403382 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 11*z**2 + 17 - 12*z**2 - 19*z + 22*z. Let x be g(5). Suppose 9*i = 16*i - x. Solve -p - 4 = -i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - (-11)\/(-3)) + (-7520)\/(-12). Let j = p - 244. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c. Suppose -3*p + 5*z + 4 = -p, 4*p - 4*z - 32 = c. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*i - 1803 + 1933 = -16*i. Solve i*z - 2*a + 25 = 0, 3*a - 4 - 20 = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 63*t**2 - 7*t + 4. Does 3 divide u(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114913 divided by 14.\nAnswer: 114913\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3424 and 868576.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/74*(-29119)\/787\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -21. Let a = 76 - 43. Let n = a + -19. What is the remainder when n is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, -106, -1\/10, 7, -2?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -206*q**2 - 6*q + 61. Calculate t(0).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3335 and 39332990.\nAnswer: 3335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5641289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1324587400?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 4232?\nAnswer: -4230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -125 - -1495\/12. What is the common denominator of -57\/16 and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.59717 * 0.6.\nAnswer: -1.558302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-12))\/(1*1\/3*-5)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (90\/28 + -3)*(23 + -19). Let o(c) be the first derivative of -2\/35*c**5 + 4\/7*c**2 + q*c - 2\/7*c**4 + 24 - 4\/21*c**3. Suppose o(n) = 0. What is n?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of f**3\/3 + 1. Let w(j) = 30*j**2 - 25*j. Let h(u) = -5*u**2 + 4*u. Let k(v) = 25*h(v) + 4*w(v). Give k(d(o)).\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 10:25 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 9*d**4 - 28*d**3 + 25*d**2\/2 - 2*d + 1393. Factor s(j).\nAnswer: (j - 2)*(6*j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**5\/150 + w**4\/30 - w**3\/15 - 7*w**2. What is y in b(y) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-822)\/(-7535)*(-1)\/15. Which is the second biggest value? (a) -7 (b) p (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b**3 - b**2 + b. Let x be a(2). Suppose 8 = -3*d + x. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133703 (base 8) to base 3\nAnswer: -2101112100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l**4 + l**4 + 7*l**4 + 209*l + 4*l**3 - 209*l - 1826 wrt l.\nAnswer: 28*l**3 + 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h + h + 4*h**4)*(0 - 2 + 0) + (9*h**3 + 59*h**2 - 59*h**2)*(10 + 13*h - 10) in the form k*h + g + r*h**4 + l*h**2 + d*h**3 and give r.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 18*x**2 + 1. Let l = 11 - 12. Let w be o(l). Let m = -15 + w. Solve -m*s + 31 = -5*b, 0*s - 20 = -2*s + 4*b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.6 (b) 7 (c) -2\/17 (d) -5 (e) -0.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 6*q + 353 = v, -3*v + 80 = -q. Let g = q + 93. Solve g*a - 18 = 2*s, 2*a + 21 = -3*s - 2*s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.85 and 0.1071653.\nAnswer: 5.9571653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5 (b) 13 (c) -10 (d) -52 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 4*j + 672772 = 0, -1030090 + 189130 = 5*f - 4*j. Suppose 0 = -4*h - 64953 + 325705. Let q = h + f. What is q rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (185 + -341)*(-12)\/(-160)*10\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5191517, -5191515, -5191513, -5191511?\nAnswer: -5191509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/15? (a) 2\/9 (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10357610 + -17?\nAnswer: 10357571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -497223, -995290, -1493369, -1991466, -2489587, -2987738, -3485925, -3984154?\nAnswer: -4482431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -3. Let c be ((-222)\/259 + (-18)\/(-21))*-1. Sort 2, b, c, 1 in decreasing order.\nAnswer: 2, 1, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - 147 - 119 + 15*w - 105*w - 35*w.\nAnswer: -125*w - 309","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1413 + 1404 - (13 + 0)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 749131144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v. Let q(g) = 31*g. Calculate q(p(d)).\nAnswer: -31*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/2 + (-39)\/6. Let n(d) = -3*d + 0*d - 2*d**2 + 13 + d**2. Let i be n(x). What is the greatest common divisor of 6 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9351473 litres?\nAnswer: 935.1473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 5, 10, -1 in descending order.\nAnswer: 10, 5, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is a2 (base 12) in base 2?\nAnswer: 1111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 336 and 60219600?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 533022 and 245.\nAnswer: 2665110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 0.080424.\nAnswer: 0.562968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 19*b**3\/6 + 15*b. Let q(h) = -4*h. What is x(q(j))?\nAnswer: -76*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (846*9\/1296)\/((2\/(-8))\/((-3)\/(-9))).\nAnswer: -47\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3619\/279 + 254\/31. Let z = r - -5. Sort z, 0.5, -0.3 in descending order.\nAnswer: 0.5, z, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**4\/24 - 3*y**3\/2 + 2*y**2. Let p = -11 + 0. Let a be k(p). Solve i - a*r = 2*i - 4, -i = -4*r + 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/3*((-39)\/(-6) - 2). Sort o, 11, -3.\nAnswer: -3, o, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*p, -3*m = 3*p - 54. Let k = 18 - m. Suppose k = -n - 2*j + 30, -2*n - 3*n + 141 = j. Is 14 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (-12 + 50)) + 23.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*x = -2574 - 2951 + 1247 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 - 11*j - 2. Let b be m(6). Let k = 2 + -2. Solve c - 7 = 3*u, c = b*u + 10 - k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 282 = -8*k - 8*b, 0 = 4*k + 17*b - 19*b + 144 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, e: 1, r: 13, t: 2, x: 2, f: 1}. Give prob of sequence tfcx.\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 2*l - 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*w - 4940, -p + 7*w + 986 = 6*w. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 4\/7*o**3 - 3\/70*o**5 + 3\/28*o**4 + 0 + 6\/7*o**2 + 8*o - 1\/70*o**6. Let k(f) = 0. Calculate f.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r\/(r*r\/r**(-2\/5))*r)**25\/(r*r\/(r*(r**(-1\/13)*r*r)\/r)*r)**17)**(-5\/11) assuming r is positive.\nAnswer: r**(-3035\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 48, 31, 14, -3, -20?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 16 = 10. Solve -5*u + n + i = -2*u, 0 = 3*u + 4*n + 19 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 8*v**2 - 3*v + 7*v - 9*v**2 + (2*v + 0*v + 0*v)*(10*v + 0*v - v).\nAnswer: 17*v**2 + 4*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 - 64.892. What is x rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 210 + -103. Let i = s - 107.00000031. What is i rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 11, e: 5}. Give prob of picking 2 q and 1 e.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 185, 135, 1, -259, -687, -1325, -2215, -3399?\n\"Answer: -7*g**3 - g + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*r - 2*y, -5*r + 2*y + 20 = -0*r. Let a(n) = -3 + 0*n + r*n + 1 + n**3. What is the remainder when a(2) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 12:55 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/2300 and 13\/460?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2.9 (b) 66.725 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**3 - 190*v**2 + 598*v + 120. Give h(60).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2288999*0.5.\nAnswer: 1144499.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76925789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3635684.\nAnswer: 2, 13, 139, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -929\/2 - -456. Let z = -155 - -76. Let a = -74 - z. Put o, a, 3 in decreasing order.\nAnswer: a, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -2, 0.1, 0.5, -2\/123?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3420100549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15486666 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10882 is divided by 2719.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18 - 39 + 23 - 24*t + (-1 + 2 + 1)*(3*t - t - t)*(-2 + 7 + 1).\nAnswer: -12*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (2 - 9) - (-15 + 9) - 26\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 2*y**2 + y**2)*(-y - y**3 + y) + y**2 - y**2 - y**5 + (-2 - 1 + 4)*(-26*y**5 + 17*y**5 - 11*y**5).\nAnswer: -22*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8028510517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12183 - -17806. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3022183 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 2*z - 4 + 36, -7 = -g - z. Let f(b) = -b**2 + 10*b - 15. Calculate f(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 9, m: 7}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 959*f - 8665 - 35549 - 12944 = -7290 for f.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -eb9c (base 16) to base 15\nAnswer: -12d11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 1466751?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzsztttszztzztszezt. What is prob of picking 1 e and 2 z?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 1)\/((-1)\/(-1)*-1). Suppose h = -30*n + 22*n + 1352. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1773637?\nAnswer: 1773637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -19 + (-2)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdd when three letters picked without replacement from dfrumdc.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2770*h + 1383*h + 1379*h - 1127.\nAnswer: -8*h - 1127","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 271703*j**2*y**3 + 1399*y**3 + 31 wrt j.\nAnswer: 543406*j*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 3\/5*u**3 + 3\/25*u**5 - 12\/5*u + 3\/10*u**6 + 19 - 33\/20*u**4 + 12\/5*u**2. Let k(a) = 0. What is a?\nAnswer: -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g*p**2*q**2 - 2*g*p**2*q + 11*g*p**2 - 5*g*q**2 - g*q - 3*p**2*q**3 wrt q?\nAnswer: -4*g*p**2 - 10*g - 18*p**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a - 59. Let t(y) = 4*y - 89. Let b(u) = 7*d(u) - 5*t(u). Let m be b(0). Is m\/6 - (-6)\/9 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22836*c + 96386 wrt c?\nAnswer: 22836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 4*z - 3. Let q be v(3). Let u(s) = -s**3 - s**2 - s - 2. Let x be u(q). Let p be (49\/147)\/(2\/6)*-3. Put 4, x, p in ascending order.\nAnswer: p, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/72*242144\/(-3948).\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 15*s + 18*s + 195 - 28*s + 4*s. What is the tens digit of l(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 5*p**2 + 10*p - 20. Let x be 8 + -7 + (6 - 3) + 2. What is l(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y - 2*y**2 - 14*y**3 + 30*y**3 - 9*y - 19*y**3 - 3 as d*y**3 + f + b*y + o*y**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 5 = 2*v. Let d(g) = 22*g**3 - g. Let l be d(v). Calculate the greatest common factor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2. Let o(h) = -9*h**2 + 7*h - 7*h + 66*h**2. Determine n(o(y)).\nAnswer: 6498*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22011?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 - 30.02. Let w = s - 0.18. Which is the third smallest value? (a) -2\/11 (b) 0.02 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*b**4*x + 1285811*b**4 + 2720*b*x - 78*x - 5 wrt b?\nAnswer: -240*b**2*x + 15429732*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12, 67, 160, 291?\n\"Answer: 19*x**2 - 2*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/23 (b) -1\/451 (c) 464\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 2.0551162?\nAnswer: -1.0551162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - 4\/(8\/(-6)). Let f be (-143)\/(-11) - (-3 - 2). Suppose 11*q - 2*q = f. Solve s = q*s - z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1349?\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(49)\/(sqrt(49)\/sqrt(7)*5))**2.\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 51858101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -22. Suppose -i = -10*o + 12*o. Does 7 divide 0\/o + -4 - -25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*6)\/((-21)\/(-14)). Suppose -z*m + 520 = 5*r, m - r - 2*r = 147. Calculate the greatest common factor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 3*n + 21, -5*h - 2*n = -8 - 12. Suppose l - 4 = -3*x + 22, -11 = -3*x + h*l. Solve 2*c - 25 = x*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 201 and 1139?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1381301 (base 12) in base 14?\nAnswer: -737693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -8. Let y(m) be the third derivative of -m**5\/10 + 5*m**4\/24 + m**3 + 111*m**2. Let r(d) = -d**2 + d + 1. What is z*r(q) + y(q)?\nAnswer: -2*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 8*h**3\/3 - 2*h**2 + h - 405. Let k(x) = 7*x**2 - 3*x + 1. What is -5*i(g) + 6*k(g)?\nAnswer: 2*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/4)\/(-28)*2\/7.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*u - 2. Suppose -t + 3*v = -4*t + 60, -5*t + u*v = -86. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44934*c**3 - 2*c**2 + 17551*c.\nAnswer: -269604*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 11*o - 158. Suppose 33*v = o*v + 3845. List the prime factors of v.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7626390 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opo when three letters picked without replacement from {p: 7, o: 5}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 121.\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3344 + -4142544?\nAnswer: -4150332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 161, 223, 309, 419, 553, 711?\nAnswer: 893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.11.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 22885491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - y - 1. Let r(m) = -5*m**3 - 9*m**2 - 5*m + 13. Let p(k) = -r(k) - 4*x(k). Let u be p(-7). Suppose u = -5*q + 61. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -669263 - 0?\nAnswer: -669263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2835691 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t + 4*t - 2*t. Let k(v) = -143*v**2 + 6*v + 3. Let f(c) = -333*c**2 + 14*c + 7. Let h(n) = -3*f(n) + 7*k(n). Calculate h(r(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 11001231?\nAnswer: 11001232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 366527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a + 20. Let o be u(11). Suppose 0 = 5*l + 78 - 8. Which is greater: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2549978 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29854, 58364, 86864, 115348, 143810?\nAnswer: 172244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -895 divided by -7951.\nAnswer: 895\/7951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3*-3 + 1. Let y be (0\/g)\/(2 + -4). Suppose -2*m - 20 = -4*m - 3*s, -40 = -5*m - 5*s. Solve -2*j - 10 = 0, -21 = -m*r + j - y*j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*a + 10*a - 2*m - 134 = 23*a, -4*m - 139 = -a + 43 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {j: 7, x: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 2\/17, 57.9, 1\/5, -0.066, -2\/39?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002067559182 to 7 decimal places.\nAnswer: -0.0000207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2 - 7. Let w = 3 - j. What is the second derivative of -8*k**2 - 3*k**w + 18*k**2 + 6*k wrt k?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8211 is divided by 232?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 724 (base 8) to base 15\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of -j**6\/120 - 11*j**5\/60 - 5*j**4\/12 + 17*j**2. Determine u(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (103 - 7 - 171)*(-o - 4 + 4) to t + c*o and give c.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1623, 6517, 14673, 26091, 40771?\n\"Answer: 1631*w**2 + w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4)*(-8)\/6)\/(462\/(-22))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.058 - -0.812. Let h = g + -0.97. What is the nearest to 1 in h, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -3021302133133?\nAnswer: 3021302133131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -94*g - 936. Let l be q(-10). Solve -l = -4*h - 3*k - 0*k, 3*h = k - 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*u - 201*u**2 - 84*u**2 + 91*u.\nAnswer: -285*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -649.43 - 3.\nAnswer: -652.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.19 in -1\/497, 4, 2, 0.04, -4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -257 + 259. Let j be (-14075001)\/5*f - 4\/(-10). Round j to the nearest one hundred thousand.\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 4. Suppose -4*m + 0*j = -2*j - 22, 3*m = d*j + 12. Let k = m - -4. What is the greatest common divisor of k and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 21*f**3 + 8*f**2 + 97*f + 492. Give m(-5).\nAnswer: -2418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((j**15\/j)\/j)\/j)\/j**(-10\/7)*(j*j**(3\/11))\/(j\/j**(1\/5)) assuming j is positive.\nAnswer: j**(5737\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -4*o + o. Calculate the greatest common factor of 72 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + -3*4*sqrt(65) - sqrt(65)*1*6)\/(((sqrt(125) - (sqrt(125) - (1*sqrt(125) - sqrt(125)))*5) + sqrt(125))*4).\nAnswer: 17*sqrt(13)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 1. Let p(l) = -20*l - 28. Let u(q) = p(q) - 24*v(q). Let k = -5 + 0. Let i(m) = -m**2 - 5*m + 5. Let a(t) = k*u(t) - 4*i(t). Factor a(f).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 33 + 40*o - 61*o)*(o**2 - 3*o**2 + o**2).\nAnswer: 21*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o**2 - 8*o + 24. Let y(p) = -4*p**2 + 7*p - 21. Let m(l) = 7*a(l) + 8*y(l). Let q(r) = 125*r. What is m(q(u))?\nAnswer: -62500*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 104 + -2577?\nAnswer: -2473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-3 - (25 - 1))) + (-13 - -2)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - x**2 + 3 + (16 - 5*x - 16)*(16*x - 6*x - 21*x))*(x - 2*x - x - 4).\nAnswer: -108*x**3 - 216*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 324\/1458*(-27)\/6. Suppose -2*u - 4*f - 48 = 0, 5*u + 4*f + 84 = 6*f. Let z be (-16)\/(-7)*14\/u. Which is greater: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 + -1.4. Let y = 54.985 - -0.015. Let a = -55.1 + y. What is the closest to -2 in 3, a, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**5 + 80675468*b**4 + 542377487184264*b**3 + 1215458728362008087672*b**2 - 4861841964358592765324*b + 3646382693619016817916 = 0.\nAnswer: -6722957, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -93102, -372376, -837824, -1489446, -2327242?\n\"Answer: -93087*i**2 - 13*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 - -33. Suppose w - b + 4*b = q, -b = 3*w. Calculate the common denominator of 11\/6 and w\/(-4)*(-202)\/(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1518 and 4056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 8*x**2 + 6*x + 18. Let w(l) = -l**3 + l**2 + 4. Let r(y) = t(y) - 6*w(y). Is 15 a factor of r(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*f - 23 = -17*f - 3. Which is greater: 3\/4969 or f?\nAnswer: 3\/4969","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -9*m + 80. Let l(h) = h - 1. Let i(z) = -6*l(z) - s(z). Let o be i(26). Solve -6 = -o*y + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*o**3 + o**2*z**2 + 6*o*z - 18*o - 738*z**2 - 10*z wrt o.\nAnswer: 6*o**2 + 2*o*z**2 + 6*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (k**2 + 3 - 3)*(-138*k**2 - k + 10*k + 139*k**2 + 1) in the form w + r*k**3 + t*k**4 + a*k**2 + x*k and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/28*1)\/((-9)\/(-24))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 2787097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101211104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9310.6 - 73.\nAnswer: -9383.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 6:19 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-854*(-46)\/(-805))\/(13\/((-585)\/18))?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tst when three letters picked without replacement from nmontnonotmofms.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 534*s + 1280 - 16269 = 4769 for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - -0.4. Let p = 24 - 24.2. Which is the nearest to 1? (a) -5 (b) q (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.4902336 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2445 - -2452. What is the closest to -2\/7 in m, 36, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 210788280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -120\/13 (b) -122.6 (c) -2\/11 (d) -3 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m + 17 = 5*j, -4*m + 11 = 5*j. Let l = -0.4 + 0.9. Let t = l + -0.4. Which is the third biggest value? (a) t (b) m (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 6:07 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/13)*f\/f**(-3))\/((f\/(f*f\/f**(-1)*f))\/f*f**(-12)) assuming f is positive.\nAnswer: f**(257\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2))**39\/(o**0\/((o\/((o*(o*o**(-3)\/o)\/o*o*o)\/o*o))\/o)) assuming o is positive.\nAnswer: o**(-77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 + 1878*p**2 + 376500*p + 23625000.\nAnswer: 3*(p + 126)*(p + 250)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -35*i - 24. Let k(p) = -13*p - 8. Let m(t) = 3*j(t) - 8*k(t). Calculate m(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 485514261*u**2 + 3458172*u + 16.\nAnswer: 971028522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b + 17 - 73 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -236.5 rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(10\/(-20))\/(1\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 1 + 0)*(-d + 3*d + 7*d) + 20 - 20 - 2*d + 0*d - 2*d + 4*d + (d - d - 2*d)*(0 + 0 - 1).\nAnswer: 101*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -8. Let z(i) = -i**3 + 2*i**2 - i + 2. Let g be z(0). What is the derivative of 0*f**4 - 3 + g*f**4 + b wrt f?\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 896482 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-33)\/(-55) + -69*2\/(-105)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i + 24*i - 2235 = 0. Suppose 0 = -5*b - i + 3342. Let v = b + -3551\/6. What is the common denominator of v and 79\/56?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**2 + p - 9. Let l(m) = -2*m**2 + 5. Calculate -5*l(w) - 3*x(w).\nAnswer: -2*w**2 - 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -175713 (base 14) in base 15?\nAnswer: -11379a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 16*r - 114. Let x be o(9). Let w be (1\/5)\/(8 + (-264)\/x). What is the nearest to 2 in w, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 852*f + 50. Let q(g) = -273*g - 17. Determine -7*q(w) - 2*u(w).\nAnswer: 207*w + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221, 408, 595, 776, 945, 1096, 1223?\nAnswer: 1320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.001*2.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 243360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2742 times -12?\nAnswer: 32904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*b - 56 + 78. Let y(o) = -13*o**2 + 6*o**b - o**2 - 10*o**2. Let u(m) = 2*m**2. Give y(u(r)).\nAnswer: -72*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + -1. Let w = 1.7 + 0.3. What is the smallest value in w, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07293 - -777518?\nAnswer: 777518.07293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 11:07 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**2\/3 - 8*z\/3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 216, 2, 31, -1 in decreasing order.\nAnswer: 216, 31, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001075 rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11753 is divided by 79?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -122? (a) 30 (b) -10 (c) 0 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10984141 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 235062263\/111928 - -66\/13991. Let c = 2103 - b. Calculate the common denominator of -34\/7 and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2. Let t(q) = -1. Let z(b) = 6*b**2 + 4. Let k(l) = -20*t(l) - 5*z(l). Determine k(c(x)).\nAnswer: -120*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(2*a - 8*a**5 + 5*a**5 + 4 + 0*a**5).\nAnswer: 6*a**5 - 4*a - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 0 + u**3 - u - 7\/12*u**4 + 1\/20*u**5 + 0*u**2. Suppose 5*c - p = 25, 21 = c - 0*p + 3*p. Give g(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 6*g**2 + 9*g + 4. Let b = 25 + -32. Determine v(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 12. Suppose -3*k - u*k = 0. Let i = 3 + 4. Solve -3*b = 5*o - 8, 3*b + o + i + 1 = k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66884 divided by 1454\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 247589157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 174*b**2 + b - 209.\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000083460506 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1138 divided by -154?\nAnswer: 569\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/3096244 and -139\/36?\nAnswer: 27866196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + 5*w - 3*w)*(-153*w - 180*w**2 + 317*w - 169*w) as h*w**2 + k*w + c + t*w**3 and give t.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2601775 + -1474966. Let a = g + 18676741. Round a to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 less than -52\/293609?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 - 18*y - 11 + 3 + 22*y.\nAnswer: 4*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -3, 0.2, -12246, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1028, -2\/9 in increasing order.\nAnswer: -2\/9, 0.1028, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -29*w. Let c be j(4). Let k be (c\/(-16))\/(1\/4). Let f = 51 + k. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -220323 (base 8) in base 3?\nAnswer: -10202102111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 6. Solve o = -s*i + 17, -5*o - 2*i - 7 = -0*i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bii when three letters picked without replacement from {e: 2, b: 2, z: 1, m: 1, i: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/w**(-9))*w*w**7*(w**(-11)*w)\/w*w\/(w*w\/w**(8\/7)*w*w) assuming w is positive.\nAnswer: w**(-97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1003719 divided by 1003719\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11504 - -11522. What is the least common multiple of 3316 and u?\nAnswer: 29844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 15 = -24. Suppose z*s = 9*s + 8320000. What is s rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*o - 7 + 0*o**4 + 3*o**4 - 22*o**5 - 22*o**5 + 45*o**5 wrt o?\nAnswer: 20*o**3 + 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94985 and 237070?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180028?\nAnswer: 2, 45007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 34, 59, 84, 109?\n\"Answer: 25*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -45. Suppose 0 = b + 4, -3*r = -l*r - b - 169. Calculate the greatest common factor of r and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -194788008 divided by -64929336\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2402846 by 1201423.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -353\/1070 + 199\/214. Factor 18\/5*b - 3 - x*b**2.\nAnswer: -3*(b - 5)*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -8 - (-8 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 11.1601, 0.547 in descending order.\nAnswer: 11.1601, 0.547, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/40 and 48\/115.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6607, 2\/9, 2.4, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2 = -3. Let p be (t\/(-3))\/(2\/(-18)). Factor k + p + k**3 + 2*k - 2 + 3*k**2.\nAnswer: (k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8778 and 58674?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2821 = -2*w, -1590 - 1224 = -p - 5*w. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(-30)*(-9)\/(-135)*-4.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*o**3 + 72 - 4*o**3 + 291*o**2 + 2*o - 356*o**2 - 72.\nAnswer: -21*o**3 - 65*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 1808\/83?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 12:30 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (4104\/(-5940)*(-30)\/3)\/(33\/121)\nAnswer: 76\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 4*b + q, 3*q + 10 = -3*b - 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (131670\/1000)\/(-33). Let n(i) be the third derivative of 12*i**2 + 0 - 3\/40*i**4 + g*i**5 + 0*i + 1\/5*i**3. Factor n(w).\nAnswer: 3*(w - 2)*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1025104 is divided by 163?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 2. Let a be 4 - (1\/c - 1). What is the common denominator of 97\/10 and (2\/(-12))\/(a\/(-280))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -75189 (base 15) to base 5.\nAnswer: -43342404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 11. Let g be (-1)\/j - (-76)\/12. Suppose -4*u + g = -22. Calculate the greatest common factor of u and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507645 is divided by 156?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*l + 3115 - 3137. Solve 4*m + 25 = -28*b + 23*b, -l*m + 3*b + 15 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 3*c + 9 = s, s = -3*c + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.073 - -7.273. What is the closest to i in -4\/11, -3\/7, 9?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2653459019 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -3, -1685 in descending order.\nAnswer: 1\/9, -3, -1685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4026008 divided by -952\nAnswer: -4229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + 4*j - 4*j)*(-j - 3*j + 2*j) + j**3 - j**3 + j**4 - 4*j**4 - 3*j**4 + j**4 + 3*j**2 - 4*j**4 - 3*j**2.\nAnswer: -13*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37975061, 75950122, 113925183, 151900244, 189875305, 227850366?\n\"Answer: 37975061*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 448\/(-288) - 3918\/(-108)*(-23)\/((-46)\/4).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50356.\nAnswer: 2, 12589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 189*y**3 + 162*y**2 + 162*y - 162. Let m(l) = -l**3 - l**2 - l + 1. Give j(r) + 162*m(r).\nAnswer: 27*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 9 + 7 = 0. What are the prime factors of 20\/6*(-12)\/k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1042 - 2*f**3 + 810*f - 810*f + 2*f**2 - f**2.\nAnswer: -2*f**3 + f**2 + 1042","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*q = -9*q - 205326. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26834397 and 21990.\nAnswer: 2199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5921)\/4 + 4\/16. What are the prime factors of ((-48)\/(-40))\/(-1 - 1486\/q)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2. What is the closest to 0 in 1, 4\/9, k?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30435305 - -343?\nAnswer: -30434522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -11627*q - 197664. Let y be l(-17). Let n(m) = -m**2 + 6*m - 6. Let x be n(4). Put y, -9, x, 4 in descending order.\nAnswer: 4, x, y, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-52)\/(-8) + -3)\/(1\/(-2)). Suppose -j + 5*r = r + 17, -7 = 3*j - r. Which is smaller: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2044, -2087, -2118, -2143, -2168, -2199, -2242?\nAnswer: -2303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -184 + 187. Let q = 4 + -12. Let i be (-2)\/q*8\/10. Put m, 1\/2, i in descending order.\nAnswer: m, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, j: 5}. Give prob of sequence bj.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 23*j**2 - j. Let f be q(1). Suppose -2*y + 2 = 5*x + 49, 3*y + 5*x + 58 = 0. Let b = y + f. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 + (-2)\/((-28)\/(-71)) and 89\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 72. Let s(w) be the first derivative of 5*w**2\/2 + 1514. Calculate s(d(h)).\nAnswer: 5*h - 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -264, -259, -254, -249?\n\"Answer: 5*y - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*20\/15)\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**3 + 16*z**2 + 16*z. Let y(c) = 5*c**3 - 17*c**2 - 16*c - 3. Let p(t) = -4*f(t) - 3*y(t). Determine p(14).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -129 by 84.\nAnswer: -43\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5 + 1 = 4*l, 0 = 4*s + l - 11. Factor 2\/3 - 4\/3*c + 2\/3*c**s.\nAnswer: 2*(c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-108*k + 108*k - 25*k**2)*(0*k - 2*k - 2*k) + 2*k**3 + 0 + 0 in the form q*k + o + l*k**3 + h*k**2 and give l.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -8*h**3 - 13*h**2 + 146*h - 47. Let o(j) = 31*j**3 + 52*j**2 - 584*j + 191. Let u(l) = -6*o(l) - 22*x(l). Factor u(y).\nAnswer: -2*(y - 4)*(y + 7)*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11000 (base 3) to base 5\nAnswer: -413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*k - 16263 = 19*k + 211*k for k.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35165 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c + 353 + 124. Suppose -4*t - 38 = 30. Let v = -6 - t. What is the remainder when c is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r = -3. What is the closest to -0.1 in -1\/4, 0.4, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (31*v**4 - 381*v**4 - 50*v**4)*(2 - 2 + 1)*(-2 + 1 + 3) - 4*v**4 + 3*v**4 + 2*v**4 to the form w + b*v**2 + r*v**4 + q*v + u*v**3 and give r.\nAnswer: -799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.6 - 445650.\nAnswer: -445643.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 + 51. Let x be y\/(7\/((-308)\/8)). Suppose 2*w + 0*s - 10 = -2*s, -s + x = 3*w. Solve -n = w*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s**2 - s + 1. Let r be l(1). Let x = -1.93 - -1.86. Is x greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -5. Suppose -12 = -4*h, 2*h + 2*h + 9 = -q. Let s be q\/(-9) + 2\/(-6). Solve -4*c - s*j = 8, 2*c - 5*j + 7 = z*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02 - -0.02. Let u be 64\/72*2\/(-8). What is the closest to c in 3, 1\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 6:02 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*m**3*u**3 - 2*m**3 - 4*m**2*u**4 + 2*u**4 - 154*u**2 wrt u.\nAnswer: -24*m**3 - 96*m**2*u + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1780649 and 702?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j**2 - 6*j**2 + 2*j**2)*(1 + 0*j + 1 + 5*j) + (15*j - 7*j + 0*j)*(j**2 + 0*j + 0*j) to the form d*j**2 + i*j**3 + m + u*j and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.3 - -0.3. Let b = t - 0. Let z = b - 1. What is the smallest value in 0.3, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -13*i**7\/210 + i**4\/2 + 6*i**2. What is the second derivative of t(o) wrt o?\nAnswer: -156*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 262 + -258. Let h = 13 - 7. Calculate the smallest common multiple of h and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -79.51\nAnswer: -318.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or 770172?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + 8 - (0 - 3)) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59 + -41. Let k = 37 + w. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 167357 divided by -28\nAnswer: -167357\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) -17.1 (c) -2\/9 (d) -2 (e) -2\/3 (f) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2893.81 + -2894. What is the closest to 0.1 in 3, 1\/5, v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f - 3*f**2 + f + 16*f + f**2.\nAnswer: -2*f**2 + 22*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 26536, -0.11, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*t - 17*t + 9310. What are the prime factors of t?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/2)*c\/c**(-3))\/(c**(2\/3)*c)**(-43))\/((c*c**(-2\/9)*c**(-3)*c)\/(c**(-5)\/(c**5*c))) assuming c is positive.\nAnswer: c**(1195\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 7 - (25 + 9 - -7) - (3 + 3).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*v = -11*v. Suppose 0 = o - 3 - 1. Solve -5*m + o*g - 6 = v, 4*m = 2*g - 1 - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3\/8)\/(s*s**(6\/11))*(s**3*s*s)\/s*(s**(1\/4)*s)\/s*(((s*s\/(s**(-2\/3)*s))\/s)**(1\/10))**(-38) assuming s is positive.\nAnswer: s**(-269\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14071989 and 3306.\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/105)\/(76\/(-266)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(((-2)\/(-1044))\/((-2)\/4)). Suppose -l = 11*r - 1405. Suppose z = 5*n - r, -n - 2*z = n - 32. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g - 1. Let w be d(-7). Suppose w = 4*y - 5*f - 10, -f = 5*y - 23. Suppose 5*z = -j + 2, 0 = -y*z - 3*j + j - 1. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqpl when four letters picked without replacement from loolxqqkqpkqq?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 76*b**2 + 26*b**2 + 0 + 9 - 5.\nAnswer: 102*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37312*r**3 + 2 - 2 - 37313*r**3 - 62*r**2.\nAnswer: -r**3 - 62*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2\/30)\/(((-5)\/(-30))\/(-1))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkkkkkkkkokk. What is prob of picking 1 o and 3 k?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a meter in millimeters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(1\/23))\/(k*k**20*k)*k\/(k\/(k**12\/k))*k**(-2\/5) assuming k is positive.\nAnswer: k**(-1201\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. Let s(u) = -u - 3. Let q be s(-3). Let m = q + k. Solve m*z + 2*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {p: 3, a: 12}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**2 + 2*q**3 + q - 3*q**2 - 4*q + 25 + 0*q**3 as o*q**2 + m*q**3 + b + d*q and give b.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 793, 2843, 6263, 11053, 17213?\nAnswer: 24743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2, 19, 54, 103, 166, 243, 334?\n\"Answer: 7*a**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**7\/42 + n**6\/5 - 121*n**5\/20 - n**4\/12 - n**3\/2 + 3*n**2\/2 + 6420*n. What is the third derivative of j(i) wrt i?\nAnswer: 60*i**2 + 144*i - 726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**2\/7 - 6*x\/7 - 9\/7 = 0. What is x?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**2 - z - 3. Let y = 6 + 1. Let g be (1 - 2)*-3 + 2. Suppose -n = -2*o - 1, 0*o + g*n + y = -2*o. Let q(d) = d**2 + 1. Calculate o*j(l) - 3*q(l).\nAnswer: l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-21) - -1)*(-112)\/(-24). Differentiate -145*b**4 + 74*b**y + 12 + 66*b**4 with respect to b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) 0 (c) 5\/575638\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5403 and 3402089?\nAnswer: 1801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**2 - 4*v**2 + 8*v**2)*(1 + 0 - 2).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**6\/60 + l**5\/30 - 17*l**4\/12 + 5*l**3 + 26*l**2 - 3*l. Determine h, given that z(h) = 0.\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24240 = 27*y - 23727 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 345\/24 + 4\/((-64)\/6) and 34.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-61)\/(-488) + 3070\/16 is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**1)**30*(z**(1\/4)\/z)**(-34))\/(z**(-6\/5)\/(z*z*z**(-2\/9)*z))**(-2\/5) assuming z is positive.\nAnswer: z**(37759\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3067, -6088, -9109, -12130, -15151?\nAnswer: -18172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -434214525 (base 6) in base 12?\nAnswer: -2724445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 96634987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 34 = -0*s + 2*d, 2*d = -s + 14. Let c(x) = -21*x - 8. Let o be c(-1). Solve o*f - s = 3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4 - 4 = 0. Factor 6*j**4 - 30 - j + g*j + 19*j**2 - 15*j**4 + 20 - j**3.\nAnswer: -(j - 1)**2*(j + 1)*(9*j + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -396?\nAnswer: 39b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1705, 1697, 1683, 1663, 1637, 1605, 1567?\nAnswer: 1523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s. Let q(o) = 1157*o**2 - 9*o - 58. Let u(l) = 577*l**2 - 4*l - 26. Let k(b) = -4*q(b) + 9*u(b). What is f(k(z))?\nAnswer: -2825*z**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 33922*h. Let b(f) = -8*f**2. Give b(j(g)).\nAnswer: -9205616672*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232 = -224*i + 195*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 46 + 21. Solve 5*h = 4*m + 11, -4*m = x*h - 10 - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -4*y + 1. Let x be 3 + -1 + (2 - 0). Suppose 5*s - 5*k + 25 = 0, x*s = -3*k + 3 - 2. What is the units digit of g(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 407 (base 8) to base 9\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6230 and 712.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1031*w - 509*w - 530*w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-60)*10)\/((21\/2)\/7).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -3254043?\nAnswer: -1\/1084681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 890419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 746408560 to the power of 1\/3, to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248 = 74829*c - 74821*c for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 z when four letters picked without replacement from mzzmmz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 529468 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**3 - 2*k - 9. Let r(h) = 1. Let o(f) = 6*r(f) + t(f). Let z be o(-2). Let j = z - -68. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from gxxgg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*b + 820864 + 169245. Let g = 3205 + 102106. Let c = g + b. What is c rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -438941.02*12\nAnswer: -5267292.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (-2 + 1)) + 2. Let a(w) = -120*w - 960. Let j be a(-8). Solve r - p = -3*k + 4*k, j = 2*k - r + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 41682, 41677, 41670, 41661?\n\"Answer: -b**2 - 2*b + 41685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 205934 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 3:44 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1677 + 3525*z - 87 + 3363*z + 751*z**2 + 9*z**3 - 83*z**2 + 7*z**3.\nAnswer: 4*(z + 21)**2*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.291 + 15587965.\nAnswer: 15587965.291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q + 1. Let g be k(2). Suppose 0*i = -g*i. Suppose i = -0*x + 5*x - 55. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4*q + 239, -q - 39 = -x + 2*q. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 5*r - 5, -2*y - 2 - 1 = -3*r. Suppose y = -4*o + 2*b + 18, 5*b = -3*o + 2*o - 23. Is 2 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/2 - 2\/4. Suppose 0 = 2*u + t*u - 65. Suppose -2 = q - u. Solve 3*f + q = -5*c, -c + 6*f = f - 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 9*a**2 - 7*a + 10. Let y(r) = -r**3 + 6*r**2 - 8*r + 7. Let s be y(5). Let c be t(s). Suppose c*k - 43 = 5. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30940 and 119?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -117, -2\/7, 1\/4, 0.2?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(6\/11)\/h)**(2\/43)*(h**4)**(-46) assuming h is positive.\nAnswer: h**(-87042\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 125 + 41*n - n**2 - n - 84. List the prime factors of x(23).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d. Let x(q) = -7*q + 8. Let m(f) = -6*b(f) + x(f). Is m(6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**4\/8 - 3*x**2. Let o(i) = i. Calculate o(n(g)).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 34\/15*g - 2\/15*g**3 + 32\/15*g**2.\nAnswer: -2*g*(g - 17)*(g + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/56 and -23\/4298.\nAnswer: 17192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 273.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215710129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t + 2*w + 16 = 0, 4*w - 3*w - 5 = 0. Put 0, 2, 277, t, -1 in descending order.\nAnswer: 277, 2, 0, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*f**4 + 2)*(1 + 0 + 2) + (-3*f**2 + 3*f**2 - f**3)*(-2*f + 8*f - 17*f).\nAnswer: 17*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4384 - 4?\nAnswer: -4388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (165 - 159) + (0 - (-1 + 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6\/13, -5, -0.4, 3.\nAnswer: -5, -0.4, 6\/13, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -80, -2\/5, -38, -0.3.\nAnswer: -80, -38, -2\/5, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*b**3 - 7*b**3 + 44*b**4 + ((2*b + 0*b - 4*b)*(2 - 2 - b) + 0 + b**2 + 0)*(1 - 2*b - 1)*(12*b - 4*b + b).\nAnswer: -10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -23121?\nAnswer: -23130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10747847.\nAnswer: 11, 431, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*d - 6. Does 8 divide (4 - (4 + d))*16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 5:28 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + 2*r + 0*r)*(3531*r + 55 + 16 - 3515*r) as s*r**2 + t*r + y and give t.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a millennium?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 7*h**2 - 12*h + 4. Let z be n(-3). Put -1, z, 1 in decreasing order.\nAnswer: z, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**2 - 19*w + 9. Let i be c(-22). Is -1025 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*m - y, 2*m - 38*y = -33*y + 20. Let o = -6.8 + 0.8. Which is the nearest to -2? (a) o (b) m (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 772, 697, 618, 535, 448, 357?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m - 6*m + 29 + 2 + 0*m + 7*m + 6*m.\nAnswer: -3*m + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*w + 29 = -66, 59 = -2*c + 3*w. Let f be c\/(-8)*(-2 + -2). Let a = f + 26. Is a a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4341*-1.76.\nAnswer: 7640.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -293 by -2.\nAnswer: 293\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 3416?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 4. Let h be (k\/(-2))\/(1\/2). Solve 5 = -v - h*s - 20, -2*s = 4*v + 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*s, q - 4 = 3*s - 0. Let x be 1681\/(1 + q\/(-12)). Let b = x + 60419\/12. What is the common denominator of -31\/22 and b?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6)**35 assuming a is positive.\nAnswer: a**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -33 + 19 + 5*d**2 + 0*d**2 + 22 + 2*d. Let c(i) = -9*i**2 - 3*i - 15. Calculate -4*c(k) - 7*h(k).\nAnswer: k**2 - 2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 66*k**2 - 122*k + 43. Is h(62) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*z + 1579 = 673 - 6222 for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 5:55 PM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6579*k - 7174*k - 6439*k - 635*k + 2343*k to the form f + i*k and give i.\nAnswer: -18484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 14. Calculate the highest common divisor of 21 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + 5 + 2*sqrt(1216)*4)*-1)**2.\nAnswer: 1024*sqrt(19) + 77888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 22 + 6 = 2*y, 44 = 3*y - 2*v. Let l(t) = -t - 13. Let g be l(-7). Let f be (15\/(-2))\/(g\/y). Solve -f + 0 = 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -1\/2 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61 or 66?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 703.9368 hours in minutes?\nAnswer: 42236.208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, u: 9}. Give prob of sequence uu.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1520 - 1517) + -1 + (-3 - (-1 + 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 151*d**2 - 4*d + 4. Calculate i(1).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 44*f**2 - 2*f - 93. Let u be m(-44). Let h = -343\/1584 - 1\/176. Put 1\/6, 0.4, h, u in ascending order.\nAnswer: u, h, 1\/6, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 9:41 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -38. Suppose 0*z = -5*z + a. Solve -r - 2 - 5 = -2*g, -8 = -4*g + z*r for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 148958 smaller than 2014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 6*x**2 + 2*x - 5. Let r = -18 - -47. Suppose d + k - 4 = 3, 4*d = -5*k + r. Give u(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2*(-6 - -8)*5. Suppose 3*q - 10 = -i*o, 3*q - o + 5*o - 14 = 0. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -1 - (59 + -44)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f**4 - f**3 - 659*f - 9266 wrt f.\nAnswer: -4*f**3 - 3*f**2 - 659","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q - 5*q + 0*q)*(q - 2*q + 3*q) - 72124*q + 11*q**2 + 6 + 72124*q to j*q + p + v*q**2 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 49 (b) 1\/4 (c) -1\/20 (d) 61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyyyeeeyyeeyeyyeyeee. Give prob of sequence eye.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.061 times 0.14\nAnswer: -0.00854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -2 (c) 0.2 (d) 4 (e) 5177\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**0*z*z*z\/(z**(12\/5)*z*z)*z*z*z*(((z**3\/z)\/z)\/z)\/z*z*z\/z**1*z*z assuming z is positive.\nAnswer: z**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -564*d**2 + d**3 + d**3 + 566*d**2 + 31*d to the form y*d**3 + j*d + h + s*d**2 and give j.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*3*(6*(-2 + sqrt(704)) - (sqrt(704)*-2 + 0))**2.\nAnswer: -13824*sqrt(11) + 406800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -7553789512.4186.\nAnswer: -7553789507.4186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -844*a**2 + 15182*a + 138. What is d(18)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 1 - 7 = 0. Let r be 6 - 8 - -27 - (-1 - o). Solve r - 4 = 5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.131056 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 368, 351, 352, 371, 408?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s + 0 + 0)*(18*s**2 + 9*s**2 - 18*s**2) + s**3 + 5*s**3 - 2*s**3 as r*s + o*s**3 + h + m*s**2 and give o.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 71\/5 of a centimeter?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*q**2 + 20*q**2 - 2*q**2)*(q**2 + 0*q**2 - 2*q - 5*q**2) in the form l*q + i*q**3 + r*q**4 + o*q**2 + x and give r.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/96, -0.2, -0.17432.\nAnswer: -0.2, -0.17432, -7\/96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*t - 182*t + 94*t = -3000 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -66331 - 15905*m + 66331 in the form s*m + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 717672793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*10\/(-4) - 3322\/1364?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tysidttkstttkss. What is prob of picking 3 s and 1 k?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -q + l, 2*q + l - 10 = -0*q. Suppose 10*m - 13 = -3*w + q*m, 3*w - m = 1. Solve -i + 4 = -w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16203230.\nAnswer: 2, 5, 139, 11657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2862276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 minus -1232.706?\nAnswer: 1232.776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 4)\/(-3*30\/315).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 7. Let k be l + 0 - (-2 - -1). Let a(o) be the third derivative of o**4\/24 - 3*o**3\/2 + 2*o**2. Determine a(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 896 or 1?\nAnswer: 896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/30 and -49\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**35\/l)\/l)\/l*l**6*l*l*l*(l**(-5))**(-2\/143) assuming l is positive.\nAnswer: l**(5873\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14040 and 15600?\nAnswer: 140400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5225 - 5225. Which is the third biggest value? (a) 23 (b) -44 (c) 3\/4 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6143, 3679, 1215, -1249, -3713, -6177?\nAnswer: -8641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ryryyycj. What is prob of picking 1 y, 1 j, and 1 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 6. Let j = 3 - 14. Let v = 45\/4 + j. What is the nearest to -3\/2 in v, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-48) - ((-152)\/(-64))\/(-19).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*c + 270 = 10595 + 13579 + 1992 for c.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from ruoorrrwor.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (584\/(-73) - 7) + (-6)\/24*4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.67 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 719, 26?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j**2*r*x + 3*j**2*x**3 + 917757*j**2*x**2 + 3096*j*r*x**3 + 8*r*x**3 wrt r.\nAnswer: j**2*x + 3096*j*x**3 + 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5260 (base 11) to base 8.\nAnswer: 15463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 559 >= 488?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -5 - (5 - (-7 - -10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101101110001110000 (base 2) in base 6?\nAnswer: 13345412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4 = 6. Suppose -h*q = -0*q. Suppose 60 = 20*i - 18*i - 5*g, -4*g = -3*i + 76. Solve q*r + i = 5*a + 3*r, -a = -r - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001 (base 2) to base 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57.5 + 365.5. Let h = a + -310.144. Let t = h - -2.1. What is t rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3*h - 346, 0*h - 345 = -k + 4*h. Suppose 3*c - 107 = -x + 237, 3*c - k = 4*x. Does 32 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (1 + -1 + 8). Let m = 1 - g. Let k be ((-150)\/m)\/((-5)\/880). Round k to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxxxyxxxyxxxyyy. What is prob of picking 2 x and 1 y?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/70*(-30)\/36\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p**2 + 8*p + 6*p**2 + 2*p**3)*(0 + 0 - 2*p**2).\nAnswer: -4*p**5 - 16*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbobo. What is prob of sequence ob?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 79716.68 grams in tonnes?\nAnswer: 0.07971668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21.1 + 1.9. Let x = 24.19 + -1.08. Let n = x - h. What is n rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.031 or 1.603?\nAnswer: 1.603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k - k)*(-760*k**3 + 15*k**2 - 759*k**3 + 3*k**4 + 1522*k**3).\nAnswer: -3*k**5 - 3*k**4 - 15*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 263413*h. Let m(x) = 3*x**2. Give r(m(f)).\nAnswer: 790239*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 60*(6\/(-5))\/((-3)\/4). Let u = 110 - v. Calculate the greatest common divisor of 77 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1225434 is divided by 661?\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -256 + 269. Suppose 10*d + 4 = 12*d. Calculate the remainder when 2\/8*248\/d is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 8*d + 2. Let n(p) = -10 + p**2 - 6 - p + 10. Let b be n(4). Give w(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {r: 3, l: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40052.\nAnswer: 2, 17, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 841\/24*n**3 + 2*n + 0*n**2 + 1\/80*n**5 - 29\/24*n**4 + 40. Factor u(q).\nAnswer: q*(q - 29)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(133)\/(sqrt(21)\/sqrt(3)) + sqrt(19) + (-2*sqrt(19))**2 + -2 + (sqrt(228)\/(sqrt(24)\/sqrt(2)) + -1)**2.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 396.4 (b) -1\/84 (c) 2\/123\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 + -45. Let x = u + 3. Solve 3*h = -6 - x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -89.051 - -89. Let y = -0.07966 + -19.17134. Let b = o - y. Round b to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6 + 8 = 0. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0)**(-34)\/(l*l*(l*l**(1\/3))\/l)**(17\/2)*(l**(-6)*l*l**4*l*l)**23 assuming l is positive.\nAnswer: l**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**6\/40 - z**5\/4 - 3*z**4\/8 + 9*z**3\/2 - 52*z**2. Factor a(t).\nAnswer: -3*(t - 1)*(t + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 429557, 429456, 429355, 429254, 429153?\n\"Answer: -101*b + 429658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.0036km in millimeters?\nAnswer: 162003600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9)\/(-6))\/(-3))\/(132\/616)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(19\/4)*f)*f\/(f*f**(-49))*f)**(4\/5) assuming f is positive.\nAnswer: f**(177\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -125\/4 + 32. What is the smallest value in 0, x, 0.033?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*(sqrt(3) + (sqrt(3) - sqrt(27) - sqrt(3))) - sqrt(3))**2 + -5.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -358 + 424. Suppose d*i - 18304 = 10010. Round i to the nearest 10.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15632, -16502, -17944, -19952, -22520, -25642, -29312, -33524?\nAnswer: -38272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 11b2?\nAnswer: 11b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*x + h - 0, -3*h - 1 = -x. What is the greatest common factor of 497 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*d*w**2 + 3366504*d + 7094004*w**2 wrt d?\nAnswer: 4*w**2 + 3366504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 59, 20, -19, -58?\n\"Answer: -39*o + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/71 or 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 196 and 3025141?\nAnswer: 84703948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 878, 1739, 2598, 3455, 4310, 5163?\nAnswer: 6014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -16*d**2 - 1333*d - 84500. Let p(a) = -3*a**2 - 266*a - 16900. Let w(s) = -2*g(s) + 11*p(s). Factor w(v).\nAnswer: -(v + 130)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51658.\nAnswer: 2, 23, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/2*4\/3. Let v(t) = t**3 + t**2 - t - 2. Let r = -7591 - -7601. What is the remainder when r is divided by v(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3*n + 14 = 1 - 25, 0 = -2*t - 2*t + t - 53*n - 303 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*(-3)\/(-105)*15?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42005 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 106*b - 5. Let y(m) = 107*m - 4. Let p(i) = -4*t(i) + 3*y(i). List the prime factors of p(-3).\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10353263?\nAnswer: 10353263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44886841?\nAnswer: 41, 1094801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 = f. Suppose s + f = 2*s. Suppose s*c - 6*c = -60. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -33121?\nAnswer: 33125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p = 25*p - 5, 5*p = -k + 18 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 4*n**4 - 10*n**3 + 10*n**3 + n**4 + (1 - 7 + 4)*(-4*n**3 + 4*n**3 - n**4).\nAnswer: 7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 201 + -188. Let v = 4 + -3. Let n be (-1)\/((-2)\/8) - v. Solve n*u - 5*k = -0*u - w, -u + k - 1 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-4))\/((-5)\/(-80)). Solve 6*s - u = 4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5176.\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 - -908\nAnswer: 908.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 25*t + 952. Let x be i(0). Let d = -941 + x. Calculate the smallest common multiple of 94 and d.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -1 - (300\/(-18))\/(8\/(-6))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**3 - 40 + 40 - 3*v**3 + 18*v as i*v**2 + a*v + n*v**3 + t and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - -72. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 517 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 109*l - 128. Let k(f) = f - 1. Let c(d) = 6*k(d) - u(d). Is c(-23) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 2*w + 0*w)*(w + 2*w - w) + 1696 - 854 - 851 - 6*w**2.\nAnswer: -8*w**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-108)*2)\/((-2)\/3)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 24*r**2 - 10*r - 6. Let x be c(-23). Suppose -x - 712 = -5*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 50 = -g, 4*c - c + 30 = -3*g. Let m be ((-3)\/c)\/((-12)\/390). Which is bigger: m or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 74459343 and 1019991?\nAnswer: 74459343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125252 is divided by 62?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s**3 - s**2 + s - 1. Let c = -1 - -4. Suppose -12 - 3 = c*u, -2*z + 4*u = -46. Calculate the remainder when z is divided by v(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(350\/(-5))*-1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2865 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7564379 a multiple of 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)*1*-2)\/(-4*5*sqrt(9)\/sqrt(3)).\nAnswer: 2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1384402162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44 - 51 - 25*s + 2*s)*(-4*s**2 + 4*s**2 + s**2).\nAnswer: -23*s**3 - 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 9*f + 2. Let r be j(2). Suppose -6*g + g = r. List the prime factors of 1815\/25 + g\/(-10).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 5 (b) 1\/8 (c) 11.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a meter in millimeters?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -376903, -753941, -1130985, -1508035, -1885091?\n\"Answer: -3*k**2 - 377029*k + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*-84.366.\nAnswer: 2277.882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b. Let f(v) = -11*v**2 - 9. Let x(s) = -3 - 5*s**2 + 0 + 1 - 2. Let g(k) = -4*f(k) + 9*x(k). What is g(j(o))?\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, d: 2, p: 1, r: 1}. What is prob of sequence dper?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 5:43 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26.148 + 26.248. Let m = -0.06 + -0.34. Let w = -18.83 + 19. Which is the closest to o? (a) m (b) 0.5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 1 - 2*l)*(-4 - 1 + 4) + 4*l + l - 4*l + 238*l - 119*l - 118*l + 4)*(-5 + 1 + 3) to the form i*l + g and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-106 - -141) + 2164\/(-62).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 + 122 = 11*b - 82 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100 + -67. What are the prime factors of m?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -137*w. Let m(t) = -136*t. Let d(h) = 3*m(h) - 2*z(h). Let b(q) = -7*q. Calculate b(d(o)).\nAnswer: 938*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -128, -1386, -4802, -11456, -22428, -38798?\nAnswer: -61646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18433941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 2:01 PM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*v**3 - 203*v**3 + 159*v - 159*v.\nAnswer: -229*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 5*f + 5, -4*f + 0*f = -4*w + 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2905635430.2 - -109.\nAnswer: 2905635539.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107.49 - -9684575376.\nAnswer: 9684575268.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3.384 * -0.1\nAnswer: -0.3384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*p - 218, 75 = 2*i + 3*p - 142. Suppose 146 = k - 4*x, -887 = -5*k - 5*x - i. What is the remainder when k is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 239, 479, 719?\n\"Answer: 240*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13026, 53012, 119656, 212958, 332918, 479536, 652812?\nAnswer: 852746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1289, 776, -549, -3070, -7171, -13236, -21649, -32794?\nAnswer: -47055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 12 = 5*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 + 4*d**5 - 5*d**5 + (d + 1 - 1)*(d**4 + 3*d - 3*d) + (4*d - 2*d**2 - 4*d)*(5 + d**3 - 5).\nAnswer: -4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3151213*r - 1815493?\nAnswer: 3151213","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/9)\/(2\/3). Let w = 246.8 + -253.8. Sort 2\/7, g, 4, w in decreasing order.\nAnswer: 4, g, 2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 4, -4, -623\/5, 46?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.199287 + -0.100713. Suppose -4*y - 32 = -3*y. Which is the second biggest value? (a) l (b) -4\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 805421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 101502503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00320283935 to 5 decimal places.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 1)*-2 - 0. Let n be x\/15 - 478\/(-5). Calculate the greatest common factor of 24 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywx when three letters picked without replacement from wpxyxxywx.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.09 (c) 4 (d) 1363\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6 = 2*w - 6, 3*o - w - 18 = 0. Suppose -2*s - o + 310 = 0. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -139535.22657 - -139536. Round k to 3 decimal places.\nAnswer: 0.773","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23460, -46922, -70384?\n\"Answer: -23462*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*d**3 - 4 + 137*d + 6*d**2 - 5 + 5 - 21*d**3 wrt d.\nAnswer: -270*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 34339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1673000, 1673005, 1673012, 1673021, 1673032, 1673045, 1673060?\nAnswer: 1673077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 10088000 to the nearest one hundred thousand.\nAnswer: 10100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -258708, -258710, -258712?\n\"Answer: -2*m - 258706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.309115 rounded to one dp?\nAnswer: 29.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6*d = 27*d. Solve -5*c - 5*n = d, -c + 5 = c + 3*n for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*n - 358*n - 172*n - 150*n + 92*n to i + u*n and give u.\nAnswer: -547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 3*z + z)*(-5 - z**2 + 5) + (-3*z - 6*z + 2*z)*(2*z**2 - z**2 + 0*z**2).\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -45*s**4 + 17*s**3 - 17*s + 5. Let d(n) = 15*n**4 - 6*n**3 + 6*n - 2. Let u(y) = -17*d(y) - 6*w(y). Find the first derivative of u(q) wrt q.\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 4. Let w = 13 + p. Let j be (-45)\/w - (-6)\/4. What is the smallest value in 0.1, -2\/9, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 0 - 2*k**2 - 5\/12*k**4 - 2\/3*k**3 - 1\/10*k**5 - k. Does 8 divide z(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 13. Let s(w) = g*w - 5 + 5*w - 3*w - 5*w. Let i be s(11). Solve -3*h + 15 = i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010101001100000 (base 2) to base 10.\nAnswer: -109152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**3 - 2*a**3 - a**3)*(-3*a + 7*a - 3*a) + 17*a**4 + 9*a**4 + a**4 + (7*a**2 - 3*a**2 - a**2)*(-2*a**2 + a - a).\nAnswer: 22*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 4 + 19*h**2 + 4.\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*l = 98*l + 7*l + 2280 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 112.1 * -4.7\nAnswer: -526.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 8*i**2 - 6*i + 9. Let o be h(-7). Let a(x) = -1 + 2*x - x - o. Suppose 8 - 98 = -18*t. Calculate a(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 603767553 to the nearest integer?\nAnswer: 24572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-44) - 3\/(-12). Suppose -9*b + 5*b = 2*x - 6, 2*b - 1 = x. Let h be 4 - (5 - 1) - (-2 + b). What is the closest to h in 5, -0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2607*k + 7*k**2 + 2644*k - 5309*k as s*k**2 + g + n*k and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 221269.5?\nAnswer: 221269.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/11, 1, 298, 48.\nAnswer: -9\/11, 1, 48, 298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t + 15. Let k = -26 + 23. Let p be (-350)\/(-42) + 4\/k. What are the prime factors of l(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*c**5 - 2 - 19*c**5 + 4*c**5 - 29*c**5 + (2*c**2 - 3*c**2 - c**2)*(2*c**2 - 2*c**2 - 2*c**3) - 405 - 2*c**5 + 24*c**2 + 2*c + 405.\nAnswer: -44*c**5 + 24*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*a + 3*n, a + 72 = 3*n + 78. Sort -159, 3, 1, a.\nAnswer: -159, a, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (535 + 1372 - 335)*(-h**2 + h**2 - 3*h**2).\nAnswer: -4716*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 7*w + 3. Let t(p) = 2*p**2 + 14*p + 6. Let d(c) = 9*j(c) - 4*t(c). Let m be d(-7). Solve -v + 3 = h, -5*h - v = -m*v - 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/8)*t)\/t*t**(-14)*(t\/t**(-1\/6))**(-30) assuming t is positive.\nAnswer: t**(-389\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1061015\/214 + 4958. Let q = -3797\/107 + c. Calculate the common denominator of q and -53\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 1. Let l be 20*(0 + 9\/(-12)). Let c = 7 + l. Let q be i(c). What is the highest common divisor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 5*b**2 - 25*b + 4. Let z be h(-8). Solve -z = 6*w - 9*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7, -72.3, 0.037?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - h - 2073 = 2*h, 5*s - 5*h = 2065. What is the remainder when s is divided by 144?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 + 7*g - 7. Let x(w) be the third derivative of -w**5\/60 + w**4\/6 - 2*w**3\/3 - 6*w**2. Determine -6*r(d) + 11*x(d).\nAnswer: d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10804, 21201, 31598, 41995, 52392, 62789?\nAnswer: 73186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 15*g**2 - 81*g - 266. Let c(a) = -3*a**2 - 1. Let d(y) = 4*c(y) + r(y). Factor d(s).\nAnswer: 3*(s - 30)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 4*n - 25 = 0, -n = -3*u - 14 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-141)\/231 + 54\/297. What is the nearest to 0.2 in b, -3\/5, -2\/629?\nAnswer: -2\/629","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6631*b**2 + 38*b**3 - 6632*b**2 - 7*b - 1 - 39*b**3 + (2*b + 4*b - 5*b)*(b**2 + 5*b - 5*b) + b + 2*b**3 - b + 0*b**2 + 0*b**2 + 2*b**3.\nAnswer: 4*b**3 - b**2 - 7*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -5. Let z = i - 4. Solve -4*f = -16, -1 - z = 3*q + 2*f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3246752 and 842?\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6 - -1*(207 + -8)) + -1 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from dsnnaabdbbnb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, j: 3, s: 4, h: 2, f: 6}. Give prob of picking 1 h and 2 f.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 12, g: 1}. What is prob of sequence og?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = n + 5*q - 9, 21 = -3*n - 3*q. Let y(i) = i**3 + 10*i**2 - 14*i + 15. Calculate the least common multiple of 6 and y(n).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19 or 5?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2797*8032.\nAnswer: 22465504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 896*c - 3. Suppose -2*j - 2 = -4*g, -3*g = -7*g + 16. Let h(u) = -299*u + 1. Let m(v) = j*h(v) + 2*i(v). Is m(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 2*d - 18 = 0, q + 3*d + 18 = 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 14818848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1*(40\/(-120) + (-4796)\/66)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6264 + 4.48.\nAnswer: -6259.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/15)\/c)**(-17)*(c**0\/c)**(2\/23) assuming c is positive.\nAnswer: c**(5053\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38982789 or -38982790?\nAnswer: -38982790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 18980.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l + 2. Suppose -3*b = -2*w - 16, -3*b + 10 = -4*w - 10. Let t be b*1*(-5)\/(-10). Let s be (-1)\/(t\/(2 + 4)). Calculate n(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(6\/5)*a)\/(a*a*a*a\/((a*a**(2\/19))\/a)*a)*a**(-19)*a\/a**(-16) assuming a is positive.\nAnswer: a**(-446\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i - 84 = -16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5329 (base 11) to base 10.\nAnswer: 7049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20, 36, 52?\n\"Answer: 16*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -2*h - 1\/6*h**4 + 0 + 1\/20*h**5 - 1\/6*h**3 - h**2. Determine q(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-31)\/(-3) - (-1)\/(-3). Let r(v) = v**3 + 6*v**2 + 1. Let t be r(-3). Suppose -2*h + t = -q. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2.5 (c) 824\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/10 + (-28 - -28). Factor z*g**3 + 0 + 1\/5*g + 2\/5*g**2.\nAnswer: g*(g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (45*s + 37*s - 101*s)*(3*s**2 + 10*s**2 - 7*s**2) to the form f*s + y + j*s**2 + c*s**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -2. Let o = h + 13. Let u = o - 9.99959. Round u to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - d - 1. Let c be k(-1). Let j = -2 + c. Let m be 8\/12*(-6)\/j. Solve 0*x + 2*x - 2*v = 6, 12 = -m*v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -9. Suppose 5*v - 15 = -5*u, 10 = y*v - u - u. Suppose -79 = -5*f - 2*s, -s - 21 = -f - v*s. Solve f = 3*j, -7 - 19 = -3*h - 4*j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/25 + 11\/11?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4)*0\/1. Let z be 7 + (-2 - u) - -1. Let x be 3\/(7\/14 - 1\/(-2)). Calculate the highest common divisor of z and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -15*k**4\/8 + 41*k**3\/2 + 79*k**2 + 17*k - 1. Calculate y(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 486736303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/79380 and -131\/24570.\nAnswer: 1031940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + (36 - 17) - (1 - 4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1216322172 to the nearest integer?\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20553 and 2907.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 35*q**2 - 36*q - 56. Let w be u(-34). Suppose 0*t + 3*t = w. Solve t*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 10:36 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 21674400 to the nearest one million.\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 4:00 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3\/3 - 2845*l**2\/3 + 370000*l\/3 + 10075840\/3.\nAnswer: 5*(l - 296)**2*(l + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 590763556 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1139382729 to the nearest integer?\nAnswer: 33755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 26*i + 31. Let m be j(27). What is the fourth smallest value in 2\/7, -5, -0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8254 - 6444.\nAnswer: -6443.1746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 462 and 110?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 14*j**2 - 2*j + 9. Calculate the remainder when m(-14) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -p**6\/90 + p**3 + 3. Let n(v) be the third derivative of k(v). Let r(g) = -2*g. What is r(n(a))?\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -65*i**3 - 99*i**2 + i - 42. What is the ten thousands digit of f(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4971 - 104369\/21. Is 2 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.03525037 - 54627?\nAnswer: -54625.96474963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 + 1 = -12*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h = -14*h - 36. Suppose -14 = -4*n - h. Calculate the remainder when (-2)\/n + 4 + 91 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 54*u**2 + 1667*u - 660. Give q(-31).\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/8*(-34)\/(-119).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*t - 10, -2*w = -4*t - 0 - 2. Let y be (-14)\/(-8) - (-2)\/8. Solve -y = -n + w*k + 8, 4*n - 3*k - 6 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 + 2*p - 7. Let a(d) = 7 + d - 514*d**2 + 174*d**2 + 171*d**2 + 170*d**2 - 3*d. Calculate -4*a(k) - 3*r(k).\nAnswer: 2*k**2 + 2*k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 6921.\nAnswer: 6923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/(8\/(-8)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37429.\nAnswer: 7, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1542 (base 6) in base 5?\nAnswer: -3142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yoqyqqiyyioiiqi. What is prob of sequence iyi?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a - a + 2*a + (-2 + 3 - 3)*(-a - 2*a + a) + 0*a - a + 2*a + (0 - 5 - 3)*(-5*a - 3*a - 5*a) + a - 3*a + a.\nAnswer: 109*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 125370?\nAnswer: 1\/125370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 3*n - 24, n + 4*f - 4 = 14. Suppose 1177 - 1177 - 5*i**2 - n*i = 0. What is i?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + (61 - 141 - -26).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/93 in -7, -3, 3\/8, -5, 6\/59?\nAnswer: 6\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 24*s + 1. Suppose 0 = m + 2*c - 5, 4*c = m + 2*c + 7. What is v(m)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, z: 5}. What is prob of sequence zzzr?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -7*l**2 + 1\/10*l**5 + 1\/12*l**4 + 0*l + 0 + 0*l**3 - 1\/15*l**6. Factor g(p).\nAnswer: -2*p*(p - 1)*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g + 42 = 4*t - 14, 90 = 23*t + 14*g - 15*g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(10)\/sqrt(5) + sqrt(2))*-4*-2)**2.\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 703, -70, 4\/5, -1\/3, -5, -1\/12 in descending order.\nAnswer: 703, 4\/5, -1\/12, -1\/3, -5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 60 = -11*u. Suppose 0 = 2*h - u - 0. Solve -6*z**2 + z**3 - 4*z - 4*z**h + z = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -934 or -15884\/17?\nAnswer: -15884\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 114, -3, 1.\nAnswer: -4, -3, 1, 2, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5225000*j**2 - j + 2. Let t be w(2). Round t to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h - 13281. Let a(s) = -14340*s. Calculate a(b(r)).\nAnswer: -14340*r + 190449540","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-279)\/(-21) - 14) + (-4)\/14. Let a be (-11792)\/(-670) + w\/((-10)\/4). Calculate the greatest common factor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 10:08 PM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (49 - (108 + -11))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 1 - (-30 + (-4 - (21 + -9)))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3)*((-2)\/3)\/(-2). Let z = 1.7 - 2. Sort x, -1\/3, z in descending order.\nAnswer: x, z, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3231 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -16, -42 in increasing order.\nAnswer: -42, -31, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 5. Solve -3*q = -5*g - 3, 2*g + 3*g = -p*q - 31 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58.1 + 50. Let d = 7.7 + l. What is the second biggest value in -0.3, d, 0.22?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 335830043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -1993?\nAnswer: -1993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650104260?\nAnswer: 2, 3, 5, 13, 833467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-28797)\/662*-10*8\/1260*-3\nAnswer: -58\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000018015977 to seven decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 22595.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/189400 and 77\/182520.\nAnswer: 864232200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110*n - 5*n + 17*n)*(1 - 3 + 0*n**2 - 5*n**2).\nAnswer: 490*n**3 + 196*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.45 - -0.55. Let y be 26\/(-52) + 209\/(-2). Let l be 18*28\/y - (-4 + 0). Which is the fourth biggest value? (a) 2 (b) u (c) l (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*d**4 - 12 - 11*d**2 - 24*d**4 - 5*d**2 to the form s*d**2 + y*d**4 + v + c*d**3 + x*d and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**4\/24 - 2*o**2. Let n(i) = 2*i - 10. Let m(x) = x - 4. Let f(u) = 10*m(u) - 4*n(u). Determine f(t(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 4*g**2 + 8*g - 161. Let u(h) = 3*h**2 - 6*h + 160. What is -3*a(o) - 4*u(o)?\nAnswer: 3*o**3 - 157","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 97\/6. Let y = 5 - 4.7. Sort y, q, 4 in descending order.\nAnswer: 4, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*l - 47 = -14*l + 1258. Solve -l = -o + 5*g, 5*o - 16 = -3*g - 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(4\/7))**(1\/85))**(-3\/31) assuming a is positive.\nAnswer: a**(-33\/18445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16, 62, 140, 250?\n\"Answer: 16*x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 2*q**2 - 41*q - 120. Let d be l(-3). Solve 0 = -16*u + 22*u - d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/170)\/(13*(-1)\/(-2)).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2094, 2088, 2082?\nAnswer: 2076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2257, 2668, 3121, 3640, 4249?\nAnswer: 4972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8645 is divided by 83?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*w - 6352*w**3 - 207*w**3 + w**2 + 387*w - 198*w.\nAnswer: -6559*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, 256, -3, -4, 3, 4, -2 in decreasing order.\nAnswer: 256, 61, 4, 3, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 2\/3, 0, -0.05, 8\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 43.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -a + 13, -23*a = 2*h - 25*a + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*n**2 - 6*n**2 + 3*n - n**3 + 0*n**3 as o + b*n**3 + k*n**2 + w*n and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -562959\/20 less than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nww when three letters picked without replacement from {n: 5, w: 3}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35665 and 519018479.\nAnswer: 7133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -8)*46 + 3. Suppose 5*f - 42 = k. What are the prime factors of f?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8589726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/2 + 681*t\/2 + 4342.\nAnswer: (t + 13)*(t + 668)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(4000) + (2*sqrt(4000) + sqrt(4000) + sqrt(4000))*-6 + sqrt(4000) + sqrt(4000))\/(sqrt(648)*1 + sqrt(648) + -1*sqrt(288)))**2.\nAnswer: 6125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(76)*1 + 2 + -4)*3)**2 + 3.\nAnswer: 108*sqrt(19) + 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-468)\/60)\/((-1)\/((-90)\/(-27))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 476860487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 1:13 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-5*-1*sqrt(20) - 2*sqrt(60)\/sqrt(3))\/((sqrt(490) + 2*sqrt(490))*-5 + sqrt(490)))**2.\nAnswer: 9*sqrt(2)\/49 + 43227\/4802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 2. Let b(d) = d**3 + 7*d**2 - 9*d - 4. Let x be b(-8). Suppose 2*g - 534 = -l*g - 5*v, -2*g + 270 = x*v. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, c: 1, q: 1}. Give prob of sequence kc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1737270534 to the power of 1\/3, to the nearest integer?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 10*t - 42 = 0. Let g(j) = 49*j + 23. Is g(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*r**2 + 31 - 31 - 3*r**2 + 3*r**2 - 2*r**2 + (3 - 3 + 2*r)*(2 + r - 2) + 2*r**2 + 3*r**2 - 6*r**2 + r**2 + 2*r**2 - r**2 - 2*r**2 - 1 + 1.\nAnswer: -46*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-3))**(-31\/5) assuming q is positive.\nAnswer: q**(62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 160680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3235 + 3391. What is the greatest common factor of 1014 and l?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z + 3. Let t be n(7). Let a be t\/(-6) + 6\/9. Suppose 4*s + 2 = 10, 4*y + 3*s - 62 = 0. Solve -5*h + a = -y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40.44 + -4609.56. Let w = -4649.9999993869 - j. Round w to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 20.83. Let r = -9.83 - -10. Let t = a - r. Which is bigger: -2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-65)\/52)\/(3\/(-12))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1056 is divided by 264?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 32\/(-5)*(-85)\/34. Suppose 4*o - 12*o = -a. Solve o*m + 10 = 4*b, -5*b + 5 - 15 = 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 622 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 44. Let q(m) = -m**2 - 11*m - 13. What is q(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 7*d**2)*(-4*d + 2*d + 0*d)*(-2*d + 0*d - d) to b*d**2 + c*d**4 + p + o*d + i*d**3 and give c.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from duppdpepeppeupep. Give prob of picking 2 d and 2 p.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + -0.34. Let w = y + 0.03. Let p = w + -0.39. What is the second biggest value in p, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**4\/3 - n. Let p(s) = -s + 2*s + 6*s - 8*s. Determine c(p(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 3*p + 7. Let i be w(6). Let r be (1\/1)\/(9 - 10). Sort i, -5, r.\nAnswer: i, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*x**2 - 74*x**2 - 81*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3672907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 6.06. Let r = 6681\/5 - 1336. Which is the biggest value? (a) 1 (b) 5 (c) r (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6951 rounded to the nearest 100?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 13. Let n = 1634.9 - 529.4. Let w = 1105 - n. Which is the second smallest value? (a) -1 (b) w (c) z (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 1:01 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**9*x**(-1\/3)*(x*(x**1\/x)\/x)**33*x*x\/x**(1\/5)*x**(-1\/15)\/x*x*x*(x\/(((x*x\/(x*x**(1\/6)*x))\/x)\/x))\/(x*x\/x**(-7)) assuming x is positive.\nAnswer: x**(197\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-15)\/(-10)*-2. Solve 4 = -b*u - 8, -4*z = -2*u - 16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 6*k + 3. Let q(f) = 136*f**2 + 65*f - 52. Let g(o) = -22*i(o) + 2*q(o). Differentiate g(n) wrt n.\nAnswer: 500*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 478510068516 and -5.\nAnswer: 478510068511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8844 and 248796?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 + 6*p + 135. Calculate the remainder when v(0) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -136474090 by 5.\nAnswer: -27294818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/60)\/((36\/10)\/((-3)\/(-2))).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.41 - -1.5543287.\nAnswer: 2.9643287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((52\/6)\/13)\/((-2)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v - 2. Let i be (-5)\/(5\/(-2)) - (-5 - -5). Suppose i*x + 5 = -o - 5, 3*x + 8 = 2*o. Let m(l) = -6*l + 6. What is x*m(d) - 11*r(d)?\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 111 + 588 = p, 2*p = 2*n + 994. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285138 equal to 285139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 255527463?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide ((-71)\/(-213))\/((-1)\/(-9)) - -925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -5\/5564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*(1 + sqrt(208) + sqrt(208))**2.\nAnswer: -3329 - 64*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7056, 29167, 66326, 118527, 185764, 268031?\n\"Answer: -p**3 + 7530*p**2 - 472*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -501 - -500 - ((1 - 0) + -6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 157 - 149. Suppose -12*l + h = p - 8*l, -3*p + 9 = -3*l. Solve -12 - 1 = g + 3*t, p*t = -2*g - 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/2 - (-10)\/20. Suppose m - c*q - 285 = -4*m, 4*m - 228 = -2*q. List the prime factors of m.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 3*o + 0*o. Let c(w) = 17*w. Let v(r) = 510*r. Let i(t) = 119*c(t) - 4*v(t). Calculate i(b(p)).\nAnswer: 34*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52.35 - -0.65. Let l = k + -48. Let r = -3\/16 + 73\/48. Which is the biggest value? (a) -3 (b) l (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 668 = -3242. Let f be 2\/8 - r\/(-52). Suppose j = f - 5. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r**3 - 26*r**2 - 5*r - 12. Let w be l(-6). Suppose -o = 8*o - w. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 38 + -55 + 87\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of 5*x**7\/42 - 3*x**5\/4 + 5*x**4\/6 - 1174*x. Find k such that j(k) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 + -29.2. Which is the second smallest value? (a) 5 (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -143 + 85. Let l = 58.00000062 + f. Round l to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 9:16 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 186*45\/(2025\/18)*3\/(-72)*-10?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -8*t**2 + 10\/3*t**3 + 8*t - 4 - 1\/2*t**4. Find a such that o(a) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 342\/66 + 1*-2 + -3.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 - 12*y**2 + 12*y + 10. Let v(x) = -x**3 + 5*x**2 - 5*x - 4. Let q(j) = 2*j**2 - 7*j + 8. Let b be q(4). Determine b*v(a) + 5*d(a).\nAnswer: -2*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 97, -4, 6, -1, -0.2.\nAnswer: -4, -1, -0.2, 0, 6, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 206, 1011, 2352, 4229, 6642, 9591, 13076?\n\"Answer: 268*a**2 + a - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2366 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -43*t**9\/126 - 11*t**5\/60 - 162*t**2 + 2*t. Find the third derivative of g(y) wrt y.\nAnswer: -20640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*k = -8, 2*a - 3*a - k + 9 = 0. Suppose -2*q - 26229 = -5*i, -10*q = -a*q + 10. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*u = 0, -22 = -0*w - 2*w - 4*u. Let m be -4*(0 - (-5)\/(-4)). Solve -t + 6 = -l, m*l + 7 = 3*l - w*t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3113 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/241459 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**3\/9 + 911282*m**2\/9 + 911288*m\/9 - 1822568\/9 = 0.\nAnswer: -2, 1, 455642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, -5, 16 in decreasing order.\nAnswer: 97, 16, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10120741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 1)*(-15 + 4*v + 15) + v + 1 + 2 + 2.\nAnswer: -11*v + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -81805 from 9.\nAnswer: 81814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (164 + 54*z - 164)*(z**2 + 0 + 0).\nAnswer: 54*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.34689063 to 3 decimal places.\nAnswer: -0.347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 587532791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(30)\/(sqrt(48)\/sqrt(8)))**2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 40 = 4*l, 2*z = -l + 5*z + 17. Solve l*d = 3*q + 2*q, 2 = 2*d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i - 6. Let p be z(-4). Let o(d) = -4*d**2 - 2*d**p + 4*d**2. Let m(r) = 132*r - 28*r - 84*r - 22*r. Calculate o(m(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -476 - -529. Differentiate -b*l**3 + 134*l**3 - 46 - 299*l**3 with respect to l.\nAnswer: -654*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -52. Let g = u + -1. Let q = -0.3 + 2.3. Which is the biggest value? (a) -0.08 (b) q (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**2 + 2*n. Let x(z) = 36*z**2 + 192*z - 1. Calculate -6*j(b) + x(b).\nAnswer: 6*b**2 + 180*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*g - 11 - 6, 2*a + 5*g - 31 = 0. Let q(j) = 4*j + 13. Let t be q(-4). Let o = a + t. Solve o = 2*c + 10 - 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -75, -61, -47?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -7*k + k. Is 31 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4 = h. Let n = h - -4. Suppose i + 3*u = 14, -u = -i + n*i - 22. Is 14 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + y**2 - 3*y**2. Let q = -15 + 25. Let a(x) = 0*x + 10 - q + 2*x. Determine a(v(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o**2 + 6*o**2 - 3*o**2 + 8*o**2 to p + l*o + k*o**2 and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxz when three letters picked without replacement from {x: 12, z: 1, q: 1}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2803 + -2806. What is the closest to -0.2 in 0, -50, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22670 and 23770.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: ((-924)\/(-56))\/((-3)\/(18\/(-3)*3\/3))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 3 - -3)*(-6)\/(-4). Let -49 - 40 + 12*o + 98 + d*o**2 = 0. What is o?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 127, -0.01, 436?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 6. Let y(x) = -961*x. Determine y(v(k)).\nAnswer: 961*k + 5766","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3482 is divided by 37.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/23400*-20)\/(1\/5)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -75306 (base 13) to base 11\nAnswer: -134935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/98 and 101\/84.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 168985823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2*24\/80 + (-19336)\/(-10).\nAnswer: 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 3*r**2 - 18*r + 63. Let o be l(4). Suppose -3*w = 5*m, -6*m = w - o*m. Find h such that w - 3\/2*h - h**2 = 0.\nAnswer: -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14630 - -14661. Let d = 751 - 410. Calculate the greatest common factor of d and z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**7\/840 + z**6\/120 + z**5\/30 - z**4\/4 - z**3\/3 + 11. Let y(o) be the third derivative of f(o). Give y(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*p = 38*p + 10. Suppose 3*v - 5007 - 5292 = 4*i, -5*i = -p*v + 17165. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-248)\/(-2170))\/((8\/10)\/(-2)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 15*d**2 - 4*d - 14. Let i be f(15). Let c = -74 - i. Suppose c = -10*j + 143 + 7. Calculate the remainder when j is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - 165\/(-3 - -6). Let w = 115 + v. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127.5 minus 39451.2?\nAnswer: -39578.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 15) + -1 + 5 - (22 + -31)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 90411161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.477163? (a) 1 (b) -0.2 (c) -1\/28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 475536600 divided by -377410\nAnswer: -1260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2177.4 - 3026.54. Round o to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -1) + (-4 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.06, 1\/2, -6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 5*w**4 - 75*w**2 - 80 - 96*w - 28*w + 10*w**3 - 36*w = 0.\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 j when two letters picked without replacement from ljiltrgtg.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 475\/(-10))*(-4)\/(-6). Let w be c\/(-10)*-2 - -2. What is the highest common factor of w and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 11:26 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 4 (c) -230\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/552 and 63\/46?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17121*c + 7 = -17116*c - h, -7*c = 51*h + 357 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 4*k + 18, 0 = 5*l + 5*k + 8 - 3. Suppose -2*n - l*n + 32 = 0. Solve 5*j = 3*a - n, -12 = -2*a + j + 4*j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 3. Solve 0 = -3*g - 2 + 11, -5*b - a = -5*g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.165 * 0.1\nAnswer: 0.0165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/10)\/(v\/v**(-8))*v\/(v**(2\/9)*v)*v**(1\/2)*v)\/((v**(-2))**(-9\/4)*(v**(2\/5))**(-1\/15)) assuming v is positive.\nAnswer: v**(-5533\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(64\/24))\/(6\/(-4)). What is the hundreds digit of (-71)\/((-4)\/12*t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**0*h)\/(h\/h**1)*(h**(-1)*h)\/(h**(-6)\/h))\/((h**1)**(11\/4)*h**(4\/7)*h\/h**6*h) assuming h is positive.\nAnswer: h**(271\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 15*s. Let f(o) = 23*o. Calculate f(t(r)).\nAnswer: 345*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 808, 3361, 7616, 13573?\n\"Answer: 851*o**2 - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(-145*p**5 - 200*p**4 + 200*p**4) - 2*p**5 + 2*p**2 - 2*p**2.\nAnswer: 288*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -197, -79, -5 in descending order.\nAnswer: 4, -5, -79, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 674993 is divided by 112367.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 25347329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 79*((79\/(-79))\/((-2)\/22) + 204\/(-17)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2695058586 - -62?\nAnswer: 2695058648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18002163 is divided by 198.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*b = 0. Solve -2*d - 4*n + 8*n + 4 = b, n + 4 = 2*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5635.7 to the nearest one hundred.\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 505 = -5*g + 495 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-32)*(-8)\/6*0. Let g(h) = -345*h + 0 + 340*h + t. Let k(f) = 9*f. Calculate g(k(s)).\nAnswer: -45*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, q: 1, i: 5, u: 1, n: 1}. Give prob of picking 1 w and 1 i.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 10)*(-37 + 22 + 9*m + 16) to the form t*m + i and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 - 3)*(g**2 - 3*g + 3*g + (2*g + 0 + 0)*(g - 3*g + 0*g) - 2*g**2 + 0*g**2 + 3*g**2 + 3 - g**2 - 3 - 2*g**2 + 3*g**2 + g**2).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 136*w**4\/7 - 44*w**3\/7 - 12*w**2\/7.\nAnswer: 4*w**2*(2*w - 1)*(17*w + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 20, -93.\nAnswer: -93, 6, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -0*g + 4*g + 13, 4*t - 2*g = 20. Suppose t*h = -h. Suppose 0 = o - h*o - 3. Solve 4*c - 4 = 4*x, x - 4 - 3 = -o*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (52 - 18*n - 52)*(2 - 5 + 4)*(-n**2 - 3*n + 3*n) to the form s*n + o*n**3 + b*n**2 + a and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 10*p**2 + 8*p - 7. Let u be m(-9). Let v(a) = 43*a**2 + 3*a - 7. Let y be v(u). Are y and 170 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21069 = 3*i - 10*v + 6*v, -3*i = 3*v - 21069. List the prime factors of i.\nAnswer: 3, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3025 is divided by 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 12) to base 5.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 7. Suppose 2*f - x = 105, u*f - x + 0*x - 158 = 0. What is the remainder when f is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -28. Let n = -7 - l. Suppose 35 = a - 2*m, -6*m + 4 = -n*m. Calculate the remainder when a is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/((-675)\/(-10))*-9. Factor -18\/11*a**3 + 2\/11*a**2 + 0 + 2\/11*a - 8\/11*a**5 + u*a**4.\nAnswer: -2*a*(a - 1)**3*(4*a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 693\/110*108\/63. What is the third biggest value in -1, -1\/3, -2\/19, o?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17552888 divided by -8776444.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 28*v**2 - 321*v + 180. Calculate d(-9).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423 is divided by 355.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42742 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, b: 2, k: 1, j: 2}. What is prob of sequence fj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11687.\nAnswer: 13, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13862062 and 13856.\nAnswer: 221792992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11.74+115.858\nAnswer: 127.598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -6*f**2 + 1. Suppose 4*j + 176 = 216. Let i(n) = -4*n**2 - 7*n**2 + j*n**2 + 0*n**2. Calculate k(i(q)).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4327683177.\nAnswer: 3, 157, 2617, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 11. Suppose 3*m - 5*s + 12 = 0, 3*m + 5*s = 5*m + 3. Let c be b(m). Suppose -4 = -c*z - 0*z. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-140)*-4 - 6\/50.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -2)*135\/30. Solve t = 2*m + m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -37*k**3 + k**2. Let b be i(-1). Find the first derivative of m + 55 - 48 - b*m**2 - m wrt m.\nAnswer: -76*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 4*u**2 + u**2 + (0 + 0 - 2*u)*(u - 2*u + 0*u))*(14*u**2 + 27*u**2 - 9*u**2 + (-5 + 5 - u)*(0*u + 0*u + 2*u) + 0*u**2 + 0*u**2 - 5*u**2).\nAnswer: 25*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/19, -170, -1\/3, -76, -9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3379*s - s**2 + 0 - s**2 + 3306*s + 4 to the form b + c*s + l*s**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kejjqqkkqeqqkkmqemeq. Give prob of picking 2 m and 1 e.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)\/n)\/n**(-1\/31) assuming n is positive.\nAnswer: n**(-61\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w + 1. Let q be c(-1). Put q, 1\/3, 3, 2\/3 in ascending order.\nAnswer: q, 1\/3, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -22 + -3d?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2487, -4970, -7451, -9930, -12407?\n\"Answer: y**2 - 2486*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 7*c - 5. Is 31 a factor of g(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Suppose d*r = r - 20. Solve r = -4*u + 4*g, 0 = 4*u - 2*g - 1 + 15 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysggggggggggggygg. What is prob of picking 1 y, 1 s, and 1 g?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -7457868.49 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 5*i = 22*r - 39, 70*i - 42*i - 3*r - 22 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4548653293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -1\/2 (c) -2\/7 (d) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 24*s**2 - 48*s + 39. Let d be b(-24). Let p = -360 + d. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -15*j - 27. Let z(v) = -2*v - 3. Let c(l) = -p(l) + 9*z(l). Let o(r) = -1760*r**2. Give c(o(f)).\nAnswer: 5280*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3816)\/21624*(-1)\/(-6).\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/9 - (1568\/(-42))\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p - 1. Let f(h) be the first derivative of 101 - h**3 - 201 + 95. What is f(l(m))?\nAnswer: -27*m**2 + 18*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -3. Suppose n + 2 = -a. Let t be 6\/(2\/((-4)\/n)). Solve 0 = o + t*o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2526 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84681 and 23571.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 196340 to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284451220?\nAnswer: 2, 5, 14222561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-188*u + 83*u - 25 + 110*u - 61*u - 35)*(-u**2 + 3*u - 3*u).\nAnswer: 56*u**3 + 60*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-10))\/(252\/(-5880)). Solve -k = -8*x + x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133 and 245?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 6*d + 3. Let l be v(-7). Solve 55 = -o - l*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 15) in base 2?\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 898389, 898388, 898387, 898386, 898385, 898384?\nAnswer: 898383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 28 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 153, 610, 1375, 2448?\n\"Answer: 154*l**2 - 5*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*t + 748*r - 747*r, -3*r + 12 = -3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.388471 weeks?\nAnswer: 234947.2608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 506*j + 2*j**2 - 603*j + 8*j**3 - 9*j**3 + (j - 2*j - j)*(-5*j**2 - j**2 + 4*j**2).\nAnswer: 3*j**3 + 2*j**2 - 97*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - -6. Let i = a - 21. Solve 4*u = -0*o - 5*o - 12, -5*u = 5*o + i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10280 + -10287. Put 3\/7, x, -2\/9 in descending order.\nAnswer: 3\/7, -2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7788, -30720, -68788, -121986, -190308, -273748, -372300?\n\"Answer: w**3 - 7574*w**2 - 217*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/3080 and 67\/52.\nAnswer: 40040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 492.50415 rounded to 2 decimal places?\nAnswer: 492.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1711276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000048831996 to 7 decimal places.\nAnswer: 0.0000488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224314 a multiple of 637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 14*o**2 - o - 2. Let s be ((-14)\/(-4))\/((-1)\/4). Let l be p(s). Let d be (4\/45)\/((-8)\/l). What is the closest to 1 in 1\/10, d, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11142158, -22284306, -33426452, -44568596?\nAnswer: -55710738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-3 - (0 + 1)). Let h(f) = -f**2 - 7*f - 6. Let q be h(-6). Sort q, w, 4 in ascending order.\nAnswer: w, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-4)*(-8)\/40. Factor -3\/4*s**4 - 1\/2*s**3 + 1\/2*s**2 - b*s**5 + 1\/4 + 3\/4*s.\nAnswer: -(s - 1)*(s + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1687 + 3 + 0)\/(-4). Let h = m + -417. Solve l = -h*l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/77662 and 143\/618.\nAnswer: 232986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j**2 + 3*j + 4. What are the prime factors of c(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 6:03 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(5 - 273\/56)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1870912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40211957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -154 - -181. Find the third derivative of -15*y**4 - 153*y**2 - 42*y**2 + q*y**2 - 53*y**4 wrt y.\nAnswer: -1632*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1434251 is divided by 6078?\nAnswer: 5921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**2 + f**2 - 3*f**2 - 66*f + 66*f + 44*f**2 + f**2 - f**2 + f**2 - 3*f**2 + 3*f**2 + 3*f**2 + (4*f**2 - 2*f**2 - 3*f**2)*(1 - 2 - 1).\nAnswer: 44*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48\/7 + 261\/35. What is the biggest value in -7, 0.5, 0.11, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*m - 51*m + 191*m - 48*m.\nAnswer: 251*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, t: 1, z: 8}. What is prob of picking 1 m, 1 z, and 1 t?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -195.\nAnswer: -1\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*f**3*o**2 + 47*f**3*o - f**2*o - 4*f*o**3 + f*o wrt o?\nAnswer: 34*f**3 - 24*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 11 = -5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/1)\/(12 + -13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2075*m**3 + m + 127810 with respect to m.\nAnswer: -6225*m**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15165176 and 1768.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67515797.\nAnswer: 19, 3553463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1526 divide 1828033498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 244?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2162519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r - 12. Let o(j) = 23*j + 72. Let q(b) = 6*o(b) + 34*w(b). Let f = 468 - 480. Let t be q(f). Put 8, t, -5 in decreasing order.\nAnswer: 8, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 279570997*l*u**2 - 219778835*u**2 wrt l.\nAnswer: 279570997*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2695) - -6*2*sqrt(2695))\/(sqrt(405) - ((-2*sqrt(405) - sqrt(405))*-6 - sqrt(405))).\nAnswer: -91*sqrt(11)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6 + 5*d**3 - 2*d**3 + 1324*d**2 - 6*d**3 - 1326*d**2. Let z(c) = 2*c**3 + 2*c**2 - 5. Calculate -4*m(v) - 5*z(v).\nAnswer: 2*v**3 - 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(68) + sqrt(68)*1 + -3 + 0)**2 + 5 + -2 + sqrt(68) + (5 + -1 + sqrt(68))**2.\nAnswer: -1318 + 138*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8536, -17749, -26962?\n\"Answer: -9213*o + 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1535 + -1533. Solve -5*q - b = -3*t + 13, 5*t - 25 = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 bigger than 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25469994 a multiple of 1254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6\/s**(4\/3))\/(s**(-1))**42*((s*s*s**(1\/3))\/s)**42*s*s*s**(-2\/5)*s*s\/(s\/(s\/s**(-3)))*s assuming s is positive.\nAnswer: s**(1654\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4940572 or -4940569?\nAnswer: -4940572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - g + 729 = 735, 0 = -t + 3*g + 26. Let o(f) be the second derivative of 0 - 1\/2*f**3 - 11*f + 0*f**t. Give o(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -308105, -307982, -307857, -307730?\nAnswer: -307601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*m + m + 10, 10 = 2*m - r. Suppose -a - 5*c = -4, a - 10 + 3 = -m*c. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13\/19 - -53\/133. What is the closest to 0 in a, 2, -9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164d5 (base 16) to base 15\nAnswer: -1c0ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/33 or 50?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 10*t**2 + 3*t - 11. What is the units digit of k(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**6\/21 - 16*n**5\/35 + 9*n**4\/7 - 32*n**3\/21 + 5*n**2\/7 + 171. Factor v(j).\nAnswer: 2*j*(j - 5)*(j - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*h*h\/(h**3\/h)*h)\/h)\/h)\/h*h\/h**(1\/8))\/((h\/(h**(1\/2)*h)*h)\/h**(-4)) assuming h is positive.\nAnswer: h**(-37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 7) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -5.6. Let t = 14 + -20. Let s = t + 7. Which is the closest to s? (a) -0.5 (b) 2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, i: 2, g: 4, z: 1, p: 1, o: 1}. Give prob of picking 1 o and 2 s.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 0 + 4. Let a(x) = -2*x + 0 + 5*x - 7. Let f be a(3). Solve -5*t + t - 2 = -f*i, -z*t = -8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3, 5, 0.5, -12.3, 3 in descending order.\nAnswer: 5, 3, 0.5, 0.1, -3, -12.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = s + 5*k, 0 = 4*s + 6*k - 3*k - 157. Suppose -4*l = -4*a - s, -3*l + 12 + 22 = -4*a. What is the highest common divisor of l and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 181*r**4 + 1580540*r**2 - 610547696*r.\nAnswer: 2172*r**2 + 3161080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**3 - 4*l**2 - 3*l + 5. What are the prime factors of b(3)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -9, -21?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -v**3*y**3 - 3*v**3 - 9572*v*y**3 + 76*v*y**2 wrt y?\nAnswer: -6*v**3 - 57432*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 36 = -12. What is the remainder when 11 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -39. Suppose 0 = 3*w - 6, -w + 5*w = -4*s + 36. Suppose -3*i + z + s = 0. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14550 rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 3034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -1\/4, -1, -2\/5, -20.36 in descending order.\nAnswer: 2\/5, -1\/4, -2\/5, -1, -20.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0062458282 rounded to six dps?\nAnswer: -0.006246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -a5 (base 11) to base 6\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 6, -5*i + 15 = -2*i - 5*y. Let n be (3\/(-2))\/((-345)\/20). Which is smaller: i or n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a week in minutes?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 6*s**2 + (-s**2 + s**2 - 2*s**2)*(-1 + 1 - 2).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x**2 - 2*x + 2. Let r be f(1). Let c(g) = 3*g. Let n(z) = -3*z. Let y(l) = -3*c(l) - 4*n(l). What is the lowest common multiple of y(r) and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 5*b + 1. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2362407, -2362408, -2362409, -2362410?\n\"Answer: -u - 2362406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44824 = 17799*h - 16937*h for h.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -5*t**2. Let a(h) = -h**2 - 215*h + 10. Determine a(j(k)).\nAnswer: -25*k**4 + 1075*k**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1 - 0.97. Let o = u - -2.87. Let a = o + -3.0000004. What is a rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**4 - 2489800*j**3 + 644*j**2 - 16*j + 13 wrt j.\nAnswer: -48*j - 14938800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58.01795um to millimeters.\nAnswer: 0.05801795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**3 + 86375*z**2 - 259160*z + 172780 = 0?\nAnswer: -17278, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a day in hours?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/7, 5, -3, -1 in ascending order.\nAnswer: -3, -1, 6\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h. Let p(o) = -4282*o**2 - 5. Calculate p(s(g)).\nAnswer: -38538*g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.29 - -3.2. Which is the nearest to 0? (a) o (b) 1\/7 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + f - 6*f - 10354104*f**2 + 10354102*f**2 + 2*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -4, -8, 0, 2 in ascending order.\nAnswer: -8, -4, 0, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -4*q - 181 + 173, 2*k + 5*q + 7 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, f: 5, i: 3}. What is prob of picking 3 f?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001286714 rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -45.273343 to two dps.\nAnswer: -45.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgggggllglgggggggggg. What is prob of picking 1 l and 1 g?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 753310 and 1065.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.3 (b) 37 (c) -2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94457 and 682?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11557037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 739362 and 43056?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2209369 + 2209369 + 18*c**2.\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 623, 2446, 5489, 9758, 15259, 21998, 29981, 39214?\n\"Answer: l**3 + 604*l**2 + 4*l + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45059.\nAnswer: 7, 41, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*2\/(-8) + 43\/4. Let t be -4 + q + -3 + 1. Solve t*j + 0 = -5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.034?\nAnswer: 0.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*12\/(3 - -1). Suppose -5*o + j*o = -212. Is o a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 1100110010111101111100?\nAnswer: 1100110010111101111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8*u**2. Let b(t) = 29*t. Let w(h) = -44*h. Let y be 15\/(((-6)\/(-4))\/(9\/18)). Let m(r) = y*w(r) + 7*b(r). Determine i(m(g)).\nAnswer: -2312*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 + 6*l**2 + 13*l - 45. Determine r(-5).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*u**4*w + 1423149*u*w + 3780137*w wrt u?\nAnswer: 8*u**3*w + 1423149*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3983?\nAnswer: 7, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s*s**(-10))\/s*s)\/s)\/(s**(-5)*s)*(s**2*s)**(15\/4) assuming s is positive.\nAnswer: s**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 69 = -g. Let q = -19 + g. Let m = q - 1. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*t = 4*i + 24, 5*i + 5*t = 0. Suppose 2 = 2*k - 5*r + 20, -4*k - 8 = 4*r. Sort 1, i, k in descending order.\nAnswer: 1, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3841420 and 69145560.\nAnswer: 69145560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -3163b9a?\nAnswer: -3163b99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y*(y*y*y\/y**(4\/7)*y)\/y)\/y))**39\/(y**(-12)*y)**(-47) assuming y is positive.\nAnswer: y**(-4009\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 9*n**2 + 11*n + 29. Let l be b(-9). What are the prime factors of (-1 - 1)*7\/(l\/305)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(304)*2.\nAnswer: 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 816511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/174)\/(16\/((-1280)\/10)*(-30)\/5)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -116*o + 7225 - 9429 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 + 5. Let n be q(2). Let p(f) = f**3 - 2*f**2 - 2*f - 3. Let y be p(3). Which is the closest to y? (a) -4\/9 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/10)*(p*p*p**(-2\/5)\/p*p)\/p)\/(p*p**(-2\/9)\/p*p)**(-43))\/((p**0)**(6\/23)*(((p\/p**(1\/3)*p)\/p)\/p)\/p**(1\/6)) assuming p is positive.\nAnswer: p**(310\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21891, -21892, -21893, -21894?\nAnswer: -21895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + 27. Suppose -y + 0*y = -o. Suppose -2*i = 8*i - 140. What is the remainder when y is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63991 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -3*o**2\/2 - 4*o - 1. Let b(z) = 3*z + 12. Let y be b(-5). Let w be n(y). Solve -h - 3*a + 1 - 11 = 0, w*h - 26 = 4*a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {l: 2, p: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-6 - -15) + -18 - -6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.12 in -74, -3, -4, -1\/3, 2\/69?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96468 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2064 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-two fifths of a century?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**2 + 17943*u + 17940 = 0. What is u?\nAnswer: -5980, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1632270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.63526 rounded to 2 dps?\nAnswer: 7.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 8*b - 10. Let q be v(-6). Suppose 0 = -q*o - 0 + 4. Solve o*a - 3*a - 4*r = 4, 5*a - 3*r = 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -5*s**2 + 8*s + 17. Let o(b) = -8*b**2 + 8*b + 17. What is 2*o(i) - 3*y(i)?\nAnswer: -i**2 - 8*i - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9 and 0.108351.\nAnswer: -8.891649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3377?\nAnswer: 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 451.01354 - 451. What is s rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -27 (c) 4 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5*t + 1)*(-716*t + 346*t + 311*t) - t**2 - t**2 - t**2.\nAnswer: 292*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*c = -4. Let k be c - 12\/(-4)*2. Let x = k + 6. Solve -3*n + 4*w = x, -3*w = -4*n - 4 - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b**3 + b**2 - 168*b - 2259 wrt b?\nAnswer: -3*b**2 + 2*b - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2279.7 rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -787, -1570, -2353, -3136, -3919?\n\"Answer: -783*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 3*w - 34. Let c = w + 58. Suppose -5*z - 3*j + 73 = 0, j - c = 4*z - 79. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-6\/17)*u)\/(u*u**(-3\/13)) assuming u is positive.\nAnswer: u**(194\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqcc. What is prob of sequence qqqq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4 + 2*l**3 + l**2 = 0. What is l?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13210951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15540 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24.77, 0.06, -2\/9.\nAnswer: -24.77, -2\/9, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 304 - 304. Is -0.01 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 8:52 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5470 = -8*u - 7954. Let j = -298 - u. Let m = -703 + j. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 3 - -1 - (-10 + 1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - 466\/3)*(17\/(-2) + -14)?\nAnswer: 3, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*y = -89 + 1268, h + 259 = -5*y. Let l = 392 + h. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -21, 2\/89, -5, 1 in ascending order.\nAnswer: -21, -5, 2\/89, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17983, -17212, -16441, -15670, -14899?\nAnswer: -14128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10968, -21936, -32904?\nAnswer: -43872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 r when two letters picked without replacement from pappprvcvccppcpcpr?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**4 + 116*r**3 - 400*r**2 - 512*r = 0?\nAnswer: -32, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 2, 17, -2.2, 0.5, -6\/29?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 316904701?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1152) - 2*sqrt(1152))\/sqrt(4))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 12 = 2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + 18 + (20 + -41 - -12)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1157 and 1066715.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/595 in -22, -381\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 1. Let r(u) = 6*u + 7. Suppose -5*o + 24 = m, 5*o + 3*m + 37 - 59 = 0. Give o*p(x) + r(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12348 - 12333. Put -2, -4, i, 4 in decreasing order.\nAnswer: i, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3))**(-1\/12)*u**(-1\/5)*(u*u*u**6)\/u*(u**(-4\/5)\/(u\/(u\/(u\/u**(-1)))))\/((u*u*u**(-6))\/(u*u\/(u*u*u**(-1\/2)))) assuming u is positive.\nAnswer: u**(305\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 minus 31569030.029974?\nAnswer: -31569068.029974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1360554\/212585 + -2\/42517. Factor -112\/5*q + 48\/5 + 4\/5*q**4 - v*q**3 + 92\/5*q**2.\nAnswer: 4*(q - 3)*(q - 2)**2*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 - 7*o**3 + 27 - 10 - 14 + 2*o. What is the least common multiple of l(-1) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -348*z - 329*z**4 + 173*z + 172*z - 2*z**4 - 2*z**3 + 2*z**3 + (z**2 - 2*z**3 - z**2)*(0*z + 3*z - z).\nAnswer: -335*z**4 - 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.2 - 0.8. Let h = 4.935 - 1.935. Which is the closest to -0.6? (a) -5 (b) h (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-16)*u)\/(u*u**4*u*u) assuming u is positive.\nAnswer: u**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86*b**4*t + 21*b**4 - 10*b**3 - 346*b**2*t - 24*b**2 + b*t wrt b?\nAnswer: 2064*b*t + 504*b - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, u: 2}. What is prob of picking 3 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*sqrt(539) + 0 + -2 + 1*-2*(sqrt(11) + -1)**2.\nAnswer: -17*sqrt(11) - 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, v: 3, q: 1, m: 1}. Give prob of sequence qttm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8 - 4)*(3 + (-4)\/8). Let t = 34 + z. Suppose 2*w = w + t. Solve b + 3 = w*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 14, j: 1}. What is prob of picking 4 e?\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d**3 + 10*d - 11. Let o be h(1). Suppose -p = 16*a - 13*a - 39, -o*a = -p + 15. What is the least common multiple of 30 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 176, 407, 720, 1103, 1544, 2031, 2552?\nAnswer: 3095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116728 is divided by 4321?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 20. Put o, -1, 0 in descending order.\nAnswer: o, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 49501 or -86?\nAnswer: 49501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4175, 4176, 4177, 4178?\nAnswer: 4179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51.1 - -51. Let s = -8 + 5. What is the third smallest value in -5, s, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -0.8, 3\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + t. Let m be ((-12)\/(-15))\/((-2)\/(-10)). Suppose 25 = -5*f - 5*y, 0 = -3*f - f + m*y + 20. Let w be f*(0 - 1)\/(-2). Determine d(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*b - 3 = -b, 4*i = -b + 27. Let f be (-92)\/120*-5 - (-1)\/i. Let j be 4\/(-6)*(-6)\/(-38). What is the closest to -1 in -0.3, f, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 + 51. Suppose 0 = -c + 2*c - 3. Let x = 5 - c. Do q and x have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-942)\/(-9) - (-2)\/6. Let d be f\/7 + 0 + 0. What is the greatest common factor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 552 and 4623.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p + 36. Let y be l(5). Suppose -15*u = -y*u + 260. What is the highest common divisor of 104 and u?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-51 - (-13 - -13)) + (-6 - (-17 - -10))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69646*j - 113039 wrt j?\nAnswer: -69646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-62364\nAnswer: 31182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352 - 653 = 43*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(3\/4))\/(o**(1\/2)*o)*o\/(o\/(o**(3\/4)*o)*o)*o**(-2\/13) assuming o is positive.\nAnswer: o**(11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 4)\/((-6)\/(-8)). Let i(q) = -q**2 - 7*q - 6. Let b be i(l). Let x be (-3)\/b*2*-14. What is the greatest common factor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 1189*c + 8263. What is x(7)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -258 + 136. Let w = f - -232. What are the prime factors of w?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3266 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 + 23. Let w = -19.1 - i. Which is the biggest value? (a) 1 (b) w (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 - 166 = -2*c. Suppose -6*h + c = 20. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 726251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11599 is divided by 54?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 226130 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3196 - -8?\nAnswer: 3204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 32*h = 30*h + 27 - 15, 0 = k - 3*h + 22 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - b + 52. Let a be s(0). Let o = -135 + a. Find the common denominator of -73\/66 and o*3\/(-59 + 5).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 - f + 3. Let q(y) = -7 + 41*y**2 - 45*y**2 + 6*y - 5*y. Determine 5*l(i) + 2*q(i).\nAnswer: 2*i**2 - 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 9 = 39. Let k = 63 + c. What is the highest common factor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 237751502?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 241653000 (base 7) to base 10\nAnswer: 15055299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -76*c - 12. Let i be q(-2). Let p be (108\/27)\/(2\/70). Are i and p equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -88.468 to zero dps.\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*t - 3*k - 31, -k - 40 = -5*t. Let u(z) = -2*z - 5. What is u(t)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1363788 divided by 774.\nAnswer: 1762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.15 and 0.148568.\nAnswer: 0.298568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from annekngkaam. Give prob of sequence nmk.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d**4 + 6*d**2 + 4. Let h(b) = -b**2. Suppose 2 - 12 = -5*r + 5*t, -4*t = 3*r - 34. Let i(f) = r*h(f) + c(f). Differentiate i(x) with respect to x.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 0*n - 7*n - 3*n - 2*n + 4*n + (0 + 0 - 2)*(-6*n + 4*n + 0*n) - 4 + 4 + n + 0*n - n - n)*(-1 + 1 + 2*n) as x*n**2 + g + t*n and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 6\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3620.9 and -0.54.\nAnswer: -1955.286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 81.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 400036 and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14775566 rounded to five dps?\nAnswer: 0.14776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, m: 1, a: 5, y: 3, z: 1}. Give prob of picking 1 z, 1 m, and 1 p.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 34783 divided by 34783\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - r**2 - 2*r**2)*(-2 + r + 2 + (1 + 2 - 1)*(r - 9*r + r)).\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20558, 20629, 20700, 20771, 20842?\nAnswer: 20913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -110 + 115 + (-1462)\/264 + (-2)\/(-24).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by (-8 - (-6 + 2)) + 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*(-44 + 1))\/(19 + (-51390)\/2705). Is y at most as big as -23263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -c - 5*f, -3*c - 3*f - 1 - 2 = 0. Suppose -c*u + 6 = 2. Suppose 4*i - 2*z - 2*z = 8, i + u*z = 14. Solve 20 = i*b - 2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 679137894?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 0, -61, -112, -147, -160, -145?\n\"Answer: h**3 - h**2 - 65*h + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3973870610272+0.01\nAnswer: -3973870610271.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -42079 > 905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -553 divided by -7\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 167501.29315 to the nearest one thousand.\nAnswer: 168000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b**2 - 5*b**2 + 3*b**2. Let j(w) be the second derivative of -1\/6*w**3 + 0 + w + 0*w**2. Determine y(j(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*d + 6 + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + 1*(-4*sqrt(110) - sqrt(110)) + sqrt(110) - (sqrt(110) + 3*sqrt(110)*-4))\/(-4*sqrt(40)\/((1*sqrt(20))\/sqrt(5))).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**3\/3 + 200224*v**2\/3 + 5012807680*v\/3 + 80153673728\/3 = 0.\nAnswer: -50048, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14606262 to the power of 1\/3, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -126*k + 436 - 209 + 277. Let b be (-262)\/(-6) + (-8)\/12. Put b, k, -3 in ascending order.\nAnswer: -3, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 6:39 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -15, -3\/7, 0.2, -74 in decreasing order.\nAnswer: 0.2, -3\/7, -2\/3, -15, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y = -15*y + 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013166 rounded to 4 decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15206492817 and 0.3.\nAnswer: -15206492816.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of n**4\/4 - 92*n**3\/3 + 960*n**2 + 9216*n - 104. Suppose j(o) = 0. What is o?\nAnswer: -4, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -87*z - 128*z + 142004 + 157276. What is the least common multiple of 24 and z?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/7, -3\/2, -554, 5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**5\/20 - 17*x**4\/8 + 5*x**3\/2 + 2*x**2 - 41*x. Is y(31) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 2*y**2 - 23*y + 94. Give z(-8).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-8)*-19*2. Let v(x) = x**3 - 15*x**2 - 24*x + 18. Let n be v(h). Let w = n - -555. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 232*h + 3364.\nAnswer: 4*(h - 29)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 4*p**2 - 15*p - 4. Determine j(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 355369?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g = 85*g - 952. Solve -10*k + g - 34 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1328 is divided by 442.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**3 - 3*v**3 - 4*v**2 - 22*v + 3 + 19*v. Suppose 3*u - 2*n = -8, -u + 4*n = n - 2. Let a be l(u). Solve 2*c - a = -5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10666585 divided by 20395.\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/14)\/(-3) - (-1139)\/119. Suppose 8*n - 15 = p. Let g(f) = f**2 - f - 3. What is g(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 2:33 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 11407147500 to the nearest 1000000.\nAnswer: 11407000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34068, 34057, 34046, 34035, 34024, 34013?\nAnswer: 34002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2106541?\nAnswer: 89, 23669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 + 538*w - 2 - 11834*w**3 + 5919*w**3 + 5910*w**3 as f*w**3 + x + b*w**2 + t*w and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/165 and -59\/480?\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 66*o - 122. What are the prime factors of s(26)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14528 and 0.1.\nAnswer: 14528.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w - 2*t - 15 = 17 + 19, -4*t - 7 = -w + 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2, 0.4, 4\/145, 3\/5?\nAnswer: 4\/145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1154\/13, 0.4, 1, 2\/9, 0.3, 5 in decreasing order.\nAnswer: 5, 1, 0.4, 0.3, 2\/9, -1154\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 85 = -4*r + 95, 0 = 4*g - 2*r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -195, -400, -599, -786, -955, -1100, -1215?\n\"Answer: w**3 - 3*w**2 - 203*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 1, 6, 2755656 in descending order.\nAnswer: 2755656, 6, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0201347 rounded to 4 decimal places?\nAnswer: 0.0201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 - 2*n**3 - 4*n**3)*(-3*n - 3 + 3 - 2*n + 0*n + 3*n + (0 + n + 0)*(-1 - 2 + 1) - n + 3*n + 0*n + 4*n - 4*n + 4*n - 2*n - 2*n + 6*n).\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*n**2 - 400*n**2 - 7 + 7 + 121*n**2.\nAnswer: -392*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/4 + 14 + (-63 - 0)\/7.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 247159341 and 297?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 28*s + 8. Let z be i(-27). What are the prime factors of 4109\/z + 2 - 4\/10?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.1 (b) -66 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f. Solve f = -3*q + 3*h - 15, -5*h + 4 + 11 = -3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 87 - 29 = -5*v, -3*b + 30 = 3*v. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1336 bigger than -1168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-66))\/(3\/(-90))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-44)\/(-385))\/((-4)\/598). Let j = -84\/5 - w. Let t = 0.4 - 0.6. Sort j, 0.2, t in increasing order.\nAnswer: t, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0. Suppose 0 = 3*b + 5*i + 12, -2 = b - 5*i + 2. Let x be (-24)\/156 - 41\/(-13). Sort b, j, x in descending order.\nAnswer: x, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15796, 62697, 140754, 249967, 390336?\nAnswer: 561861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 1286, -1?\nAnswer: 1286","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 + 0*u**2 - 5*u**3 + 0*u**2.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((40\/195)\/8)\/((-72)\/864).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, 1\/5, -1\/2, -2\/11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2. Let i = 6 - 3. Let t(j) be the second derivative of -1\/6*j**i + 0 + j + 0*j**2. Give f(t(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 17 - 3 - (5 - -27 - -4)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6166 (base 9) in base 15?\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 11) to base 10\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3874136139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5\/(-6))\/((-190)\/(-304)). Which is the smallest value? (a) x (b) 4\/7 (c) -0.6 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j + 0*j - 3*j)*(4 + 3 - 3) - 1 + 2*j - 4 + 1 to m*j + v and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 10:47 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 848.5256kg?\nAnswer: 848525600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -9*r**3 - 5*r**2 - 7*r + 1. Let x(d) = -4*d**3 - 3*d**2 - 4*d. Let a(o) = 3*t(o) - 7*x(o). What is a(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*j + 23 + 308 = -145. Let r(v) be the third derivative of 0*v - 19\/60*v**5 + 0 + 0*v**4 + 18*v**j + 0*v**3. Let p(o) = 2*o. What is r(p(q))?\nAnswer: -76*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9358 + 9357.7. Put 26, n, -0.06, 3 in descending order.\nAnswer: 26, 3, -0.06, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*k**2*z**2 - 7267*k**2*z - 2*k**2 - 2*k*z**2 + 3861*k - 1 wrt z?\nAnswer: -4*k**2*z - 7267*k**2 - 4*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 - (9 + -10 - -13)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 21*z**2 + 1672*z + 46878. Determine u(-26).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11134004 (base 5) in base 11?\nAnswer: 68631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14\/4)\/(3\/78). Suppose 5*l = -2*t + 3*t - 40, 0 = -4*t - 3*l + k. Suppose 3*u - t - 2 = 0. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f. Let b be ((0 - 0)\/2)\/(-1). Suppose 2*i + 6 = -b*d + d, 2*d = -i + 2. Let y(v) = 19 - 19 - 6*v**2 + 9*v + 0*v**d. Calculate s(y(x)).\nAnswer: 12*x**2 - 18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 - 6*b**3 - 2*b**3 - 49*b**3.\nAnswer: -56*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q + 1. Let i be x(1). Let d(y) = -27*y**3 - 2*y - 1. Let j be d(-1). Let s be 272\/j + i\/(-7). What is the highest common factor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**4 - 36581*q**3 - 146337*q**2 - 109755*q = 0.\nAnswer: -3, -1, 0, 36585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**4 - 74*h**3 - 145*h**2 - 79*h - 3. Let u(i) = -2*i**3 + i**2 - i - 1. Let m(s) = b(s) - 3*u(s). What is v in m(v) = 0?\nAnswer: -1, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 - 2*z**2 + 4*z**2 - z**2 - 21*z.\nAnswer: -2*z**2 - 21*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 147*d**3\/4 + 2079*d**2\/4 - 1863*d\/4 + 405\/4 = 0.\nAnswer: -15, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3477745 (base 8) to base 3\nAnswer: -1210021111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 23*n + 49 + 0 = 3*f - 5*f, 0 = 4*f + 2*n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198665 is divided by 22071.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -13437 times 0.08\nAnswer: -1074.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tdttttttrqlrqdttq. Give prob of sequence ttlt.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 568415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-12) - (-13)\/4. Let t be (70\/(-2))\/(1\/(-4)). Suppose l = -z*l + t. Is 20 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88662201239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383*g + 392*g - 439*g - 730*g + 391*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 27*p**2 - 2*p + 49. Let f be r(27). Let u be 1 + -5 + 56 + f. Calculate the greatest common factor of u and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18 - 2 + 0 - 2 + 0 - 2 - 3 - 3 + 5 + (-5 + 1 + 3)*(-2 + 4 - 4))*(7*h + 4*h + h) to the form z*h + l and give z.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**3*q*z + 7*f**3*z**2 + 41*f**2*q*z**2 + 4*f**2 + f*q*z - 2*f*z wrt z?\nAnswer: 14*f**3 + 82*f**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-three fifths of a minute?\nAnswer: 396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38333, -37926, -37519, -37112?\nAnswer: -36705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*f + 6*f + f)*(-3*f + 0*f + 5*f) to m + j*f + v*f**2 and give v.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (1 - -1) - (10 - 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/6)*(i**(1\/15)*i*i*i)\/i*i*(i**(1\/31))**32)**12 assuming i is positive.\nAnswer: i**(7314\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*c**2 + 2*c**2 + 16*c**3 + 9*c**2.\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2029166 is divided by 1012354?\nAnswer: 4458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**5\/5 - 108*f**4\/5.\nAnswer: 2*f**4*(f - 54)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) + 139366\/6. Suppose -l + h = -0*l. Suppose -2*c + 3628 = l. What is c rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*a + 190 + 6. Let t(i) = -9*i**2 - 17. Let m(o) = -13*o**2 - 25. Determine a*t(q) + 5*m(q).\nAnswer: -2*q**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156207200 rounded to the nearest 1000000?\nAnswer: 1156000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -7. Solve 0 = -0*q - 3*q - m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/18)\/((-2)\/30). Let l be m\/10 - (-1 + 48). Let a be (l\/30)\/((-6)\/16). Solve 5*s + a = 3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/15104 and -57\/3776?\nAnswer: 15104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20200\/3 - 6732. Find r, given that s*r**3 + 0 + 8\/3*r**2 - 4*r = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4476018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u - 7. Let w be m(-5). Let a(l) = w*l - 3*l**2 + 4*l**2 - 2*l**2 + 1. Suppose -b = -v + 9, 3*b - b = 3*v - 22. What is a(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 35. Let h be j(27). Let d = -9 - -5. Let l be d\/h*(6 + 0). Solve -5*c = -s + 8, -s + c + 7 = -l*c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 40 = 6*h. Let k = h - -51. Let r(a) = 8*a**2 + a - 1. What is the remainder when k is divided by r(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 10*y - 3276 = 0. Suppose 2*t - y = 4*h, 3*h - 6*h = t - 244. Suppose 3*i = 2*w - 236, -2*w + 2 = -2*i - t. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*n**2 - 9*n + 11*n + 26*n**2.\nAnswer: 48*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1377453197.\nAnswer: 1377453197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/2 - 9*28\/(-84).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59389070287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55225\/19822 + -12\/901. Calculate the common denominator of -1\/14 and t.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 104 = 784. Suppose -2*n + 3*s + 45 = 0, 5*n + 0*s = -4*s + x. Suppose 0 = -5*t + 10 + n. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 9*s**2 + 3 + 1 + 1. Let m = -2 + 4. Let j(u) = -4*u**2 - 2. Let y = -58 - -63. Calculate m*x(t) + y*j(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 846 divide 389181650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 equal to -436159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + 7*d**2 + 4*d + 1. Calculate n(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (43 + -45 - (1 + 14)) - -4?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-80)\/(-45) + -2 + (-20)\/(-9). Let i(l) = -12 - 16 + l**c + 35 - 14. Determine i(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/104 and -31\/143.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -17*q + 275. Let a(b) = -32*b + 550. What is 2*a(s) - 5*h(s)?\nAnswer: 21*s - 275","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 (base 15) in base 2?\nAnswer: 1000001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -18, 0, -5, -1 in increasing order.\nAnswer: -18, -17, -5, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -22. Let b(l) = l**2 + 10*l + 23. Let d be b(-6). Let o be (-70)\/y - d*3. What is the third biggest value in o, 1, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 375750 (base 8) to base 7.\nAnswer: 1051036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5132.\nAnswer: 2, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - 3)\/(0 - -1). Suppose -n*s + 31 = 178. Let b = s + 83. What are the prime factors of b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 8:09 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -64277? (a) -3 (b) 4 (c) -0.1 (d) 97 (e) 0 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40030 by -5.\nAnswer: -8006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - 50*k**2 + 31*k**2 + 37*k**2)*(-32 + 96 + 37) to d*k**2 + p + f*k and give d.\nAnswer: 1818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 34 and -699?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1336)\/18)\/4 + -3)\/(5016\/22572).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 = -58*h + 398 + 37 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwllwwwvwwpyipww. Give prob of picking 1 i and 1 p.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3 - 15 = 0. Suppose 5*t - 2*t = f. Suppose 4*v = -4*u + 24, 0 = 2*u + 2*u + v - 30. Solve 0 = -3*q - u + t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 80*l + 663. Calculate w(-9).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4) + (-6)\/12. Let t = 18 - 36. Let a(h) = -h**3 - 17*h**2 + 18*h. Let w be a(t). Put 2, u, w in decreasing order.\nAnswer: 2, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o - 1. Let s(y) = 2*y**2 + y - 1. Let l(h) = m(h) - s(h). Let n(u) = -3*u**2 + 0*u**2 + u**2 + u**2. Give n(l(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 8. Let v(t) be the second derivative of -5*t**3\/6 + 26*t - 1. Calculate x(v(w)).\nAnswer: 5*w - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.773321ml in litres?\nAnswer: 0.000773321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, z: 3, c: 1, y: 3}. What is prob of picking 3 y?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21000311 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -0.1717484.\nAnswer: 0.03434968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 58*t + 702. Let a be m(-41). Solve -15 = -a*r, 2*p + 4*r + 2 = 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 4*c - 1. Let m be o(3). Suppose -4*j - 3*s - 3 = -4, -m*j - 3*s = 1. Let w be 1\/10 + 1\/(-5). Which is smaller: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 47930*h*t**2 - h + 1406*t + 1 wrt t.\nAnswer: 95860*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**2 - 857520*f - 36767027520 = 0. What is f?\nAnswer: -85752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/553 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 4*m + 10 - 5, 2*m = -3*j - 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3c698 - 3?\nAnswer: 3c695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + (3 + sqrt(5))**2 - (sqrt(5) + (2 + sqrt(20))**2) - (0 + sqrt(60)\/(sqrt(84)\/(sqrt(252) + sqrt(7)) + sqrt(12)))).\nAnswer: -93*sqrt(5)\/8 - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 4:46 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 44, 4, -5 in decreasing order.\nAnswer: 44, 4, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*q - w - 10, -2*q = -w - 4. Factor 4*y + 24*y**q - 11*y**4 + 2*y**3 - 38*y**4 + 16*y**3 + 3*y**3.\nAnswer: -y*(y - 1)*(7*y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -12, -19, -30, -45, -64, -87?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/7335 and 17\/123?\nAnswer: 300735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-56)\/(-110) - (-406)\/1015. Sort -0.3, l, 0.04 in ascending order.\nAnswer: -0.3, 0.04, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*g)*(g - 3*g + 3*g) + (-420*g - 151*g - 13*g)*(-3*g - g + 6*g).\nAnswer: -1166*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-1 + 1 + 0). Suppose -6 = -5*d - 3*s, d + 5*s - 10 = -w*d. Let v be (-322)\/(-92)*(-12)\/(-7). Solve 5*p - 2*b + 14 = d, 5*b - 3 = v*b for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5808147977 and 0.05396?\nAnswer: 5808147976.94604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 26 - 23846*g - 4 - 23844*g + 71524*g - 23864*g.\nAnswer: -30*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 - 570*i**2 + 7754*i - 67. What is s(13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 11. Let p = -2 - i. Solve 6 = -4*q + p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -3*b - 35, 2*b - 6*d + d + 15 = 0. Let k be b\/4*(-128)\/80. Suppose n + n = -g + 933, k*g - 4*n - 3780 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 3. Let u be d(-2). Suppose -5*g = -2*m - 19, -7*g = -2*g + 4*m - 7. Suppose -g*q = 2*q. Which is greater: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 257027\/1410 + -5887\/47. Let b = v + 25\/6. Let w = 62 - b. Sort 1, w, -2\/3.\nAnswer: -2\/3, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 775 + -777. What is the closest to w in -6, -1\/3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i + 8. Let b be 8\/(-2) + (-5 - -7). Let o be f(b). Solve -5*v - 6 = q, 5*v - 2 + o = -5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 8:41 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p - 1. Let d be 1 + (0 - 3)*-1. Determine z(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqq when three letters picked without replacement from iiiqiqimiqaaqaiqqaa?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**4\/12 - 5*j**3\/3 + j**2 - 16*j + 4. What is p(9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(((j*j\/j**(-4))\/j)\/j)*j**(-2))\/((j**(-3\/5)\/j)\/(j\/(j\/((j*(j*j**(2\/13))\/j)\/j)))))\/((j**(-1\/6)*j**5)\/(j**3\/(j\/j**6))) assuming j is positive.\nAnswer: j**(-31\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*z + 1347 = -2208 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/143 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 2*y**4\/3 - 5*y**3\/3 + y**2\/2 + y. Suppose -5*m - 42 = -2*g, 12*g = -2*m + 14*g - 12. Is n(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -3. Let v(m) = 2*m + 2. Calculate the remainder when v(4) is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48004 + 11998 = 706*t for t.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 - 7. Is v(5) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and 486.77832508204.\nAnswer: 486.27832508204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(203*c - 3 - 413*c + 198*c).\nAnswer: -24*c - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 15) to base 6\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/340 and 29\/5.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 9*q**2 + 295*q - 150*q - 145*q. Let y(j) = -2*j**2. Determine y(g(t)).\nAnswer: -162*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-12)\/s*s*s*(s*((s*s**(5\/6)*s*s)\/s)\/s*s)\/s)\/(s**5*(s*s**(1\/2)\/s)\/s) assuming s is positive.\nAnswer: s**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/12 and -71\/2964.\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -5, 5, -4 in descending order.\nAnswer: 5, -4, -5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 7, 2, -25.\nAnswer: -25, 2, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000102724376 rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 9*h + 20784 - 2*h**2 - 20784. Let c(y) = y. Determine v(c(w)).\nAnswer: -2*w**2 + 9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*r = -12, -2*u + 2*r + 6 + 0 = 0. Suppose u*z - 465 = -0*z. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*y**2 + 5*y**3 - 14*y**2 + (2*y + 0*y - 3*y)*(-3 + 4*y**2 + 3))*(-5*y + y + 3*y).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12513 - -4961. Calculate the smallest common multiple of l and 14.\nAnswer: 122318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 13) to base 16.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 - 9*c**2 + 13*c**2 - 2*c**2 - 8*c**2.\nAnswer: -6*c**2 - 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/35 and -64\/745?\nAnswer: 5215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 110698863 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 8*j - 80 = 4*j, 5*w + 5*j + 110 = 0. Let m = w + 18. Let h be 0 - (-9)\/(81\/m). Which is bigger: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2129*f - 4089 wrt f?\nAnswer: -2129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p - 1960. What is w(8)?\nAnswer: -1992","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-813)\/542)\/((9\/1)\/1)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 31 = l + 2*l, -d = -5*l + 5. Solve 11 = 3*m + 2*g - 12, 0 = d*m + 2*g - 33 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/10 + 51\/2. Let r(h) = -5*h**2 - 8 - h**2 + f*h - 34*h. Let o(g) = -4*g**2 - 4*g - 5 + g - 2*g. Give -8*o(d) + 5*r(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3 + -2 + 3*sqrt(243) + 4 + 0 + sqrt(243) + -1*sqrt(243) + -5)**2.\nAnswer: -162*sqrt(3) + 2196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9*(-119)\/(-102))\/(-21).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f**2 - 6*f**2 + f**2 - f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1)*(29 + 3 - 9)*(-2*w + 3*w + 2*w) as f + k*w and give k.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 3 + 1)*(-12 + 11 - 7) - 1 + 2 + 8)*(0*i**2 + 5*i**2 - 4*i**2)*(-i + 3*i + i) as o*i**3 + h*i**2 + b + s*i and give o.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115 - -1043. Does 32 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4325 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 0*b**6 + 0*b - 1\/70*b**7 + 3\/20*b**5 - b**2 + 0*b**3 + 1\/4*b**4 + 0. Let d(o) = 0. Calculate o.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 1 = -14. Suppose 3*p + 0*f - 10 = 5*f, -2 = k*p + f. Solve p = -3*c + 16 - 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 51710 = 2*d, 5*o - o = 3*d + 51705. Round o to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001011111100010101100 (base 2) to base 4.\nAnswer: 21133202230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 f when three letters picked without replacement from {f: 5, y: 5, o: 1}?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 10 = -t, 3*b + 5*t + 586 = 564 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 133 + 5 - (-19 - (-22 - 22)) - (0 + -4)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/126 + ((-418)\/(-77) - 6))\/(-3)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**5\/12 + z**4\/12 - 2*z**2. Let g be h(2). Let s = g - 17. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 3. Let c(w) = -3*w - 1. Let t be c(g). Let f be t\/10 + 14\/(-140). Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 2) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 2*i**3\/3 - i**2\/2 + 2*i + 1679. Let s(b) = -2*b**2 + b - 1. Give 3*k(t) + 4*s(t).\nAnswer: -2*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 697484 is divided by 170.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k + 4*k**2 - 67 + 67. Let w(t) = 7*t**2 - 7*t. Give 3*w(j) - 5*y(j).\nAnswer: j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*i**4 - 5*i**2 - 5*i - 3902 wrt i.\nAnswer: -32*i**3 - 10*i - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*g = 696, -2454 = -2*j - 5*g - 2135. Let z(m) = m**2 - 6*m - 8. Calculate the remainder when j is divided by z(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 408145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*h - 16. Suppose -103 = -5*f - 2*x + 175, -h*x + 16 = 0. Does 20 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {g: 2, x: 1, o: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - 3. Let a(m) = -m**2 - 13*m - 11. Let g be a(-10). Let b = g + p. Is 1\/28 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 753316865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100243 (base 7) to base 5.\nAnswer: 1020221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -42356*d. Let y(p) = p**2 - 879. Determine w(y(r)).\nAnswer: -42356*r**2 + 37230924","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 7*s - 1138. Give y(22).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4655 and 33516.\nAnswer: 167580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(-1\/4))*f*f*f*f*f\/f**0)**(11\/6)*((f*f*f**0*f)**14)**3 assuming f is positive.\nAnswer: f**(3233\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -36. Let r = o + 0. Which is the second smallest value? (a) r (b) -0.1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 14) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 39 = 35 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -258278252 less than 0.0312?\nAnswer: 258278252.0312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -619 - -624. Which is the smallest value? (a) -2 (b) -10 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 122.53 in 4, 0.12, -173?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*x - 2*x. Let o be ((-3)\/(-2))\/(x\/(-4)). Let q(n) = -n**2 + 3*n + 1. Let t be q(2). Do t and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 11) to base 5\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, i: 1, z: 2, w: 1, f: 1, q: 2}. Give prob of picking 1 w and 1 q.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 743 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 29*d**4\/12 - d**3\/3 - d**2\/2 + d. Suppose 5*l = 2*l - 3. Is m(l) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19712 divided by -28.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1268 or -1258?\nAnswer: -1268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.1, 0.4, 1, -828, 2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1593 + -1036. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -2. Let j = r + -9. Let o = 2.2 - 1.8. What is the third biggest value in -4, o, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.33 + 4. Let z = x + -0.65. Let g = 1 + -0.7. Which is the closest to g? (a) -2\/5 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-3)*(-18)\/21. Suppose 2*a + 3*r - 6 = -3, -z*r = -12. Sort 1, -5, a, -2.\nAnswer: -5, a, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 5. Suppose o - 4*j + 14 = v, -o = -2*j - 0 + 6. Suppose -89 = -o*b - 11. Calculate the highest common divisor of 26 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1766118140 take away -3692?\nAnswer: 1766121832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72782, -72795, -72848, -72959, -73146?\nAnswer: -73427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4725818, -4725816, -4725814, -4725812, -4725810?\n\"Answer: 2*v - 4725820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22.686 or 0.35?\nAnswer: 22.686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s + 90 = -23*s. Solve 5*x = -5*z + s, 4*z + 6*x - 13 = 3*x for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q**4 - q**3 + 9*q**2 - 25*q + 10. Let m(o) = -10*o**4 - o**3 + 19*o**2 - 50*o + 20. Let s(d) = 6*m(d) - 11*u(d). Factor s(i).\nAnswer: -5*(i - 1)**3*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**5\/40 + b**4\/8 - b**3\/4 + b**2\/4 - 15*b. Factor d(x).\nAnswer: -(x - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -123 + 60. Which is greater: o or -62?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/423, -3\/5, -0.3, -83, 0.2, -1\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (-2 - 4) - (-7)\/4. Which is the closest to h? (a) 5\/3 (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 910, 864, 804, 724, 618?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8274, 16549, 24824, 33099, 41374, 49649?\nAnswer: 57924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 7*v**2 - 6*v + 6. Let m be z(6). Suppose m = g - 16. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v + 2. Suppose -2*m = 4*k - 16, -4 = -m - 3*k + 8. Suppose -h + 4 + 0 = m. What is n(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 6*c**3 + 3465*c**2 + 499392*c - 250563 = 0.\nAnswer: -289, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - (44 - 50)) + 5 + 12.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81587 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*x - 227, -45*u - x = -48*u + 136. Calculate the smallest common multiple of 7090 and u.\nAnswer: 63810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130400764 to the power of 1\/2, to the nearest integer?\nAnswer: 11419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/8347698 and -7\/2782566?\nAnswer: 8347698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-5) + (-26)\/(-5). Calculate the highest common divisor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 801352 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2432631 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3703 (base 10) to base 15.\nAnswer: 116d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -7. Let m = 11 + b. Let y(r) = -r**3 - 7*r**2 + 8*r + 53. Let f be y(-7). Sort m, f, -5.\nAnswer: -5, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11 + -1)*69\/6. Suppose -2*y + h = -5*x, -2*y + y + 30 = 3*x. What is t in -t**4 + y*t - 45*t + t**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 >= 20453\/232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*z - 6*z. Let j = z - -5. Let p be (-6)\/(5 - j) - -65. What is p rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-149124)\/(-4658) - (-28)\/(-1918)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 192\/324*(7830\/420 - 18)\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from wdwwwrwxwfrxwxxw?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 5*j - 6 + 9 in the form g*j + i and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58393191 or 58393192?\nAnswer: 58393192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3230)\/(-76))\/17)\/(1*10).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203068*d**3 - 106174*d**3 + 122590*d**3.\nAnswer: 219484*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - 836a?\nAnswer: -8379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -320 + 319.538. Let n = -0.062 - d. Which is the closest to -1\/5? (a) n (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 962703.\nAnswer: 3, 7, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -483618, -967236, -1450854, -1934472?\nAnswer: -2418090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1141422 to the nearest one thousand.\nAnswer: -1141000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -15*o + 20. Suppose 5*g + 0*d + 4*d = 13, -5*g - d = -22. Let m(j) = 10*j - 13. Let w(b) = g*u(b) + 8*m(b). Find the first derivative of w(v) wrt v.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + 25 - -2 - (2 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 116\/16 - 26\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.1 + 10.2. Which is smaller: b or 36?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900) + (sqrt(900) - sqrt(900)*-3) - sqrt(900))\/((sqrt(24) + (sqrt(24) - -1*sqrt(24) - sqrt(24)))\/sqrt(8)) + 0.\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of 0 + 0*k + 1\/120*k**6 - 37*k**2 + 1\/24*k**4 - 1\/60*k**5 + 1\/6*k**3. Let y be a(0). Solve -y - 4 = -5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -172.06 + 175. Let z = w - 3. Let x = 3.94 - z. Which is the biggest value? (a) 0.3 (b) x (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 13 - 4 = 4*w, 0 = -2*r + 2*w + 18. Solve -2*l + r = -3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1)**(-10)*(z*z**(-1)*z)**(-8))\/((z**(-9)*z**(-4)\/z)\/(z\/z**0)**24) assuming z is positive.\nAnswer: z**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -26*f - 30. Let b(s) = 5*s + 6. Let m(g) = 16*b(g) + 3*v(g). Let u = 20 - 20. Let p(c) = 3*c - 2*c - 7 - 3*c + u. Determine -6*m(x) - 5*p(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - d - 2*d. Let c(g) be the second derivative of 0*g**2 + 7*g + 0*g**3 + 1\/12*g**4 + 0. Determine r(c(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100001010100101 (base 2) to base 12.\nAnswer: -24a05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**3 - 3*h**2 + 271670*h - 32328246.\nAnswer: -3*h**2 - 6*h + 271670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**14\/m**(-1\/15))\/(((m*m**(-4)\/m)\/m)\/((m**(-6\/13)*m*m)\/m)))**23 assuming m is positive.\nAnswer: m**(87929\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + 3 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*j**2 - 2*j**3 - 1689*j + 73*j**2 - 35*j**2.\nAnswer: -2*j**3 - 1689*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 748 less than -0.79?\nAnswer: -748.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 54873 and 0.03212.\nAnswer: 54873.03212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6376 is divided by 94.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g - 1. Let q(l) = l. Let a(f) = -2*q(f) + 2*t(f). Suppose -3*c + 3 = -5*h, -4*c + 0*c = -2*h - 18. What is the units digit of a(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1645 in -0.047, -0.3, 27, -0.1?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**2 + 0*p**2 + 2*p**2 + 3*p**2 - 11*p**2.\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -2\/7, 25, -49, 50, 5?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 218 + -152. Suppose -3*r - 4*a + 48 = -f, 5*r - 2*a - 164 = 0. Calculate the greatest common divisor of r and 493.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.5 - -3. Let o = 0.4 + -0.5. Let r = -0.5 - o. Sort -2, r, h.\nAnswer: -2, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**2*v**3 + 9*c**2*v**2 + c**2*v - 2*c*v + 2*v**4 + 158*v**3 + 2 wrt v?\nAnswer: 12*c**2 + 48*v + 948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 7*g**4\/4 - 27*g**3 - 2*g - 50. Find the second derivative of c(d) wrt d.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211, -307, -403?\nAnswer: -499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + k**2 + 2*k + 7. Let v be t(3). Put v, 2, -3 in descending order.\nAnswer: 2, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 - 13)\/((-4)\/924) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3384 and 48.\nAnswer: 6768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 11 = 3*z, 2*l = 5*z - 3 - 19. Solve -z*k + 14 = 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 5*x**2 - x + 2. Let a be l(5). Let p(i) = -5*i**2 - i**2 - i**3 + 3 + 2*i**2 - i. Give p(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -55*b**3 + 2*b - 1. Let y be n(1). Let t = 1 + -2. Is t\/(-4) - y\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 66*f**2 + 50*f + 454. What are the prime factors of w(-10)?\nAnswer: 2, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*q**3 + 8*q**3 + 3*q + 17*q**3 - 22 + 0*q - 11*q**3 to t*q**3 + h + z*q**2 + g*q and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/15))**(4\/17)\/((k\/(k*k**5))\/k)**(2\/99) assuming k is positive.\nAnswer: k**(128\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 2*k - 5. Let b be u(4). Let t(w) = -w + 3. Let v(i) be the second derivative of i**2 - 2*i. Let l(g) = -3*t(g) + 5*v(g). What is l(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 9:00 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -4. Suppose 4 = -0*w + y*w. Let x = 7 + -2. Which is the closest to 2? (a) x (b) w (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/((-9790)\/(-1275)) + 33\/6 + -5. Which is greater: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-6)*(-36)\/(-48)*352\/99.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 19088973?\nAnswer: 19088972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 209*w - 3029 + 413*w**4 - 209*w with respect to w.\nAnswer: 1652*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 4\/5, 3\/46, 10, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*b, -x + 17 = -b + 24 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251627?\nAnswer: 31, 8117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 782.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412385514 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l**2 - 34*l**3 - 2*l**3 + 42*l**3 + 4*l**3 - 9. Let u(t) = -t**3 + 1. Suppose -5*d + 25 = 5*s, 3 + 14 = 4*s + 3*d. Calculate s*n(y) + 18*u(y).\nAnswer: 2*y**3 - 10*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5427, 21814, 49001, 86988, 135775, 195362?\nAnswer: 265749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 5*v + v**3 - 3*v**3 + 0*v**3 + 2. Let u(c) = 8 + 2 - c**2 - 9. What is a(s) - 5*u(s)?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 76 - 58. Let g = 253322.6 - 253340.599985. Let w = g + i. Round w to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -134*w**4 + 3*w - 1 wrt w.\nAnswer: -1608*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -3*o**4 + 1488*o**3 + 116514*o**2 + 2397384*o + 9261945 = 0.\nAnswer: -33, -5, 567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6077977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 619, 619, 623, 631?\nAnswer: 643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2 + 63 = 0. Let r be 2\/3 + (10\/3)\/1. Suppose 3*f = r + 11. Solve -2 - z = -f*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5 = 3*k, -2*k + 7 = -2*q + 3*k. Let t = q + 17. Suppose -15 = -26*x + t*x. Solve 4*l + i + 0 - 5 = 0, 3*l = -x*i + 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185579 is divided by 46394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h*q**3 + 2*h*q**2 + 3932*h*v**4 + 5*h*v - 12*q**3*v - 139*q**2 + 38 with respect to v.\nAnswer: 15728*h*v**3 + 5*h - 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*j - 537 = -3*d, 541 = d - 2*j. Let q be ((-9)\/(-3))\/15 - d\/(-25). Suppose -28 = 15*u - q*u. Solve 0*i + u*i = -20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*m - 122137 = -2303413. Is 31 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**4 + y**5 - y**4 + (-2 + 2 - 3)*(0*y**2 + 0*y**2 - 2*y**5).\nAnswer: 7*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3083890428?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 8 = -0*f - 76. What is the greatest common divisor of 510 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/12)*d\/(d\/((d*d**7)\/d*d)))\/(d**(-2\/3))**48 assuming d is positive.\nAnswer: d**(479\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 + 2*y**4 - 3*y**4 + 3*y**4 - 4*y**4 - y**4 + (y**3 - 4*y**3 + y**3)*(0 + y + 0) + 39*y**4 + 254*y - 248*y - 72*y**4)*(3*y - 5*y + 3*y).\nAnswer: -39*y**5 + 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -29*w**2 + 148*w + 582. Calculate g(-4).\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**5\/5 - 6532*g**4\/5 - 26106*g**3\/5 + 39172*g**2\/5 + 26107*g\/5 - 6528 = 0.\nAnswer: -6528, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 150 + -155. Which is the second biggest value? (a) o (b) -0.2 (c) 5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6766 + -0.55. Round z to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 163 + 177. Let g = -66 - h. Solve -g*n - n - 11 = -r, -2*r = 4*n + 8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-15) - 52\/(-10). Let k(m) = -5*m + m + 1 + 7*m - u*m. Let p = 4 + -2. Give k(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 12:54 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9592 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 383841716 and 3812?\nAnswer: 3812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 82*f**2 - 3*f - 2. Let b be k(2). What is the highest common factor of b and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12311 (base 4) to base 2.\nAnswer: 110110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -775 (base 10) to base 14\nAnswer: -3d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.5 + 16.5. Let k = s + -11. Which is the closest to -1? (a) 0.4 (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29218 - -29218.1. Which is the third smallest value? (a) 2\/5 (b) f (c) 2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 39, 47, 55?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -14*a**3 + a + 1. Give d(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/30 + (16\/6 - 2). Let i be 22*(3\/(-6) + m). Suppose 5*o = 62 + 103. What is the highest common factor of o and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 481\/119 + -3738089\/924749. Which is smaller: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (436*m - 23*m**3 - 436*m + (-2*m**2 + 3*m - 3*m)*(4 - m - 4))*(m**2 - 3*m**2 + 6*m**2 + (2*m + 0*m - 3*m)*(0*m + 2*m + 0*m)).\nAnswer: -42*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*3\/(-6)*-4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3, 3*f - 5*m + 182 = 1395. What are the prime factors of f?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a20 (base 14) to base 3\nAnswer: -2201122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(9) - sqrt(900)*-2) + sqrt(34)\/(sqrt(2) - 2*(sqrt(2) + sqrt(2)*-2)).\nAnswer: 8*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 + 14 = 3*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 1:20 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (8 - 0 - 15).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, x: 2, e: 5}. What is prob of picking 2 x?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -33, -68, -105, -144, -185?\n\"Answer: -o**2 - 32*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/15 - 6860828*m\/15 + 5883870105698\/15.\nAnswer: 2*(m - 1715207)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(((-2520)\/16)\/(-21)). Sort 3\/10, -3\/5, f, 87.\nAnswer: -3\/5, f, 3\/10, 87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**4 + 45*v**3 + 86*v**2 = 0.\nAnswer: -43, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -9, 0 in increasing order.\nAnswer: -9, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 10:09 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 236 + -83. List the prime factors of w.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 41 = -5*w, 0*w + 4 = w + 2*o. Calculate the remainder when 188 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) -0.4 (b) 4 (c) -4\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**4\/2 - 93639*b**3\/2 - 280899*b**2\/2 + 842751*b\/2 + 1264086 = 0.\nAnswer: -93636, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 9 + (4 - (7 + -3)) + 8\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zriiiiziizir. What is prob of sequence zr?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 21 + 26 = 0. Solve -3*j = 2*j + t for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 271656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 3*v**2 - 5*v + 8. Let w(q) = -q + 1. Determine 2*d(b) + 10*w(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*r = 6, 0*r - r = 0. Suppose -4 = -x - i*n + 69, 3*n = -12. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 887197643 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -1 - (11 - (-6 + -7 + 19))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, u: 1, q: 4, n: 1, l: 1}. Give prob of picking 1 b and 2 q.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1 - 4 - 176*f + 197*f. Let t be w(4). What is the tens digit of t - (4 - (5 - 1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 4*s**2 + 3*s - 3. Suppose -t - 24*w = -22*w - 4, -45 = -3*t + 5*w. Suppose 80 + t = -15*r. Determine m(r).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1169*o + 1165*o - 2*u, 0 = -3*o - 3*u. Solve 2*h + 12*r - 9*r - 5 = o, -5*r + 3 = -2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -65. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10.6 (b) -3 (c) -165 (d) 0.2 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 2*u**3\/3 - 1. Let g(z) be the second derivative of -17*z**4 + 34*z + 19*z**4 + 74*z. Give g(k(r)).\nAnswer: 96*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*72\/(-36).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 7 - 53 = -3*f, -2 = -f - 5*a. Let t be 1 + 0 - (f + -4). Let y be (2 - t\/(-3)) + 2. Let b(s) = -s**2 - s + 3. Give b(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*y**5 - 5*y**4 - 195632*y**3 - 12496630*y**2.\nAnswer: 180*y**2 - 120*y - 1173792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 216 from 46.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 - -0.2. Let z = -2.3 + 0.9. Let g = -1.7 - z. What is the third smallest value in r, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 672059834?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 8, 2*c - 7*c + 4058 = -2*r. List the prime factors of -6 + (-2)\/(12\/r).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*d + 5*d - 15, -2*d + 6 = 5*k. Suppose k = 293*h - 296*h + 60. Solve -6 = 2*z + 2*l, 4*z - 4*l + h = -0*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -610 or -11562\/19?\nAnswer: -11562\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.002838 kilometers to nanometers.\nAnswer: 2838000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((5\/3)\/1)\/(13\/975). Suppose 13*k + 21 = q. Let v be 2\/3*(4 - (-4)\/k). Solve v*m - 4*w - 22 = 0, -4*w + 2 = 3*m - 3*w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ajjxkdjakakak. What is prob of sequence jakj?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 819969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 2:05 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12973, -103842, -350481, -830776, -1622613?\nAnswer: -2803878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 72. What is the remainder when c is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3\/7 + 8809*o**2\/7 + 2779536*o + 251451252\/7 = 0. What is o?\nAnswer: -4398, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 30*z**2 - 47*z - 43. Is q(23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45810202 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 244 + -241. Put 0, j, 5 in decreasing order.\nAnswer: 5, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 1. Let p(f) = 2*f. Determine 3*n(q) + 3*p(q).\nAnswer: 3*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 149*a**2 - 308*a**2 + 156*a**2. Let l(b) = -87*b. What is l(d(o))?\nAnswer: 261*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 164814653*u - 6.\nAnswer: -164814653*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 440811?\nAnswer: 3, 7, 6997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) + 0 + 2 + sqrt(208) + -4*1*sqrt(208))*6*6)**2 + -2.\nAnswer: -41472*sqrt(13) + 1083454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 19, -1\/3, 35, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5177, -20620, -46359, -82394, -128725, -185352?\nAnswer: -252275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21 or 284\/13?\nAnswer: 284\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 1. Let j(a) = a**2 - 2*a - 2. Let w(s) = -10*h(s) - 5*j(s). Let y(z) = -2*z**2. Calculate y(w(p)).\nAnswer: -50*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k + 24. Let c(s) = -s - 3. What is 5*c(b) + o(b)?\nAnswer: -2*b + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1462 and 344?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 244720861783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80 + 83. Let t(a) be the first derivative of -5 + 0*a - 2*a**b - 27\/4*a**4 - 21\/5*a**5 + 0*a**2. Factor t(w).\nAnswer: -3*w**2*(w + 1)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/(-2))\/(-18))\/((-1)\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-c + 2*c + c)*(78 - 229 + 3230) in the form p + o*c and give o.\nAnswer: 6158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 965611942 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1083929, 4335725, 9755387, 17342915, 27098309, 39021569?\nAnswer: 53112695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -290*r**3 - 2*r**2 + 2592*r - 5182. Give g(2).\nAnswer: -2326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41988.\nAnswer: 2, 3, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2114 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**7\/42 + 3*s**6\/5 - 133*s**5\/5 + 381*s**4\/2 + 945*s**3\/2 + 151*s + 10. Factor o(x).\nAnswer: x*(x - 9)**2*(x + 1)*(x + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -17*r**2 - r. Let t = -110 - -109. Give b(t).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -2*o**2 - 40*o - 23. Let x = -30 - -16. Let k be y(x). Calculate the highest common divisor of k and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -944 divided by 8.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 44*n - 86. Let k be p(2). What is the greatest common divisor of k and 114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 46. Let m = i + -4. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5708 divided by 1427.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64827 + 12153 = 6280*p + 361806 for p.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 7*o = 4*o + 2, -2*k - 2*o = -2. Let u be (-5)\/k + -6 + 5. Let m(r) = 3*r**2 - 4*r + 4. Is 18 a factor of m(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 + 40*d - 16. Let m be g(19). What is the greatest common factor of 231 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**3 - i + 2 + 21*i**2 - 3*i**3 - 21*i**2. What is x(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 10\/3 of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 9*r + 9. Let f be l(8). Put 2, -3, f in decreasing order.\nAnswer: 2, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 243 + -242.719. Let x = 0.181 - k. What is the third biggest value in -0.16, x, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*g*x**3 + 55*g*x**2 + 7529*x**3 + 1282*x**2 wrt x?\nAnswer: -42*g + 45174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 11:29 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 5:13 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -21795 divided by 5?\nAnswer: -4359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n - 52 - 53 = -29*n. Let r(h) be the first derivative of 0*h - 2\/3*h**3 - n + h**2. Factor r(c).\nAnswer: -2*c*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + l = -4, -4*h - 6*l - 17 = -l. Let j = -22 + 45. What is the remainder when j is divided by (7\/h)\/(-8 - (-282)\/36)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3492 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s + 66792000 = 40*s. Round s to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74114 is divided by 207.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 91c + 1?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 12:03 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 + 6*o + 4. Let b be n(3). Suppose 2*f = -b*y + 82, 156 = 3*f - 3*y + 15. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20584483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.94 - 0.06. Let j = y + 5.3. Let d = 2.1 + -2. Which is the nearest to d? (a) 3 (b) -3\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + v**2 - 2*v**2 - v**2 + 2 - 2 - 2*v**2 - 2*v + 2*v + (3*v + 2*v - 3*v)*(-3*v - 2*v + 4*v) - v**2 + 0 + 0 - 2*v**2 + 4 - 4 + v**2 - 9*v - v + v.\nAnswer: -8*v**2 - 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 309, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 - 3*c + 1. Suppose -23 + 31 = -k - 5*f, -7 = 2*k + f. Determine d(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 177 - 1415\/8. Let m = -447.07 + 445. Let r = m + 2. What is the third biggest value in 4, c, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 q when three letters picked without replacement from {i: 1, m: 2, f: 8, c: 2, q: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 247957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -326772*k + 12109. Is o(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(700) + 0 + 0 + sqrt(700) + sqrt(700)*4 + -2)**2 + 5).\nAnswer: -75627 + 720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4474, 9031, 13588?\n\"Answer: 4557*w - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5550221435 - -5550221408.00000051. Let o = -26.74 - 0.26. Let g = o - q. Round g to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000285719 rounded to 7 decimal places?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 825 = -9*h + 4*h, 2*y = 4*h + 1594. List the prime factors of (-1)\/4 - y\/(-20).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -672 + 695. Calculate the remainder when k is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3235807 is divided by 2568?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k + 92. What is the remainder when 171 is divided by v(-2)?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40619748.\nAnswer: 2, 3, 13, 23, 11321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46609\/17270 - -2\/1727. Let y = 13\/15 - x. What is the common denominator of 4\/7 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 5) to base 15\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 18*q - 38. Let a = -126 + 106. Let s be l(a). Suppose -10*f + 8*f + 709 = 5*j, 6 = -s*f. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*h = 224*h + 160371. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 1:08 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 2*z + 2. Suppose 0 = -2*f + p - 1, f = 2*f + 4*p - 22. Calculate k(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6271*u**2 - 119159*u + 185. Give a(19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -31. Let c = -0.05 + 2.05. Let p = -3 + c. What is the biggest value in p, k, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71 and 353580?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 4*j, -2*w - 53 = -0*w + 6*j - 27 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 10*11*(-9)\/(180\/(-8)).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.020806 and 13019248.6?\nAnswer: 13019248.579194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49\/57 - 10\/19. Let y = 1.6 - -1.4. What is the biggest value in g, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1408, -2814, -4230, -5662, -7116, -8598, -10114?\nAnswer: -11670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, 0.03, -1.3, 1, 0.5, 88.\nAnswer: -1.3, 0.03, 2\/15, 0.5, 1, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/22737 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 6 = -3*h, -5*q - 31 + 16 = -5*h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 2*s**2 - 6*s - 5. Suppose 3*h + 2 = 14. Let k be q(h). Solve 0 = k*y + y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9044742.\nAnswer: 2, 3, 7, 215351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, z: 6}. What is prob of sequence zuz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**4\/6 - 587*r**2. Let k(w) = -8*w + 6. Give p(k(v)).\nAnswer: -32*v + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1700) + 4 + sqrt(1700)*-2 + 3 + sqrt(1700)*-1*-1 + 5*(0 + sqrt(1700)))**2.\nAnswer: 600*sqrt(17) + 42536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/42*45\/((-1755)\/(-52))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1739.3599 to the nearest ten.\nAnswer: -1740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**5 - 2280*b**4 + 19869*b**3 + 305076*b**2 + 999036*b + 973296 = 0?\nAnswer: -4, -3, -2, 18, 751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l - 10743313 + 5371655 + 5371658 - l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (16 + -14 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k**4 + k + k)*(570*k + 3254*k + 2397*k).\nAnswer: 6221*k**5 + 12442*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**3\/4 + 19866*j**2 - 130674192*j - 11653682304 = 0. What is j?\nAnswer: -88, 13288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f + 18. Let x be y(-6). Suppose 3*m - 12 = -3*a - m, 3*m = 0. What is the third derivative of -a*c**6 - 3*c**2 + 8*c**6 + c**x wrt c?\nAnswer: 600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 730 - 327. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 22*r - 44. What is the remainder when 142 is divided by a(6)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76119 is divided by 3832.\nAnswer: 3311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 60200379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, u: 4}. What is prob of sequence fu?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 2\/(-3) + (-263)\/(-3). Suppose -w = 2*f - 4*f. Let u = 47 - f. Is u greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*3\/(36\/16). Let c = a - 12. Let o(q) = -q**3 - 4*q**2 - 1. Determine o(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/228 and -69\/4?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 11 = 8. Let n be 3*-1 + (1 - k). Let o(s) = 21*s**2 - 11*s + 7. Is o(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 + 2*q. What is i(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 - -47. Let o(r) = -6*r**2 + 5*r + 5. Let n(w) = -w**2 + w + 1. Suppose -4*s - s + 5*t = -15, -3*t + 21 = 3*s. Give k*o(g) + s*n(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 5\/3 (b) -404 (c) -3 (d) -33\/2 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*s + 2564 = -2395, -5*t + 6220 = -2*s. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 349043738?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(700))*-4 + -5*(1 + sqrt(700)))*4 - -1*(6*1*sqrt(700) - (sqrt(700)*1 + sqrt(700))*-1).\nAnswer: -280*sqrt(7) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 - 2*b**2 + 3*b**2)*(2 + 4 - 3) - 2*b**2 + b**2 + 0*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/2)\/4*((-180)\/(-84))\/15.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a - 60 = -4*q + 7, -709*a + 712*a - 6 = 3*q for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, r: 3, w: 3, b: 8}. What is prob of sequence bm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -dc (base 14) in base 9?\nAnswer: -235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 711*a**2 - a**4 + 3*a**4 + 713*a**2 - 2*a in the form p + k*a**4 + b*a + m*a**3 + v*a**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12110 + 114615?\nAnswer: 102505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 1205*k - 39781. Give l(33).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-10)*((-75)\/(-5))\/5.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 7*x + 29. Calculate p(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, -5, 4.18, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(720) + (2*sqrt(720))**2 + 1 + sqrt(720) + (sqrt(720) + 1)**2 + 1 - (0 + (sqrt(720)*-2*4 - sqrt(720)) + (-2*-1*sqrt(720))**2).\nAnswer: 156*sqrt(5) + 728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -668*p - 58818 = 301*p + 528*p - 9417 for p.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c**2 + 5. Let f(j) = 1. What is 10*f(u) - 2*x(u)?\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 750?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-7)\/21*2\/5.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-66)*(15\/(-2))\/(-5). Is r greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(85) + sqrt(85)*-1)*6)\/(-1*sqrt(45)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263.6532891 + -3.\nAnswer: 260.6532891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i + 3. Let h(k) = -k - 1. Let f(l) = 17*h(l) + 6*v(l). Let z be f(-1). Let c be (z\/3 + 0)\/2. Solve -c = -5*a + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.1607708*-0.3.\nAnswer: 3.94823124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/((-352)\/55))\/(-1*5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4344 + -2699. Is 47 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -1.2 (b) -0.5 (c) 2\/39 (d) 1\/8 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 13*a + 2. Suppose 5*d = 3*w + 50, 28 = -3*w - w - 3*d. Let x be w\/(-4)*48\/20. Is 29 a factor of t(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 11*z**2 + 5*z. Suppose 0 = 7*b + 21*b - 140. Let p(m) = -5*m**2 - 2*m. Give b*p(u) + 2*i(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((5 + -1 + sqrt(304) + sqrt(304) + sqrt(304) + (0 + sqrt(304))*6 + sqrt(304))**2 + -1) + 0.\nAnswer: 1920*sqrt(19) + 182490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 16025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -10*w - 20. Suppose 2*b + w = 4*g, 5*b + 25 = -4*g - g. Solve -z + 2*z + 5 = g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 504651 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -49435.047447 and -0.03?\nAnswer: 49435.017447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 417548 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 1032?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*s - 16, 4*p = -3*s - 0*s + 8. Let l = -1 + p. What is the smallest common multiple of ((-6)\/(-4))\/(l\/(-12)) and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**4\/12 + 21*t**2\/2 - 20*t. Let z be x(5). Suppose -18 = -k - 4*f, -5*k + 48 = 2*f + 12. Sort z, 3, k in decreasing order.\nAnswer: k, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17473 + 349559\/20. Find the common denominator of (-1335)\/2088 + (-5)\/(-10) and d.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(18\/500)*(-146640)\/(-26). Let g be r\/(2*(-1)\/(-4)). Round g to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8*215\/172)\/(4\/(-10))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 + -2670596.\nAnswer: -2670596.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -6. What is the remainder when ((-34)\/(-17))\/((-24)\/(-40) - (-413)\/(-705)) is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 = o + 235. Calculate the common denominator of -143\/246 and o.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 23 - 10*h)*(-130*h**3 + 982*h**3 - 165*h**3 + 676*h**3).\nAnswer: -13630*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2432\/3 - 821. Is z at least as big as -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1287 and 18.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/(-132) - (-1)\/33*-6\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 7. Let q be w(-10). Let s be (36\/8)\/9 - (-1)\/(-2). Let k be -3 - (0 + -12 + (s - 0)). Solve 3*i + q = -k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1430\/17 - (-2)\/(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1083, 1758, 2433, 3108?\nAnswer: 3783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 667, 661, 657, 655?\nAnswer: 655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. Which is the second smallest value? (a) 3 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - 4. Let i = 11 + a. What is the third smallest value in -1\/3, i, 3\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**6\/120 - 2*g**5\/15 - g**4\/3 - 7*g**3\/6 + g**2. Let o be y(-6). Is (o\/4)\/((-4)\/16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/296514 and -75\/646.\nAnswer: 296514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/18 and -73\/456.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -285465 times -0.4\nAnswer: 114186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/2 + 369\/(-492))\/(6\/(-40)). Sort -7, j, 1, -2, 2 in increasing order.\nAnswer: -7, -2, 1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3021262.34 - 57.\nAnswer: -3021319.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.3 + -9.3000061. Round l to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33\/4? (a) -1\/2 (b) 0.4 (c) -8\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 236256 divided by 78752\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 + 3. Let q(f) = -5*f**2 + 8. Let k(z) = 3*q(z) - 8*w(z). Suppose k(j) = 0. Calculate j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 1)*(-16 - -5)\/(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*q + q - 30, -3*s - 2*q = -85. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81*i**3 + 77 - 2*i**2 - 77 + 0*i**2 to r*i**2 + x + b*i**3 + y*i and give b.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 921*h**2 - 2*h - 2 - 2*h**3 + 4 - 919*h**2 + h to the form i*h + g + y*h**2 + t*h**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y. Let f(j) = 5*j**2 - 2. Let o(k) = k**2 - 1. Let m(x) = f(x) - 2*o(x). Give m(w(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from eehehhewwhhhweeew.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 257, -14, -21320 in descending order.\nAnswer: 257, -14, -21320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 927 + -925. Let r(c) = -c + 6. Let g be r(5). Solve g - 11 = -k*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 2 - 2 - -2. What is the derivative of -3 + 1 + c - 9*b**2 wrt b?\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 134*x - 2. Let h(l) = 3*l**2. Calculate h(g(i)).\nAnswer: 53868*i**2 - 1608*i + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.072, 5, -4, 236.7, -1\/3?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/1400 and -2\/875.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 2, 36 in descending order.\nAnswer: 36, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615202 is divided by 48?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 10 = -2*d - 5*m, 2*m - 28 = 3*d. Let g = -28 - d. Let l be (-2)\/(-9) - g\/72. Which is the second smallest value? (a) -0.2 (b) -1\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*j - 1579 = -1243 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 15797557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7293 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67\/6 - 2089\/186. Which is greater: -4\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 104*f. Let z(l) = -24851*l**2 + 50. Give z(c(h)).\nAnswer: -268788416*h**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 11, m: 7, h: 1}. What is prob of sequence huh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j - 22. Let r be b(11). Let u = -4 + 15. What is the second biggest value in u, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -3332?\nAnswer: -3321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1921*t + 31035 + 15069 = 0 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2611 - 1360. What is the greatest common factor of v and 126?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 22*i + 53. List the prime factors of c(10).\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 5 + 7. Suppose -l*t + 31 + 5 = 0. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.16 + 0.19. Let z = x + 2.97. Which is greater: z or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t. Let u be (4 + 243\/(-63))*21. Suppose -11 = -2*x - 2*x + 3*w, u*w + 9 = 3*x. Let i(b) = b + 1. What is x*i(h) - 2*a(h)?\nAnswer: -4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h**2 + 10*h + 31. List the prime factors of l(-5).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72334 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460166.\nAnswer: 2, 7, 32869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0 - 3 + 2 + 3 + (-2 + 1 - 1)*(-2 + 4 - 4) - 1 + 4 - 1 + 0 + 0 + 2)*(-13*p**2 + 2*p**2 - 16*p**2)*(0*p + 0*p - 2*p).\nAnswer: 432*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d - 80 = -64*d. Solve c + 3*y - 3 = 0, 7*c + 5 = 4*c - d*y for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**4\/12 + l**3\/6 - 2*l**2. What is the remainder when k(6) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4850280 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78836574.\nAnswer: 2, 3, 13139429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 10055231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 9:21 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153331108?\nAnswer: 2, 7, 37, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 23, 9.993, -0.1, 1 in decreasing order.\nAnswer: 23, 9.993, 5, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47594.39mm to centimeters.\nAnswer: 4759.439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -706549 and -0.32.\nAnswer: -706549.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 558776, 558581, 558386?\nAnswer: 558191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-221)\/663*1\/((-22)\/(-12)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -4. Let w = s + 2. Let t be 15\/10*(-8)\/(-42). Which is the second smallest value? (a) w (b) 0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d**2 + 17*d + 16. Let l be j(4). Sort l, -3, -458.\nAnswer: -458, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -8*n**3 - 76*n**2 - 126*n + 32. What is x(-2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -442, -3, 0.3, -2, -5 in increasing order.\nAnswer: -442, -5, -3, -2, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 27*p**2 + 177*p - 86. Determine y(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 250 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1495*d**2 - 1484*d**2 + 27*d + 2980*d**2.\nAnswer: d**2 + 27*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 110.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1002 - -15?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-650)\/30)\/13 - 8232\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Let j = 5 - g. Suppose 3*l = 3*w - w + 21, 0 = -j*l - w + 12. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*t + 26*t - 41*t**2 - 47*t.\nAnswer: -41*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 271 - 172. Suppose -7*w = 36 - q. Find the second derivative of -13*k**2 - 17*k - 21*k - w*k**2 wrt k.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*f = 0, 0 = 2*v + f + 4 - 7. Let j(l) = 21*l**2 - l + 1. Give j(v).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t + 6 = 0. Suppose -t*c - 41 = -4*y, -5*y + 2*c = 4*c - 57. Let f = -52 - -96. Calculate the highest common divisor of f and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2057*h - 1869*h + 744*h = 774*h + 233404 for h.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 4*d + 10, -5*n - 3*d = -4*d + 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5 - 5 + 5*v - 11. Let c be z(7). Is 1 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -3, 1\/7, 4 in descending order.\nAnswer: 4, 2\/11, 1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 32 = -5*v + v, 0 = -5*f + 5*v. Solve -3*h = -8*h - 5*o, 5 = -3*h - f*o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-134 - -147) + -29 + -1 + 42?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6099 is divided by 6082?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8877, -35543, -79957, -142095, -221933, -319447, -434613, -567407?\n\"Answer: 4*z**3 - 8898*z**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3406, -6820, -10238, -13660, -17086, -20516?\nAnswer: -23950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1918095.\nAnswer: 3, 5, 127873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + q**2 - q. Let v(p) be the first derivative of 3*p**4 + p**3 + p**2 - 10. Let u(x) = 3*s(x) - v(x). Find the second derivative of u(o) wrt o.\nAnswer: -54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((16\/24)\/((-2)\/9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 + 10*j - 9. Calculate g(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/25 and 83\/75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -2*h + 474, -2*h - 274 = m - 713. Calculate the remainder when h is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61023?\nAnswer: 3, 20341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/3*(-102)\/(-153)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147025 is divided by 48299.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 516096\/1080 + (-2)\/30*-2. Suppose -2127 = -r*l + 475*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 2 - 4 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 2*g = 12, -2*y + 6*g = g - 30. Let j(u) = 7*u - 4. Let a be j(y). Suppose -34 = -z + a. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2805 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 114\/3836209 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 903324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/3*2\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7462737*z**4 - 4*z**2 - 1156*z - 69.\nAnswer: 179105688*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 27*s**2 + 14*s. Let n(q) = -2*q**2 - 2*q. What is -2*f(m) - 18*n(m)?\nAnswer: -18*m**2 + 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 + 7*u**3 - 5*u**3 + 3*u**2 - u + 3*u.\nAnswer: u*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1. Let g(d) = 5*d**2 + 31338 - 4*d**2 - 31326. Determine g(p).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (5 - 0))*(-3)\/(-5). Let q = 0.25 + -0.05. Suppose 0 = -36*f + 45*f - 45. Which is the fourth biggest value? (a) 2\/9 (b) f (c) r (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2. Let q(x) = x. Let l(o) = 3*o. Let u be -3*2\/(-8)*-4. Let c(g) = u*l(g) + 8*q(g). What is w(c(b))?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5157 = -794*d - 1534*d - 111243 for d.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 j when three letters picked without replacement from jfzjof.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 13 - (6 - -1) - (-6 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, m: 2, q: 2, w: 2, i: 1}. Give prob of picking 1 m, 2 q, and 1 w.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 12, q: 6}. Give prob of picking 1 l and 3 q.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4 = -24. Let j = v + 17. Let r = j - 1. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 13) + 7 + (-10 - (45 - -5))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.121 - -0.021. What is j rounded to zero dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**8*(c\/(c**12*c))\/c*c)\/(c**(-17))**39)**(-1\/38) assuming c is positive.\nAnswer: c**(-661\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 18*k - 125 = 0. Let u(b) = b + 1. Let n(f) = -3*f + 1. Let r(z) = -n(z) + 3*u(z). Let h(t) = t. What is k*h(s) + r(s)?\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/4)\/(17*(-364)\/(-15912))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1447001 and 1.053.\nAnswer: -1523692.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 2 (b) 0.6 (c) -29\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + -37. What is the hundreds digit of -1*(-3)\/(-3)*(-346 - v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/11, 3, 1\/4, 2\/3, -1696, 0, -16?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*v + 4 = -42*v. Let j be -5*((-24)\/(-10) - 2). Let b be 44\/(-495)*3\/2*-1. What is the third smallest value in v, 0.4, j, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2, 8*m - 4 = -3*s + 3*m. Let o = 989 + -985. Are s and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 228*-475267\nAnswer: -108360876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4175996 a multiple of 549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 29*n + 9. Let s(d) = -13*d - 4. Let y(m) = 9*s(m) + 4*v(m). What is y(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -4 (c) 440 (d) 4 (e) 0 (f) 24\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 13*n - 37. Determine t(0).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1665*i*s**2*t**3 - i*s**2 - 137*s**2*t**3 - s**2*t wrt i.\nAnswer: -1665*s**2*t**3 - s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2. Let a(k) = -6*k - 11. Let o(l) = l + 2. Suppose 2*b + 44 = 6*b + 2*z, 0 = z. Let x(n) = b*o(n) + 2*a(n). What is p(x(f))?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(3) - (-2 + sqrt(9)\/sqrt(3))) + ((1*sqrt(15))\/sqrt(5))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 13, 6754, 3, -3\/5, 1?\nAnswer: 6754","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87156517.\nAnswer: 7, 12450931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2. Let j(i) = 16*i + 8 - 8 + 1 + 1 + 0. What is y(j(b))?\nAnswer: -512*b**2 - 128*b - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5648724?\nAnswer: 2, 3, 193, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 8*o**2 + 299*o - 34599. Give x(-87).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(-6)\/(-84) - 424\/(-14). Suppose -286 = -5*x + 89. What is the highest common divisor of x and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -859, -891, -923?\nAnswer: -955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c52 - 16a?\nAnswer: -10bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -13*(-5 + 4) - 0. Suppose 4 = -2*i - h + f, h = -1. Do i and 28\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2. Let k(b) = -15301848*b. What is r(k(y))?\nAnswer: 234146552215104*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 1621012640?\nAnswer: -1621012643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 10:35 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1502 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3064 divided by -766\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1207334106 less than 0.2?\nAnswer: 1207334106.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s = 0. Let j = 2 - s. Solve -14 + j = -3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31864653113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1566371 * -2.94\nAnswer: -4605130.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 89*w + 9136. What is the hundreds digit of k(-89)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 1156034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1053 and 8991?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1532*j - 133 - 1676*j - 90*j + 133 to l + c*j and give c.\nAnswer: -3298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**2 - 14*t + 45. Let b be m(16). Is -946 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {y: 1, e: 1, r: 1, u: 3, p: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 30, 42, 54, 66?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/(-42)*-126*(-100)\/675?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 2:54 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 810 and 2340?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 246 + 0 + 8812 + -8928.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 320, 332, 344, 350, 344?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2059*m - 6711. Determine n(-4).\nAnswer: 1525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14613.724 rounded to the nearest ten?\nAnswer: -14610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 633012 (base 10) to base 9\nAnswer: 1164286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**6\/80 + 3*t**5\/80 - t**3\/8 - 3*t**2\/16 + 14*t. Suppose r(u) = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z - i = -3*i + 323, -i = -2*z + 38 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18170 + 219203 = 9*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 338879766, 338879763, 338879760?\nAnswer: 338879757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -1, 3, 4 in increasing order.\nAnswer: -20, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19906 + 19906 + 162701*a.\nAnswer: 162701*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 66*u + 914. Give i(-23).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f + 2. Suppose 4*l - 4 = -4*r, -7 = -5*r + 2*l + 5. Let y be i(r). Let d = -2 - -2. Which is greater: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1505964*d**6 + d**4 - d**2 + 199182 wrt d.\nAnswer: 180715680*d**3 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59\/30 - -32\/15. Put -1\/7, 1, 191, m in ascending order.\nAnswer: -1\/7, m, 1, 191","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63351301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 - -0.1. Let x = 18 + -19. Which is the nearest to -0.1? (a) x (b) h (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 287693 divided by -41099.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - 1\/2*6. Suppose -5*a + 36 = 3*m, m - 11 = 5*a + o. Calculate the remainder when 34 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6876 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, w: 1, f: 3}. Give prob of picking 1 f and 3 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -289 - -397. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2743 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1982 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 172970 by -2471.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 + 66. Solve 5*o = -5*u + 20, 8*u = 3*o + 3*u - z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 73004.22 millilitres?\nAnswer: 73.00422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2448*p + 2443*p - 4889*p. Let b = -5 + 8. Suppose -b = -3*f - 6. Determine l(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - b - 84581 = 78070, 4*b - 97609 = -3*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/7? (a) -1\/3 (b) -1 (c) 10\/193 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 576 + -143. Let d = -236 + h. What are the prime factors of d?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3802234.\nAnswer: 2, 1901117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/1691 and 13\/171549369?\nAnswer: 3259438011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 15. Let j = n - -16. Let g = j - 1. What is the nearest to 1 in -0.3, g, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -10753*r - 379. Is a(-3) a multiple of 299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**2 + u**3 - 4*u**2 + (3 - 6 + 4)*(-3 - 5*u**3 + 3).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 4*f**2. Let u be v(-4). Let m be 8 + (-4)\/16*u. Suppose 0 = 67*q - 68*q + 3. Solve z - q*z = -m for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlnhnhh. What is prob of picking 1 h and 2 n?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5*g = -36, -2*g + 6 = -5*g + g + 2 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, e: 2, n: 3, w: 9, x: 2}. Give prob of picking 2 x.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 27\/15 + -2 + 16\/5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3038596 - 19374088009\/6376. What is the common denominator of 99\/2 and l?\nAnswer: 6376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 7*w**2 + 4*w + 3. Let a be 6\/(-4) + (-45)\/10. Let h be f(a). Let o be 65\/h + (-2)\/6. Solve 0 = 4*u + 4*q + o, -2 = 5*u - q + 9 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3441.99 centuries in decades?\nAnswer: 34419.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 10:51 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = m - 4, 15*a = m + 11*a - 10 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -254000453 (base 6) to base 10\nAnswer: -4945713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 354213.86 rounded to the nearest 1000?\nAnswer: 354000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d. Let m(c) = 8*c - 10. Determine m(v) - 10*w(v).\nAnswer: -12*v - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 86215 and 559?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.2 (b) 1\/233 (c) 4 (d) -3 (e) 1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 10*h + 3. Let b be q(18). Let l = -142 - b. Calculate the remainder when (2140\/(-30))\/(l - (-3)\/9) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 5*h - 20, -5*h = 5*j + 20 - 0. Put 16, 2, 3, j in increasing order.\nAnswer: j, 2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 132955437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33 + 83?\nAnswer: b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12263, 11347, 9799, 7619?\n\"Answer: -316*j**2 + 32*j + 12547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3454026 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7652 divided by -5\nAnswer: -7652\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 4) to base 5\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 37a930 (base 11) to base 3\nAnswer: 1010111010220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -14. Let x be 12\/36 + (-140)\/q. Let m = x - 19. Is m even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 769.5074 litres?\nAnswer: 769507.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**2 + 4 + 4*j**2 - j - 5. Let o be r(-1). Suppose -o + 3 = v. Solve l + v = -0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 5*o**2 - 2*o + 5*o**2 - o - 2 - 14*o**3 to z + n*o**2 + k*o**3 + f*o and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -955, -958, -961, -964, -967, -970?\nAnswer: -973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-26))**35 assuming n is positive.\nAnswer: n**(-910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 718064 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -15*w - 7*w**2 + w**3 - 10*w + 37*w - 33. Let d be q(6). Let b be (-184)\/(-10) + 2\/(-5). Solve -5*l + b = d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 q when three letters picked without replacement from fqkq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 41a9 (base 15) in base 13?\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2327 + -1427. Differentiate 13*m - 792 + 34*m + 15*m + z wrt m.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/((-14)\/(-12)))\/(-2). Let k(l) = -l - l + v*l + 0*l. Let c(n) = -543 - n + 543. Calculate c(k(s)).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 72350129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and (-2835)\/(-135) - (1 + 0)*1.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yk when two letters picked without replacement from {k: 3, y: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65337 is divided by 605.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1003500 and 76.\nAnswer: 19066500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3080933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/66)\/(-4)*(-21)\/(-7)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*d*f*n*r**3 - 561*d*f*r**3 - 3*d*n*r**3 + 3*d*n*r - 64*d*r - f*n*r - 10*f*r**2 wrt r?\nAnswer: -96*d*f*n - 3366*d*f - 18*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*z + 101 = 0, -3*g - 3*z + 172 = 2*g. Let w = 14 - 28. What is the remainder when g is divided by (2 - (-52)\/w)*-7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -6, -2, 3, -40, 24 in decreasing order.\nAnswer: 24, 17, 3, -2, -6, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/2 - 249*w.\nAnswer: w*(w - 498)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*q + 986 - 739 - 2132 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 2*t**3 - 4 + 0*t**3 - 3*t = 0 for t.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 2952180806.5?\nAnswer: -2952180802.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5)*r)\/r*r**(-2)*r\/(r*r**(-2\/15))*((r**(-3)\/r*r)\/r)\/r*r*r**2\/r*r**(-2)*r*(r**(-1))**(-31) assuming r is positive.\nAnswer: r**(302\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -7*c**4\/16 + 1139*c**3\/8 + 489*c**2\/4 - 212*c. Suppose p(n) = 0. What is n?\nAnswer: -2\/7, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5436 and 124424.\nAnswer: 1119816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -20533557 divided by 306471\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -646730*r**2 - 8 + 0*r**3 + 4*r**3 + 646725*r**2 + 12 - 4 - 3*r**3.\nAnswer: r**3 - 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1021*k + 118918 = 19881 for k.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 24\/(-18))\/((-1)\/21). Suppose n*q = 3*q + 12. Suppose q*a = 39 - 15. Solve 2*t = x + a, t - 5 = 2*t + 4*x for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 7:57 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(6\/(-2)) + 1. Suppose 0 = -2*h - 2*x - 114, -u*x = 5 + 1. Let i = -29 - h. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -633552 divided by 79194\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -157*h**3*i*o + h**3*i + 2*h*i*o + 2*i*o - 1610*o wrt h?\nAnswer: -942*h*i*o + 6*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139 + -136. Suppose q + z*o = 2*q - 17, 0 = -4*q - o + 29. Is 5 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -181212572.87 rounded to the nearest 10000?\nAnswer: -181210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -77, -1.\nAnswer: -77, -1, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -179?\nAnswer: -5\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4926*z**3 + 7*z**2 - 39170*z wrt z?\nAnswer: 29556*z + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(72) - (-1*sqrt(72) - sqrt(72))) + -1 + -2*sqrt(72) - -3*2*(-1 + sqrt(72))*-2)**2 + -5.\nAnswer: -1452*sqrt(2) + 8828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2073 (base 9) in base 3?\nAnswer: -2002110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from {s: 3, n: 2, l: 2, q: 6, p: 4}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 r, and 1 k when three letters picked without replacement from {u: 1, x: 5, r: 1, s: 4, k: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21915 and 180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, m: 4, f: 1, x: 3}. Give prob of picking 1 e and 3 m.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -4*t**2 - 6*t + 2. Let w(u) = -5*u**2 - 7*u + 1. Let s(z) = -4*n(z) + 3*w(z). Calculate the remainder when s(2) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/42497 and 181\/120?\nAnswer: 5099640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4*(-2)\/24)\/((-1)\/33). Let w(t) = 5*t**2 + 2*t + 4. Let h(g) = 14*g**2 + 6*g + 11. Let z be (4\/6)\/((-1)\/(-6)). Determine x*w(b) + z*h(b).\nAnswer: b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n + 6. Let y be a(0). Suppose y*x = 8*x - 12. Calculate the remainder when 26 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 24, 3, -4, 4, 2, 251 in ascending order.\nAnswer: -4, 0, 2, 3, 4, 24, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/6 - -2)*-2. Let q(z) = 3*z**3 + z**2 + 2*z + 1. Let r be q(b). Let m be (1 + 0)\/(-2 - r). Solve v - 1 = m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**2\/2 - 1194*s = 0?\nAnswer: -796, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*h - 2. Let o = h - 6. Which is smaller: o or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35.1 - -35. Let x = 9 + -16. Which is the third biggest value? (a) r (b) x (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 9.9, -8, 6, -12, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24939 divided by -3?\nAnswer: -8313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 17*s**5\/5 + s**4\/3 - 172*s - 13. Let p(w) be the first derivative of l(w). Suppose p(c) = 0. Calculate c.\nAnswer: -1\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f = -33*f - 6*f + 572 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -14*t - 9 - 4*t**2 - 7*t**2 - t**3 + 3*t. Let o be y(-10). What is the units digit of 5*o*(-12)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3445, 3, 0 in descending order.\nAnswer: 3, 0, -2, -3445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*s - 4 = -0*i, -4*i = s - 16. Let m(p) = -p - 4. Let w be m(-7). Let v(x) = -5*x - 1. Let y(h) = 6*h + 2. Determine i*v(o) + w*y(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/80*8)\/(6\/5).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*a + 150 - 176 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5015278526?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 5:24 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -577*a - 4601. Calculate w(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 + 14*m**2 - 8*m + 8. Let t be q(6). Suppose 0 = 35*s - t*s - 9. Suppose s*d + 6*d = 945. List the prime factors of d.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*16\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 2*j**3\/3 + 11*j**2 + 13. What is the second derivative of t(d) wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592824?\nAnswer: 2, 3, 17, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - (-9 - (-6 - -7)) - -5 - -9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -10*x + 1. Let d(w) = w - 1. Let b be d(1). Suppose -5*u - 5*z - 30 = 0, -2*u + 2*z = -b*z + 4. What is the units digit of k(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -9. Suppose -4*r - 24 = -j + 5*j, -o*r + 3 = -j. Let l(u) = 2*u**2 - u. Let w(f) = 1. Determine r*l(x) + 2*w(x).\nAnswer: -2*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70974 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -1027 in decreasing order.\nAnswer: 3, -1, -1027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 9 = 4*a - 21, -6 = -2*a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of 1\/2*l**2 + 0 + 3*l + 1\/3*l**3 - 1\/3*l**4 + 1\/10*l**5. Let f = 5 - 3. Calculate y(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 47*y - 2113. Give t(53).\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3 + 2. Let a be 1\/(3\/(-10509)*m). Let u = -28071\/8 - a. Calculate the common denominator of -19\/8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.101, 2\/7.\nAnswer: -0.101, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 + 44 - 44 + 6*u**3)*(0 - 1 - 1).\nAnswer: -4*u**4 - 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**5\/30 + 5*a**4\/24 + a**3\/6 - 7*a**2. Let g(n) = -n. Determine -6*g(y) - v(y).\nAnswer: -2*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 121?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-4) + -3)*-10. Solve -5*l + k - 22 = 0, 0 = 5*l - 2*k - 3*k + o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 6. Let c(b) = -21 + 49 - 17 - 16. Suppose 47 = 3*y + 257. Let s = -65 - y. Determine s*k(q) - 6*c(q).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2704 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58006\/78381 + 2\/2903. Find the common denominator of -67\/1392 and k.\nAnswer: 12528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10 - 27\/((-1528065)\/573232) - 2\/15. Are j and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -9. Let h be 3\/n + 21\/6. Suppose 0*b = -h*b + 9. Solve 2 + 7 = -b*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 8:02 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 23 + 25 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*x + 6126 = w + 62*x, 0 = -5*w - 5*x + 30630. List the prime factors of w.\nAnswer: 2, 3, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 13 = -3*s, 4*s + 7 = 3. Let m(h) = -h**3 + 8*h**2 + 21*h - 7. Let r be m(n). Is 15\/8 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4))\/((-2)\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1506 smaller than -59.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*c\/(c*c\/(c\/c**11)))\/c*c*c**(-6\/11))**(-49))**(2\/13) assuming c is positive.\nAnswer: c**(10290\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56042 = 5*q + 2*r, -7*q + 2*r = -11*q + 44832. Suppose 29*c - q = -2829. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - o**2)*(-2 + 4 + 0) - o**2 + 4*o**2 - 2*o**2 - 3*o**2 + 4*o**2 - 3*o**2 + 0 - o**2 + 0 + 4*o**2 - 4*o**2 + 2*o**2 + 3*o**2 - 2*o + 2*o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**3 + 268*g**4 - 78*g**4 - 1280*g**2 + 2704*g**2 - 1092*g**2 wrt g.\nAnswer: 4560*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/319, -2, 11, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74 - -82. Suppose o*a = 4*a. Solve -z = -a*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j - 17*j = -29*j + 100 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 37 = -7. Suppose 114 = 3*o + s. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3562, -7073, -10584?\n\"Answer: -3511*n - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1165 = -2*l + 5*v, 5*l = -22*v + 23*v + 2924. What is the greatest common divisor of 455 and l?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7243.251 centuries to years.\nAnswer: 724325.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (23 - (-9 + -13)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1*(0 + -5 - 152) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34 and 4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*m - o - 10, -40 = 5*m + 3*o. Let l(b) = -b**2 - 12*b - 6. Let s be l(m). Suppose -4*n + 71 = -4*t - s, -2*t = -n + 20. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**3 + 34*q**2 + 192*q - 437. Calculate w(-11).\nAnswer: -1097","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 5*b + 7. Let d = 150 + -145. What is q(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 12*v - 40. What is s(3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*p + 41 - 209 = 0, -3*g = -p - 224. Suppose -3*n + 6 = 0, 0 = h + h + 4*n - 14. Suppose -o + g = h*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -603179 (base 11) to base 5\nAnswer: -222024011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-1*sqrt(77) + sqrt(77) + 4*(sqrt(77)*-2 - sqrt(77)))\/(sqrt(700) - 6*(sqrt(700) - (-1*sqrt(700) + sqrt(700)))))**2.\nAnswer: 11\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2 + 3*g**2 + 9*g**2. Let d be j(-1). Let s be ((-3)\/d)\/(3\/(-15)). Is 3 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 75216092944 and 0.4.\nAnswer: 75216092944.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.13 + -0.03. Let z = 62 - 62.5. What is the second smallest value in z, -4, g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*y = -12, 4*c - y + 2*y = -4. Suppose -4*u - 5*x - 4 = -2*x, 8 = -2*x. Sort 5, c, u.\nAnswer: c, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/3)*c**(-11)*c)\/(c\/c**(2\/7)*c**11\/c))**(10\/9))**(-41) assuming c is positive.\nAnswer: c**(181220\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 118 + -3*(-2)\/3. Suppose 0 = 5*l + 5*w - 449 - 126, 0 = 4*l + 2*w - 456. Let s = m - l. Solve 2*t - 1 = s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 j when four letters picked without replacement from {y: 2, j: 7, z: 2}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 6604142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 240.6141 litres?\nAnswer: 240614.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1725, -4072, -6407, -8724, -11017, -13280, -15507, -17692?\n\"Answer: k**3 - 2354*k + 628","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (8 + 76) - (-11 + 5) - (0 - 2)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 10777.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19284 + 19279. What is the biggest value in j, 13\/4, -0.15?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/71 and 69\/2272?\nAnswer: 2272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x = -12*x + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 37 and -14?\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -148556437, -148556435, -148556433, -148556431, -148556429, -148556427?\n\"Answer: 2*y - 148556439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 3763?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*p + 3*p. Let c(d) = -d**3 + d**2 - d + 2. Determine c(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 503.2563s to milliseconds.\nAnswer: 503256.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**7\/840 + k**6\/72 - k**5\/120 + 2*k**3\/3 + 2. Let y(t) be the third derivative of s(t). What is the units digit of y(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dxdoxdddodxxoxo. What is prob of sequence do?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 2 - 2)*(-9 - 86*o + 8*o + 27*o).\nAnswer: -102*o**3 - 18*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -61, -270, -619, -1108?\n\"Answer: -70*r**2 + r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/4)\/(2\/(-104)). Sort 2, l, 5 in increasing order.\nAnswer: 2, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 10 and -1135.6.\nAnswer: -1125.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3670 - 3673 - 2*i + 14561 - 3548 - 3670.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + -2 + -4 - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10615880 by -23078.\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(143)\/sqrt(176) + -2)*1.\nAnswer: -6 + 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 + -38. Let c(z) = -144*z**r + 290*z**2 - 144*z**2. Let v(j) = 14*j. Calculate v(c(o)).\nAnswer: 28*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 216.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1834, 12, -1 in descending order.\nAnswer: 12, -1, -1834","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -4*m**5 + 1759*m**4 - 138488*m**3 - 319660*m**2 - 71232*m = 0.\nAnswer: -2, -1\/4, 0, 106, 336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/8 (b) -2 (c) 1\/5 (d) -9\/4 (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 - 101 + 92*y + 515*y.\nAnswer: 607*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25623?\nAnswer: 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 690240?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(7480\/(-192)) + (-4)\/10.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4*(5 + 0 + sqrt(637))**2 + -4 + sqrt(637)*-1 + -1)*-1.\nAnswer: 287*sqrt(13) + 2649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.274176 litres?\nAnswer: 5274.176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(450)*2)\/((sqrt(27)*-1*-4 - sqrt(27))\/sqrt(3)).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-36)\/8)\/9 + (-20)\/8. Let s be 2 - (o - (1 + 4)). Let h(c) = c**2 - 9*c + 3. Determine h(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*q + 11*q + 176 + 2*q**2 - 35*q - 38 + 16*q in the form b*q + z*q**2 + x and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12\/5*(-85)\/(-34) - 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/67)*x**4 assuming x is positive.\nAnswer: x**(266\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 3683330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 371*i - 28. Let p be a(5). Suppose p = -4*b + 13*b. What are the prime factors of b?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2407966661 to the nearest integer?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 8*d**2 - 2*d - 2. Let g = -3810 + 3809. Calculate k(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/24)\/((-2620)\/80 - -33))\/(1\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*u + 5369, 0*c = 3*c - 5*u + 4035. Let h be 6\/8 - c\/(-16). Let o = h - -78. Put -9, o, -1 in decreasing order.\nAnswer: -1, o, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-2) - (-1)\/1. Suppose -7*j - 134 = -5*x - u*j, -2*x = 2*j - 68. Suppose -2*m = f - 4, -2*f = -m + 2 - x. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 137?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 4*l**5\/5 - 2*l**4 + 4*l**2 - 4*l - 9. Find r, given that k(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((40\/3)\/(-5))\/(-12*(-1)\/72).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.404143 or -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62235 + 62247. Let q = 16 + -7. Calculate the greatest common divisor of q and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1359574304 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 7 - 7)*(l + l + 2*l).\nAnswer: -36*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/11)*b)**47*b**(-7)\/b*b**(3\/8) assuming b is positive.\nAnswer: b**(2713\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 30309, 30298, 30267, 30210, 30121, 29994, 29823, 29602?\n\"Answer: -r**3 - 4*r**2 + 8*r + 30306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**3 + 44*h**2 + 64*h + 391. Calculate g(-21).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -10*l + 25. Suppose -8 = o + 3*v, l*o - v = -2*v + 16. Let z be 1 + -2 + 13\/((-26)\/(-10)). Solve -4*y - y + x + 21 = 0, -o*y = z*x - 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26934865 is divided by 3049?\nAnswer: 3048","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -259*g**2 - 282*g**2 - 28*g**3 - g - 288*g**2 + 1220*g**2 - 74*g**5 - 309*g**2 + 1 + g**4 wrt g.\nAnswer: -4440*g**2 + 24*g - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4)*(11 - 65). Solve 0 = 4*c + 3*b + f, c + 0 - 2 = b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 206 = z. Suppose z = -a + 2*a. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81509537\/2 at least as big as 40754768?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 409115461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4684 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77 + -39 + -23 - 58.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21735287*p**3 - 2*p**2 - 166713*p - 22 wrt p.\nAnswer: 130411722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, x: 2}. Give prob of sequence xex.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8428967*q**2 - 6092953 wrt q.\nAnswer: -16857934*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58656624 divided by 14352?\nAnswer: 4087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -7. Let j = -21459 + 21464. Which is the fourth biggest value? (a) j (b) -21\/4 (c) 2\/17 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/64 - (-22)\/8?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 f when two letters picked without replacement from {t: 2, c: 3, d: 3, f: 1, x: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.019 in -5, 1\/4, -2\/967?\nAnswer: -2\/967","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 205649.2 years?\nAnswer: 2056.492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x - 4. Let s be h(2). Calculate the common denominator of (1 - (-8)\/(-6))*5 and (-1)\/((-36)\/(-68))*s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18494 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-189))\/(1\/(24\/(-4))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 + -120. Let i(c) = 238*c - 2920. Let d be i(12). Which is smaller: d or g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/3968 and -119\/11520?\nAnswer: 357120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5 - 9 = -2*b, 4*b + a - 14 = 0. Solve -18164 - 2*n + 5*n**4 + 18164 + 13*n**2 - 16*n**b = 0.\nAnswer: 0, 1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 + l**3 - l**3 + (46*l - 94*l + 61*l)*(31*l**2 + 33*l**2 + 14*l**2)*(-1 + 4 - 1).\nAnswer: 2029*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (76\/(-190))\/(2\/(-40)). Solve -3 = -u - w for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b. Let n be d(4). Suppose g + 1 = 0, 5*g = -n*h + g + 80. Does 18 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 714904.\nAnswer: 1\/178726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.728 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 73064469 or -1\/5?\nAnswer: 73064469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1612240 + 1?\nAnswer: -1612236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 230 + -232.35. Let s = 7 + -5. Let y = x + s. Round y to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 3*t**5\/20 + 2*t**4 - 19*t**3\/2 + 15*t**2 - 99*t - 11. Let w(y) be the first derivative of f(y). Let w(g) = 0. What is g?\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -782514474*m**2 + 803730*m - 1.\nAnswer: -1565028948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x + 2*y - 16 = 2*x, 5*y - 19 = -2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*q + 27 = -2*o, -5*q = -o + 9. Let y = o + 22. Let f(z) = z**3 - 7*z**2 - 5*z - 15. Calculate the least common multiple of y and f(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/2 - -2) + 6. Let g(a) = a**2 - 7*a + 12. Let w be g(m). Let d = 823 + -803. Solve d = 5*k, 3*y - y + w*k - 2 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 = -v - 13, 4*w - 11 = -v. Put -4, -3, v, 43 in descending order.\nAnswer: 43, v, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3879871?\nAnswer: 41, 173, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**3*t + 1412*l**3 - 104*t with respect to t.\nAnswer: -l**3 - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8779*h + 2728699 = 9572*h + 673387 for h.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4*(sqrt(1331) + -2)*-2)**2 - ((sqrt(1331)*3 - sqrt(1331) - sqrt(1331))**2 + 5 + 2 + (sqrt(1331) + -3)**2).\nAnswer: -2222*sqrt(11) + 82675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -13, 115, -2, 11122, -5 in ascending order.\nAnswer: -13, -5, -2, 3, 115, 11122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -18231944.3 to the nearest 10000.\nAnswer: -18230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-3))\/((-2)\/(-9)). Suppose -d*u = -u + 4. Let v = u + 3. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -o + 20. Let y = 86 - o. Let a(c) = -2*c - 1. Let f be a(-6). What is the highest common divisor of f and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17576, 72233, 163328, 290861, 454832?\nAnswer: 655241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(1 - 2)\/1 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 9 = -6*a, h = -3*a - 15 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*2\/20)\/(36\/(-30)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/8 - (-28)\/16. Let a = 4 - z. What is the derivative of 6*b + 2 - a*b**3 - 6*b wrt b?\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 989 (base 10) to base 12.\nAnswer: 6a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = j + h - 111, 3*h + 461 = 4*j. Let l = j + -60. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*y + 422 = 0, 0 = 5*c + 5*y - 614 - 431. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 9*c - 1. Let i be l(-5). Let y = i - -120. Suppose v + 27 = 4*x + y, 4*v = 2*x + 146. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 2\/13, -7\/2, -1\/57, 0.5 in ascending order.\nAnswer: -7\/2, -1\/2, -1\/57, 2\/13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 6) to base 4\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u**2 - 41*u + 37. Let f be s(6). Let o = 0.8 - 1. What is the closest to -1 in f, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2d (base 16) in base 10?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -10*m**5 + 235*m**4 - 1295*m**3 - 1330*m**2 + 3840*m - 1440 = 0?\nAnswer: -2, 1\/2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8217?\nAnswer: 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4138\/9 - 460. Let r = 0.3 - 0.1. What is the closest to r in j, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuppvpppuupvpvpp. Give prob of picking 1 u and 1 p.\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1731 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1555*p**2 + 382*p**2 + 369*p**2 + 434*p**2 - 1642*p**3 + 370*p**2.\nAnswer: -1642*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(1900) + (sqrt(1900) + -3 + sqrt(1900) - sqrt(1900))*-3)**2 + -4.\nAnswer: -360*sqrt(19) + 7680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - -26124052744626.\nAnswer: 26124052744629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.39661 centuries to years.\nAnswer: 6439.661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q - 68. Let p(h) = 25*h - 238. Let o(k) = 7*g(k) - 2*p(k). Let j(b) = 21*b**2 + 11*b. Give o(j(i)).\nAnswer: -21*i**2 - 11*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 1)*(1 + 4 - 7)*(-8*d**2 + 2*d**2 - 7*d**2) in the form r*d**2 + w + x*d and give r.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 - 1 + 1 + ((2*b - 39 + 39)*(-1 - 2 + 1) - b + 0*b + 3*b)*(-2*b + b - b) in the form i*b + t + w*b**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.49 take away -0.08029643099?\nAnswer: -0.40970356901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -6*o + 1. Let m be l(-4). Let d be ((-22)\/3)\/((-1)\/(-9)). Let w = m - d. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s. Let g(i) = -50877*i - 429628. Let q(h) = -2*h - 19. Let x(m) = g(m) - 22612*q(m). Determine k(x(l)).\nAnswer: 11306*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, p: 10}. Give prob of sequence prrp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 19, 3, 0.9 in increasing order.\nAnswer: 0.3, 0.9, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2\/25, 0.3, -17?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - 4*(sqrt(228) + 2*sqrt(228)))\/(sqrt(12) + ((sqrt(12) - sqrt(12)*2)*2 - sqrt(12)) + sqrt(12) - sqrt(12)).\nAnswer: 11*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -493777*a*o**3 + 6*a*o**2 + 2*a*o - 3*a - 177*o**3 + 3*o**2 + 5*o + 1757 wrt o.\nAnswer: -2962662*a - 1062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-154)\/20*-130*249\/30212\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 65436 a multiple of 399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -24*c - 4. Let m(n) = n**2 - 2. Give a(z) - 3*m(z).\nAnswer: -3*z**2 - 24*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1099050860?\nAnswer: 2, 5, 23, 2389241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55273 (base 12) to base 8.\nAnswer: 334067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4446 and 1454336?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 13*z - 439. What is m(28)?\nAnswer: 709","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 823229.109 to the nearest 10000.\nAnswer: 820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*h**3\/7 + 10616*h**2\/7 - 244*h\/7 - 472\/7 = 0. Calculate h.\nAnswer: -59, -1\/5, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -613 + 945. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40213 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 744 and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3312100 + 3?\nAnswer: -3312031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 1\/60*k**4 - 1\/200*k**6 + 0 + 1\/1680*k**8 + 0*k + 1\/300*k**5 - 1\/1050*k**7 + 0*k**3 + 6*k**2. Let g(q) = 0. What is q?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 3 + -7 + 7 + -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-1)\/(-36))\/((-13)\/(-52)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-24))\/(2\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 + 4144?\nAnswer: 4231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 93, 201, 311, 423, 537, 653?\n\"Answer: n**2 + 105*n - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n - 705. Let f(h) = 31*h. Calculate f(c(y)).\nAnswer: 62*y - 21855","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 + 57 - 54*p + 231 - 54*p.\nAnswer: -108*p + 371","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-9))\/((-2)\/(-3180)). Let a = 657827099\/1814904 + -5\/453726. Let q = c + a. Calculate the common denominator of q and -73\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + g - 523, 5*t + 0*t - 4*g = 508. Is t at least 103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 18*j**2 + 25*j + 8. Calculate the remainder when q(19) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 8:05 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -370*b. Let k be g(0). Let f(d) be the first derivative of 2\/3*d**3 + k*d**2 + 0*d - 11. Let t(i) = 22*i**2. What is t(f(z))?\nAnswer: 88*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppr when three letters picked without replacement from {s: 2, p: 6, u: 1, q: 1, r: 1, d: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10313 times 4503?\nAnswer: 46439439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 27358273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 9:37 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (4 - 0 - (26 + -26) - -2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -214 (b) -1 (c) 16.1 (d) -2\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*t = -2*k + 86*t - 10, -5*t = 5*k + 15 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 17\/19 + 5\/(-5). Let z = -135 - -135.07. Sort z, 1, n in decreasing order.\nAnswer: 1, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 22. Sort -3, -0.12, a in decreasing order.\nAnswer: a, -0.12, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 18, -54, -118, -174, -222?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 12, c: 5, v: 2}. What is prob of picking 1 p, 1 v, and 1 c?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 - (82 - (43 - 1)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17516, -1, 3, 0, -2 in ascending order.\nAnswer: -17516, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byybybbb. What is prob of sequence ybyy?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -836527*t**3 + 623391*t**2?\nAnswer: -5019162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, -0.1, -3, -0.5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12300302 (base 4) to base 6.\nAnswer: -332122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 14\/57, -2, -0.1, -3 in ascending order.\nAnswer: -3, -2, -0.1, 1\/8, 14\/57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4441.8 rounded to the nearest 10?\nAnswer: -4440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 36, 76, 116, 156, 196, 236?\n\"Answer: 40*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 1. Let x(h) = 17*h + 5. Let d(i) = -3*u(i) - x(i). Calculate the remainder when 67 is divided by d(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/(4*3\/(-12)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07537 * 1\nAnswer: 0.07537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53599.\nAnswer: 7, 13, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y + 2*y - 1 + 0*y + 2*y**2)*(-38*y - 18*y + 11*y) as t*y**3 + s*y**2 + j*y + u and give s.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 8*u**2 - 15*u + 21. Let o be c(6). What is the remainder when 55 is divided by (-96)\/(-20)*10\/o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -603\/5 + 121. Which is the closest to p? (a) 4\/5 (b) -0.5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - s - 6*d - 10 = -8*d, 0 = -5*s + 19*d - 67 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0525? (a) -2 (b) 0.3 (c) 36 (d) 1.9 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 5. Let t(k) = -6*k + 111. Let b be t(18). Let v be (-24)\/72*b*-6. Solve 0 = -2*r - 4*i - v, -g*i = -2*r - 2 + 17 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1260 = 14*y - 18*y. Is y a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208488 divided by 69496?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*c - w + 3*w, 2*w = 5*c - 28. What is the lowest common multiple of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*v**4 + 456*v**2 - 456*v**2 + (-3*v**2 - 2*v**2 + 4*v**2)*(2*v**2 - 4*v**2 + v**2) - 2*v**4 + 3*v**2 - 3*v**2 - 2*v**4 + 0*v**4 - 7*v**4.\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 1073 - 225. Is s a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 42 = u + 4*k, 5*k = -4*u + 39. What is the lowest common multiple of u and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 5*x - 25, -2*a - 14 = 2*x - 0. Let d be -9 - -7 - (2 + a). Find the third derivative of -10*q**4 + 16*q**d + 0 + 0 - 18*q**2 wrt q.\nAnswer: -240*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 432 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -m**4\/14 + 2*m**3\/21 + 20. Factor x(n).\nAnswer: -2*n**2*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + g - 16. Let k = 26 + g. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88501 and 84.\nAnswer: 1062012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -109 + 114. What is the biggest value in 0, 0.4, t, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000117836861 rounded to 6 decimal places?\nAnswer: 0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -517, -592, -667, -742, -817?\n\"Answer: -75*l - 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 - -33 - (-37 - -59).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 20*j + 91. Let a be o(0). What is the highest common divisor of a and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23845, 23610, 23375, 23140?\n\"Answer: -235*o + 24080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 1\/7, -0.4, 0.3, -4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 28 = -0*z. Let g = z + -1. Let q be (g*2\/(-3))\/(-1). Let x(u) = -u**2 + 7*u - 5. Give x(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 852*z**3 - 850*z**2 - 1706*z - 4 = 0 for z.\nAnswer: -1, -1\/426, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1822 + -1028. Find the third derivative of 107*h**5 + 168*h**5 - 790 + 51*h**2 + u wrt h.\nAnswer: 16500*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3756.\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1058*t - 1058*t + 37*t**3 + 81*t**3.\nAnswer: 118*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b - 8. Give y(8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7604331 grams to milligrams.\nAnswer: 760.4331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 10 - -7 - (18 + -13 + 8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29771 or 13\/2?\nAnswer: 29771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11878524451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -14. Calculate the greatest common divisor of w and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + 11 + -6 + 2 + -17 + 2 + 5?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/5640 and -51\/6730165?\nAnswer: 161523960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6522 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/7 - 205059*p**2\/7 - 500863815*p - 9505840239.\nAnswer: -3*(p + 19)*(p + 34167)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 a factor of 1127065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4 + 4 + 2 + y - 6. Let t be w(0). Suppose -c = -3*j + 4, 3*c + t*j - 8*j = -2. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65139.\nAnswer: 3, 21713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/5600 and -69\/448?\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3373476104?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 494\/7 + -2498\/35. Which is the closest to 5\/7? (a) 2 (b) 1\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2. Let b(w) be the first derivative of -w**2 + 945*w + 740. Calculate p(b(r)).\nAnswer: 4*r**2 - 3780*r + 893025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/468 and 7\/1230918.\nAnswer: 7385508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 6.7. Let h = 201 + -200.9. Let t = 0.2 + -0.2. Which is the closest to t? (a) 0 (b) h (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u + 49. What is y(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/8 and -37\/347394.\nAnswer: 1389576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -24*t - 45. Let x be g(-2). Let c(u) be the first derivative of 0*u**3 + 0*u**2 - x + 3\/2*u**4 + 14*u. Differentiate c(p) with respect to p.\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(3\/10)*x**31 assuming x is positive.\nAnswer: x**(313\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -s**4\/4 - 3*s**3 + 5*s**2 + 5*s - 30. Give r(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 37. Let c = y - 44. Let d = 40 + c. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.02 + -8.02. Let g be -6 + 4 + 7\/3. Let h = -0.1 - -0.2. Which is the closest to h? (a) j (b) 0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 5) in base 7?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*1\/(-3)*-1. Suppose -5 - 53 - 92 = 75*y. Put y, 0, w, -8 in ascending order.\nAnswer: -8, y, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/(-11))\/(15\/(-35)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**10\/d)\/d*d**7)**(-7\/5))**(-2\/43) assuming d is positive.\nAnswer: d**(42\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by 50.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2 - 2) + (59 - 63) + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a**3 - 4*a**2 + 2. Let q(w) = 5*w**2 - 4*w + 3*w + 4*w - 6*w**3 - 3 - 2*w. Suppose 225*z - 1857 + 732 = 0. Determine z*g(r) + 4*q(r).\nAnswer: r**3 + 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(40\/5)*(-118 + 0). Let j = q + -55. Let k(c) = c**2 - 6*c + 7. What is the remainder when k(6) is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90*d*l**2*x + d*l*x**2 + 29*d*x + 7*l**2*x**2 - 2*l**2*x - 2*l*x**2 - 2*l - 7*x**2 wrt l?\nAnswer: -180*d*x + 14*x**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 1 - (-170 - -168)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3095695\/9 or 343965?\nAnswer: 3095695\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((f**(2\/3)*f)\/f)\/f)\/f)\/((f**1\/f)\/f))\/(f*f\/f**(-1))**32 assuming f is positive.\nAnswer: f**(-289\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*3*(sqrt(104) + sqrt(104)*-2))\/(-2*(sqrt(72) + sqrt(8)) + sqrt(24)\/sqrt(12)))**2.\nAnswer: 832\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -232.4 * 862\nAnswer: -200328.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.32 times -1923?\nAnswer: -615.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267208*t + 267221*t + 20133 - 20133.\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4044 + 2?\nAnswer: 4101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 31*g**3 + 2*g**2 - 2*g + 1. Let s be 1 - (-2 + 1) - 1. Let n be v(s). Let d be (5 - (1*-9)\/(-3)) + 46. What is the greatest common factor of n and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000091337663 to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-79 - -82) + (-19)\/7. Put 0.2, 94, i, -0.2 in increasing order.\nAnswer: -0.2, 0.2, i, 94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 135\/(-30)*(-22)\/(-99) - (2 - 9402). Calculate the greatest common divisor of 964 and k.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/5)*g**22 assuming g is positive.\nAnswer: g**(109\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*m**3*v - 8*m**3 - 185*m**2*v - 16*v + 105 wrt m.\nAnswer: -51*m**2*v - 24*m**2 - 370*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgrhnfgpn. Give prob of sequence pnfh.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2*(1 + -2) + (-55)\/11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 - n**2 + n**2. Suppose 4 = l - 28*h + 25*h, h = l - 6. Let z(q) = -20*q + l*q + 17*q. What is z(d(w))?\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -894443 + 11894443. What is g rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 8:38 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/57, -2\/13, 1 in descending order.\nAnswer: 1, 0.2, 2\/57, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 4*k + k)*(1 - 4 + 5 + (18 - 9 + 9)*(-3 + 3 + 1))*(0*k + 2*k + 0*k).\nAnswer: -40*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33455 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q - 3*q**2 - 15*q + q**2 - 378 + 2*q**3 + 3*q**2 + 380. Determine d(-4).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 9) in base 11?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 9*s + 3. What is k(-7)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.087 (b) -1\/237 (c) -3\/7 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8941 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 28 = -5*z, 0 = -2*z + 5*z + 12. Let s be 1*(5 - (0 - o)). Solve 2*x = 3*v + 23, s*v + 5*x - 10 = v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence edak when four letters picked without replacement from ejndkaa.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33853 - -1015483\/30. What is the common denominator of -119\/474 and b?\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, q: 3, n: 3}. What is prob of sequence nz?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8828724 and -4.\nAnswer: -35314896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from wssjvwwwsvswjjw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 100 times 0.04\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6659201?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 471 - 446.9. Let y = p + -24. What is the nearest to 1\/3 in y, -1\/8, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 12*b**2. Let f(x) = 96*x**2. Calculate h(f(z)).\nAnswer: 110592*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 29*n**3\/5 - 9522*n**2\/5 - 44811*n\/5 - 47952\/5 = 0.\nAnswer: -3, -48\/29, 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/4)\/(j\/(j\/j**(1\/4)*j)*j))\/(j**(-1\/4))**(-5\/6)*(j\/(j*j**(-3)))\/j*j**(-2\/7)*(j*j**(-5))\/(j**(-4\/7)\/j) assuming j is positive.\nAnswer: j**(-71\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396*f**2 - 722*f**2 - 3*f + 349*f**2 - f + 4*f.\nAnswer: 23*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -252 - -1258\/5. Let n be 15\/(-6) + 1 + 1. Suppose -4*m + 2*m = 10. What is the second smallest value in q, n, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, o: 2, v: 2, w: 2, p: 1}. Give prob of picking 1 v, 1 w, 1 j, and 1 o.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6*j = -8. Let x be (-2)\/((-5)\/((-75)\/j)). Let s = x + 19. Calculate the highest common factor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 100 + (-36)\/4 + 13. Suppose 6*b = 338 - p. Calculate the remainder when 504 is divided by b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eegggezegggeggggge. Give prob of sequence ggz.\nAnswer: 55\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r - 1. Let c(x) = 4*x - 2. Give -8*b(w) + 3*c(w).\nAnswer: 4*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-4 - -2)*(-13 + (-185)\/(-15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 18*k**2 + 2*k + 2. Let y = 1 + -2. Does 9 divide t(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (6 - -7)) + -10 + 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96444226 is divided by 1506941?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1436 - -1438. Which is the third biggest value? (a) 0.16 (b) 10\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 4:07 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**2 + 18*q - 9. What is the least common multiple of h(5) and 352?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-113715)\/12996*32\/(-14)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*t - 36. Suppose 2*w - 90 - t = 0. Suppose 3*p - w = -9. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*z - 22, -48 = 4*z - 52. Let p(k) = -4 - 3 - 3*k - 4*k. Calculate p(m).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*q. Suppose q = -5*t + t + 8. Solve t*l - y + 2 = -0*y, -3*l + 11 = -5*y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 1808*a**2 - 5410*a + 3604.\nAnswer: -2*(a - 901)*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 280*a**2 + 12890*a + 807. Give u(-58).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (75\/9 - 8) + 8\/120 + 0. Which is the third biggest value? (a) 10 (b) q (c) -1 (d) 0.38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/252)\/(-3)*(-10)\/(-1)?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**4\/4 - f**3 - 308*f**2. Determine g(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 1214651 = -394829. Let i = 762626 + -500256. Let x = i + b. Round x to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24*a**3*s**3 - 621*a**3 + a**2 + 1788*s**3 wrt a.\nAnswer: 144*s**3 - 3726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57570427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(7) - (sqrt(14)\/(sqrt(2)*-1) + sqrt(7))) + (sqrt(468)\/sqrt(4) + -2 + sqrt(13) + 2)**2.\nAnswer: sqrt(13) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c**2 + 6*c - 34. What is the hundreds digit of z(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 7:29 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - sqrt(156)*3) + sqrt(156) + (3*sqrt(468) - sqrt(468))\/sqrt(12))\/((-2*sqrt(240))\/((1*sqrt(55))\/sqrt(11))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/81)\/(1\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 227.95047ms in days?\nAnswer: 0.000002638315625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5421732, -5421730, -5421728, -5421726?\nAnswer: -5421724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 15*w**2 + 2*w + 45. What is the tens digit of z(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, l: 1, p: 1, d: 1, b: 1}. Give prob of sequence tl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 140230 to the power of 1\/2, to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 17*d - 20*d - 14051, 5*l + 2*d = 70187. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(300)*2 + -1)**2.\nAnswer: -160*sqrt(3) + 4804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**4\/24 + 31*c**3\/6 - 16*c**2. What is the remainder when 37 is divided by l(11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53 - 2*l + 54*l**2 - 31*l**2 - 24*l**2 to y*l**2 + d + a*l and give d.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/4 + 4519015*f**2\/2.\nAnswer: -f**2*(f - 9038030)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*m + 35250 - 36814 = 0 for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**3 + p**2 + 3*p + 2. Let c = 3 - 5. Calculate the remainder when 41 is divided by m(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 11) to base 14\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.007 and 149837209435?\nAnswer: 149837209435.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*b = b, -d - 5*b + 24 = 0. Let k = -279\/35 - -60\/7. Sort 2\/17, d, k in increasing order.\nAnswer: 2\/17, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2152 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1748638, -3497277, -5245916?\n\"Answer: -1748639*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/3483501 and -95\/64212.\nAnswer: 13934004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 1702*i + 82518. What is h(50)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/6*258\/344.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -8fdaa?\nAnswer: 8fda8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*v + 7. Suppose -2*g = -b - 8, 0 = -25*b + 2*b - 3*g + 61. Solve b*q = -v*q + 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2318144 is divided by 93?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.02239 micrometers in centimeters?\nAnswer: 0.009402239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -286190 + 1?\nAnswer: -286189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18463 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 6:47 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 5*y**2 + 3*y - 2. Let w be h(6). Let f be (-108)\/w - (-4)\/(-10). Suppose 3*d = 4*s - 9*s + 80, -5*s + f*d + 40 = 0. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((240\/6)\/8)\/1. Suppose 3*t - 6 = -5*h, 2*t - q*t + 6 = -2*h. Solve 3*b + 3*b + 12 = h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -39 + -23735?\nAnswer: -2376e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lltllltlllltllttltl. Give prob of sequence lll.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 15) to base 3.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51.5 + 16770467.\nAnswer: 16770518.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w - 4*w - 22 + 2*w - 2*w. Give x(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146163*n + 146365*n + 20890 = 1902 for n.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1850099438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*j**4\/7 + 49005*j**3\/7 + 39216*j**2\/7 + 7844*j\/7.\nAnswer: -j*(j - 1961)*(5*j + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 8*g**2 - 8*g + 4. Suppose 2*r + 2*f + 8 = -2*f, -3*f = -r + 1. Let l be -6 + -3 - 1*r. List the prime factors of x(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 974145 is divided by 64941.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/256051267 or -2\/5?\nAnswer: 2\/256051267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/7 (b) -3 (c) 7 (d) -1281 (e) 3\/5 (f) 0.1 (g) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -312308, -624596, -936870, -1249130?\nAnswer: -1561376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 33.26781 micrograms?\nAnswer: 0.00000003326781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 353183900 rounded to the nearest one million?\nAnswer: 353000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 a when three letters picked without replacement from {a: 2, u: 4, q: 1, n: 1, f: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45 or 905154?\nAnswer: 905154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -478*l + 2. Give b(1).\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 + 39452*r**2 + 236768*r + 315712.\nAnswer: -2*(r - 19732)*(r + 2)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 8. Let r(n) = 86*n - 24. Determine 2*a(h) + r(h).\nAnswer: 86*h - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 13*h - 22. Let y be v(-6). Suppose -2*a = 2*w - y, -w = 9*a - 4*a - 50. Solve -16*t + 14*t = a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 21322?\nAnswer: 21332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6657 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*w + 1, -3*s - 4*w = -5*s + 14. Let k(o) = -7*o - 16. Let q be k(-4). Calculate the highest common divisor of s and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 73 + -73.3. Suppose 4*t - 4 = -12. Which is the second biggest value? (a) t (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -799, -768, -735, -700, -663, -624?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17154*i + 14340*i + 1480218 for i.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grdddgdxxrxdddrxd. What is prob of sequence dxd?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y. Let l be b(5). Suppose 3*h - 2*q - 22 = 0, 3*h - l*q - 19 = -0*h. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppwwppaawp. What is prob of sequence wp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 7. Let a be (16\/24)\/(p\/6). Put -1\/7, a, 2\/7 in descending order.\nAnswer: a, 2\/7, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-5*sqrt(110)\/sqrt(5)*5)\/(-1*(sqrt(1584) + (sqrt(1584) - (sqrt(1584) - 3*sqrt(1584) - sqrt(1584)) - sqrt(1584)))).\nAnswer: -2 + 25*sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -85, 2, -0.1, 5, -1 in descending order.\nAnswer: 5, 2, 0.6, -0.1, -1, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 447294 to the nearest integer?\nAnswer: 669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 2. Calculate the remainder when 134 is divided by q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((14535\/10)\/19)\/(-6)*28\/21.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -997 = 5*w - 1022. Sort w, -20, 3 in decreasing order.\nAnswer: w, 3, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 2*x + x)*(5*x + 4*x - 5*x).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 135665 (base 8) to base 14\nAnswer: 13725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 5*x**2 + 3*x - 1. Let y be k(4). Let w = 12 - 25. Let z = 17 + w. What is the closest to 2 in z, 2\/3, y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}