diff --git "a/data/dm_maths/full_data/10070_11255.jsonl" "b/data/dm_maths/full_data/10070_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10070_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is l in 2*l**5\/7 - 158*l**4\/7 + 3838*l**3\/7 - 27418*l**2\/7 + 31008*l\/7 + 62424\/7 = 0?\nAnswer: -1, 3, 9, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 69379, 9 in decreasing order.\nAnswer: 69379, 9, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 294065*h**6 + 64*h**3 + 17130*h**2 - 547*h wrt h.\nAnswer: 35287800*h**3 + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 4501.73\nAnswer: -13505.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, 1\/6, -1, 9.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1265 - -0.5.\nAnswer: -1264.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*o + 28*o**3 - 47*o - 87*o**3 - 42*o.\nAnswer: -59*o**3 + 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156 + -178 - -104) + 95?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*a - 36 = 0, 5*a = -0*a + 5. Suppose -2*v + 6 = 2*c - l, -5*c - 67 = -4*v. Is 18 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*b**4 + 62*b - 2 - 8*b**4 - 5*b**2 - 4*b**4 + 0 - 77*b as i*b + a + f*b**3 + g*b**2 + u*b**4 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0 + (4 - 2 + 0)*(-70 + 81 - 65))*(-8 - 1 + 1)*((-2*t - 2 + 2)*(-5*t**2 + 0*t**2 + 4*t**2) + 2*t**3 - 1 + 1).\nAnswer: 3392*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by (72\/(-16) - 39\/(-52))*-4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26, 113, 258, 461?\n\"Answer: 29*r**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20929 is divided by 625.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -1010110110010110111110?\nAnswer: 1010110110010111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 2 + 6 + 6 - 4*f to the form b*f + p and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(2\/9))\/((-13)\/78). Let s(m) = m**2 - m + 4. Let t be s(0). Suppose -3*q = q - t. Sort b, -4, -1, q in decreasing order.\nAnswer: q, -1, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/40*3000\/2250?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 358176, 358177, 358178?\n\"Answer: t + 358175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (11 - 6) - (-4 - -8)) + 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r - 1022 = -28*r. Calculate the remainder when r is divided by 51.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + j = -15. Suppose 2*s = 5*l + 3*s - 45, j*s + 36 = 4*l. Let h be 4*(l\/(-6) + 1). Sort -1, h, -4 in descending order.\nAnswer: -1, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 139 = 5*x - 3288, 4*x = 5*c + 2750. Suppose -9*h + 9901 - x = 0. Suppose -2885 = -z - h. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21314999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-18)\/(-14) + (-4)\/14)*11. Are 12 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 722.43 days to minutes.\nAnswer: 1040299.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b + 2. Let p(w) be the first derivative of -10*w**2 - 6*w - 7. Determine 4*p(i) + 11*v(i).\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 3)*(n**3 - 3*n**3 + n**3) + 9*n**3 + 13*n**3 - 13*n**3 + 91*n**2 - 8*n**3 - 1 - 91*n**2 in the form z*n**2 + d*n + b + p*n**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18736*a*b*o + 2*a*b + 11*a*o - 8*a - b*o - 15*b - 2*o + 288 wrt o.\nAnswer: -18736*a*b + 11*a - b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 293516.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -210\/2717 - 4\/143. Let u(t) = -t + 2. Let l be u(2). Suppose 0 = -24*b + 13*b - 11. What is the nearest to l in -5, b, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -725 times -1.267\nAnswer: 918.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.36 + -0.26. Which is the third biggest value? (a) -3\/4 (b) z (c) -0.4 (d) 4\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3913, 0.4.\nAnswer: -1, 0.4, 3913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-2 + 5 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jsaaaajasaaaaagjh. What is prob of sequence aha?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - (-105)\/20) + 14\/(-88). Which is the closest to 2\/7? (a) -2\/13 (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203287?\nAnswer: 7, 113, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19 and -0.0447569.\nAnswer: -0.8503811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -4 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 15. Suppose 26*h - 25*h = 32. What is the highest common factor of h and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 8244*t**2 + 3*t + 8240*t**2 - 3*t - 16485*t**2 - 51.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3*w = -4 + 13, 0 = -121*w + 124*w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*z - z - 10 + 12.\nAnswer: 44*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) -8 (b) 0.77 (c) 1 (d) -5 (e) -1\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7116439 millimeters to nanometers.\nAnswer: 711643.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2184\/(-588)*(-266)\/13\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5\/t)\/(t\/(t*t*t*t\/(t\/(t\/(t**8\/t*t))))*t*t)*(t*t**(1\/2))**38 assuming t is positive.\nAnswer: t**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 15*j**2 - 6*j - 95. Let r be k(-15). Suppose 2*w = -8 + 2, 0 = 2*s + 3*w + 17. Sort r, s, 4 in ascending order.\nAnswer: r, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19016, -21366, -23716?\nAnswer: -26066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3. Suppose -83*h = -84*h - 4*v + 16, -h + 3*v = 19. Which is the nearest to -1? (a) h (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 305*t + 1518. What is r(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -559 by 13.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 307 + -304. Let r(p) = -10 - p**d - 211*p**2 - p + 417*p**2 - 214*p**2. Calculate r(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*-1*2 - -2*sqrt(384)*2)\/((sqrt(256)*-1)\/(6*sqrt(4)\/sqrt(2))).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -545119932 greater than or equal to -545119931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = q + 2*n, 46 - 1 = -5*q + 5*n. Calculate the remainder when 804*q\/(-27) - (1 + 0) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(76)*-1)\/(sqrt(16)*-4 + sqrt(4)))**2.\nAnswer: 171\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 + -344\/5. Suppose o + 52 = 4*p - o, -18 = -p - 2*o. Let d = p + -9. Sort j, 0, d.\nAnswer: 0, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 678735871 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -5*w + 6*w. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22012766021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, p: 2}. What is prob of picking 3 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 8:29 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 738708.8985 and 0.012.\nAnswer: 738708.9105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1496 = 7*k - 5*k + 6*t, 3*t = -2*k + 1496. Let x = k - 278. List the prime factors of x.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + g**3 + 2*g**3)*(-13 + 15 + 13)*(4 + 0 - 6)*(g**2 + g - g) + 0*g**5 - 4*g**5 + 2*g**5.\nAnswer: -32*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -939 = -5*u - 104. Is u a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6058, -6001, -5928, -5857, -5806, -5793, -5836?\n\"Answer: -3*i**3 + 26*i**2 - 6081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -89 + 27 - (-14 - (-9 - 17))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) -0.36 (c) -6 (d) -1 (e) 1\/4 (f) -0.6 (g) 7\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**6\/72 - 2*d**3\/3 + 13*d. Let a(p) be the second derivative of y(p). Let w(g) = -2*g**2. Calculate w(a(k)).\nAnswer: -50*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 85086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-4)\/(u\/(u\/(u\/(u*u\/u**(-1\/2)*u)*u*u)))*u**32*(u**(-2\/3)*u*u**(-4))\/(u**(-4)*u\/u**(-5)) assuming u is positive.\nAnswer: u**(137\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - -1)*(-55)\/44. Suppose 14 + 126 = r*u. Suppose -5*x + 18 + 2 = 0, -2*x + u = -4*o. Which is the biggest value? (a) 4 (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2053 + 0?\nAnswer: -2053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2641, 1615, 589, -437, -1463?\nAnswer: -2489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/6, -3, -3.2, -1\/15, 364 in ascending order.\nAnswer: -3.2, -3, -1\/6, -1\/15, 0, 364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 48 times -0.03\nAnswer: -1.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (558 + 49*s - 558)*(0*s + 2*s + 2 + 0*s).\nAnswer: 98*s**2 + 98*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*(w\/(w\/((w\/w**(-1))\/w)))\/w))\/(w*w\/(w*(w\/(w*w**(-13)))\/w)))**(-3\/10)\/((w**(2\/31)\/w*w)\/w**4*(w\/(w\/(w**(2\/3)*w)))**(-4\/5)) assuming w is positive.\nAnswer: w**(1831\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*i - 43*i + 38*i + 97*i - 44*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 654\/11*f**2 + 954\/11*f + 126\/11*f**3 + 6\/11*f**4 + 420\/11 = 0. What is f?\nAnswer: -14, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2419 - -3115. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 4*c**2 + 9*c - 15. Let v = -501 + 506. Let i be a(v). Calculate the highest common factor of 5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (42021 - 18) + 3\/((-3)\/2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - 1 - 3*q**4 - 29*q**3 + 53*q**3 - q**2 - 20*q**3 to the form c*q**4 + r + i*q**3 + z*q + d*q**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-27)\/(-45))\/(-6*1\/(-17)) and (-117)\/(-12)*((-57)\/(-30) - 2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 36*f - 1026 = 0. What is the greatest common divisor of f and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*o = 64*o + 1128 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*f - 13*f + 18*f)*(f - 3*f + 0*f)*(-f + 1 - 1) - 5*f**2 - 2 + 5*f**2 - 2*f + f**3.\nAnswer: -7*f**3 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0414 - 0.0786. Is x < 6\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 3. Let t be s(5). Let j be ((-1 + t)*-1)\/1. Sort j, 1, 3 in descending order.\nAnswer: 3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.0543 times 0.0331\nAnswer: -0.03489733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 11 = -2*h - 3, 5*a + h = 41. Let p = -3 + a. Solve -p*s = -l - 14, 0 = -2*l - 2*s - 0*s - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 - 10*j + 3. Let g = 38 - 36. Suppose g*r + 32 = 22. Let n be q(r). Sort -4, n, -3.\nAnswer: -4, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-77)\/22)\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -466 (base 7) to base 12.\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 - 4. Let q(k) = -2 + 1 + 2 - 2. Let i(n) = l(n) - 4*q(n). Let s(m) = -6*m**2. What is s(i(h))?\nAnswer: -24*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 3*s + 9, -3*s + 21*s + 123 = 5*l for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32038.08t to grams.\nAnswer: 32038080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 3. Let f be (w\/(-9)*-3)\/1. What is the units digit of (-72)\/(-30) - f\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44208000 divided by 1200\nAnswer: 36840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 6*l**2 - l - 6. Let t be g(-6). Let p be (-1)\/(-3)*14\/20. Let c = -1\/30 + p. What is the biggest value in t, c, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23643 and 227772?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 + -36262?\nAnswer: -36247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 5. Suppose -45 = -f - k*m, 346 - 97 = 5*f + m. Calculate the greatest common factor of 10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of -13*k**6\/60 - 13*k**5\/20 + 23*k**2. Find the third derivative of z(l) wrt l.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60.31 times -0.031307\nAnswer: -1.88812517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 11, b: 3}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by 20\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-275)\/(-10) - 12).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 496240 and 4590220?\nAnswer: 18360880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 375*w + 376*w + 392, -3*j = 2*w - 217. What is the smallest common multiple of 861 and j?\nAnswer: 9471","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(-5) + (0 - -1). Suppose -2*u = t*z + 6, -2*u - 10 = 2*u + 5*z. Let h = u + 27. Solve 7*i - h = 2*i + 2*v, 2*i = -3*v + 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1001*i + 19 = -1006*i + x, 5*i + 3*x = -3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001552709 rounded to six dps?\nAnswer: -0.000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 2. Let y be l(8). Suppose -2*j = -y - 32. Suppose 2*t + 3 - j = -3*k, -3*t - 20 = -k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 3. Suppose 260 = 4*n + n - 5*t, 42 = n + h*t. Let u be 18 - (-5 + 2 - -1). Calculate the highest common factor of u and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84824985*k + 84824709*k - 4*k**2 - k**3 + 4*k**2.\nAnswer: -k**3 - 276*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(5546\/885 + (-1 - 5)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -32. Suppose -i*f - 54 = -0*f. Let y = 58 - f. What are the prime factors of y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104 + (-299 - -188) + -1 + 1 + 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -68*l + 25*l - 215 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 84\/18 - 1*8\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4\/11 (b) -3\/10 (c) 1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 366254 * 1.\nAnswer: 366254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2529*u**2 - 2350*u**2 + 5073*u**2. Let w(r) = -15*r**2. Calculate w(j(h)).\nAnswer: -564540*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 15, -10, 0 in decreasing order.\nAnswer: 15, 2, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -79 - 1\/(3\/(-6)). Let r be (f\/1)\/((-1)\/2). Suppose 2*l - 36 = r. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1811*a**3 + 2*a + 897*a**3 - 817*a**2 + 913*a**3 as s + b*a + w*a**2 + d*a**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 118218 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 + 12*g + 22. Let k be p(-7). Let t = k - 6. What is the remainder when 748 is divided by t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(1\/8))\/z*z\/(z*z*z**(-8)\/z)*(z**(2\/21))**6)**(-21\/4) assuming z is positive.\nAnswer: z**(-1461\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 8*y - 3*y. Suppose 2*a - y*n = 3, n - 5 = -4*n. Solve 5 = 5*w - a*g, 2*w = 3*g - 0*g + 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**5 + 30*l**3 + 234*l**2 wrt l.\nAnswer: 60*l**2 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -412\/9 + 46. Suppose 4*g = 4 + 4. Suppose -g*c = -4*c + 6. Which is smaller: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.067377mg?\nAnswer: 0.000067377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 739 - 375 - 377 - 7*s. Let m(n) = 2*n. Determine m(x(r)).\nAnswer: -14*r - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 139055497 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1567429 - 0.07.\nAnswer: -1567429.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2931 = -203*l - 391*l - 4092 - 14361 for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 224?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 + 21918*y**3 + 85016454*y**2 + 132425751130*y + 61655224544496.\nAnswer: 2*(y + 792)*(y + 3389)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**9\/378 + u**5\/60 + u**3 - 5*u. Let z(f) be the second derivative of c(f). Find the second derivative of z(i) wrt i.\nAnswer: -160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.255 - -0.215. Let l = z + 2.53. Let q = -3 - -2.99. Which is the third smallest value? (a) l (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3115 divided by -30\nAnswer: -623\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 4*q - 72*q - 63*q.\nAnswer: -139*q - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(6) - sqrt(24)) - (sqrt(102)*1)\/sqrt(6)) + (((sqrt(170) - 1*sqrt(170))*5 - sqrt(170)) + sqrt(170) - sqrt(170))\/sqrt(10).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)\/(sqrt(20)\/sqrt(2)) + 5 + 2 + (sqrt(102)\/sqrt(726) - sqrt(17)))**2.\nAnswer: 14*sqrt(17)\/11 + 5946\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k - k - 583 + 585. Let l(u) be the second derivative of -17*u**3\/6 + 9*u**2\/2 - 18*u. Determine -9*d(h) + 2*l(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 190*b**2 - 17*b**2 - 11*b - 110 + 11*b + 26 wrt b?\nAnswer: 346*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -3*n**6\/40 + 13*n**5\/10 + 29*n**4\/6 + 20*n**3\/3 + 35*n**2. Let d(p) = 0. Calculate p.\nAnswer: -2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 213 = -29*q + 21. Is -830\/57 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56.84 - -55.6. Do 2 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 5*b**2 + 3*b - 4. Let k be n(-4). Let q(p) = p + 2. Let l be q(2). Suppose l - 8 = -2*o. Solve y - 4*y = -4*t + 9, k = -o*y + 2*t - 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 2*h**2 - 8*h + 11. Let b be 64*(15\/(-6) + 3) + 2. Let z = -40 + b. Is w(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2) - (-16484)\/(-8). Calculate the common denominator of (-1134)\/180 - (4\/1 + -1) and r\/(-54) - (-2)\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**4\/24 + 2*i**3\/3 - 2*i**2. Let h be q(-5). Let t = 147 - 591\/4. What is the third biggest value in 1, t, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 + -29. Suppose -2*b - b = -m. Suppose 0 = t - 1, o + o - 97 = -t. Calculate the greatest common divisor of o and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-1) - (-202 + -6). Suppose -3*h - t = -28, 3*h + 3*t - 4 - 14 = 0. What is the highest common factor of p and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, e: 1}. Give prob of picking 1 l and 1 e.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (354\/15)\/((-6)\/(-15)).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609025793 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 123*r - 918. Let u be t(8). Calculate the greatest common divisor of u and 1518.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1770.4 - 1755.4. Which is the second smallest value? (a) 0 (b) 0.02 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*s + s + 0*s)*(-35 + 2*s**3 + 0*s**3 + 57).\nAnswer: -30*s**4 - 330*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 8 - 26 = 0. What is the lowest common multiple of f and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 3*i + 12, -4*i = 2*d - 8*i - 16. Suppose d*a = 5*a - 45. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**3 + 3*d**2 + d. Let u = -9 + 7. Let k be x(u). Suppose k = r + r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m. Let g(x) = 75*x - 5. Let f(k) = -39*k + 3. Let b(c) = 5*f(c) + 3*g(c). What is l(b(j))?\nAnswer: -60*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 244?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(192))**2 + 4 + 6*sqrt(3)*-1.\nAnswer: -6*sqrt(3) + 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7978? (a) 3\/2 (b) 4 (c) 0.8 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -825*x**5\/8 - 1335*x**4 + 313659*x**3\/8 - 771*x**2\/4 - 117111*x\/2 + 20979 = 0?\nAnswer: -27, -74\/55, 2\/5, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.081 - 3.181. Let t = m + 3.1. Let h = -3 - -3.1. Which is the nearest to t? (a) h (b) 3 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4169 - 4164. What is the nearest to -1\/37 in 2\/11, -0.4, 2, h?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -5312 (base 10) to base 4\nAnswer: -1103000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence div when three letters picked without replacement from {d: 2, n: 2, v: 1, i: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 - (1 + (-12)\/(-7)). Which is the second smallest value? (a) j (b) 3\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-16)*-2*(74 + 6). Let p(g) = -g + 38. Calculate p(l).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -464654.5 to the nearest 100.\nAnswer: -464700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5874, 11645, 17396, 23121, 28814, 34469, 40080?\n\"Answer: -v**3 - 4*v**2 + 5790*v + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from sscsusussttsuuvstss.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 9 = 0, -t + 3 = -m + 3*m. Suppose -5*d = -16 - 9, 2*j - 5*d - 147 = m. What is the remainder when j is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 10*v - 14 = 0. Suppose -118 = -v*s + 92. Find the common denominator of 2 - ((-445)\/s)\/((-2)\/(-3)) and -31\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*3\/5*850\/(-68).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21050 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 10) in base 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*k - 7*k + 6*k**2)*(410 + 11*k - 410 + 5*k - 3*k - 3*k + (3 - 3 + k)*(1 + 3 - 6) - 2*k + 1 - 1 + 3 - 9*k - 5 + 13*k).\nAnswer: 60*k**3 - 12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4 = 104. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1017, -1011, -1003, -993, -981, -967, -951?\n\"Answer: w**2 + 3*w - 1021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hghiqieehoehgooeqoo. Give prob of sequence go.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7911031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 t, and 1 r when three letters picked without replacement from {v: 3, d: 2, t: 1, r: 1, g: 1, q: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 526161599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**3\/3 + 3*x**2 - 10*x + 12. Give u(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1576342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 5*d - 2. Suppose 0*g + g = -3. Let l be t(g). Solve -5*q + l*s = 21, -2*q - 2 = -q - 3*s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*a**3*j**3*n - a**3*n**2*u - 6*a**3*n*u + 2*a**2*j**3*n + 12*a**2*j**2*u - 18*a*u - j*n**2*u - 2*n wrt a?\nAnswer: 84*j**3*n - 6*n**2*u - 36*n*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - 20e3?\nAnswer: -20d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 5 + v**3 + v**3 - 1.\nAnswer: 2*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, x: 1, s: 1, v: 2, a: 1}. What is prob of picking 1 x and 2 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222582.\nAnswer: 2, 3, 37097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 1\/5*k**3 + 0*k - 1\/5*k**5 - 2\/5*k**4 + 2\/5*k**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2)\/(5\/(15\/(-6)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 741 + 348. Is 33 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/46641 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41 - -204145?\nAnswer: 204186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by -1 + (-1 - -5) + 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17444 and 181204?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76.5507648888 + 0.0506266888. Let d = 76.5 + k. What is d rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 15. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a day in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3192 + 1070. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6508228, -6508156, -6508084?\nAnswer: -6508012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 4*c + 5 = n, -n = -c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.407015748 and -0.1.\nAnswer: -0.0407015748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 10:36 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0, 0.06, -1\/2, 5 in decreasing order.\nAnswer: 5, 0.06, 0, -1\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -11*q + 69. Calculate k(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1033808 rounded to three dps?\nAnswer: -0.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3045 - 3044. Sort 3, 307, -4, o, 2 in decreasing order.\nAnswer: 307, 3, 2, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 + -241174?\nAnswer: -241173.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.264425 litres to millilitres.\nAnswer: 7264.425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18b403 (base 14) in base 6?\nAnswer: -30440043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssiziiiiiisssz. What is prob of sequence ssiz?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -8*o + 16800. Round o to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*5\/(-700)*-5*-1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 2 - 4 - -6) + 4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 3:46 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 30344833 - 30344833 + 25407*h in the form x + d*h and give d.\nAnswer: 25407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -850 + 852. Suppose -y = y + 10. Put c, y, 10 in ascending order.\nAnswer: y, c, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + 3*t + 32*t**2 + 31*t**2 + 38*t**2 - 111*t**2 to the form p + o*t**2 + l*t and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 4 (c) -29 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(-2 + 4 + 4)*(3*z - 4*z - z).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 21235*d + 764462. What is u(-36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (0 + (-4 - 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 4*u - 20, 0 = -5*k - u + 12 + 49. Suppose k = -j - 9. Let n be (-196)\/j*6\/4. Solve -2*q = -y - n, 0*q = -q + 5*y + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/5, -5.14, -2216\/9?\nAnswer: -2216\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-36)\/30)\/(2\/(-10)). What is the third derivative of -3*o**4 + f*o - 5*o - 9*o**2 - o wrt o?\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**3 - 2*a**3 + 0*a**3)*(-4*a - a + 6*a) - a**4 + 4*a**4 + a**4 + (-4 + 4 - a**3)*(-1 + 1 + a) + 0*a**4 + 2*a**4 - 3*a**4.\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 83, 365, 837, 1493, 2327, 3333, 4505?\n\"Answer: -i**3 + 101*i**2 - 14*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*h - 56, 17*h = 21*h - 5*g - 120. Calculate the least common multiple of 16036 and h.\nAnswer: 80180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 12\/25 of a kilometer?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -71.435 and -0.06.\nAnswer: -71.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*-6*(sqrt(98) - (sqrt(98) + 2*sqrt(98)))*4*-1)**2.\nAnswer: 3612668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -8*k. Solve -5*t + 5 = 0, 2*r - 4*t + 8*t - 6 = k for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hz when two letters picked without replacement from {h: 4, t: 4, z: 9}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (((-504)\/804)\/(-42))\/((-5)\/15)\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 5. Let c = -37 + 35. What is the remainder when c\/11 + ((-1605)\/(-55) - 6) is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62 - 14) + -7 + -55?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -59*s - 304. Let r be 5 + ((-1236)\/120 - 3\/(-10)). Give t(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*x**2 - 1119 + 35*x**4 - 511*x**4 - 143*x**4 - 293*x**4 with respect to x.\nAnswer: -3648*x**3 + 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*m**2 - 2 + 9*m**2 + 6 - 2 + m**4 + 2*m**3 to c + n*m**4 + z*m**2 + s*m + a*m**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 682125 by 5.\nAnswer: 136425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j - 31. Let r be d(-7). Let z(p) be the third derivative of -2*p**2 + 0*p - 1\/300*p**5 + 0*p**3 + 1\/60*p**r + 0. Factor z(c).\nAnswer: -c*(c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -171854, -171561, -171264, -170963, -170658, -170349, -170036?\n\"Answer: 2*a**2 + 287*a - 172143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-8)*f**1)\/(f\/f**9*f*f\/(f*f**(-3\/7)\/f)) assuming f is positive.\nAnswer: f**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 3 = 3*c. Factor v**2 + 48*v**3 + 5*v**c - 33*v**3 - 12*v**3.\nAnswer: 3*v**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 3:13 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020763536 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 10:07 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s, -3*s - 30 = 4*m + m. Let b(k) = -k**3 - 5*k**2 + 6*k + 8. Give b(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from ffgy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.880268 rounded to three dps?\nAnswer: -1.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/5))**35\/(a**(1\/3)*a\/(a**(-3\/2)\/a)) assuming a is positive.\nAnswer: a**(229\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r - 15 = 36. Which is the closest to 1? (a) r (b) -4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is e99 (base 15) in base 16?\nAnswer: cde","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c + 4*c - 6*c - 1 + 2*c**3. What is the remainder when w(3) is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1040 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46059995287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5675 divided by 5\nAnswer: -1135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*g*n**2 + 135*g*n + 6860025*g + 12*n**2 + 2*n wrt n.\nAnswer: -18*g*n + 135*g + 24*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 33*w**5\/10 + 67*w**2\/2 + 23*w + 34. Let y(k) be the first derivative of q(k). What is the derivative of y(r) wrt r?\nAnswer: 198*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 155 and 1224035?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + sqrt(1584)*1 - sqrt(1584))**2 + sqrt(11)*-2*5.\nAnswer: -10*sqrt(11) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**4*x + 14*n**2*x + 2*x - 11 wrt n.\nAnswer: 12*n**3*x + 28*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 5*v**2 + 2*v - 2. Let b be y(5). Let a be (6\/b)\/((-6)\/24). Let u = 7 - a. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/((-9)\/6) - (-7 - -3). Solve z*d - 8 = s - 2, 2*d + 18 = -5*s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14161123*x**2 - 5543*x - 132.\nAnswer: -28322246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 11:16 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 17*h**3 - 2048*h**2 - 4*h - 9. Let v(n) = -13*n**3 + 2050*n**2 + 3*n + 7. Calculate -3*k(y) - 4*v(y).\nAnswer: y**3 - 2056*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(28)*4).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*w - 10, -3*p + 8 = -4*w + p. Let f(k) = -k**3 - k**2 - k + 4. Let h be f(w). Suppose h*c = 4*v - 72, 4*v - c - 12 = 48. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735 is divided by 123?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from memmmme. What is prob of sequence em?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -50*a**2 + 10*a. Let l(x) = 17*x**2 - 3*x. What is 3*b(d) + 10*l(d)?\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 f when four letters picked without replacement from {f: 1, v: 2, q: 1, r: 2, p: 7, a: 1}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/301, 6, -97\/2, -1.66 in increasing order.\nAnswer: -97\/2, -1.66, 2\/301, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10470540733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 32 = p. Suppose 75 = 22*f - 6899. Let l = f - 191. Calculate the remainder when l is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/5, -2, -361, 3, -0.2, 1, 1\/6?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 13*o + 24. Let b be r(4). Solve b*t = 2*d - 0 + 18, 0 = -4*t - 4*d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35715 - 75771?\nAnswer: -40055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**4\/48 - x**3\/3 + 2*x**2 + 9*x. Factor a(z).\nAnswer: (z - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-172)\/344*2\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/81 + (-112)\/(-18) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(242) + (sqrt(242) - sqrt(242)*2) - sqrt(242))*2 + 0 + sqrt(242) + 4)*-6 + -5 + 1)**2.\nAnswer: -6072*sqrt(2) + 10828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 408974113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -1141?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -1298724032959 and 2.\nAnswer: -1298724032957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1011010001100111101011?\nAnswer: 1011010001100111100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 708 = -19*y + 2627. Let o = y + -98. Solve 5*i = -w - 11, o + 7 = -5*i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u + 12. What is the tens digit of l(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**2 + 2*p**2 - 4*p**2)*(2 - 3 - 1)*(7 + 4 + 4)*(0*p - 3*p + 2*p)*(-2 + 4 - 1)*(-3 + 0 - 1)*(-1 - 4 + 2) to x + j*p + q*p**2 + y*p**3 and give y.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -122 + 206. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59137 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 1:54 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/27)*o**(-5\/4))\/(o\/(o\/o**(-2\/3)))**(1\/37))\/(((o**(-2\/7)*o)\/(o**(-4)*o*o))\/((o*o\/((o**6*o)\/o*o)*o)\/(o**(-2\/25)\/o))) assuming o is positive.\nAnswer: o**(-4853381\/699300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 972 and 846.\nAnswer: 45684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-680)\/(-2550)*(-5)\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10454, 10447, 10438, 10427, 10414?\n\"Answer: -c**2 - 4*c + 10459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -303.409026 to 0 dps.\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1342 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 21\/(-7) + (-4)\/(-7). Which is the third biggest value? (a) -1\/5 (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -0.6679.\nAnswer: -0.4679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4564\/(-1793))\/(3 + -5).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 10, z: 2, g: 2}. What is prob of sequence gczz?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u + 3. Let y(r) = 2*r + 3. Suppose 17*s = 18*s + 3. Let g(d) = s*y(d) + 4*x(d). Determine g(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000072601 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 1818 divide 760840272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 + 45. Is (419445\/(-57))\/(-3) + 10\/i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*t - 269, 3*d - t + 239 = 5*d. Let l = d + -119. Factor 0 + 1\/3*i**l + 4\/3*i - 4\/3*i**2.\nAnswer: i*(i - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01410178 rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 6 + 6 + -9 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*u - 14*u - 7*u**3 + 1 + 2*u**3)*(-6*u**2 + 15*u**2 - 24*u**2).\nAnswer: 75*u**5 - 30*u**3 - 15*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 431.6 or -21?\nAnswer: 431.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -7 - (-6 + -5 - 8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 355109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247, 984, 2213, 3934, 6147?\nAnswer: 8852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -289313 and 3.\nAnswer: -867939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3228, -3178, -3086, -2946, -2752?\n\"Answer: x**3 + 15*x**2 - 2*x - 3242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1113312300 + -10?\nAnswer: 1113312230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 30*a**2 - 3 + 6 - 29*a**2. List the prime factors of f(-9).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -2*b**3\/3 + b**2\/2 - 3*b + 162. Let l(r) = -3*r**2 + 2*r - 7. Determine -7*j(t) + 3*l(t).\nAnswer: 5*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**4 + 9421*m**2 - 14153*m.\nAnswer: -12*m**2 + 18842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -219 and 0.22651.\nAnswer: -49.60569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2.19 (b) -0.07 (c) 1\/8 (d) 1.8 (e) -0.1 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2801168913?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-2\/5)*q)\/q)\/(q**(1\/2)*q))\/(q*q**(-1)*q**2) assuming q is positive.\nAnswer: q**(-29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-4*(1*sqrt(304) - sqrt(304) - sqrt(304))*-6)**2*6*1*-6 + -3.\nAnswer: -157593603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1300 + -312. List the prime factors of i.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p + 2*j = 1258, 5*p - 1571 = -2*j. Let q(k) = 50*k + 952. Let l be q(-19). Suppose l*d = 21 + p. List the prime factors of d.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75 - -141. Calculate the highest common divisor of k and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3479*j**2 + 1590*j**2 + 1388*j**2.\nAnswer: -501*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 16*r - 3. Let n(u) = -u**3 + 11*u**2 - 3*u + 24. Let s be n(11). Is 7 a factor of i(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 0 - (1 - (17 + -25 - -5)) - 105.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 19 = -5*u, 4 = -v + 3*u + 11. Suppose -5*p + v = -3. Let q(b) = -9*b + 7. Let g(i) = i. Let a(m) = 4*g(m) + q(m). Calculate a(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10993 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 20*x - 9. Give l(-9).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, t: 2}. Give prob of picking 2 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**4\/4 + 13*j**3\/3 + 13*j**2\/2 + 26*j + 210. Let p be a(14). Let r(l) = -2*l**2 + 24*l - 8. What is r(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74299279 to the power of 1\/3, to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*d + 6*d + 124*d)*(22*d**2 + 5*d**2 + 21*d**2) as p + w*d**3 + v*d + o*d**2 and give w.\nAnswer: 5184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 535 + -417. Calculate the remainder when p is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 5*f - 2*f. Suppose -4*p + f + 42 = 0. Solve 0 = -5*u + 2*y - y + 20, -y = 3*u - p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11920, 23757, 35582, 47389, 59172, 70925, 82642, 94317?\nAnswer: 105944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-84)\/5)*-3.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11326691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + l + 35. Let f be v(0). Suppose -7 = -2*i + f. Solve -41 = -5*c + 4*j, 2*j - i = 5*c - 54 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2, 4.\nAnswer: -12, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2967982.\nAnswer: 2, 1483991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*z + 402*z + 20 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*76\/95*20?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 353\/9 - 39. Let z be (0 + 2)\/(-4)*0. Solve -i*o + 2\/9*o**3 + z + 0*o**2 = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121893 and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/24 - (-3)\/(-6)) + 4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307*t - 648*t - 3*t**2 + 341*t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, 1\/52237, -88 in decreasing order.\nAnswer: 1\/52237, -0.9, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 4) to base 10\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11346 + -5378. Calculate the remainder when j is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*m - 298, p + 4*p - 54 = -m. Let h = m - 22. What are the prime factors of h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 543 (base 7) to base 5.\nAnswer: 2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 7*v**2 - 5*v - 12. Let h = 21024 + -21020. What is s(h)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/41, 2, -2, -1439572.\nAnswer: -1439572, -2, 3\/41, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 40 = 5*v, y - 2*v = 3*v - 5. What is the units digit of (2\/6)\/((-5)\/y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 8*a - 16, -p + 3*a + 19 - 32 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -682 + 10226\/15. Let f(u) = -u**3 - 6*u**2 - 8*u - 3. Let q be f(-4). What is the third biggest value in x, 5, 4, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -11 (c) -5 (d) -3 (e) 302 (f) 518\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 77*c + 287. Determine q(-72).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5*o = 51, -3*v + 26 + 16 = 5*o. Let a = 21 - v. What is the remainder when 23*(-2)\/10*-5 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 3249.\nAnswer: 3248.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g = 4*t - 15*g + 3, -5*t - g = 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 122799244 and 596?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 11*r**3\/6 + 53*r**2\/2 + 40*r + 5. Give z(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 - 9*a. Let w be f(-4). Suppose 0 = w*b - 3*g - 23, 49 - 19 = 5*b - 4*g. Calculate the smallest common multiple of 25\/2 + (-3)\/6 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -17715?\nAnswer: 19\/17715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 227\/1729 + 3\/133. What is the biggest value in -1\/2, k, -0.043?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -4\/9 (b) -5 (c) -2 (d) -351815\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 6:32 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 0)\/((-39)\/78)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 22 = -5*f, 0*f = 4*f - r + 14. Let o be (-2 + 16)*(-2)\/f. Let z = o + 1. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2608219*o**4 - 835457*o**2?\nAnswer: -62597256*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 44*v + 266. Let u be n(37). Put 3, u, -8 in descending order.\nAnswer: u, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 26?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-10)*d*d*(d\/(d*d**(3\/2))*d*d)\/d*d*(d*(d*d*d*d\/((d*d\/d**(-3\/8)*d)\/d)*d)\/d)\/(d*d*d\/d**(-5\/7)*d) assuming d is positive.\nAnswer: d**(-537\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 520*s + 24. Let n(u) = -3*u + 1. Calculate 2*k(i) - 48*n(i).\nAnswer: 1184*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 457, -1, -0.4, 6, -53\/6 in increasing order.\nAnswer: -53\/6, -1, -0.4, 6, 457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 243752172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -2, -106, 5 in ascending order.\nAnswer: -106, -2, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 9:05 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 10*v + 3. Calculate the remainder when n(7) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -2. Suppose -2 = -3*i + 4. Suppose 2*c = n - 4*n + 15, -5*n = i*c - 17. Solve x = -c*u + u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x + 15. Let h(i) = -i**2 + 61*i + 785. Let o be h(72). What is f(o)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 263103524?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5744 divided by 8\nAnswer: -718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*i + 64*i + 12 = 0. What is the second derivative of -i*k**3 - 62*k**4 + 120*k**4 - 59*k**4 - 47*k wrt k?\nAnswer: -12*k**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291*f - 1357 - 1262 = 0 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120 - 38. Suppose 4*o - 118 + z = 0. Is 8 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -5 + -5 + -6 + 3 + 10\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) -16 (b) 2\/11 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37062, 37794, 38538, 39300, 40086?\nAnswer: 40902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1398865?\nAnswer: 5, 13, 21521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvkvvkhbkvkvhhvk. Give prob of sequence vkhb.\nAnswer: 1\/416","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74759 + 190327 + 15*w - 58386.\nAnswer: 15*w + 206700","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*g + 204*g - 1800 = 59*g + 77*g for g.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/159959767 and 37\/58167188?\nAnswer: 639839068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -62, -32997, 2 in descending order.\nAnswer: 2, -2, -4, -62, -32997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6256150?\nAnswer: 2, 5, 211, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -44, 4, 3, 1, -63 in decreasing order.\nAnswer: 4, 3, 1, -5, -44, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 9:15 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/273 and -4\/63.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 17*c**2 - 11*c - 926. Calculate m(-19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*u**2 + 82*u**2 - 1 - 135*u**2.\nAnswer: -153*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 10*o - 140. Suppose 115 = -15*d - 5. Let h be f(d). Let u(a) = -a**3 + 4*a**2 + 7*a - 4. Let c be u(5). Solve h*l = l + c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 3*x + 2*c - 3, 0 = -4*c + 16 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1459 divided by 9\nAnswer: 1459\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 865.\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b - 2. Let s be h(3). Is (4\/s)\/(8\/20)*-25 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**6\/30 + 2*b**5\/25 - 2*b**3\/15 - b**2\/10 + 5. Determine x, given that k(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1928016 and -13\/168.\nAnswer: 13496112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 464*v - 194*v - 80*v - 187*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/7 + 33*c**2\/7 + 373200*c\/7 + 49320000\/7.\nAnswer: -3*(c - 411)*(c + 200)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 - 15*m - 4. Suppose 7*u = 11*u + 16. Let a(c) = c**2 - c - 1. Let q(k) = u*a(k) + x(k). Find the second derivative of q(l) wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 228*y - 12320.\nAnswer: 2*(y - 154)*(y + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1015933\/1006452 - -3\/18638. Let f = -13\/121 - 4870\/847. Calculate the common denominator of h and f.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 5. Suppose 0 = -2*n + 3*v + 23, -3*v + 4*v = -n - 1. Let r be b(n). Calculate the highest common divisor of r and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*h = 20, 5*h + 70 = -5*g + 35. Is 2234\/4 - 12\/g a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -10*y**2\/21 + 4*y\/21 = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41328*b**2 - 26421*b wrt b?\nAnswer: -82656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**5\/60 - v**4\/4 - 7*v**3\/6 - 7*v**2. Let x be g(-5). Let k(c) = -c - 2. What is k(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 25.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/38647?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1233*u**2 - 5155*u**2 + 3859*u**2 + 32398*u**2.\nAnswer: 32335*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 23?\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29946 - 29957. Put -25, -3, u in increasing order.\nAnswer: -25, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from glgglg.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 41, 98, 195, 344, 557?\nAnswer: 846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*(-10 + 19) - -3139?\nAnswer: 2, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000011065351421 to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 + 2*l\/5.\nAnswer: -2*l*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 - 55. Suppose -4*w = 5*d - s*d - 29, 2*d = 5*w - 28. Let r = 36 + w. List the prime factors of r.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 5 (c) -2051 (d) -0.5 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1562287 is divided by 91885.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/4)\/2)\/(((-26059)\/(-644))\/103)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*q - 0*q. Let v(t) = -2*t - 5. Let j be v(q). Which is the third biggest value? (a) 5 (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2598303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of 7*l**4\/6 - 7*l**2\/2 - 14. Let j(x) be the second derivative of m(x). Let r(g) = g**2. Give r(j(v)).\nAnswer: 784*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2034 + a?\nAnswer: 2041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8d + 7b2b?\nAnswer: 7bb9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 5:17 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4 + sqrt(539) + (sqrt(539)*-1 + sqrt(539))*1 - (sqrt(539) + sqrt(539)*2 + 0 + 0)*1)**2.\nAnswer: 168*sqrt(11) + 2192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -466*c + 2822. Let h be z(6). Solve -10 = -8*o - h for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 227994732?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 less than 3?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1\/2, -6\/5, -3, 1\/6, 142\/275?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64609*d = 64596*d + 11388. List the prime factors of d.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 2*w - 44, -3351*b + 3349*b + 26 = -2*w for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 39468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/(16\/(-60))*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11420 and 46.\nAnswer: 262660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1530, -1471, -1412, -1353?\nAnswer: -1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from {q: 2, r: 1, z: 1, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13524*i + 261*i - 7800*i to the form x*i + y and give x.\nAnswer: -21063","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n - 160*n**3 + 12*n - 22*n.\nAnswer: -160*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 3. Let s be d(0). Suppose -2*b - s*b = -10. Suppose -5*c + 55 = j, -2*c + 40 = c + b*j. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*g + 9*g. Find the second derivative of g*l**2 - 879*l - 5*l**3 + 835*l - 2*l**2 wrt l.\nAnswer: -30*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-11))**(-3\/16)\/((o\/(o*o*o**(7\/4)*o*o)*o)\/(o*o**(-7\/5)*o*o)) assuming o is positive.\nAnswer: o**(31\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000734 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - m - 12*m + 2*p = -87, -8*p = -4*p + p - 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*j - 12519, 0 = -2*j + 7*j - 15. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3223 (base 4) to base 3\nAnswer: -22201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 45 = 4*o. Suppose -b - 1270 - 886 = -s, -10772 = -5*s - 3*b. Let c be 2\/12 - s\/(-30). What is the greatest common divisor of o and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**38\/c**(-3\/4)*(c**(-26))**(-23) assuming c is positive.\nAnswer: c**(2547\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 347 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -88. Let i be (-221)\/(-26)*1*2. Calculate the highest common factor of i and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20524122*l**5 + 154877*l**2 + 4*l - 1?\nAnswer: 1231447320*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -28, -43, -58, -73?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 55904 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1169.\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 8:19 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020763 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/610872 and -83\/174709392.\nAnswer: 174709392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, u: 7, a: 3, d: 1}. What is prob of picking 2 u and 1 c?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/12793135 and -6\/25.\nAnswer: 63965675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 q when two letters picked without replacement from fqfqbqqsqffqe?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 580186?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = u - 27 + 22, 3*u - k = 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*1*-1*(-28 - -30). Suppose 17 = -5*q - 3*y + 4, -n*y - 2 = 0. Let s be q\/(-10) + 38\/10. Solve -2*o - 4 = -s*o - 5*x, -5*o = x + 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**3 - 144*n**2 - 1462*n - 1320 = 0.\nAnswer: -60, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6675312072.\nAnswer: 2, 3, 11, 13, 17, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**6\/540 - z**5\/90 + 4*z**3\/27 - 3*z**2. Solve v(p) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3040 and 9121653.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 376, -6, -2, 1 in increasing order.\nAnswer: -6, -2, 1, 5, 376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1765 divide 57857613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 14*b**2 + 12*b - 36. Let z = -212 + 328. Calculate the least common multiple of z and v(-15).\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/7 - 472*r\/7 + 474\/7.\nAnswer: -2*(r - 1)*(r + 237)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47032 is divided by 233.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -5 (c) -2.5 (d) -13 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q. Let t(d) be the second derivative of 0*d**3 + 0*d**2 + 0 - 1\/3*d**4 + d. What is t(k(v))?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -10*m + 31 + m**5 + 5\/3*m**3 - 15\/2*m**2 + 15\/4*m**4. Let o(f) = 0. What is f?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34917 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 2:41 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118386*n**3 + 26408*n**3 + 50219*n**3.\nAnswer: 195013*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/60*((-8)\/(-26))\/(-1)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 302, 6325, 25720, 66143, 135250, 240697, 390140, 591235?\nAnswer: 851638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 + 13*w - 6. Let a be h(4). Let p = -139 + a. Let m = 157 + p. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbdfwfhrfwhh. What is prob of sequence wbhf?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2419803*d**5 - 7*d**3*m - 2*d**2*m + d*m - 2*d + 844516*m - 1 wrt d.\nAnswer: -48396060*d**3 - 42*d*m - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -43*v**2\/2 + 121. Let n(o) = 2323*o. Let h(l) = -3*n(l) - 161*s(l). Let f(x) = -2*x**2. Calculate h(f(k)).\nAnswer: 92*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 974570362?\nAnswer: 2, 7433, 65557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -9. Let u = g + 8. Let a = -0.1 - u. Which is smaller: a or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*2\/114*(-8892)\/1976?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -74, -66, -34, 34?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*p = -1, 6*t = 4*t - 2*p - 4. Let u(m) = -6 - 5*m + 2*m - m. Give u(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrhrixr. What is prob of picking 1 x, 1 r, 1 h, and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 332 and 32?\nAnswer: 2656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*f + 27*f + 28*f + 45*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1678*x = -1661*x - 51 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30285, -30286, -30287, -30288, -30289?\nAnswer: -30290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/6394941 and -151\/4263294.\nAnswer: 12789882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/3, -6\/11, -8, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3188 + 3191. Factor 10*v**4 + 0*v - 8\/3*v**2 + 0 - 8*v**t - 8\/3*v**5.\nAnswer: -2*v**2*(v - 2)**2*(4*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(4\/(-3)) + -9. Let q be (1\/2 + (-27)\/s)\/(-1). Sort -3, q, 34 in descending order.\nAnswer: 34, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k + 3. Let u be c(-1). Suppose -5*n = -l + 23, 3*l + 2*n + 2 - 3 = u. Solve -l*j + 7*j - 10 = -3*z, 8 = 4*z + 4*j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 8*x - 53*x + 64*x - 1 + 4.\nAnswer: 3*x + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13346424.\nAnswer: 2, 3, 7, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 858*z + 8382*z**2 - 8385*z**2 - 858*z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -51.477 * -0.4\nAnswer: 20.5908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 8 - 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12237*w - 1619*w**2 - 12237*w.\nAnswer: -1619*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1447, 1450, 1453?\nAnswer: 1456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 578*c - 362*c + 23*c - 381*c - 486*c in the form h + t*c and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or 43?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-84)\/9)\/(1\/3). Let c be (-16)\/(-56) - (-1)\/t. Factor 1\/4*n**3 + 0 + 0*n**2 - c*n.\nAnswer: n*(n - 1)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 3*t**2 + 7*t + 5. Give o(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 10*b - 19. What is g(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 22*u. Let m(x) be the third derivative of -5*x**4\/24 + 169*x**2. Determine m(q(h)).\nAnswer: -110*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1 + sqrt(1008) + sqrt(1008) - sqrt(1008)) - -1*(-1 + sqrt(1008)))**2.\nAnswer: -288*sqrt(7) + 4068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4359*a**2 + 7816*a**2 + 576*a**2 + 8538*a**2 + 4663*a**2.\nAnswer: 17234*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64335 and 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1611593997 to the nearest integer?\nAnswer: 1172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341 - 2*b**2 + 636 - 295.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(5\/2)*n*n)\/(n*n\/(n*n**(-13))))\/((n\/(n**4\/n))\/n)**(-30))**(-1\/11) assuming n is positive.\nAnswer: n**(199\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(238\/(-136)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2147 divided by -5047\nAnswer: 2147\/5047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*(-21)\/(-91)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208717805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4527*u. Let y(m) = -2*m**2. Give y(b(p)).\nAnswer: -40987458*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16\/247? (a) -4 (b) 1 (c) 3 (d) -0.1 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 845*h**3 - 844*h**3 - 31 - 5*h**4 - 2*h**2 + 10 as d*h**2 + m + w*h + s*h**4 + a*h**3 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.11839 times 56\nAnswer: 6.62984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*r + 48*r + 3*y = -50814, r + 4*y = 16923. What are the prime factors of r?\nAnswer: 3, 5, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 73 + -1058 + 1020 - 179?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - m = 3*m + 90, 217 = 5*h - 2*m. Suppose -4*x + 60 = -4*k, -4*x - x - 3*k + h = 0. What are the prime factors of x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12919977 a multiple of 841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*p - 5*b + 40 = -23*p + 68*p, -1 = -p - b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/71680 and -97\/20480?\nAnswer: 143360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 318.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4532 - -303?\nAnswer: -4225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.4, 23, -5, 1, 2, 0 in decreasing order.\nAnswer: 23, 3, 2, 1, 0, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 - 62*g - 36. Calculate f(-26).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 7*n**5\/20 + 19*n**2\/2 + 2*n. What is the derivative of z(b) wrt b?\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2396325 is divided by 1709.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43042891246 - 6.\nAnswer: 43042891240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 327924763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -132.0732 - -126.97. Round k to one dp.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6*g. Let c(t) be the second derivative of t**4\/12 - 75*t. Determine c(i(r)).\nAnswer: 36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10418, 41401, 93038, 165329, 258274, 371873?\n\"Answer: 10327*h**2 + 2*h + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*z**2 + 6*z**2 + 9*z**6 + 18*z**6 wrt z.\nAnswer: 3240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 - 3*v**2 + 2*v**2)*(16*v - 60*v - v**2 + 64*v - 1).\nAnswer: v**4 - 20*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**5 - 68*q**4 - 160*q**3 + 160*q**2 + 704*q + 448 = 0. What is q?\nAnswer: -14, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -12*l**3 - 2*l**2 + l. Let q be o(1). Suppose 25 = 4*g + g. What is the remainder when (q\/(-4))\/((-4)\/(-16)) is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1192.6 less than -0.1?\nAnswer: 1192.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -481124.128 rounded to the nearest 10000?\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -45933074+24.8\nAnswer: -45933049.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 + 39*x + 855. Let c be o(-13). Solve -q + c*q + 27 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -2. Let s be (42\/49)\/(j\/14). Suppose 0 + 17 = 2*p - k, -s = -3*p - 5*k. Solve 3*y - 3*h + 3 = 0, y - 2*h = -p*h + 23 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1650 not equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37539 and 61947692?\nAnswer: 4171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 6*l**2 + 6*l + 9. Let a be u(-5). Solve 5*g + 4*h = 1 + 1, g = -3*h - a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12524*d**3 - 12*d**4 + 12523*d**3 - 818*d + 4*d**2 - 30*d**6 - 12*d**4 + 24*d**4 wrt d.\nAnswer: -3600*d**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 5. Let o(i) = -r - 1 - 2*i - 5. What are the prime factors of o(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12539924 to the power of 1\/3, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 676 divide 2893577440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from niiiiziziixnii. What is prob of picking 1 z and 1 x?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 3*r + 37, -330*r = 2*f - 333*r + 5. Let j(v) = -3*v**2 - 2*v + 3. Let g(i) = i**3 + 10*i**2 + 7*i - 8. Determine f*j(u) - 2*g(u).\nAnswer: -2*u**3 + u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185 - 175 - 23*b**3 - 43*b**3 + 276.\nAnswer: -66*b**3 + 286","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*r + 366 = -196*r + 2446 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -23, -5, 3, -0.5, -4\/5, -11.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37186844?\nAnswer: 2, 389, 23899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - o + 24*o + 9 to h*o + q and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14471 = 3*c - t, -2*c - 613*t + 612*t = -9649. Is c a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 413 or 314?\nAnswer: 314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a week?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -88699, -88686, -88673, -88666, -88671, -88694, -88741, -88818?\n\"Answer: -t**3 + 6*t**2 + 2*t - 88706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1518*d**2 - d. Let b be t(1). Let i = b + -853. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -7, -270\/47, 3\/2, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j + 25. Let h be t(-6). Let a be ((-8)\/h)\/(31\/(-651)). Is 16 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*g + 0)*(1 - 4 + 2 + (0 - 3 + 1)*(0 - 1 + 3) + 4 - 1 - 2 + 0 - 2 + 0 + 4 + 0 - 2)*(-3 - 1 + 2).\nAnswer: 16*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24729021 take away -2622?\nAnswer: -24726399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549449 is divided by 370.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113\/2 + 55. Let r = -0.2 + 0.3. Which is smaller: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 787711.2l?\nAnswer: 787711200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -708 - -275. Let j = b + 441. Let m(c) = 2*c. Let n be m(3). Solve 3*s = 2*q + 1, 5*q - j*s = -4*s - n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18434 is divided by 542.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**2 + 8*n + 2. Let y(p) = 4*p**2 - 9*p - 3. Let h(o) = -3*f(o) - 2*y(o). Let d(q) = -161*q - 961. Let v be d(-6). Determine h(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 15, 3*h - 49 = -0*h - 5*d. Suppose 13 = k - h. Calculate the lowest common multiple of 33 and k.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11101101 (base 2) to base 13\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (71172\/(-59310))\/(6\/(-550))?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 11*d**2 - 24*d - 15. Let a(c) = 2*c**2 + 2. Let r(p) = -5*a(p) + x(p). Solve r(m) = 0.\nAnswer: -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**4*k**5\/k)**(2\/39)*((k\/(k*(k**5*k)\/k))\/k)\/(k**(-4)*k)*(k*k*k*k**1)**(-6\/13) assuming k is positive.\nAnswer: k**(-57\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 3:34 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u - i - 12 - 3, 432347*u - 432352*u + 3*i + 45 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086368 divided by 544?\nAnswer: 1997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*l - 2*l + 6*l)*(71 - 20*l**2 - 71) to the form t + d*l + v*l**2 + k*l**3 and give k.\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2101564 + 2943897. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5923 = -3*i - 4*q, -3*q - 7361 = -5*i + 2530. Is 31 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4601 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 968 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*d**2*m + 299*d*m**2 - 6*m**2 - 196*m - 2 wrt d.\nAnswer: -60*d*m + 299*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1783 + 168?\nAnswer: -1617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5470 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 12:39 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-4 + (-3 - -2)) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (23644\/14 + 4)*2800. What is c rounded to the nearest 100000?\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37538112.\nAnswer: 2, 3, 195511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 967 = 5*l, 3*x = x + 2*l - 482. Suppose 5*b - 3941 + 1066 = 0. Let c = x + b. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5\/7 - 2866*p**4\/7 + 1393964*p**3\/7 - 187640024*p**2\/7.\nAnswer: p**2*(p - 2294)*(p - 286)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 7*n - 6. Let p(h) = -2*h**2 - 14*h - 11. What is -3*p(y) + 7*r(y)?\nAnswer: -y**2 - 7*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 4:58 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/6 - 16\/(-3). Suppose -2*c - 208 = -5*v, 3*c = a*c + 16. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.123036478 to four decimal places.\nAnswer: -0.123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 2. Suppose -2*j - 2*a = -10, 2*j = -2*j - a + n. What is the least common multiple of j and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 9*p**2 + 13*p + 4. Let h be j(-10). Let t = h + 37. What is the remainder when 30 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.575 + 1.275. Sort 0.4, -1\/2, w, 2 in decreasing order.\nAnswer: 2, w, 0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -1306 - 168. Let l be (c\/33)\/(2\/15). What is the remainder when 51 is divided by (-3)\/18 + l\/(-30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -94 + 93. Let x(f) be the first derivative of f**2\/2 + f + 2. Let m(j) = -4*j - 3. Give p*m(q) - 5*x(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -374 by 34.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 24*o**2. Let d(m) be the third derivative of -5*m**5\/12 - 68*m**2 - m. What is -3*d(s) - 2*j(s)?\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmmq when four letters picked without replacement from {b: 2, z: 4, q: 3, m: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11900952 and 179928?\nAnswer: 83306664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p. Let r(u) = -u**3 - 5*u**2 + 3. Let l be r(-5). Suppose -95 = -2*a - l*a. Let s(n) = 2*n**2 + 18 + n - n**2 - a. Calculate 2*o(y) + s(y).\nAnswer: y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2797162, 5594325, 8391488?\n\"Answer: 2797163*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*d + 13. Suppose -d*o + 528978 - 38278 = 0. Round o to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-30)\/o**(-13\/3))\/((o*o\/o**(-14))\/o**(-3\/7)) assuming o is positive.\nAnswer: o**(-884\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 2. Let q be u(-2). Let t be q - (0 - (1 + 0)). Suppose 12 - t = z. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6*x + 4*u - 17 = 0, 3*x - 5 = 2*u. Solve -x*g + 13 = 5*d - 6*g, -4*d + 5*g = -13 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-3))\/((-12)\/(-8))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 140.86779976 + -144.8678. Let b = n + 4. What is b rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (-22)\/5*10\/(-4). Solve 0 = 5*d - 0*d + a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b - 109 = 41*b + 3 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(6\/11)\/(c\/(c**(2\/5)*c)))\/(c*c*c**5*c*c*c\/c**(-1)))**(-6) assuming c is positive.\nAnswer: c**(3318\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45444 (base 7) in base 13?\nAnswer: 5343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -289, -579, -869, -1159, -1449?\nAnswer: -1739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvwvwwwwwvw. What is prob of sequence ww?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3875986 divided by 3.\nAnswer: 3875986\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/98 and 1\/11322136?\nAnswer: 11322136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -41*k**2 + 31 + 0*k - 3\/4*k**4 - 1\/3*k**3. What is the second derivative of c(n) wrt n?\nAnswer: -18*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 304704*n**2 - 1218880*n.\nAnswer: 4*n*(n - 4)*(n + 76180)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from {i: 2, u: 1, h: 5, a: 1}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4\/14 - (-9 + (-19512)\/63)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 8:54 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 51030\/11*b + 6\/11*b**5 + 26244\/11 + 19440\/11*b**2 + 3060\/11*b**3 + 20*b**4 = 0?\nAnswer: -9, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(3 + -3 + -1). Suppose -5*a + 57 = 12. Suppose 5*k - 2*d + 5*d = a, 9 = -5*k + 3*d. Solve k = -4*x + s + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*(y*y\/y**(1\/3))\/y)**(-3\/14)*y**(-3)*y*(y\/(y\/(y*y**(-6))))\/y)**(-1\/2) assuming y is positive.\nAnswer: y**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 54 + 16 = 0. Let s = -27 + b. What is the remainder when 19\/((-5)\/10*(1 - 3)) is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -735*r**3 - 651*r**3 + 1316*r**3 + 2*r**2 as q*r**2 + p*r**3 + s + z*r and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55562, -55455, -55348?\nAnswer: -55241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2231145625 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 809 and 807 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 8:19 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -809.31485 rounded to one dp?\nAnswer: -809.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64119 + 215608 = 2647*v - 855 for v.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 35 = -j - m, 5*j + 4*m = 55. Let i = 22 - j. Factor n - n**3 - i*n**4 + 4*n**3 + 6*n**3 - 5*n**2 - 16*n**5 + 18*n**5.\nAnswer: n*(n - 1)**3*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8457.1 and -2?\nAnswer: 16914.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/738 and 61\/1013661.\nAnswer: 83120202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1344, -1372, -1256, -924, -304, 676?\nAnswer: 2088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by (1 - 2\/4)\/(5 + (-763)\/154)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46\/11 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**5\/7 - 60*d**4\/7 - 764*d**3\/7 + 11450*d**2\/7 + 208125*d\/7 - 31250 = 0?\nAnswer: -25, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 133401014 to the nearest integer?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.9034701 kilograms?\nAnswer: 903470100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 5:57 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 74482393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Find the second derivative of 0*w**2 + 2*w + w + v*w**2 wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 557, -30 in increasing order.\nAnswer: -30, -3, 1, 557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -61*u**3 - 60*u**3 - 29*u**2 - u**4 + 5088 + 119*u**3 - 53*u**2 with respect to u.\nAnswer: -4*u**3 - 6*u**2 - 164*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1306198726?\nAnswer: 2, 7, 93299909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**5\/20 + 105*h**4\/16 - 701*h**3\/12 + 1479*h**2\/8 - 441*h\/2 + 3867. Factor r(g).\nAnswer: -(g - 98)*(g - 3)**2*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 - 175 = -28*f. Solve 6*w - 5*w + 11 = 3*t, 0 = t - f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -76e (base 15) to base 6\nAnswer: -11435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17297288 to the nearest integer?\nAnswer: 4159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.3 times -19?\nAnswer: -176.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 12 + 6)*(-8*v**5 + 6*v**5 - v**5 - 4*v**4).\nAnswer: -51*v**5 - 68*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 11 - (8209 - 8324)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -11*k**3 + 3*k**2 - 2*k - 8. Let g(m) = 25*m**3 - 7*m**2 + 4*m + 17. Let b(j) = -4*g(j) - 9*l(j). Give b(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 7\/9 (b) -9\/14 (c) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (-3187)\/(-924) + 3\/(-18). Let v = y - 5\/154. Calculate the common denominator of v and ((-24)\/(-124)*-1)\/(-1).\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thtahhhhtmttamttatt. What is prob of sequence ama?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2 - 1. Let b = -118 - -109. Let c(h) = 13*h**2 + 3. Calculate b*f(i) - 2*c(i).\nAnswer: i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 11953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 5336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -444.7 * 16\nAnswer: -7115.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-111 - -11)\/(-2 - 0). Let b = 149 - r. What are the prime factors of b?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42*100\/(-480) - (20 - (-80)\/(-16))?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 596 divide 29358364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/5103 and 53\/476037?\nAnswer: 3332259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 216*x - 210*x + 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k - 12*k**4 + 1 - 1 - 11*k wrt k?\nAnswer: -144*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z + 3. Let b be m(-4). Suppose -g - b = 3*c, 2*g + 0 + 2 = 0. Is 2 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 9*b**2 + 21*b - 57. Let z be g(11). Let t be z\/156*(1 - (-1)\/(-4)). Solve -6*n = -t*n - 4*k - 28, -5*n + 26 = -2*k for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/373 or -1?\nAnswer: 5\/373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-39)*-3*9\/(-18).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58 + -31. Let v = 45 - n. What is the lowest common multiple of 9 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - -1.4. Let p = -0.01 - -0.01. Which is the closest to 2\/3? (a) r (b) -1\/7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 214049?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -1. Suppose 3*u + 0 = -24. Let m be ((-2)\/(-4))\/((-2)\/u). Is i not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 4*r = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1382751103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -366000 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4128 and 1824.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 461 - 133 = 0. Let x(a) = 54*a + 3 + s*a - 184*a + 62*a. Let d(r) = -27*r + 5. Calculate -3*d(m) + 5*x(m).\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561082.\nAnswer: 2, 280541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -1)\/(5\/10). What is the lowest common multiple of -3*(-2)\/6*n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -510f (base 16) in base 14?\nAnswer: -77c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -9*c**2 - 6*c + 9. Suppose 0 = -0*v - v + 4*q + 6, -3*v + q - 4 = 0. Let a be 2*(v + 1) - -8. Let n(u) = -8*u**2 - 5*u + 8. What is a*f(g) - 7*n(g)?\nAnswer: 2*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**4\/24 + 21*w**2. Let x(i) = 10*i**2 + 1. What is n(x(v))?\nAnswer: -10*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 7, 0.5, -58.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.59 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -4, 584?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*b**3*j + 3589990*b**3 + b**2*j - 6*b**2 + 4*b*j - 5217*j - 1 with respect to j.\nAnswer: -53*b**3 + b**2 + 4*b - 5217","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 121, -1, -82215 in descending order.\nAnswer: 121, -1, -82215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -231 + 8*3\/12. Let n = -183 - r. What is the remainder when n is divided by (-4)\/14 + (-86)\/(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzznnnnzzzzzzzzz. Give prob of picking 2 z and 2 n.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 a factor of 2535756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368263 is divided by 183896?\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k - 246. Let u(o) = -6*o + 246. Calculate 5*h(q) + 6*u(q).\nAnswer: -q + 246","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 11*d**4\/4 - 2*d**3\/3 - 8*d - 1. Let a(m) = 4*m**3 - m**2 - 3. Determine 8*a(r) - 3*o(r).\nAnswer: -r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3969?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90418 and 12606487.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28405, -27670, -26903, -26092, -25225, -24290, -23275?\nAnswer: -22168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -5 (c) 0.1 (d) -1.25 (e) 0.041 (f) -2\/5 (g) 11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 87112632.6ns?\nAnswer: 0.0000001440354375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 13*j**2 - 31*j + 35. What is the remainder when 74 is divided by m(15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551*t - 655*t = -1352 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**2 - 3\/20*y**6 + 1\/3*y**5 + 0*y - 1\/336*y**8 + 0*y**3 + 21 - 1\/3*y**4 + 1\/30*y**7. Factor z(v).\nAnswer: -v*(v - 2)**3*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rillrlrrlll. What is prob of sequence ri?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p - 2*p + 6 + p**3 + 19*p**2 - 23*p**2. Let y(i) = 4*i**2 + 5. Let z be y(0). Let h be x(z). Solve -5*g + h = 5*t + 1, -g + 1 = 5*t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t + 2*t - 5*t. Let x(y) be the first derivative of y**5\/120 + 4*y**3\/3 + 3. Let a(r) be the third derivative of x(r). Determine d(a(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/10 - (-12)\/30. Let i be b + 53 + (-8)\/(-2). Calculate the highest common factor of 38 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42729593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - 5*n**2 - n. Let c be j(3). Let o be 4\/(-14) - 6\/c. Suppose o*w - w + 3 = 0. Put -1, w, -2 in descending order.\nAnswer: w, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 6:09 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.895141728 to 3 decimal places.\nAnswer: -3.895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 9*d + 10. Suppose 8*b + 10 = 9*b. Let p be y(b). Suppose p*n - 4*n + 1652 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 470 + -266. List the prime factors of f.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (12\/1)\/(15\/(-4960)*-1) - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 5 (c) -5 (d) 0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 47*u**4 - 55*u**4 - 68*u**4 + (-3*u**3 - 2*u**3 + 3*u**3)*(-u + 2 - 2).\nAnswer: -74*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 i, and 1 t when three letters picked without replacement from {t: 4, y: 1, s: 2, c: 2, i: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3 - 2892*z**2 - 394260*z + 4230800.\nAnswer: (z - 3022)*(z - 10)*(z + 140)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jflqqlqlfbqqflqq. What is prob of picking 1 f and 3 l?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 11:17 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 187 = -3*m - 1333, 5*w - 1922 = m. Suppose -4*f = f - w. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.2 - -7.38. Let k = -1.48 + z. Let u = 4.7 - 7.7. Which is the nearest to -10? (a) k (b) u (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 6. What is the units digit of (-2)\/4*c*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 + 0.3. Let j be ((-36)\/(-15) - 3) + 0. Let w be 6\/(-21) - 68\/(-42). What is the nearest to 0.2 in w, k, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77 and 6?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*c + 40 = c, 5*f - 100 = 5*c. What is the remainder when (32\/6)\/((-7)\/(-126)) is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65 * 650.714\nAnswer: 42296.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 424*t**2 - 6592*t + 113. Determine z(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (327\/6 + -4)\/((-1)\/(-2)). Suppose 0*x + j = x. Calculate the remainder when x is divided by 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10740 is divided by 2148?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -11*d**4\/12 - 11*d**3\/6 + 14*d**2. Differentiate b(i) wrt i.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 441078 by 1353.\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y**2 + 4*y. Let u(q) = -2*q**2 - q. Give 7*u(g) + 2*w(g).\nAnswer: -2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*x = 136*x - 40 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -7152?\nAnswer: 7151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 - 4.4. Let c = -4 - t. Let k = 1\/902 + -1807\/2706. What is the nearest to c in 1, -3, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, u: 1, q: 4, a: 9}. Give prob of picking 2 a and 2 e.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -62000 to the nearest 1000.\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7196364*k + 5*k**3 + 7196364*k.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330689 + 1414241 + 2531504 = 16*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3 - 9. Suppose 11 - 109 = o*y. Let m be (-14)\/y - (-4)\/14. What is the second biggest value in 2, m, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 9 = 3*w, 0 = -0*v - 4*v + 12. Let r(z) = -4*z + 6*z**w + 4*z. Let f(m) = -m**2 - 3*m**2 + 2*m**2. Give f(r(u)).\nAnswer: -72*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23 plus -4.6?\nAnswer: -4.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 129 + -285. What are the prime factors of (-4)\/(-3)*k\/(-8)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*l = 36*l + 36*l + 2*h + 70 + 46, 26 + 25 = -17*h for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 - 7*p**2 - 6*p**2 + 0*p**2 - 18*p**2.\nAnswer: -33*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 2550?\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 43*c**2 + 14*c - 14. Let x be v(-6). Round x to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (1 - (-3 + 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 16.000051. Round s to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2287, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112 + -115. Suppose 0 = -v - 3*v. Put q, -4, v in increasing order.\nAnswer: -4, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - 36. Let m = 3 - l. Suppose m*s + 36 = s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -70*l + 1333. Calculate b(18).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 553281 to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -765 < 190962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 254 - 66. Suppose 80 = -2*k + a. What is the highest common divisor of k and 378?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180839431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -56*m**2 + 7*m - 2027 wrt m.\nAnswer: -112*m + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4103114 (base 5) to base 6.\nAnswer: -1225414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9870907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/13 + 6906*r\/13 - 2463908\/13.\nAnswer: 2*(r - 326)*(r + 3779)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.4319301 weeks?\nAnswer: 261231.32448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 324, 406, 594, 942, 1504?\n\"Answer: 9*c**3 - c**2 + 22*c + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*r + 40*r + 440. Put r, 1, -2, -4 in descending order.\nAnswer: 1, -2, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 6. Let j be c(6). Suppose j = 3*w - 3*b - 2043, w - 5*b + 112 = 801. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -895, -5, 197 in increasing order.\nAnswer: -895, -7, -5, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + b - 2*b - 80 = -64, -4*v + 6*b - 8 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/5)\/(((-4860)\/81)\/(-1200))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 178 (base 11) in base 2?\nAnswer: 11001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/42 + (-98776)\/(-84)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 285119059?\nAnswer: 31, 9197389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10\/380*(-24)\/6\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**4 - 23*l**3 - 13*l**2 + 7*l = 0?\nAnswer: -7, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 12, 5*m + 0*m + w = 3101. Let p = m - -507. What is the remainder when p\/20 + (-2)\/5 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 5:46 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -39264, -39084, -38602, -37668, -36132, -33844?\n\"Answer: 25*b**3 + b**2 + 2*b - 39292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5268\/(-208) + 25 + (-7)\/4 + 2.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -0.5 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1000554160.\nAnswer: 2, 5, 41, 305047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + -3 + sqrt(325) + -1)**2.\nAnswer: -80*sqrt(13) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -4832.52?\nAnswer: -4832.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i*(i\/(i\/(i*i**(-2\/5)*i)))\/i*i*i)**(-4)\/(i*i*i**3\/i*i**(-6)) assuming i is positive.\nAnswer: i**(-102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7*u**2 + 13*u - 7. Let b(g) = -2*g**2 + 3*g - 2. Give 9*b(o) - 2*q(o).\nAnswer: -4*o**2 + o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 + -2*(-1)\/(-1). Let b be 3\/(-9) - 4\/s. Let q be b*(2 - 2 - -1). Is 0 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 1201.4439?\nAnswer: 1204.4439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - a - 8, 0 = z + 4*a + 3 - 5. Let m be 20\/(-72) + 1\/z. What is the third smallest value in 3\/2, m, -1\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30951 + -5956. List the prime factors of g.\nAnswer: 5, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1275*d + 7438*d = 138200 - 58575 - 680822 for d.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -11*j. Let v be q(-1). Suppose 4*f - v - 7 = -2*t, -3*t + 11 = 2*f. Determine m so that 1\/2*m**3 - 1\/4*m**f + 0*m**2 - 1\/2*m + 1\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z - 4 - 13 + z**2 + 0*z**2 + 2. Let g be m(2). Which is the second smallest value? (a) 3 (b) -5\/2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1084 - 410. Does 15 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 10*o**2 - 2*o - 4. Let l be n(-4). Suppose -3*t + l = -133. Suppose 260 = 7*k + 183. What is the highest common divisor of t and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.007? (a) -5 (b) -9.4 (c) -0.6 (d) 1\/4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + m - 1. Let c(i) = 803212*i**2 - 5 - 401604*i**2 + 3*i - 401610*i**2. Calculate c(z) - 3*g(z).\nAnswer: z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 3*g**2 - 48 = 0.\nAnswer: -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6390, 6414, 6438, 6462?\n\"Answer: 24*n + 6366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 - -8e4c?\nAnswer: 8e3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 180.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61185*j*q*w**3*x**2 + 2*j*q*w**3 - 9*j*q*w*x + 3*j*x + 10*q**3*w**3*x - 72*q**3*w*x + 91*q**3*x**2 wrt x.\nAnswer: 122370*j*q*w**3 + 182*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3*(70 - 1050896\/15015)*39.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270020.\nAnswer: 2, 5, 23, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 5*f + 8 + 7 = 0, 6 = 4*n - 2*f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 + 21 = -3*f - 4*y, -5*f + 24 = 2*y. Solve 0 = f*c - 0*c - 4*k, 0 = 3*c + k for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1530 and 95166?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -17. Suppose n + v*c = -17, n = 3*n - c - 2. Let h be 2\/(-4)*0\/n. Which is bigger: h or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1802 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -363\/116 - 7\/58. Let k = 125\/36 + w. What is the third smallest value in -1, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1470 and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -4 (c) 0.3 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 370180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 12 = 0, 2*s + 7*x - 3*x = -16. Let t(h) = -h + 13. Let y be t(s). Factor 32*n**3 + 56*n**2 + y*n + 7*n + 4 + 9*n - n.\nAnswer: 4*(n + 1)*(2*n + 1)*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 (base 6) in base 15?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -242 + 971\/4. Find g such that -1\/4*g**4 - 1\/2*g**2 + 0*g + a*g**3 + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -79?\nAnswer: -31.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 163 - 697. Let f = -220 - j. Does 22 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -14, 0.08, 2\/5, -11\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfhkffcggff. Give prob of sequence hk.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -22, 278, 2177, 1 in decreasing order.\nAnswer: 2177, 278, 4, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -241*r**5\/60 + r**4\/24 + 9451*r**3\/6 + r**2 + 1411*r - 2. Differentiate y(b) wrt b.\nAnswer: -482*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (-26 - -13)) + 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37275569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j**2 + 0*j + 14 + 2\/3*j**3. What is s(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 8*w**2 - w - 7. Let q be p(-8). Let n be q + (1 - 1) + 2. Let h = -0.4 + 0.5. Which is smaller: h or n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -1, 2, 0.07 in descending order.\nAnswer: 27, 2, 0.07, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.58 (b) -0.1 (c) -0.351 (d) 2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, l: 1, t: 2, e: 3}. Give prob of picking 1 l and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/6, -62\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i\/(i*(i*i*i**(2\/13)*i)\/i)*i)))\/(i\/(i*i**(9\/5))*i))\/((i\/(i*i*i**(5\/7)))\/(i**(-1\/8)\/i)) assuming i is positive.\nAnswer: i**(857\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2008 + 1.0008. What is the second smallest value in r, -0.4, -5, -11\/9, -2\/7?\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + v - 97 = 0, -4*b + 88 + 21 = -3*v. Let y = -5 + b. Calculate the remainder when y is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-4 + 4))*(-19 - 69564\/(-3663)).\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10116 and 11952.\nAnswer: 3358512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l. Let d(p) = -4479*p**2. Calculate j(d(u)).\nAnswer: -4479*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -19937*j + 119658. Determine f(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3*c**(-1)*(c**(-3)*c)\/(c**(-2)\/c))\/(((c\/(c*c**(-2\/7))*c)\/((c\/c**(-4))\/c))\/(c**(-2\/9)*c**(-1\/2))) assuming c is positive.\nAnswer: c**(629\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-399)\/(-9))\/((-6)\/(-18)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**3 + 2*v**2 + v - 3. Let f be g(1). Suppose -21 = -f*p - 15. Solve 0*q - 17 = r + 4*q, -24 = p*r + 3*q for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 265*u - 262. Let x be f(1). Let h = -7 + 6.7. Put -9, h, x in descending order.\nAnswer: x, h, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1538\/35 - 44. What is the biggest value in q, -4, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, z: 4, e: 1, m: 5, n: 1}. Give prob of sequence je.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -0.2 (b) -5\/4 (c) -4 (d) 6534\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8944 and 44720?\nAnswer: 44720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1905 = 48*c - 45*c. Suppose 0 = -6*v + c + 2275. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/249 and -29\/42?\nAnswer: 3486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 2*y**2 - y - 4. Let u be n(3). Suppose 4*h - 4 = 2*x, 4*h - 5*x + u = -0. Suppose -t = -2*t + h. What is the least common multiple of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 - 69 = -5*l. Suppose 0*j + l = 5*j. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3830 and 337470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*q - 3037 + 652. Solve 0 = -48*h - 51 - q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465*c - 1348*c + 435*c + 492*c + 1.\nAnswer: 44*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -106?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10847.861 + -10832. What is m rounded to 1 dp?\nAnswer: 15.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 17\/4?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/13 - 11614*t\/13 - 5111196\/13.\nAnswer: 2*(t - 6218)*(t + 411)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3444461 and -0.114?\nAnswer: -392668.554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/(-20) - 1\/(-2). Let f(j) = -12 + y*j + 16 - 13*j. Is 20 a factor of f(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8\/3 + -82\/33. Let t = 18 + -17.3. Let o = 1 - t. Which is the smallest value? (a) h (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*k**2 + 3*k**2 - 4*k**2)*(2*k + 10 - 27 + 1).\nAnswer: -8*k**3 + 64*k**2 - 4*k + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(-12)*(-4896)\/1020. Factor 0*a - 3\/4*a**j + 1\/4*a**3 + 0.\nAnswer: a**2*(a - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/56, -1\/4, 5\/2564?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20760307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j**2 - 3*j - 25. Let b be x(-10). Suppose b = 4*g - 5*q, -g + q + 751 = 4*g. Let h = g - -80. Calculate the greatest common factor of 92 and h.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 735235 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 0.7 (c) -175.5 (d) 0.2 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -11*x**2 + 709*x - 313. What is n(64)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -582, -211, 414, 1293, 2426?\nAnswer: 3813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417*r + 16552 = -1043*r - 1478*r + 222212 for r.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3933, -3929, -3923, -3915, -3905, -3893, -3879?\nAnswer: -3863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66129885 is divided by 35.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6\/263 + -592\/2893. What is the nearest to 0.1 in -3\/7, h, 1\/199?\nAnswer: 1\/199","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47.75 + -48. Let r = 0.128 + m. Round r to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 4:02 AM?\nAnswer: 1:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*-19.\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 58\/(-18) + (-2)\/(-9). Sort 5, -5, t in decreasing order.\nAnswer: 5, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21529, -21522, -21515, -21508, -21501?\n\"Answer: 7*k - 21536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 9371 + 9843 = 0. Round k to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 594534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by (3 + -2)\/((-1)\/(-8)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y - 1. Let c be r(3). Let o be 0\/(2\/(c - 3)). Solve -3*u + o*u - 6 = -5*q, -2*u = 4*q + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3568421 is divided by 175.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6*186\/(-248)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*y - 4*z - 50 = 43*y, -5*y + 4*z + 35 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 9 + 3. Suppose j*x = 7*x. Let g be ((-306)\/132*(-5)\/3 - 4) + 0. Which is smaller: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 564 a factor of 2084404692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26859818 is divided by 839369.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 104805.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 4:16 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = v + 5*x, 3*v + 24 - 15 = 3*x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 0*g - 2*g - 18, -11 = -3*v + g. Let q(a) = -a**2 - 3*a. Let z(d) = -40*d + 73*d - 34*d. Calculate v*q(i) - 12*z(i).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 75043.13 millilitres?\nAnswer: 75.04313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 12:01 PM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-3)*(-22)\/(-110). What is the closest to f in 2, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 1)*(1008 + 2*i - 2149 + 741) to p + y*i and give p.\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**3 - h + 3*h - 8*h**3 + 5*h + 6*h.\nAnswer: -8*h**3 + 13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/9 + 2260*c\/9 + 61712\/9.\nAnswer: 2*(c + 28)*(c + 1102)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from taaat. Give prob of sequence aaa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 4*r - 3. Suppose 6*t - 5 = 25. Determine s(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 664, 1333, 2002?\n\"Answer: 669*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13442 by 611.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157559?\nAnswer: 157559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (40\/(-168) - 16\/(-28))*465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (13 + -15)*(-12)\/(-3 + 5). Let o be ((-18)\/15)\/(1\/(-10)). Is d at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19722 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69\/(-36) - -2) + 16\/(-48).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1944 is divided by 626?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 144\/(-20)*7560\/(-336). Calculate the highest common divisor of y and 7902.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 10:52 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 - 652*t**2 + 649*t - 1637. What is b(-327)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**18*q**(-23)*q)**(-14\/9) assuming q is positive.\nAnswer: q**(532\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(88) - (sqrt(88) - 2*sqrt(88))) - sqrt(88))\/sqrt(8) + -3.\nAnswer: -11*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b + 42*b**2 - 19*b**2 + 1265*b**4 + 2 - 1180*b**4 - 25*b**2 as q*b + k*b**4 + u*b**2 + n + y*b**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 0.02, -1\/4, -1, -1\/7, 4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -381 + 783. Suppose -4*i + 2*i = 2*q - t, -2*q - i = -400. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51725527 is divided by 92367.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 - (-4 + -1 + 5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*190\/(-2)*(-419)\/226260*108\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.78562759 to one decimal place.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -36*v**2. Let n(t) be the first derivative of 2*t**3\/3 + 11. Calculate n(c(m)).\nAnswer: 2592*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 5\/4*s**3 + 9\/8*s - 3\/8*s**4 - 7\/4*s**2 + 119 + 1\/40*s**5. Let w(l) = 0. What is l?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2069, 4136, 6203?\n\"Answer: 2067*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 109 and 9.\nAnswer: 981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005579863866 to 7 decimal places.\nAnswer: -0.0055799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 + 73. Let z(w) = 4*w - 4*w**2 + 2*w + w**t - 615 + 610. Let o be z(3). Calculate the highest common divisor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24\/11? (a) 3 (b) -0.2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*v**2 - 6*v**4 + 13*v**2 + 3 + 12*v + 4*v**4 - 10*v - v**4 + 10*v + (-1 + 0 + 2)*(2*v**4 - 3*v**4 - v**4).\nAnswer: -5*v**4 + v**2 + 12*v + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8217, -8216, -8215, -8214?\n\"Answer: x - 8218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 119 = -15*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9859?\nAnswer: 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -480 divided by 5\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3\/2 - 473*i**2\/2 - 28084*i - 27848 = 0. Calculate i.\nAnswer: -236, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 52140976 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 14. Suppose 0 = -v*m - 2 + 5. Solve i + 0*i = -m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-243)\/81)\/((-27)\/(-20))*(-9)\/(-15)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 8 = 3*j - 2, 3*j + 2*a - 17 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5 = -1. Suppose s*f - 47 = 91. Calculate the remainder when f is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**4 + 0*i**2 - 5*i + 10 + i**2 - 8 - 4 to the form k*i**2 + h + l*i**3 + g*i**4 + n*i and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*m + 10*m + 5*u + 2715, -m - 4*u + 705 = 0. What are the prime factors of m?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 7:55 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 8562823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21.7 in -1, 12, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 213*i**2 + 128*i - 1508. List the prime factors of k(17).\nAnswer: 5, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*k - 114 = -2, k = 10*a - 436. Solve 0 = d + a - 39 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37076630.\nAnswer: 2, 5, 3707663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - (2 - 0))*-1. Suppose -5*a - 35 = -165. Solve -j*k + 2*g = -2, 5*k + 4*g = -0*g + a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/32)\/(4\/16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 230449 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 12:56 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pox when three letters picked without replacement from xypopoxpppp?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*(-3 + 2*((sqrt(475) - (sqrt(475) + 2)) + sqrt(475)) + -5*(1 + sqrt(475))*2)**2.\nAnswer: -61378 - 2720*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.083 - -2.083. Let d = -383\/6 + 913\/6. Let l = d + -87. What is the fourth smallest value in p, 0, l, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 23. Let s be r(0). Let u = s + 25. Factor 6 + 2\/3*x**u + 4*x.\nAnswer: 2*(x + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence att when three letters picked without replacement from {t: 2, m: 5, a: 7, s: 4}?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 152293244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 12:13 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -525141 by 9213.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3106, -6212, -9318, -12424?\n\"Answer: -3106*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - 25.\nAnswer: (a - 5)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 7*t**2 + 11*t - 9. Let c be b(-8). Round c to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6541920 and 49632.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1719528 <= -1719529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-2)*(2 + 0). Let o be 2*-1*d\/(-4). Suppose 4*f = f - 3. Put -3, f, o in descending order.\nAnswer: o, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5333 * -1.\nAnswer: 5333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -32*y**3 + 3*y**2 + 1 + 4*y**3 - y**2 - 3*y**2. Let l be m(-1). What is the tens digit of 400\/l - (-2)\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -310, -692, -1226, -1912, -2750, -3740?\nAnswer: -4882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/114 and -26\/3.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*h**3\/4 - 12473*h**2\/3 + 15927*h\/4 + 503\/3 = 0. Calculate h.\nAnswer: -4\/99, 1, 503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2954633, 2954551, 2954469?\nAnswer: 2954387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9939693613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/904 and 11210\/472*(-2)\/(-10)?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1380450823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 0.3 (c) -1317\/4 (d) 10.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1614067 (base 8) to base 5\nAnswer: 104334301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 23*i**2 - 21*i + 25. Let f be a(-22). Solve -5*y + 3*c = c + 6, -y = f*c - 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 5*f + 43. Suppose -n + 28 = -11. Let c = f - n. Let k(t) = -t**3 + 4*t**2 - 5. Determine k(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 + 0.7. Let l be (-9)\/(-4) + (-33)\/44. Which is the nearest to -2\/3? (a) 2\/9 (b) i (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.5 - -4. Let m = -8.6 - -8. Let y = n + m. What is the third smallest value in -5, y, -0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + h. Let g(t) = t**3 - 6*t**2 - 2. Let k be g(6). What is o(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3592 is divided by 547?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 5*q + 6. Let y be i(-5). Let o(g) = -8*g**2 + 8*g - 2. Let f be o(y). Let h = f - -842. Round h to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -461242 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {q: 5, u: 4, i: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/((-4)\/1 + (-630)\/(-162)). What is the greatest common divisor of 45 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178496 is divided by 423.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + a + 5 = 0, 5*u - 4*a + 4 = 3*u. Put -12, u, -5 in decreasing order.\nAnswer: u, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*z - 20. Suppose -21 = -z*i - 5. Calculate the smallest common multiple of (1 - -5) + 0 - 1 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2591200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(71\/(1207\/102)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20009 by -6.\nAnswer: -20009\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9152896 (base 10) to base 11\nAnswer: -5191785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 924816.9 rounded to the nearest 100?\nAnswer: 924800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 3. Let m(g) be the first derivative of -3*g**2\/2 + 8*g + 1. Suppose 23 = 5*d - 3*c, -143*d + 144*d - 5*c = 9. Calculate d*m(i) + 11*f(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (552\/60 - 7)*-5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 26.1705 years?\nAnswer: 0.261705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 57589907?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.5*-65.\nAnswer: 682.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6974592 kilograms in tonnes?\nAnswer: 0.0006974592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 16259.\nAnswer: 16259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -16 (b) -2 (c) -5 (d) 39.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 + 994*r\/3 + 149891\/3.\nAnswer: -(r - 1127)*(r + 133)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is -6 <= 10093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 - -0.2. Let k = -356.1 - -356. Which is the nearest to h? (a) k (b) 1\/3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 8*f**2 - 3*f - 6. Give d(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*p**3 + 4*p**2 + 7\/2 - 29\/4*p.\nAnswer: -(p - 14)*(p - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 10:25 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/6*-3*(-20 + (-4896)\/(-216))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 0.1149.\nAnswer: -0.3851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169948 - 177875 = 9373*x + 582572 for x.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -48 + 50. Suppose 2*c = 10 - w. What is the highest common factor of 2 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8\/3 in 3, 5, 0.5, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 499.528 minutes?\nAnswer: 29971680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 u when two letters picked without replacement from {u: 1, o: 1, y: 1, b: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (54 + 0 - -2) + 1. Let o be 18\/(1*(-4)\/8). Let s be 0 - (o - (0 + 2)). What is the highest common factor of s and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1836\/(-170) - (2 + 0 + 14\/(-5))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -1\/25*a**6 - 1\/350*a**7 - 241*a**2 - 7\/100*a**5 + 0*a**3 + 0*a + 0 + 0*a**4. Factor b(h).\nAnswer: -3*h**2*(h + 1)*(h + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210540 and 17545.\nAnswer: 210540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 684 = -574. Suppose -733 = -5*b + 1782. Calculate the remainder when b is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1494118547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 12*z**2 + 13*z + 9. Let g = 18 - -7. What is the remainder when g is divided by n(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 10*b**3 + 89*b**2 - 500*b + 432. Determine l(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 943005015.\nAnswer: 3, 5, 20955667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -310061 + 310167.0698. Let o = 178.0629 - k. Let s = 72 - o. Round s to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, p: 4, k: 1}. Give prob of sequence pupp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 404040 by 5.\nAnswer: 80808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11456 + 11453. Sort -11\/7, 5, 0, k in descending order.\nAnswer: 5, 0, -11\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 448, 564, 798, 1210, 1860, 2808, 4114?\nAnswer: 5838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 4*l**2 + 3*l. Suppose -441 = -441*o - 1060*o + 17571. Calculate the least common multiple of o and p(6).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 5 (c) 4 (d) -0.059 (e) -2.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 3*u - 51 = 0, 5*h + 36 = -30544*u + 30497*u for h.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d**3 + 10*d**2 + 2*d - 12. Calculate h(-4).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iciiicccic. What is prob of picking 4 c?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 plus -19861307?\nAnswer: -19861307.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114\/19*2\/(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 37224.392?\nAnswer: 37214.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2620 divided by 655\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqc when three letters picked without replacement from {e: 2, i: 1, q: 3, c: 4, t: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 10*w**2 + 56*w + 169. Give c(-3).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + t - 2. Let l(h) = -5*h + 11. Let r be l(2). Let u(i) = 19*i**2 - 8*i + 11. Let w(v) = r*u(v) + 6*f(v). What is w(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1006.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-50))\/(-1)*(595\/51)\/(-35).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54470376.\nAnswer: 2, 3, 756533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -69417*p + 152028*p - 65157*p in the form n*p + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*h + 51*h - 10 = 20*h. Suppose k + 3*k - 94 = 2*d, 4*k - 247 = 5*d. Let b be 8\/12 - (-28)\/d. What is the second biggest value in b, -5, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68786850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 198 + 218 - 416 + 2142*v to i*v + o and give i.\nAnswer: 2142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 6*c**2 - 3*c - 5. Let s be b(-6). Let j be (4 + 2)\/((-2)\/s). Find the common denominator of 151\/12 and 4\/((-72)\/j) + -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 959355 and 315.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*j + l, -4*j - 5*l = -2*l - 23. Suppose 4*m - j = 8. Suppose -5*b + 4*p - 2 = 2*p, 1 = m*b + p. Solve o - 5*o = b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-6))\/2*-24. Let s be 5\/(-20) + 6\/n. Determine j so that s - 3\/4*j + 1\/4*j**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1535 to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 2910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - s**2 - s - 49. Let y be g(0). Is 3\/(-1)*y\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59 + 60. Let w be 2\/(-8) - 91\/20. Let y = -398\/85 - w. What is the closest to 1 in y, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*a**3*v + 26566*a**2*v + 18*a**2 + 5535728*a - 5*v wrt a?\nAnswer: -42*a*v + 53132*v + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 4:26 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 131*a**2 - 1. Let r be l(-1). Let g = r + -127. Solve 5*c - 45 = -0*t + 5*t, -3*c = 3*t + g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**2 + 7*t - 1. Let i be k(-5). Let g be 78*(-20)\/(-56)*7. What is the greatest common divisor of i and g?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 165?\nAnswer: -7\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 147 + -171. Is n > -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22943581*c*i**2 - 2*c*i - 10*c - 4*i - 32261 wrt i.\nAnswer: -45887162*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + 41 + 1 + 0. Let a = 46 - v. Solve p - 4*d = -3, 5*p + a*d - 2 = 3*d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - a - 1. Let m(r) = 17*r**2 + r + 14. Determine -3*f(h) - m(h).\nAnswer: -14*h**2 + 2*h - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*t - 2, -2*b + 3*t - 3 = -7. Let g(a) = -a**3 - 8*a**2 - 6*a + 10. Let u be g(-7). Suppose -p + u = -0. Solve b*i = p*i + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9049.71nm?\nAnswer: 9.04971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 333, 567, 805, 1047?\nAnswer: 1293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8 + (-3)\/(90\/(-236)). Sort j, 0.11, 1, -1 in descending order.\nAnswer: 1, 0.11, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162 by -54.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -815, -1638, -2459, -3272, -4071, -4850, -5603?\n\"Answer: x**3 - 5*x**2 - 815*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.08, -20, 1, 1\/5, 0.08, -1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**4\/10 - 2071*j**3\/10 + 462969*j**2\/5 + 15666640*j - 31702000 = 0?\nAnswer: -131, 2, 1100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 5:39 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9639712.\nAnswer: 2, 301241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4241*c + 3932*c = 28688 + 200156 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17713 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (253 - 268 - (1 + -3 + -12)) + -21\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -22. Solve f*a - 16 = -4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43691870 divided by -5977.\nAnswer: 7310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o + 2170 = 3*t + 19*o, o + 726 = t. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3689\/18 + 1942\/9. Are 12 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -104?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 799.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - y + 10 - 31 = 0, 0 = -2*t + 5*y + 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 349883271?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express u + u + 0*u + (2*u - 2*u - 2*u)*(2 + 1 - 4) - 2*u + 2*u + 2*u - 462*u - 2*u + 482*u + 643 as k + p*u and give k.\nAnswer: 643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -5*b + 74*n - 79*n, -3*b = -7*n + 4 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 22.0381. Let u = f - 38.3381. Let s = u + 38. Which is the third biggest value? (a) -0.5 (b) s (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 112891195?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684 is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 158144 and 36.\nAnswer: 1423296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -3\/16, -6, 76, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.805 - -0.885. Sort 1\/12, 0.5, o, -0.5.\nAnswer: -0.5, o, 1\/12, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 94*(12 - (-225)\/(-18)). Suppose 5*z + 3*d = 442, 0*z + d = -2*z + 176. Let l = g + z. Calculate the greatest common divisor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388070?\nAnswer: 2, 5, 151, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**4\/4 - 4*i**3 - 11*i**2\/2 - 23*i - 79. Let j be p(13). Does 5\/2 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - 27. Let r be 3 + ((-2)\/(-2) - 13). Let d(y) = y**2 + 9*y. Let j be d(r). Put b, j, 1 in descending order.\nAnswer: 1, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**8\/(l*l*l**(-2\/9))*(l**(-7))**(-8\/7) assuming l is positive.\nAnswer: l**(128\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-2))\/((-12)\/(-64)). Suppose 0 = 5*f - 0*f - 60. Let m = f - y. What is the nearest to 0.1 in m, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 117*b**2 + 3*b + 32. Let i(a) = a**2 + 2. Let c(p) = 6*i(p) - r(p). Find the first derivative of c(h) wrt h.\nAnswer: -222*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6104 (base 10) in base 3?\nAnswer: -22101002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21725863272833 take away 5?\nAnswer: -21725863272838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence muu when three letters picked without replacement from uummuumu?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v**3 - v**2 - 1. Let a(q) = q**2 + 1. Let j(m) = -a(m) - w(m). Let f be j(1). Suppose 11 - 1 = 2*s + 2*r, 4*r + f = 0. Which is smaller: s or 7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -70*t**4 + 189048*t**3 - 1261088*t**2 + 797472*t - 129312 = 0. Calculate t.\nAnswer: 2\/7, 2\/5, 6, 2694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -639.328 rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 46 = 5*i. Suppose 4*w + 5*a - i = 0, w - 5*a + 12 = -1. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48*48\/1024*2*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16406388?\nAnswer: 2, 3, 16879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.9 - -4. Let r = -32 + 32.3. What is the closest to -1\/6 in -4, r, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-12)*(-18)\/111. Let s = 23.586 - 0.186. Let k = s + -23.4. Is j > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 times -4?\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 185.9 rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnlnnnnnlnn. What is prob of picking 4 n?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 953687227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1080740 times -2.2?\nAnswer: 2377628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -28. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -14*z**2 - z. Let w(x) = -346*x - 10. Calculate d(w(g)).\nAnswer: -1676024*g**2 - 96534*g - 1390","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8c (base 14) to base 16.\nAnswer: -7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -3. Let s = 8 + y. Let d = 9 + s. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7\/(70\/(-12)))\/(2\/(-15)). Suppose 8*h = b*h. Suppose 0 = -z + 5 + 10. Solve -4*j + 7 + 9 = h, t + 5*j - z = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - 4*h + 4*h + (-6 + 1 + 4)*(-4*h - h + 3*h) + 7 - 2*h - 7.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*d - 0*d. Suppose 0 = 5*w - 2*t - 300, w + 2*t - 42 = 18. What is the greatest common divisor of w and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 115 + -118. Let g be 14 + ((-1)\/d - 17\/(-3)). Let a(o) = -6*o**3 + o**2 - 3*o. Let m be a(-3). What is the highest common divisor of g and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d = -5*z - 0*z + 96, -d + 4*d - 5*z + 2100 = 1968 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 844705 a multiple of 241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 816 divide 176582400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p**2 - 2*p + 10. Suppose 2*d + 0*d + 20 = 0. Let v be q(d). Let g = v - 277. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*m + 16, -2*i + m = 2*m - 10. Suppose -2*n + n + 1 = 0. Let a be -3 + 4 + -1 + (n - -2). Calculate the greatest common divisor of i and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -2 + 3*f + 2*f**2 - 3*f. Let w(d) = -d**2 - 3. Let v(c) = 8*c**2 + 18. Let x(h) = v(h) + 6*w(h). What is z(x(b))?\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -21*o**2 - o - 9. Let m(g) = -17*g**2 - g - 8. Let y(r) = -4*m(r) + 3*s(r). Let c(d) = -4*d**2 - d - 4. What is -4*c(z) - 3*y(z)?\nAnswer: z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25415 or -25101?\nAnswer: -25415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -49273437*x**3 + 47969777?\nAnswer: -147820311*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*y - 209 = 11, 2*y - 456 = -4*a. What is the remainder when a is divided by 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -3543, -4, -38 in ascending order.\nAnswer: -3543, -38, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.502, 4, 3, 1\/4, -0.7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 12 = -2*l, 3*l = 2*r + r + 9. Let h(m) = -m**2 + 8*m - 13. Let g be h(l). Suppose 4*f - 2*n - 2*n = 1276, -g*n - 6 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 0.12 (c) -11 (d) 1.5 (e) 4 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 86.68721 millilitres?\nAnswer: 0.08668721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 1\/2 (c) -958 (d) 1 (e) -21 (f) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10115 and 17.\nAnswer: -10098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6815506 rounded to two dps?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3254*a = -3235*a + 190 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6966254 is divided by 1420?\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 2*l + 24 = 0. Is (-6)\/l + (-3230)\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttttttwtwtttttt. What is prob of picking 1 w and 1 t?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2859593703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 376821011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20413854*m**2 - 7113630*m?\nAnswer: -40827708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4787, 5792, 6797, 7802, 8807, 9812?\n\"Answer: 1005*w + 3782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458142 is divided by 249?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -16, 2*c + 6*a - 4350 = 2*a. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1136342 divided by 20.\nAnswer: -568171\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -6, -0.4, -0.729?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18491*v**2 - 6*v**3 + 18491*v**2.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2156819.\nAnswer: 7, 308117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*n = -12. Suppose 0 = -4*o + 8, 0*o + 7 = n*y - o. Solve -k = -y*w - 13, -w = 4*k + w - 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + p = -0*t - 11, 4*p = -8. Let b = t - 0. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u + 4*u + 8671 - 8670.\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - -116. Let c = n - 139. Solve -c*v = -5*r + 14, 2 = 5*v - 4*r + 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.4 in 1\/818, -11.2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32844 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of ((-1512)\/(-24))\/(-9) + (705 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-6)*(-36)\/(-8). Let y be ((-8)\/w)\/(20\/(-30)). Solve y*o = 4*o - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 + 67*m + 68*m - 200*m + 65*m.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 34.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 57 = 8*w, 4*v = -w + 95 - 42. Let u = 216 + -125. Calculate the lowest common multiple of u and v.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/48*15\/1. Suppose -2*w = -4, -h*u + 8 + 34 = w. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*(-9)\/((-405)\/45).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8\/9 (b) 1\/11 (c) 0.2 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5.3146 from -91.\nAnswer: -85.6854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.88172 + 72.88787. Let c = -69 + q. Round c to four dps.\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 250 + -246. Solve -n*g - 20 = 0, -y + 5*g + 21 = 3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9039 - 171681\/19. Is 4 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2650*s**3 - 362 + 404*s**2 + 964*s**3 - 404*s**2 + 2220 wrt s?\nAnswer: -5058*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7576 + 7328 = 136*j + 3480. Calculate the greatest common divisor of j and 616.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, q: 2, r: 1, k: 1}. What is prob of sequence qq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22804208 is divided by 426.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*v + 4 = 0. Solve 0 = v*j - 0*b - 4*b, 25 = -5*b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 times -0.036?\nAnswer: -0.0648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -282, -198, -90, 42?\n\"Answer: 12*k**2 + 48*k - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -9*c - 64. Let i be x(-12). Calculate the greatest common factor of 484 and i.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = x, -5*x = -9*x - 4*t + 8. Solve x = -6*c + 7*c + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23994 = 50*t - 19*t. List the prime factors of t.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1441458 and 10970?\nAnswer: 7207290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 347620\/105 - (-8)\/6. Suppose 54*f - d = 50*f. What is the greatest common factor of 18 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 448 and 0.63116012.\nAnswer: 448.63116012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6161\/12323 - -1\/24646. Which is the biggest value? (a) 3\/2 (b) -5 (c) u (d) -85 (e) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202370252 a multiple of 523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*q - 57, 0 = -m - 2*m - 4*q + 58. Suppose 58 = 2*b + 2*p, -b + 4*p = 3*p - 39. What is the remainder when b is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**5\/180 - 5*c**4\/72 + c**3\/3 + 27*c**2. Factor u(x).\nAnswer: (x - 3)*(x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 159\/4 + -40. Let s be (-30)\/(-5)*1\/(-1). Let b = -11 - s. What is the nearest to n in b, -1\/3, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -100 - 620121123?\nAnswer: -620121223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x. Let a(s) = s - 6. Let c be a(6). Suppose 4*j + j = c. Let m(u) = -2*u + 0*u + j*u + 3*u. What is f(m(r))?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 30, 40, 44, 42, 34?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 6, 0 = 5*k + 3*o - 2 + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 - 26*f - 10. Give m(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26684 is divided by 8855.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*b - b**2 - 58*b - 11 + 64 to the form f*b**2 + n + u*b and give n.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 61, 93?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 0.0304, 4, 5, -3, -5\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-2 + 0 - -1 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -254093 (c) -0.3 (d) -12 (e) -4\/7 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 26 = 4*u. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 1708*c - 177. Let d(r) = -1707*r + 141. What is 5*d(o) + 4*s(o)?\nAnswer: -1703*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.3*-327509.\nAnswer: 1408288.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 8707368 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 12. Let s be (-3)\/(0 + 3\/h). Let x = -22 + 25. Solve -k + 4*i - s + 0 = 0, k - x*i = -6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*2\/(-8)*8\/(-6)*624\/(-22880)\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n + 8. Let y be o(-2). Suppose h + 7 = -2*q - 1, -4*h - 4*q = y. Suppose c + 0 - 3 = 0. Sort 21, h, c, 1 in decreasing order.\nAnswer: 21, c, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 - 68. Suppose -3530 = -m*o + 2158. Let g = -10445\/11 + o. What is the common denominator of 22\/7 and g?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21782 (base 9) to base 6.\nAnswer: -151032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1736889.185 to the nearest 100.\nAnswer: 1736900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -278.\nAnswer: 1\/278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-462) - 0)*(-33)\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 245 + -233. Suppose 0 = 8*b - y*b - 223600. Round b to the nearest one thousand.\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*d**4 + 162048*d**3 + d**2 + 16*d - 4734 wrt d?\nAnswer: 528*d + 972288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6100 is divided by 2768?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 102\/(479196\/(-81))*12\nAnswer: -6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, n: 4, t: 4, c: 9, l: 1}. Give prob of picking 1 t and 1 l.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.3 - -2. Let p = 0.65 - 0.45. Which is the second biggest value? (a) 2 (b) p (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -179*f**4*y + 3078*f**2*y**3 - f*y**3 - 32*f*y - 15*y - 165 wrt f.\nAnswer: -2148*f**2*y + 6156*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z + 5. Let x be p(-5). Let w be (1 - 2 - -3) + 0. Suppose -3*l + w*b - 1 = -2*b, -5*b = -4*l. Calculate the greatest common divisor of l and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymfmwuu. Give prob of picking 1 m and 1 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 347875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 3565561?\nAnswer: 3565553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39502777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1861, -7, -2\/21, 1\/2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 280 = b. Suppose -y + 410 = 4*y. Let u = y + b. Is u a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1086\/7 + 154. Which is smaller: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h - 6*h + 11*h - 5*h - 34. Let k be r(18). Suppose -62 = -c + 5*s - 7, -5*c - k*s = -221. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(15)\/(sqrt(10)\/sqrt(2)))**2 + 5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3385, 3375, 3359, 3337, 3309, 3275, 3235?\n\"Answer: -3*k**2 - k + 3389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2200001121021 (base 3) to base 16.\nAnswer: 15a468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/19)\/a*a)\/a*a)\/(a*a\/(a**8*a)) assuming a is positive.\nAnswer: a**(130\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g + 2*g - 0*g + 4*a - 156, -3*g - 4*a + 1767 - 1587 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*o - 2392 - 3782 = -75*o. What is the highest common divisor of o and 861?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11 and 2.2089.\nAnswer: 13.2089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/540 and 49\/849690.\nAnswer: 1699380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4045 + -4043. Let o(y) be the first derivative of 0*y + 0*y**4 + 0*y**5 + 0*y**i - 42 + 41\/3*y**3 + 6*y**6. What is the third derivative of o(r) wrt r?\nAnswer: 2160*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -4*h**3\/9 - 32*h**2\/9 - 4*h\/9 + 56\/3 = 0.\nAnswer: -7, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3984433622.\nAnswer: 2, 13, 541, 283267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11232 - -11258. Let v(x) be the third derivative of -7\/3*x**3 + 0*x + 0 + 1\/24*x**4 + h*x**2. What is v(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**4\/13 + 4012*h**3\/13 - 2012018*h**2\/13 = 0.\nAnswer: 0, 1003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7200) - 1*sqrt(7200)*-6) + 4*(sqrt(7200) + -1*sqrt(7200)))\/((sqrt(70) - 3*sqrt(70)*-2)\/(sqrt(847)*2)).\nAnswer: 264*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 49.91481 years?\nAnswer: 598.97772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43\/4 - -11. Let y = 597 - 14923\/25. Sort -2, y, h in decreasing order.\nAnswer: h, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4933428?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3860*-7\nAnswer: 27020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -33. Let y(k) be the first derivative of k**4\/4 + 7*k**3\/3 + 5*k**2\/2 + 2*k - 1. List the prime factors of y(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 62\/7 of a week?\nAnswer: 89280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 945, -3, -5, -0.2 in descending order.\nAnswer: 945, -0.2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 12:55 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 + 7*k - 2. Let u(j) = -13*j**2 - 29*j + 9. Let d(b) = 9*i(b) + 2*u(b). Let m be d(-4). Let o be (-1 - -2)\/(m\/(-56)). Solve 4*v - o = -6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2848032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 12\/920077?\nAnswer: 12\/920077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 + 84. Let j = -25 - -12. Let c = j + i. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**2 - 4036*g + 958056 = 0. What is g?\nAnswer: 382, 627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wsstsbbtsbttatb. Give prob of sequence tbw.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (101\/(-202))\/((-3)\/96). Which is greater: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 2*r**2 + 56*r - 54. Calculate n(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**7\/21 + 2*r**6\/15 - r**5\/10 - 10*r + 5. Let f(w) be the first derivative of o(w). Determine n, given that f(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r. Let g(c) be the second derivative of 66*c**3 - 140*c. What is a(g(b))?\nAnswer: 792*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -254 or -0.7594?\nAnswer: -254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uku when three letters picked without replacement from {u: 17, k: 3}.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -100, -129, -208, -361, -612, -985, -1504, -2193?\n\"Answer: -4*q**3 - q**2 + 2*q - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4439768.\nAnswer: 2, 19, 29209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-36)*-2*((-198)\/(-24) + (-106)\/424).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2057))**2*6 + (sqrt(51)\/(3*sqrt(147)))**2.\nAnswer: 21771305\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.9 + 0.55?\nAnswer: 4.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - o**2 + 4*o - 7. Let w be s(2). Let q(h) = -130593*h - 35. Let k be q(w). What is k rounded to the nearest 10000?\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 28 = -4*b, 0*b + 8 = -4*b + 5*q. List the prime factors of (-1)\/b + 4 + (-672)\/(-18).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from wwwwwnwwnwww?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**5\/((p**(-2\/11)\/p)\/p*p))**(26\/5)*(p*p**(-2\/17)*((p**0*p)\/p)\/p)**(1\/13) assuming p is positive.\nAnswer: p**(390618\/12155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o + 12*o + 38*o.\nAnswer: 57*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3\/2)\/((-3)\/(-216))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*sqrt(11)*-3*1 + (-2 + sqrt(44)\/sqrt(4) - (sqrt(11) - (2*sqrt(77))\/sqrt(7))).\nAnswer: -2 + 77*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8320988?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/1865 and -31\/2984.\nAnswer: 14920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11011001010110001001001 (base 2) to base 7\nAnswer: 114351554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2688 divided by 1\nAnswer: 2688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3301403 to the power of 1\/2, to the nearest integer?\nAnswer: 1817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/2, -71\/5, 2\/5, -4\/5.\nAnswer: -71\/5, -4\/5, -1\/2, -0.4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6567659?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.115482127 rounded to 3 decimal places?\nAnswer: 6.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 6*o - 9*o)*(o**3 - 2*o**3 + 2*o**3)*(12 + 33 + 2945*o - 2941*o).\nAnswer: -4*o**5 - 45*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15456)\/(-230))\/(-4)*-5*1\/(-2).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0123 - -0.0807. Which is the second biggest value? (a) -0.4 (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 243*c**5 + 274*c**2 + 2.\nAnswer: 14580*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -479*g + 244*g + 236*g. Let m(w) = 11*w - 10. Determine c(m(h)).\nAnswer: 11*h - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of 4*g**7\/21 - 2*g**6\/3 - 3*g**5\/5 + 11*g - 4. Let w(u) = 0. Calculate u.\nAnswer: -1\/2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2377 = -98*g - 282 + 845 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 3*z**2 + 8*z + 45. Give y(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 15*m - 26 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 38318 divided by 5474\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 11*d - 3. Let n(m) = -54*m + d + 51*m - 8. What is the remainder when n(-8) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379475332?\nAnswer: 2, 307, 309019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5\/3 - 1 - 48\/126\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 0 + 1\/2*f**2 + 3*f + 13\/6*f**3. Let q be i(1). Solve 2*z - 8 - 11 = -3*a, -2*z + q = 2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 22 = -4*o, -3*o - s + 9 = -0*o. Suppose -5*h = 4*k - 8, 3*h = -o*k + k + 3. Which is the second biggest value? (a) -0.3 (b) -5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54*m*w**3*z**3 + 12*m*w**3 + m*w**2 - 2*m*w - w**2*z**3 with respect to z.\nAnswer: 162*m*w**3*z**2 - 3*w**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.322 + 0.078. Let r be (6\/(-5))\/(1\/(-5)). Which is the nearest to r? (a) p (b) -0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1914*k**2 - 4381*k**2 - 185*k**2.\nAnswer: -2652*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1351 + 6492 = -189*c - 1474 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 171.\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -198 + 199. Let g be (-9 - 0) + 8 + (-31199999)\/r. What is g rounded to the nearest 1000000?\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ccac2a (base 13) to base 9.\nAnswer: -10058831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4172543*v**3 + 96528*v**2 - 181*v - 1 wrt v?\nAnswer: -25035258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1148*o**2 - 12 + 12 - 2715*o**2 + 453*o**2.\nAnswer: -1114*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3033160 or -3033165?\nAnswer: -3033165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -11121202?\nAnswer: 11121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 - -0.58346.\nAnswer: 0.38346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18 (b) 2085 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37513984 + -0.14695.\nAnswer: -37513984.14695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1012 times -33\nAnswer: -33396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((13 - -8) + -3 - 14) + (5 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 131) + 12565 + -12554.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2, -3, -0.12, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 11*l**2 - 10*l + 11. Let c be h(-12). Let a(r) = -14*r**2 - 39*r - 16. Let v be a(c). Let i = -832 - v. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 1086*w + 2121. What is s(-2)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 105*w**3 - 17*w**2 - 192*w + 37. Let o(k) = -35*k**3 + 6*k**2 + 66*k - 13. Give -6*l(h) - 17*o(h).\nAnswer: -35*h**3 + 30*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 3*i = 2*f + 1253, -4*i = -4*f - 1664. Suppose 47*m - 36 = 324 + 815. What is the remainder when i is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2712 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -7*c - 83. Give j(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0 (c) -10\/3 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25208263757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 1. Let d be l(-4). Let o(g) = 2*g**3 + 26*g + 15*g**2 - g**3 + 17 - 11*g. Let x be o(-14). Solve -5*w - 2 = d*a + 3, -3*w + x*a = -21 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/10 + 3179*l**2\/10 - 87836*l\/5 + 1224216\/5.\nAnswer: -(l - 3123)*(l - 28)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 x, and 1 h when three letters picked without replacement from {g: 5, b: 2, n: 3, h: 3, x: 3}?\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1993 - 8*n**2 + 1993.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 o, and 1 f when three letters picked without replacement from wowbiuoif?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18401819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11281814 rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -105 - -72. Let g = 44 + y. What is the remainder when 39 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47215 - 18562. What is the ten thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.54 + -0.46. Sort b, 0, 0.5 in increasing order.\nAnswer: b, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, g: 3, a: 3, q: 5, y: 1}. Give prob of sequence ag.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i + 3526 + 9792 = -492*i - 3988 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**2 + 20*c + 1378. Let l be r(25). Solve l*p = 24*y - 23*y - 5, -4*y - 2*p = -20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 25, 7*x + 2*x - 2*a - 352 = -9*x - 0*x for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/10 and -97\/143636.\nAnswer: 718180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {f: 1, o: 1, c: 5, b: 3, a: 3}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1445531050 - -1?\nAnswer: -1445531046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**5 + 0*b**5 + 3*b**5 + (3*b - 4*b + 3*b)*(3*b + 2*b**4 - 3*b) - 10*b**3 + 3*b + 3*b**5 + 21*b**3 - 8*b**3.\nAnswer: 9*b**5 + 3*b**3 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/199936 and 139\/192?\nAnswer: 599808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -252 + 242 + 60*m + 10. Let d(p) = -2*p + 5. What is d(x(y))?\nAnswer: -120*y + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/2 + 647285*t**3\/2 - 323642*t**2.\nAnswer: -t**2*(t - 647284)*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 990272?\nAnswer: 10892992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51904.\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -22*t + 55 + 286 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 12:29 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**3 + 13*z**2 - 12*z - 64. Determine n(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -570*v + 570*v - 100*v**2 to the form t + w*v**2 + s*v and give w.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 201177 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 456 - 472 = 4*c, -11 = 3*c - 4*j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*q + 129 = 543 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*v - 25 = 0, -s - 2 = 3*v + 13. Calculate the remainder when 23 is divided by (8\/12)\/((-4)\/(-48) - s).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*c - c + c)*(-5*c + 5*c - 14*c).\nAnswer: -238*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055 a factor of 111738215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 41*b**7\/42 + 7*b**5\/10 - b**4\/6 + 150*b**2. What is the third derivative of q(y) wrt y?\nAnswer: 4920*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -3*g - 135. Let z be (36\/(-10))\/(20\/(-50)). Let k be 1\/(z\/6) + 5239\/39. Calculate the highest common factor of k and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-170)\/(-68))\/(2\/4). Suppose -2*c + 3*b = r, c - 30 = -4*c - b. Solve -c = -9*q + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29\/(-20) - (-1)\/5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-324)\/(-315) + (-2 - (-14)\/10). Sort 2\/9, -9, t, -5 in ascending order.\nAnswer: -9, -5, 2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 - -0.5. Let p = -594 - -594.1. Which is the closest to p? (a) -0.4 (b) r (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 6:15 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by -221?\nAnswer: -25\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1910\/40 - (-1)\/4. Suppose 3*k - 2*v - s = 0, 0 = -5*k - v - v + 64. Let h = 45 - k. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8416 and 251936?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -180*x**2 + 10*x?\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-2\/9)*y*y*y**5)\/((y**(1\/2)\/y)\/y)**(-11\/2))**(-23\/6))**(-12\/19) assuming y is positive.\nAnswer: y**(-391\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s + 2. Suppose 0 = 5*u + 5*p + 105, -4*u - 80 - 7 = 3*p. Let i = 26 + u. Let x be q(i). Solve x*m = 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 479708*h*x**3 + 46271*x**3 - 10*x wrt h?\nAnswer: 479708*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 10:06 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**3 - 109958*u**2 - 659644*u + 1759136 = 0.\nAnswer: -54973, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*b + 28*b + 3444 = 0. Calculate the greatest common divisor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -3) + -4 + 2. Suppose 0 = -5*c + 3*k - 0*k + 156, 2*k - 6 = z. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t**2 + 0*t**2 - 11*t**2)*(-921*t + 1443*t - 1192*t).\nAnswer: 4020*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**5\/20 - o**4\/4 - o**3\/2 - 5*o**2\/2 - 105*o. Determine m(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152049 = 54*h - 51*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1.3. Let i = -0.4 + d. Let g = 0 - -4. Put i, -1, g in descending order.\nAnswer: g, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 12. Suppose 7 - 32 = -o*t. Suppose 0*x = -5*x - f + 8, 5*f = 5*x + 10. What is the smallest common multiple of t and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 9 = -m, 2*m + 4*t + 2 = 4. Let s be ((-16)\/384)\/((-22)\/528). Solve m*p - 19 = s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y + 13753 + 29223 = 0. Let h = 91186 + y. Round h to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(-1001)*(-105)\/30.\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**9\/720 - 3*q**8\/560 + q**7\/280 + q**6\/120 + 7*q**4\/12 - 7*q. Let v(o) be the third derivative of y(o). Factor v(z).\nAnswer: 3*z*(z - 1)**2*(7*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 152 = -4*m - 187, -66 = -m + 46*i - 51*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 1191 = h, 2*g = 4*h - 2*g + 4704. Is h\/(-6)*(-1 + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -c**8\/672 - 13*c**7\/210 - 193*c**6\/240 - 13*c**5\/5 - 3*c**4 - 2*c**2 - 73*c. Factor j(q).\nAnswer: -q*(q + 1)**2*(q + 12)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1371, -1176, -995, -834, -699?\n\"Answer: -x**3 - x**2 + 205*x - 1574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -301*o**2 - 7*o - 7. Let u(m) = 151*m**2 + 4*m + 4. Give -4*c(f) - 7*u(f).\nAnswer: 147*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1004*q**2\/3 + 7030*q\/3 + 14\/3.\nAnswer: 2*(q + 7)*(502*q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y. Let d = 169 + -169. Let o be 3 + -2 + d*6\/(-6). What is x(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 3*d**2 - 2*d - 2. Let g(t) = -t**2 - 7*t - 10. Let v be g(-7). Let x be (-1)\/2 - v\/(-4). Is r(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93 + 1.298\nAnswer: -91.702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i - 7. Let m(o) = -6*o + 13. Let f(n) = 4*m(n) + 7*s(n). Give f(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25446469 take away -16391.76?\nAnswer: 25462860.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2962, -8908, -17828, -29722, -44590, -62432?\nAnswer: -83248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 6:38 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133992.\nAnswer: 2, 3, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2452 + 0.061602076\nAnswer: -2451.938397924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (1\/(-2))\/(7\/(-182))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -4*l - 4 + 16, -3*l + s = 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**2*v**3 - a**2*w + 11*a*v**3*w + 12*a*v*w - 7*v**3 with respect to w.\nAnswer: -a**2 + 11*a*v**3 + 12*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 16*j - 11*j - 20*j. Let c(p) = 8*p**2. Determine c(b(d)).\nAnswer: 1800*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 5913251?\nAnswer: -5913251.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19282184 is divided by 6427392.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 834 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -49*r**2 - 656*r - 6. Let m(w) = 90*w**2 + 1312*w + 11. Give -11*g(y) - 6*m(y).\nAnswer: -y**2 - 656*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 greater than or equal to 270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 188*x**4 + 109*x*z - 124282*z wrt x.\nAnswer: 752*x**3 + 109*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8627 + 8626. Sort 0.2, -2\/11, p, -3\/8, 6 in descending order.\nAnswer: 6, 0.2, -2\/11, -3\/8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(2\/21)\/(20\/(-30))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = i - 24, -i + 4*g + 20 + 0 = 0. Let t(v) = -i*v + 4*v + 3*v + 0*v - 7. Does 2 divide t(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + p - 4 - 9 = 0, -2*a = -3*p + 11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66225777697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 289 - 1446\/5. What is the nearest to 0.2 in -2\/13, -2\/111, a?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = u - 2*c, 217*c = -33*u + 221*c - 211 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 0 + -255 + 253?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33180195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i**2 + 267*i + 1322. What is m(-5)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j**2 + 0*j**2 - 3*j**2 + 15 + 0*j**2.\nAnswer: 4*j**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147, 163, 211, 309, 475, 727, 1083, 1561?\nAnswer: 2179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o. Let w be y(5). Suppose 4 + w = 3*x - 3*b, 2*b = x - 2. What is the second derivative of -4*j**x + 2*j**4 + 0*j - j wrt j?\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -535 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 10:55 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b**3 - 3885*b**2 + 7716*b - 3849 = 0.\nAnswer: 1, 1283\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 702 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -30*c**2. Let h(q) be the third derivative of q**5\/60 + 22*q**2. Determine h(l(v)).\nAnswer: 900*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2232074 and 21389?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 322082821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 2*j + 2 = 0, -31*d - 2 = -29*d + 3*j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*t = 67*t - 2*r + 6, 0 = -5*t - 3*r - 31 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1101001000011000111000 (base 2) to base 7\nAnswer: -41154443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -494 - -497. Solve 10*t - 5*t = -u + h, t + 3*u + 5 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**2 - 3*r - 3. Let n(a) = 5*a**2 - 4*a - 3. Let t = -18 - -22. What is t*k(q) - 3*n(q)?\nAnswer: q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*s - 3*w - 18 = 368*s, -3*s + 2*w = -17 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 13*r. Let z(n) = 285*n. Give -133*i(s) + 6*z(s).\nAnswer: -19*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 + 12*h - 12. Suppose 0*q + 12 = -q. Let n be z(q). Let s(m) = -64166*m + 8. Let d be s(n). Round d to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -o - 0*z + 5*z, 4*o + 4 = 4*z. Let p = o + -1. Let h = 0 - p. What is the nearest to -2\/7 in -2, 5, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, 0.5, -0.5, 2\/23?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*u = 4*i - 1900586, -2850879 = -3*u + i. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**4\/17 + 586*w**3\/17 + 5724*w**2\/17 + 18176*w\/17 + 18112\/17 = 0. Calculate w.\nAnswer: -283, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/9 and (4 + 0)\/(-72)*(-822)\/(-44).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.047 + 0.247. Let m = 11.87 + -10.87. Which is the nearest to -0.06? (a) -5 (b) y (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d - 56 = 0. Suppose 2*g = -2*q + 14, -3*q + q = -5*g + d. Solve -s + 15 = -4*n + n, -g*n - 20 = -s for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*u = 87*u - 27*u + 2550. Let n(x) = -x**2 - 13*x - 2. Determine n(u).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/4*(-40448)\/2229696?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 602130733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -101202122?\nAnswer: 101202122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*w)*(w**3 + 0*w**3 - 11*w**3).\nAnswer: -20*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/15)\/(6\/(-15)). Find the second derivative of 4*s**2 - 16*s - 2*s - 4*s**b + 17*s**5 wrt s.\nAnswer: 340*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 4)*(-14*f + 20*f - 13*f) - 5*f + 3*f + 4*f + (-2*f - 2*f + 2*f)*(0 - 3 + 2) as d*f + s and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -6*x. Suppose x = 4*t - 51763 + 16799. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149069784 to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*l**3 + 2*l**3 + 0*l**3 + (l**2 + 0*l**2 - 6*l**2)*(-2*l + 2*l + l).\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 902 and 1814373?\nAnswer: 3628746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.45975 + 0.47. Let u = -0.09 - -0.1. Let y = l - u. What is y rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36284?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x - 5. Suppose -6*r + 8 = -4*r. Let t(v) be the second derivative of -v**2 + 4*v + 3. Calculate r*o(l) - 10*t(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbpp when four letters picked without replacement from {b: 4, z: 3, c: 1, t: 2, p: 4}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmmo when four letters picked without replacement from ooomoowmmwm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 2011?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 2*t + 10*t.\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence luul when four letters picked without replacement from {l: 3, m: 2, u: 7}.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.0690186 months?\nAnswer: 0.00000575155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*t = 4*b + 5149, -2*t + 20*b - 18*b + 21 - 82 = 7 for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 12. What is the smallest common multiple of 12 and k(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120)*-3)\/sqrt(3) + sqrt(40))\/sqrt(4))\/(2*(sqrt(2) + sqrt(98)*-3)).\nAnswer: sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*m = 40, 2*u - 5*m + 20 = -17. Let l = u - -18. Suppose -v = -3 - l. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10737 (base 10) in base 15?\nAnswer: 32ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 27143\/4*x**4 + 0 - x**2 - x**3 + 0*x. Let i be v(7). Round i to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, l: 7, v: 5}. What is prob of picking 2 l?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 - 2*b**2 + 38*b - 24. Let c be n(7). Let f = -93 - c. What are the prime factors of f?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 75 - -2224?\nAnswer: 2299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/(-15))\/(18\/135*-3). Let i be (1 - -1)\/1*1. Put i, 1, b, -5 in descending order.\nAnswer: i, 1, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2467127 is divided by 143.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/376 and 151\/360?\nAnswer: 16920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 782?\nAnswer: -787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*v - 13*v + 6*v + 18*v**2)*(1056*v - 77174 + 77174) to the form h + t*v**3 + z*v**2 + k*v and give z.\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 80\/36 + 6\/(-27). Let z(i) = -i**3 + i**2 + i + 2. Let a be z(k). Factor -5 - 1 + 0*m + a*m + 6*m**2 - 3*m**3 + 3*m.\nAnswer: -3*(m - 2)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.06697?\nAnswer: -0.20091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 21.6 * 2495\nAnswer: 53892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**2 + 10*u + 8. Determine m(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a decade in months?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*-191*(-15)\/(-10). Suppose -3*q - 2598 + 117 = 0. Let c = w - q. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 1. Let g(d) = -d - 24. Let o(t) = -t - 36. Let r(p) = 8*g(p) - 5*o(p). Let v(l) = -r(l) - 9*z(l). Does 2 divide v(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84\/16)\/(3\/(-2))*2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, a: 1, n: 1, c: 2, q: 3, g: 3}. What is prob of sequence aac?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000300656 to 6 dps.\nAnswer: 0.000301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 502 + -553407?\nAnswer: -552805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*o + 50*o + 286. What is the remainder when 152 is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/20 + (-3171705)\/(-105900)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -573 = -95*m + 285 + 662 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -167, -953, -2929, -6689, -12827, -21937, -34613?\n\"Answer: -99*a**3 - a**2 - 90*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*x*y**3 + x*y**2 + x - y**5 - 39*y**4 - y**2 + 449*y wrt y?\nAnswer: 18*x - 60*y**2 - 936*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2128840182?\nAnswer: 2, 3, 7, 97, 149, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 950 (base 11) in base 3?\nAnswer: 1120101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -751 - 2969 = 2*f. Round f to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 78*c + 4. Let a(j) = -157*j - 7. Let f(s) = -2*a(s) - 5*g(s). Let h be f(-11). Suppose -4*r = -5*d - 664, -r = 4*r + 5*d - h. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41672 + -41668. Solve -r*b = 4*g + 12, 76*b + 4 = 73*b + 2*g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 9986033, 1 in descending order.\nAnswer: 9986033, 11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6993983 is divided by 50?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -272 greater than -273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20686888, -20686886, -20686884, -20686882, -20686880, -20686878?\nAnswer: -20686876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 176?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*l + 89 = -0*l, -2*v + 3*l + 203 = 0. Calculate the highest common factor of 2 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 205, 683, 1613, 3145, 5429, 8615, 12853?\nAnswer: 18293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 712*b**3*h*j**3 + b**3*h*j**2 - 55*b**3*h + b**3*j**2 + 2*b*h*j**3 wrt j?\nAnswer: 4272*b**3*h + 12*b*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1078.66 rounded to the nearest 10?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12589, 12588, 12587, 12586, 12585, 12584?\n\"Answer: -g + 12590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-176316)\/(-117544)*(-2)\/3*1\/((-8)\/5)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10051.331 and 127.7789?\nAnswer: 10179.1099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1241 - -5 - (-6 + 13). Suppose -178*w + 171*w + f = 0. List the prime factors of w.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2 + 2)*(-8*n + 0*n - 18*n) + 0*n - n - 2*n to r*n + p and give r.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from swwwwwwwwwwwwjw. What is prob of sequence sjww?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2*r + 32, 0 = 3*r + 5 + 1. Let v(c) = 4*c + 9. Does 20 divide v(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 168.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136756 + 89.\nAnswer: -136667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g + 2*g)*(-1 - 1 + 0) - 2 + 2 - g - 5*g + 4*g - 3*g + 3 + 2*g - 3 + (-3*g - 2*g + g)*(0 - 3 + 1).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*h - 329 = 208 + 2463 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-68)\/22 - (35 - 38). What is the smallest value in -25, 1\/4, b?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 328 or 74398?\nAnswer: 74398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -704*s**2 - 770*s**2 - 812*s**2 + 2524*s**2.\nAnswer: 238*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of ((-1075)\/(-20))\/(14\/168)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*k**3 + 142*k**3 - 45*k**3 - 54*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1678349 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/5 (b) -0.12 (c) 6 (d) 1 (e) -61 (f) 1.3 (g) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/275 and -131\/324500.\nAnswer: 324500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/19))**(-2\/17) assuming s is positive.\nAnswer: s**(2\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -k**5\/210 + k**4\/42 - 7*k**2. Factor u(i).\nAnswer: -2*i*(i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -111646000 to the nearest 1000000.\nAnswer: -112000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -17*j**3 - j**2 + 5*j + 11. Let b(s) = -7*s**3 + 2*s + 6. Let r(i) = -7*b(i) + 3*w(i). Let p be r(-3). Solve -m = z - 2*z, 2*z - p = -m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2608, 5226, 7870, 10552, 13284?\nAnswer: 16078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkkkkkkkkkkkkkk. Give prob of sequence kj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 64\/36 - (-2)\/9. Which is the third biggest value? (a) -5\/3 (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*t = -3, 2*f = -4*t - 0*t. Let k(i) = 4*i + 8. Let j(a) = a. Let q(z) = 3*j(z) + k(z). Let v(h) = 13*h + 15. Determine f*v(s) - 11*q(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-30) - 28\/(-5). Let q(r) = 2*r**3 - 5*r**2 + 3*r + 23. Let t(g) = g**3 - 2*g**2 + g + 11. Let b(v) = n*q(v) - 13*t(v). Calculate b(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + g + 3. Let j be f(0). Let p(k) = 358*k - 354. Let b be p(1). Solve 0 = -2*l, -2*d + 4*d = -j*l + b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/(-23))\/((-14)\/35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*p = -45*p - 132 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13320 + 2012212?\nAnswer: 2032132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 13) to base 4\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1205212 is divided by 844?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70 - -5. Let r = 86 + b. Differentiate 15*x**2 + 15*x**2 - r*x**2 - 5 wrt x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.017 or -3.4?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = -3*l + 286. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 35 = -5*m. Let c = -6 - m. Suppose 0 = -c*a + 22 + 3. Solve a*q = -15, -i - 5*q = 23 - 5 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -89460, -357861, -805218, -1431549, -2236872, -3221205?\n\"Answer: -3*w**3 - 89460*w**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3697, 3748, 3841, 3982, 4177, 4432?\n\"Answer: k**3 + 15*k**2 - k + 3682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -0.090421.\nAnswer: 0.723368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15402144 is divided by 1266.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = m - 3*v, -2*m + 6*m = 4*v - 408. Let j = m + 105. Find the third derivative of 5*a**3 - 24*a**2 - 4*a**3 - 18*a**j - a**3 wrt a.\nAnswer: -1080*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 326.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 - 3*l**3 - 5*l**3 + (-l**3 + 0*l**3 + 0*l**3)*(0 - 3 + 5) + 40*l**2 + 18*l**2 + 2*l**3 - 26*l**2)*(l + 0*l + 0*l).\nAnswer: -5*l**4 + 32*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4089 + -2121. Suppose -h - t = -2007. Calculate the remainder when h is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*((-240)\/(-1716))\/10?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1320204, -1320200, -1320196, -1320192?\n\"Answer: 4*a - 1320208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*a**3 - 10*a**3 + 25*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 10*w**5 - 6*w**3 + 2*w**2 - 2*w - 110. What is the second derivative of c(a) wrt a?\nAnswer: 1200*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9\/2, 1, 1\/2, 0, 6 in descending order.\nAnswer: 6, 1, 1\/2, 0, -9\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 + -17 + 2 - (1 + -12)) + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 23 = -2*o, -15 = -3*o - 4*j + 8. Calculate the lowest common multiple of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w - 17*w**2 + 6*w**4 - 3 - 4*w**4 + 4*w as r*w + p*w**2 + u*w**4 + o*w**3 + k and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 1237, 2 in increasing order.\nAnswer: -1, 1, 2, 1237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i - 6. Let v(n) = 24179*n - 2*n**2 - 24179*n. What is v(l(s))?\nAnswer: -18*s**2 - 72*s - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2572114 and 4?\nAnswer: 10288456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*m**3 + 214*m**3 + m - m.\nAnswer: 71*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 2*o. Let t(b) = 110*b**2 + 20*b. Determine 10*k(p) - t(p).\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 59, 0, 8, -1 in decreasing order.\nAnswer: 59, 8, 2, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 143099 and 196318819.\nAnswer: 13009","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**2 - 17*t + 21. What is the units digit of w(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/246 and 29\/3104561?\nAnswer: 18627366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575267*g - 1053 = 575294*g for g.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112318812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(40)\/(sqrt(8) - (sqrt(392) - (sqrt(392) + (sqrt(392) - (sqrt(392) - (sqrt(392) - (sqrt(392) + sqrt(392)*2)))) - sqrt(392)))))**2.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 80, 79, 78?\n\"Answer: -v + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -212063*o + 1304. Let h(a) = 1625*a - 10. Calculate 652*h(m) + 5*u(m).\nAnswer: -815*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, d: 1, a: 11, o: 1, s: 1, f: 2}. Give prob of picking 2 f and 2 a.\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.29 + -27. Let z = u + -11.29. Let f = 97 + -98. Which is bigger: z or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 5*f + 1. Let n(h) = -6 + 2 - 14 + 8*h - 3 + 10*h. Let u(d) = 6*g(d) - n(d). Let c(p) = 2*p**2. Calculate u(c(m)).\nAnswer: 24*m**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004492 rounded to seven dps?\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 3*k - 1. Let s be y(0). Let v be (0 - s)\/(-2)*10. Let r = v + 22. Calculate the remainder when r is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.787 + 0.013. Let r = -0.8 + f. What is the second biggest value in 1\/4, r, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 14, -1 in ascending order.\nAnswer: -1, 14, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(14\/6)*-4*24\/(-160)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 165 - 207 = -3*j, 4*j + 2 = 3*l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 + -27. Let f = -54 + 71. Calculate the remainder when v is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2231192495?\nAnswer: 5, 7, 739, 86263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 10. Let b = -4 - -9. Let k be x(b). Is k > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeuuszv. What is prob of picking 3 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64\/5*f + 56\/5*f**3 - 124\/5*f**2 + 0 + 4\/5*f**4.\nAnswer: 4*f*(f - 1)**2*(f + 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 5:07 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195 and 1106755.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 8 - 2 - 6)*(-3*n - 4*n**2 + 5*n + n**2).\nAnswer: -3*n**3 + 50*n**2 - 32*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 + 23*g - 26. Let m be i(-12). Round m to 0 dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -2. Let i = 14 + 10. Let c = 23.7 - i. What is the second biggest value in c, q, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 2. Suppose 17 = 5*h + 3*f, -3*f = 4*h - 7 - 6. What is g(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 37. Let u = y + 39. What is the highest common factor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z - 22. Let q be f(9). Solve -q*d = 4*k + 20, 4 = -k - 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(17) + -4)**2 - -5*sqrt(1377) - (2*sqrt(204)\/(sqrt(12) + (sqrt(48) + sqrt(96)\/sqrt(2) - sqrt(48))))**2.\nAnswer: 85\/9 + 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 + m**2 - 2*m**2 - 2*m**2 + 2*m**3 - 20*m**4 - 4 + 28*m**4 as k*m**3 + d*m**2 + h*m + s + p*m**4 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -5) + 2 + 15 + -22.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 3, t: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/1200 and -151\/6166800?\nAnswer: 6166800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 13*g**2 + 98*g - 12. Let c(b) = -21*b**2 - 163*b + 20. Determine 13*a(q) + 8*c(q).\nAnswer: q**2 - 30*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 312 and 8.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 4*s + 4 = 0, 85*s - 3 = -2*f + 82*s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 2754 (c) -1\/30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: bab3 (base 16) to base 9\nAnswer: 72505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21241804, -21241803, -21241802, -21241801?\nAnswer: -21241800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - g**2 + 16*g + 33. Let m be v(-3). Sort m, 0.5, 2, 0.12 in descending order.\nAnswer: m, 2, 0.5, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 11*g + 12. Suppose 4*f - 32 = 8. What is the units digit of t(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(4\/12*3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*t - 12*t - 9*t**2)*(-2*t**2 - 3*t + 3*t).\nAnswer: 18*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 5*b = -13*a - 30, 5*a + 81 = 2*b. Let u be (-10)\/a - (-1)\/(21\/28). Solve 11*w + 20 = -u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43224420 (base 5) to base 14.\nAnswer: 97ccd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, k: 6, a: 1}. What is prob of sequence ak?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11\/(-2) - 0)*-26. What is u rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q - 5 + 5 + (4*q - 14*q - 6*q)*(2 - 3 - 3) - 4*q + 4*q + 2*q + (0*q - 4*q + 6*q)*(3 - 2 + 0) to the form v*q + p and give v.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465280 is divided by 116317.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1210210 (base 3) to base 11\nAnswer: a98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4278.874 nanometers in kilometers?\nAnswer: 0.000000004278874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/5 - (-2256)\/(-960).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 729 divide 11940424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -1\/3*t**3 + 2*t - 1\/2*t**2 - 14. Determine w(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 - 1331511013?\nAnswer: -1331510545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1222)\/(-7) + -1 + (-50)\/(-35)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -1440422941.262?\nAnswer: 1440422939.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(105\/(-6)) + 48\/28. Suppose r*g = -i - 0*i + 73, 5*i + 5*g = 375. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19023664?\nAnswer: 2, 11, 108089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2)\/((s\/(s\/(s*s**5*s)))\/s))\/(s*s**(-5)*s*s**(-1)))**(-1\/9) assuming s is positive.\nAnswer: s**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3 (b) -0.2 (c) -4 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 + -212204?\nAnswer: -212242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from nnnnnpvynnnnvynlvnp?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138 and 851?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 2*b - 3. Let i be x(-9). Let n = -148 - -151. Suppose -6*k + i = -n*k. Calculate the greatest common divisor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(80)*-2 + 0 + (sqrt(80) + sqrt(80)*-2 + sqrt(80) + sqrt(80))*4 - 3*(sqrt(80) + -2*(sqrt(80) + -1))))**2.\nAnswer: -960*sqrt(5) + 8144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1075, -2699, -7109, -15697, -29855, -50975?\n\"Answer: -232*s**3 - s**2 + 3*s - 845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 6:01 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*l**3 + 158*l**2 - 110*l - 104 = 0.\nAnswer: -13\/4, -4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 7*a**2 - 3*a. Let r be v(2). Suppose -r = -5*d + 8. Suppose 3*s - 36 - d = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/19, 68, 0 in descending order.\nAnswer: 68, 0, -1\/19, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -110, -0.2, 2, -1?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 9399210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 7:25 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1260197 is divided by 1231?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + (sqrt(70) - (-4*sqrt(70)*-2 - sqrt(70))))\/(1*sqrt(1440)) - (-5*-5*sqrt(35)\/sqrt(5)*-5)**2.\nAnswer: -109375 - 5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2554.2 + -2558.2. Let p = 1.3 + 3.7. Let w = p - 13. What is the second smallest value in w, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -803 - -807. Suppose 0 = 3*p - 8*p - v - 1, -3*p = -4*v + 19. Which is the biggest value? (a) s (b) p (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/32 and (((-2)\/12)\/(-1))\/(2992\/(-22236)).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7744.508 rounded to the nearest 100?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1576?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + 1 - (2 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 e, and 1 r when three letters picked without replacement from {r: 6, x: 4, e: 9}?\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 80793960 divided by 103582\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -293 + 288 - (46 - 3 - (-2 + 3))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 23. Suppose 5*u - 62 = p. Suppose 0 = f - 5, 4*y + u = 5*f + 5. Solve -9 = 4*w - g, -g = y*w - 8*w - 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - d**2 - d - 2. Let f be j(-2). Let y be ((-8)\/(-6))\/(f\/6). Solve 4*g = 3*g + y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**4\/12 + z**3\/2 - 8*z**2. Find the first derivative of k(o) wrt o.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17)\/((-17)\/2) + 6. Suppose 4*s + 96 = 7*s. What is the greatest common divisor of s and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + f**2 - 8. Let k be u(0). Let z = 4 + k. Suppose 6 = -0*s + 3*s. Sort s, z, 5 in increasing order.\nAnswer: z, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1282246, -1282279, -1282312?\n\"Answer: -33*b - 1282213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntotnntppdngddtpn. What is prob of picking 2 p and 1 d?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4854 - 4731. Solve 0 = -38*z - 29 - x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -2 + 9*s + 1\/2*s**2. What is the units digit of z(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - 0 - 4962\/(-2184). Let p = f + -2\/91. Which is the third biggest value? (a) 2 (b) 1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1230318530?\nAnswer: 2, 5, 7, 23, 47, 71, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 12*v**2 + 21*v + 8. Is 3 a factor of p(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400 a factor of 13393800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4000800 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 209671 or -2\/13?\nAnswer: 209671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/424 and -23\/954.\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -181469.0928 rounded to the nearest 100?\nAnswer: -181500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*y - 30 = 206*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -2*c - 6, -4*c = -29*g + 34*g - 40 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 9:38 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/4, 2\/5, 18 in decreasing order.\nAnswer: 18, 2\/5, -7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -13\/29230287 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 137. Let q = -119.3 - i. Let o = -4.3 - q. What is the second biggest value in -4, -2, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23773 + 23773.042412. What is w rounded to three decimal places?\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -311 + 311.4. Which is the closest to 1\/3? (a) l (b) 6 (c) -42 (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 545 and 303565?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 187787*k**5 + 38*k**2 - 20718255*k wrt k?\nAnswer: 3755740*k**3 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 218.68 + 1451?\nAnswer: 1669.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jdj. Give prob of picking 1 d and 1 j.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 162240703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 591432492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-5))\/(36\/40). Let u be 4 - 1 - (-485)\/7095*-47. Let z = u + 4\/129. What is the third biggest value in z, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8825 - 9765 + 19945)*(-4 - l + 4)*(l - 3*l + 3*l) in the form z + g*l + x*l**2 and give x.\nAnswer: -1355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(5) - (sqrt(240)\/sqrt(4))\/sqrt(12)) + 5)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + d**2 - 2 + d**2 - d**2 + d**2 + 2*d**2 + (1 + d**2 - 1)*(1 - 1 + 1) + 16*d - 16*d + 11*d**2.\nAnswer: 16*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2384, 2386, 2388, 2390?\nAnswer: 2392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 155, -3, -5, -1, 76, -13 in descending order.\nAnswer: 155, 76, -1, -3, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 182084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 + 0.1. Let y = a + 13. Let t = y - 13.0000012. Round t to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 3, 4, 56111, -1, 2 in decreasing order.\nAnswer: 56111, 4, 3, 2, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18989*c = -18980*c + 99 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 - 2*y**2 - 3*y + 2. Is t(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 + 109 = u - 2*v, 5*u - 158 = 4*v. What is the remainder when 428 is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11259 divided by -3.\nAnswer: -3753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 134, 14, 2, 1, -645 in descending order.\nAnswer: 134, 14, 2, 1, -645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 753737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -25*r + 221. Let f be o(6). What are the prime factors of (-552)\/(-4 - -2)*(73 - f)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1435 rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + -25. Let d = 742 + -738. Suppose -d*w = -41 - l. Calculate the greatest common factor of w and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + 2*l**2 + 0*l**2)*(-3*l + 2*l - l + 0 + 0 + 2*l + (3 - 2*l - 3)*(-1 + 1 + 2) + l - l + l - 15*l + 0 - 1 + 13*l).\nAnswer: 5*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2867 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -2. Find the common denominator of (-626)\/96 - (-1)\/g and 11 + 0 + -20 + -3 + 645\/78.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0*s - 4. Let m = s + 4. Let n(y) = y**2 + 23*y + 66. Let p be n(-20). Solve -m*x = -p - 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 41745?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (-7)\/35 - (-91)\/5. Let m(l) = l**2 - 8*l - 5. Let i be m(5). Let s = i + g. Let h(j) = 2*j**3 + j**2 - 2*j - 2. Calculate h(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 867659352.\nAnswer: 2, 3, 7, 29, 178091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i = 110 - 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*x**2 - 7*x**2 - 34*x**2)*(24*x**2 + 128*x - x**3 - 128*x).\nAnswer: 63*x**5 - 1512*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-4*84\/784.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2032 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (-8 + 1 + -12 - -10).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 376954181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6963*k = -3*d - 3503*k - 3479*k + 13, 0 = -4*k - 8 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -36199 equal to -36197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1665 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 - 61*m - 198. Determine y(-43).\nAnswer: -1273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2388*u + 1008*u + 1148*u)*(-27*u**4 + 57 - 57 - 2*u).\nAnswer: 6264*u**5 + 464*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.001725 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 19, -1, 4 in decreasing order.\nAnswer: 19, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cd6 (base 15) to base 13.\nAnswer: -1422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 4*n - 2*n)*(17*n**4 - 12*n**3 + 12*n**3) + (n - n + n**2)*(6*n**3 - n**3 - 3*n**3).\nAnswer: -32*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 1:24 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5947785.\nAnswer: 3, 5, 132173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 10:59 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181005?\nAnswer: 3, 5, 11, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 1. Let l be x(5). Let i(h) = h**3 - 3*h**2 - 5*h + 6. Let o be i(l). Find the second derivative of -q**2 + 3*q + q**4 - q + q**o wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32720 divided by 47\nAnswer: 32720\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110, -116, -126, -140, -158, -180, -206?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -53, -4 in increasing order.\nAnswer: -53, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114 + -114.00000262. What is l rounded to seven decimal places?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 + 62 + 58*n.\nAnswer: 58*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -19. Let o be w + 0 - (-1 - -4). Sort -5, o, -2.\nAnswer: -5, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.22 + 0.27. Let m = -1.25 + 1.1. Let v = p + m. Round v to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14135912?\nAnswer: 2, 7, 36061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**2*t**2*w**2 + 7854*m**2*t*w**2 - 677*m**2 + m*t**2*w - 3*t**2 wrt w.\nAnswer: 4*m**2*t**2 + 15708*m**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1212327 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 27 = 3*u, u + 898 = -5*j + 877 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 1:08 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 518 + -440. What is the greatest common factor of u and 258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2595064 and 2951.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 511869, 511867, 511865?\n\"Answer: -2*h + 511871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11253 or -11254?\nAnswer: -11254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1200 divided by -40\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 639*q = -772 - 27344 for q.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -5.1. Which is smaller: -10 or m?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1491)\/(-3) + ((-18)\/(-6) - -4) - -1 is divided by 92?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -52*w + 27. Let c be d(-6). Suppose 5*l - 589 = f + 2*f, -3*l + c = 3*f. Suppose -y = -4*b - 82, -2*y - b = 3*b - l. What are the prime factors of y?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((4 + 2 - 7) + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 176*x**2 + 720*x wrt x?\nAnswer: 352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (208\/60)\/4 + (-4)\/20.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**4 - 12*s**3 - 22*s**2 - 12*s = 0?\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -844 - -858. Let x(j) = -8*j**2 - 18 - 5 - j**3 + 7 + k*j + 2*j**2 + 6. Give x(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6*c = -27. Let o = 7 + c. Let j = o + -23. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 230*y**3 - 3607*y**4 + y - 3606*y**4 - 4 + 10819*y**4 - 3608*y**4 as v*y**2 + s*y**4 + x*y + f*y**3 + q and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2145\/(-390)*4\/(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 478 = 3*v + 88. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 3*c**2 - 2*c + 2. Let v be u(2). Let m(x) = 32 - x**v - 32. Let z(h) = -4*h**2 + 2*h**2 + 0*h**2. Calculate m(z(t)).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from pffdppdfpfd?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - 7*z - 17. Let k be b(8). Let u be 52\/78*k\/32. Which is bigger: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 18 = 2*t - 5*t, -q - t + 4 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - q - 3. Suppose 5*u = 0, 0*o - o = 4*u - 4. What is m(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - u + 6*u = 20, -10 = -2*u. Suppose -4*a - j = 3. Let k = -1 - a. Solve x + r - 1 = 0, -3*x - 3*r + r + 5 = k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -5*t - 7, t - 77*p = -82*p + 16 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -t + 238567 + 20675. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.33 - 0.33. Let i = 0.3 - -0.2. Put c, 1\/6, i in increasing order.\nAnswer: 1\/6, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 + 7. Let s(f) = 2*f. Determine s(o(b)).\nAnswer: -4*b**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -9. Let c be 0*((-920)\/(-138) + -7). Solve c = -f*j - 6 - 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 90*w**4*y + 2*w**3*y + 119*y wrt w.\nAnswer: 360*w**3*y + 6*w**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x**7\/168 - 11*x**6\/60 - 97*x**5\/80 + 11*x**4\/2 - 6*x**3 - 34*x - 6. Let d(r) be the first derivative of b(r). Factor d(n).\nAnswer: -n*(n - 1)**2*(n + 12)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 477\/(-265) + 26\/(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/23558738 and -43\/10?\nAnswer: 117793690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, b: 3, e: 4, a: 3, q: 1, s: 1}. Give prob of picking 2 a and 1 q.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**0)**(1\/16))**(-9) assuming l is positive.\nAnswer: l**(-9\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1962)\/(-1526))\/(2\/14).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -26*y**2 + 8*y - 119. Let v(z) = 46*z**2 - 14*z + 239. Give -5*i(p) - 3*v(p).\nAnswer: -8*p**2 + 2*p - 122","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 186992.7 nanometers in millimeters?\nAnswer: 0.1869927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g**3 + 4*g**2 + 2*g + 57. Let o(y) = 25*y**3 + 22*y**2 + 11*y + 284. Give 2*o(r) - 11*s(r).\nAnswer: -5*r**3 - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1030 - 1024. Let p(w) be the first derivative of 7 + 1\/2*w**4 - 1\/2*w**2 + 0*w**5 - 1\/6*w**h + 0*w**3 + 0*w. Factor p(i).\nAnswer: -i*(i - 1)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 8 = -6*q. Solve -m - 15 = q*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1005 and 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 60.431 and 115?\nAnswer: 6949.565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-189)\/1323*14\/(-4)*32\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {e: 10, g: 9}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 171 by 2187.\nAnswer: 19\/243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 552 and -0.05?\nAnswer: -27.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3) - 51947\/(-21). Let h = -11848 + d. Let x be (-512)\/(0 + (-1)\/h). What is x rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12817*a*g + 2338*a wrt g?\nAnswer: -12817*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s - 2. Let g be r(4). Suppose -g*p = -3*p - 6. Solve -3*v - 4*f + p*f - 23 = 0, -4*f - 26 = 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -11) + -1 + 0 - (-53 - -21 - -24).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/1116 and 151\/180?\nAnswer: 5580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15692, 15341, 14990, 14639, 14288, 13937?\nAnswer: 13586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25.744 + -25.644. Is s >= -30964?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 - -1001101011110010001100?\nAnswer: 1001101011110010011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/17*u**2 + 0*u + 2\/17*u**4 + 0*u**3.\nAnswer: 2*u**2*(u - 1)*(u + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2270805, 4541607, 6812409, 9083211?\n\"Answer: 2270802*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-2\/11)*(p**(6\/13)\/p)\/p*(p**(-3\/22))**43 assuming p is positive.\nAnswer: p**(-1883\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 14*z + 29. Let r(u) = -16*u - 34. Let v(w) = -6*o(w) - 5*r(w). Let h(k) = 0 + 3 - 9*k - 8 - 4. Determine -3*h(i) + 7*v(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 43, 115, 227, 385, 595, 863?\nAnswer: 1195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31.1 + -31.2. Do -135 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -58) + -2 + -10 + 4 + -6?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 652 = -5*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -5692\/239 = -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 861904996?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39030760 divided by 4261.\nAnswer: -9160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**2\/4 + 3333*y\/4 - 3331\/2 = 0.\nAnswer: 2, 3331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4956 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*s + 103. Suppose -s*r + 27*r + 2 = 0. Suppose -u = -r*u + 8. Calculate the highest common divisor of u and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6948 divided by -9\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*r - 3*m, -3 + 6 = 2*r + 3*m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0356 * -14.\nAnswer: -0.4984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14472 - 14292. Calculate the greatest common divisor of 2460 and y.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 4:14 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.8 - 2.8081. Let w = y + 21.3081. What is w rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163021 divided by 3.\nAnswer: 163021\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 683560 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7*g**(4\/15)*(((g*g**(-2\/23))\/g)\/g)\/g*g*g**(5\/2))**(9\/14) assuming g is positive.\nAnswer: g**(17967\/3220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9886, 17380, 24840, 32260, 39634, 46956?\nAnswer: 54220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 5*i - 3585 = 0, -3*v - 6310 + 875 = -4*i. Let o = v - -25281\/14. Calculate the common denominator of o and -61\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 671.\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1446 = -3*g + 3*h, 3*h = -7 - 2. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = -7. Suppose 43 = m + 3*f, -3*m + 0*f = -4*f - 142. Suppose -4*h - 14 + m = 0. Calculate the smallest common multiple of n and h.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4625?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1121, 2249, 3389, 4547, 5729, 6941?\n\"Answer: p**3 + 1121*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgbppbihbfp. Give prob of sequence fp.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 363929, 1455902, 3275871, 5823848, 9099845?\nAnswer: 13103874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 509 - 508.6205. Let g = 0.38 - i. Let n = 0.005 - g. Round n to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116 - 56. Suppose 4*w - 13 = 19. What is the remainder when w is divided by (-1 - -4)*-4*(-25)\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18*(-6)\/(-9) + -3 - 3. Suppose 0 = -4*q - 3 - 1. Sort -2, q, p in descending order.\nAnswer: p, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101 (base 2) in base 15?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*w + 26*w + 9908 + 5*w - 9908.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 10. Suppose -u = 0, -2*q + y = 2*u - 7*u. Let h = 4 + q. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((13\/52)\/(-1) - 8\/8) + 3 + -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240 and 1472?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3252198829 to the nearest integer?\nAnswer: 57028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 4*k + 10 + 0*k**2 - 5 - 4*k. Let g be q(7). Let d(f) = -31*f**3 - f**2 + 6*f + 7. Is d(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 115379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37305773563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hazahmaamaazzm. What is prob of picking 2 a and 1 m?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (336\/126)\/(7\/(-42))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 7. Suppose -w*x + 2*x = 0. Which is smaller: -2\/39 or x?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*d + 2*u - 26, -5*u = 2*d - 32. Suppose 5*h + c - d*c - 1905 = 0, 1155 = 3*h + c. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 16 = -0*k. Let u(z) = z**2 - 8*z - 3. Let r be u(k). Let d be 90\/8 + r\/12. What is the greatest common factor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 33969.\nAnswer: 7\/33969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1053 = -9986*f + 10103*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zf when two letters picked without replacement from {f: 1, z: 2, e: 1, x: 2, s: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z**7\/21 + 143*z**6\/60 - 138*z**5\/5 - 3173*z**4\/24 - 361*z**3\/6 + 634*z. Suppose d(g) = 0. What is g?\nAnswer: -2, -1\/4, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 7 - 5 - (5 + -4 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 59486 divided by -98\nAnswer: -607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 75 = 6*y. Let q = 30 - y. Put 1, 2, q in ascending order.\nAnswer: 1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1088 = 6625*l - 6591*l for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1254596, 5018470, 11291598, 20073980, 31365616, 45166506, 61476650?\nAnswer: 80296048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 11 = 25. Let h = -7 - f. Solve 0 = -h*l - 3*v + 14, 2 = l + 3*v + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 377292 and 2580896?\nAnswer: 178081824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1805 + -1804.93. Sort -1, g, 14, 2\/5 in increasing order.\nAnswer: -1, g, 2\/5, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 16 + 10 + 22*i + 5 in the form c + x*i and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 28*r**2 + 194*r + 16. Let f be b(15). Solve 9 = -5*l - c - f, c = 5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -463 bigger than -463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3213)\/18)\/17*86\/43.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*j - 893 - 206 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16286714 and 4.\nAnswer: 32573428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*2\/10 + 1156\/1360. What is the biggest value in 3, -3.8, x, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 164 - 121. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(187)*6)\/sqrt(11))**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201546843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 165, 186, 299, 570, 1065, 1850, 2991, 4554?\n\"Answer: 11*h**3 - 20*h**2 + 4*h + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*w + 113597848 = 530*w + 26494950. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1994 divided by -19\nAnswer: -1994\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15780078557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 + 0*v**2 - v**2 + v**2 - 3*v**2 + v**2 + (2 - 2 - v)*(563*v - 273*v - 261*v + 2).\nAnswer: -28*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1304175, -1304088, -1304001?\nAnswer: -1303914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 - -1)*(-96)\/(-20). Let p be 3\/g*10*8. Let s be 2 - (-5)\/(p\/12). Which is the closest to 0? (a) 3 (b) s (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 48\/26 - 2\/(-13). Suppose 11 + 23 = y*l. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1691897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.1, 0.09, 2\/5, 11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000966263505 rounded to 7 dps?\nAnswer: -0.0000966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 135 - 54. Let p be 9\/(-81) + (-74)\/(-18). Let v = p - -17. Calculate the remainder when n is divided by v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90 - 87. Solve -2 - 7 = o*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/14*(-210)\/180?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.09 + 5.09. Suppose 6 = 5*d - 2*d. Let j be d*(-2)\/6*1. What is the second smallest value in g, j, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1364 - 932. Suppose 40*p - 36*p = w. Let t be ((-3)\/(-2))\/(p\/16 + -6). What is the greatest common divisor of t and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r**2. Let i(u) be the second derivative of 4*u**4\/3 - u + 2. What is g(i(h))?\nAnswer: 1024*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 12*b**2 + 2*b - 24. Let r(s) = 14*s**2 + 2*s - 24. Let u(d) = -6*c(d) + 5*r(d). Factor u(z).\nAnswer: -2*(z - 3)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 3*l**2 - 5*l - 1. Let a be y(5). Suppose 6*x = 2*x + a. Suppose x*t - t - 1435 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2*d + 3)*(-2*d**3 + 4*d**2 - 4*d**2) + 461*d**4 - 458*d**4 - 6*d**2 - 21*d**2 as a + c*d**2 + n*d**3 + f*d**4 + i*d and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 15. Let a(b) = 2. Let k(d) = 14*a(d) - 2*z(d). Determine k(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24\/1*(-34055)\/(-196)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o + 607 + o - 2*o**2 + o**3 - 609 to the form l*o + y*o**3 + n*o**2 + p and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1449 divided by -483?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 3 = -4*x - 9, -2*i - 4*x = 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -67, -150, -267, -418, -603?\nAnswer: -822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 252.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 127*d)*(-4 + 5 - 3)*(-1 - 3 + 2) - 2 - 2*d + 2.\nAnswer: 506*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1033 + -0.103188. What is f rounded to 6 decimal places?\nAnswer: 0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -20. What is the least common multiple of s and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**3\/15 - p**2\/10 - 4. Suppose n(d) = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -555, -13, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-62)*1\/5. Let v = 6\/31 + o. Let k(t) = t + 2. Let u be k(-3). Which is the second biggest value? (a) -4\/3 (b) u (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -545\/4 + 135. Let z = -0.656 + -63.744. Let w = -64 - z. What is the nearest to -2\/7 in -2\/3, a, w?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 8:39 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x - 2*x + x + (-x + x + x)*(1 + 1 - 1) - 2*x - x + 4*x + x - 2*x + 2*x + 3*x + 3 - 3 in the form f + j*x and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*x + 16 + 2, 3*x - 4*j + 19 = 0. What is the closest to 0.1 in 5\/2, -1.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 75*q - 2569. Give j(35).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 70 = 2*u. Let r(c) = -2*c + 24. Let v be r(u). Solve 5*b = -j - 3, 5*j - v*j + 2*b = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + v + 6 = 0, -4*w + 2 + 2 = 2*v. Differentiate w*k**3 - 1 - 5*k**3 + 4*k**3 + 4*k**3 with respect to k.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*o + o**3 + 3*o - 2*o**3 + 95*o as l*o**3 + r*o + d + v*o**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 309551781 divided by 28141071\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45045 is divided by 202.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -7*f**3 + 11*f**2 + 23*f - 135. Calculate h(5).\nAnswer: -620","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*n = -5*d + 2523, -2*n - 1245 = 3*d. Let x = n - -1007. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)\/sqrt(8) - (sqrt(432) + sqrt(48)))**2.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 6944 = 2983. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-3))\/((-285)\/(-684)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from urvqqurnd. Give prob of picking 1 n, 1 u, 1 d, and 1 r.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/(-5)*(-175)\/(-56) and 99\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2527*l = -2533*l + 81138. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 117337796 to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1296*p**3 + 1020*p**3 + 1001*p**3.\nAnswer: 725*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14300?\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8))**(-45)\/((h**(-6\/5)*h)\/((h*(h\/h**(11\/5))\/h)\/h)) assuming h is positive.\nAnswer: h**358","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -5, -51, -8, 3 in decreasing order.\nAnswer: 3, -5, -8, -15, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 48\/10 + (-4)\/(-20). Suppose -5*z + 120 = -5*x, -34 - 38 = -3*z + n*x. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.0308 + -0.0308. Which is the closest to 2? (a) g (b) -4 (c) 1 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 937622 to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*195.12041\nAnswer: -97.560205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((12\/10)\/(-1))\/((-5)\/(-25)). Let v(d) = -9*d**2 - 4 - 6*d**3 - 4*d + 7 + 1. Let z be v(r). Round z to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 45f + 3204?\nAnswer: 3663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73 - 73. Suppose 2*h - 8*q + 5*q - 1315 = p, 2*q + 3271 = 5*h. Suppose h = 11*m + 2963. Round m to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8698580 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -107547796?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 9\/5 + (-2)\/(-10). Suppose 0 = -5*t - 2*c + 24, 0*t + t = c + g. Let b = 52 - t. Is 35 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 18. Suppose -7*w + 4*w = 0. Suppose 4*r - 41 + o = w. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/218 and (-343)\/7*((-3)\/8 + (-7)\/(-24)).\nAnswer: 1308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2685 and 1949.\nAnswer: -5233065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3413 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 36 (b) 0.5 (c) 4.9 (d) -0.6613\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -567 - -111. Let k = -131 - a. Suppose 13*o + 0*o - k = 0. Solve -3*h + o = 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 2, 6 in decreasing order.\nAnswer: 6, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/2041440 and 29\/1224864.\nAnswer: 6124320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 3682, -1 in increasing order.\nAnswer: -1, 0.07, 3682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0 + 6. Suppose -4*z + 5*a + 0*a + 9 = 0, -c*a + 2 = 5*z. Which is bigger: z or 1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1495 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (4 - 5 - (-17 + 17 + -5)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 55 and 444769420.\nAnswer: 4892463620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/4 - (-52)\/(-16)) + (-260)\/(-78). Let -l - 1\/2*p - 1\/6*p**2 = 0. Calculate p.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 364*u - 23*u + 194*u + 1137 - 1137 as j*u + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**3 - 16*o**2 + 89*o + 30. Give p(5).\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7279868 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (5 + 5 + -7)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 46*l + 17. Let y(u) = -2*u - 15. Let t be y(-11). Is g(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 463.7877 kilograms to nanograms.\nAnswer: 463787700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256\/5*p**2 + 0 + 0*p + 36\/5*p**4 - 192\/5*p**3 = 0. Calculate p.\nAnswer: 0, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 486599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 316, 47131, -1 in descending order.\nAnswer: 47131, 316, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2036 divided by 111?\nAnswer: -2036\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1203041125 (base 6) to base 7\nAnswer: 223306454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-11 + -12 - -15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + 5 + 124\/(-16)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 17) + -3 - 1. Let w = y + 23. Solve -5*x - w - 14 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -18*z**2 - z + 2. Give n(-2).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.41 - 13.8. Let s = 1.39 + d. Let j = -1\/109 - -113\/436. Which is the closest to j? (a) 0.3 (b) s (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**5 - 1136*v**4 + 165408*v**3 - 7524844*v**2 + 32704510*v + 40395900 = 0. Calculate v.\nAnswer: -1, 6, 95, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 40 = -0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1107 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -4, -3, 0.5, -46\/5, -0.2 in descending order.\nAnswer: 0.5, 2\/7, -0.2, -3, -4, -46\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*z = j, 3*j = 2*z + 23. Suppose 2*u - j*u = -21. Suppose 86 = 3*i - u. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.32, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11460\/(-25212))\/((-19)\/11).\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000997 rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u = 16, -4*h + 6480 = -5*u. Suppose h = 5*l - 260. Suppose 115 = -5*s + l. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -7*c + 10. Suppose 0 = c*q + 4*j - 546, q = -2*q + 2*j + 779. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - a = 3*a - 3198, -16047 = -5*t - a. What is the thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -358218, -10, -3 in decreasing order.\nAnswer: -3, -10, -358218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -4*s - 8, -5*u + 4 = -s + 2. Let v = 5 + u. Suppose -2*w = -t + v, 5*w + 36 = 3*t + 6*w. 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 the remainder when 1462 is divided by 339?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 7 - 32 = 0. Sort -1, 0, q in descending order.\nAnswer: q, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139.5, 5, -81 in ascending order.\nAnswer: -139.5, -81, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 438, -3, 46, 1\/10, 2 in decreasing order.\nAnswer: 438, 46, 5, 2, 1\/10, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 22\/(-6) + ((-115)\/(-345))\/((-2)\/(-18)). Which is the second biggest value? (a) q (b) -8 (c) -129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 3772?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000110110100000001 (base 2) in base 5?\nAnswer: 33240144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 8:24 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 7*h + 4. Suppose 4*l - 43 + 127 = 0. Let x = l + 26. Suppose -2*m + 0 = 3*d + 5, -x*d = -2*m + 19. What is r(d)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 87 + -106.9. Let x = j + 20. Let q = 5910 + -5910.3. Which is the second biggest value? (a) 0.4 (b) 0.2 (c) q (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1304*(30\/15 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314086807?\nAnswer: 73, 601, 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 177, 14, 15, -6, -2, 1 in ascending order.\nAnswer: -6, -2, 1, 14, 15, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 350 divided by -6\nAnswer: -175\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1308 + -3?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a**2 - 7*a - 6*a + 2*a - 61*a**3 - 3*a**2.\nAnswer: -61*a**3 + a**2 - 11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 572301478 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162729.\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 29 = 8*u. Put u, 18, 3, 5 in ascending order.\nAnswer: 3, u, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2464520 divided by 1232260.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 6) in base 11?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 5 (b) 0.25 (c) -8 (d) 0.3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -8 + 6 + 13 + -15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -21, -23\/27 in ascending order.\nAnswer: -21, -2, -23\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g. Let w(o) = 30234*o + 6. What is w(s(r))?\nAnswer: -60468*r + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 8*m**2 + 6*m - 6. Let x be c(-7). List the prime factors of -1 + (20 + x - 2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.02577.\nAnswer: 0.07731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**5\/20 - j**4\/12 - j**3\/6 + j**2\/2 + 3*j. Let a(u) = u - 2. Let z be a(4). Let d be t(z). Solve -6*n = -d*n - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2203?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -11.5. Sort 4, s, -7 in ascending order.\nAnswer: -7, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/1)\/(-2 - 11\/(-4)). Let u(r) = -8*r**3 - r**2 + 4*r + 14. What are the prime factors of u(w)?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6577 - 646 - 6469 = -111*r + 3291 for r.\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 221 (base 3) to base 16\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -217*u**6\/40 - u**4\/4 - 7*u**3\/6 + 246*u**2. Find the second derivative of c(p) wrt p.\nAnswer: -3906*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/6 (b) -0.298 (c) -4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225 and 1835550?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.70995 millennia in centuries?\nAnswer: 7.0995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*x - 40*x + 212 = 0. Solve 0 = -z + 2*i + 13, 5*z + 5*i = -12 + x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -4302075 in decreasing order.\nAnswer: 2, -4, -4302075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 49*z**2. Let a(f) = -3*f**2 - 2*f. Give a(t(b)).\nAnswer: -7203*b**4 - 98*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2948 - 2701. Calculate the highest common divisor of 364 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g*p**5 + 4*g*p**4 - 4*g*p**2*y - g*p*y - 3*g*p + 4*p wrt p?\nAnswer: 40*g*p**3 + 48*g*p**2 - 8*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15446 + -15242. What is the greatest common divisor of h and 5253?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 14*i**2 - 8*i - 376. What is p(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**3 - 3*c**2 - c - 2. Let s be n(-2). Let k = -190 - -341. Suppose 0 = 4*i - k - 49. Calculate the highest common divisor of i and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5714, 5777, 5858, 5957, 6074, 6209?\nAnswer: 6362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26828203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 - 27. Let d be 6*1*(4 - 3). What is the highest common divisor of u and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.26 or -57\/61?\nAnswer: -1.26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2244*39.91\nAnswer: -89558.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 55*w - 2. Let y(h) = 2*h. Determine y(v(a)).\nAnswer: 110*a - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 942*g**4 + 2*g**2 + 23*g - 67 wrt g?\nAnswer: 11304*g**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 2*l + 5*w, -3*w = 4*l - 0*l - 183. Suppose -3*f = -2 - 28. Suppose -5*b + f*b = 110. What is the remainder when l is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1427 - -24?\nAnswer: -1403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 651 and 224.\nAnswer: 20832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103 + 132. Which is smaller: 22 or n?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*x - 2*f, 25*x + f = 26*x - 1. Let u = 93 + -377\/4. What is the nearest to x in 0, -0.1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158 - 158 + 42*s.\nAnswer: 42*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3258936 by 6.\nAnswer: 543156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + -8. Let v = x - 8. Let s = 29.974 + v. Round s to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 28*s + 20 = 24*s, -s - 29 = 4*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(6\/11)\/r*r)\/r*r*(((r*r\/(((r\/r**2*r)\/r)\/r))\/r*r)\/r*r)\/r)**(-9\/8) assuming r is positive.\nAnswer: r**(-351\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 11*g**2 + 31*g + 19. Let y be w(-5). What is the greatest common factor of 434 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(3\/6 + 0). Let m(p) = p**c + 5*p - 2*p + 3*p + 2*p. Give m(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5427.1594 to the nearest 10.\nAnswer: 5430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 127 (c) 4 (d) 5633\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (3 + -4) - -13) + 8.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 465.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/22167552 and -29\/3117312.\nAnswer: 199507968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5135 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 30 = 2*f. Let u(y) = f - y**2 - 6. Let b(c) = -c**2 + c. Let s(d) = -10*d**2 + 9*d. Let h(g) = -36*b(g) + 4*s(g). Determine h(u(i)).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 47. Suppose 4*o - l = -4*z, -z = 2*o + 6 - 15. Solve 0*c - 2*f - 12 = o*c, -4*c + 3*f - 32 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, z: 3, j: 10, w: 2}. What is prob of sequence wm?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**4\/4 - 5*r**3\/3 - r**2 + 5*r + 146. Determine q(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54797789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.5 (b) 0 (c) 328 (d) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6 = -2. Let x(w) be the second derivative of 2*w + 1\/10*w**5 + 0*w**o + 0 - 1\/2*w**2 + 0*w**3. Differentiate x(b) with respect to b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 2*l = 7*l + 4, -5*l - 10 = -5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (315\/5 - 2) + -2 + 1. Let h = 60 - x. Solve 6*k - k + 15 = h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from swshststtsswsstsks. What is prob of picking 2 w and 2 s?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v - 29*v + 0*l + 19 = -4*l + 5*l, -2 = 2*l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 343 + -73. Let b be 60 + (-2 + 1)*-2. Suppose 0 = 4*g - k - 287 + b, k = -5*g + r. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -84*n**3 - 11*n**2 - 11*n. Let l(x) = -17*x**3 - 2*x**2 - 2*x. Give -4*h(m) + 22*l(m).\nAnswer: -38*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -616, -612, -606, -598?\nAnswer: -588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w + 3*g + 288, -g = -2*w + 197. Let p be (2\/1)\/((-16)\/(-40)). Suppose 0*x + 5*v = -2*x + w, -p*x = -v - 239. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**6\/120 + b**5\/6 - 17*b**4\/24 + 4*b**3\/3 - b**2 - 44*b - 1. Let a(c) be the second derivative of f(c). Solve a(z) = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 783?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-18)\/21 - (-36)\/14*9231\/153. What is w in -m*w + 48600\/7 + 6\/7*w**2 = 0?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -7\/2, 1.3 in ascending order.\nAnswer: -7\/2, 1.3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 10:35 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.44 + 2841165069.\nAnswer: 2841165068.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 477 - 477.1. Let w be 0\/(-3) + 3 + -1. Let d be (0 + w - 1)*0. Which is the nearest to -1? (a) -0.2 (b) d (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 145\/6 + 1\/(-6). Suppose -3*r - n = -3*y + 21, -66 = -5*y + 2*r. Suppose 3*d = 3*w, y = 7*w - 2*w - d. What is the highest common factor of 33 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.2 + 3.211. Round p to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, j: 6, c: 2}. What is prob of picking 1 j and 1 c?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1387252 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1889*s*x**3*y**3 + 2*s*x**3*y + 817*s*x**3 - 27*s*y**2 - 9560*x**3*y**3 + 12*x*y + 1 wrt y?\nAnswer: 11334*s*x**3 - 57360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9d67cb5 - 0?\nAnswer: 9d67cb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 59*p + 3246. What is the least common multiple of z(-54) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8b82 - -11711?\nAnswer: 474b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3)*(-41)\/((-3280)\/280).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2434 + -2431. Let f = 3.9 + 13.1. Are v and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**4 - 2*l - 8*l**3 + 378*l**2 + 2 + 3*l + 17*l - 377*l**2 - l**4 to the form x*l**3 + f + c*l**2 + b*l + o*l**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-198)*1248\/(-2288)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27f8b (base 16) to base 9\nAnswer: 268524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 8. Suppose -f*d + d = 2*m - 37, 4*d - 4 = m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a factor of 628320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265 - 531 + 288 - 3138*u**2 - 705*u**2.\nAnswer: -3843*u**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.4 + -2.91. Let m = -3.51 - r. Which is the third biggest value? (a) 3 (b) -1\/7 (c) 3\/8 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177 (base 15) to base 3.\nAnswer: 110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3035 = -60*c + 237*c + 3007 - 1263 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h - 68*h = -59670. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a**2. Let g(y) = 3*y. Let s(v) = -1 + 5*v + 1 - 6*v. Let r(f) = -3*g(f) - 6*s(f). Give r(j(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/36 and 107\/54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13429 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(11) + sqrt(11) + sqrt(11))*-6 + (sqrt(66)*-3)\/sqrt(6))*1.\nAnswer: -21*sqrt(11) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42514, 42055, 41606, 41167, 40738?\nAnswer: 40319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -3391*x + 50872. Calculate r(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + t + 42. Let m be r(0). Does 20 divide m\/(-4)*(-40)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o - 1. Suppose -h = -5 - 7. Let f(k) = k**2. Let x(l) = 6*l**2 + 3*l + 3. Let m(z) = h*f(z) - x(z). Calculate -m(t) + 3*p(t).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/4339 + 438167\/78102. Let q = -3\/61 + 5319\/244. Calculate the common denominator of q and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -4*x + 7. Suppose -3*o + 0*j + j - 5 = 0, -7 = 5*o - 3*j. Let c be o\/3 + 92\/3. Calculate the highest common factor of c and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 + 70. Suppose -3*w + 63 + 99 = 0. Suppose 3*u + 4*y - 35 = 0, 3*y = -m*u + 5*y + w. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63178034?\nAnswer: 2, 31589017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33.6 - -33.5452. Let y = s + 0.05703. Round y to four dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -8. Suppose 3 = 3*o + l. Is 11 a factor of 2*(33\/(-2))\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**29*o**(-1\/2))\/(o**(-2\/23))**(-28\/9) assuming o is positive.\nAnswer: o**(11687\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-21))\/((0 + (-16)\/140)*(-484)\/(-1936)).\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 439 and 9341042.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*j + 18*j + 1 - 29*j + 4*j**2 + (-2*j**2 + 2*j**2 + 2*j**2)*(-5 + 4 + 2).\nAnswer: 6*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from vmqvmhvmqm.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**8\/(a\/a**(2\/11))*a\/(a**(-8)\/a)*a**0\/a*a assuming a is positive.\nAnswer: a**(189\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3103024 + 31?\nAnswer: -3102773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -79*a**2 + 2*a**4 + 2*a - 271*a**3 - a - a**4 + 269*a**3 + 610*a**2 in the form y*a + j*a**4 + m*a**2 + n*a**3 + r and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 53*p - 12. Let i be y(5). Let v = i + 3247. Round v to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.8 - 0.346142.\nAnswer: -12.146142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 111 + -109. Suppose -k - 5131 = -5*f, -c = -2*k + 6. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/45 - 2\/(-6). Let f = 14.74 + -15. Is v > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 3:09 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 23 = -5*t + 1, 5*t - g - 26 = 0. What is the nearest to -0.1 in 0.1, t, 0.5, -3\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in fifty-one sevenths of a week?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 3*j**2 - 2*j + 1. Let i = -4 - -6. Give n(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 9*r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.3, 5, -2, 1\/7, -78, 3719, 2 in decreasing order.\nAnswer: 3719, 5, 2, 1\/7, -1.3, -2, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 5*i + 5*u + 19, -2*i + 19 = 3*u. Suppose -y + i*y = y. Solve y = -3*m - 12 + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 - (3 + -24 + 12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**3 - 222*k**2 - 8. Let o be h(-74). What is the nearest to 0 in -5.84, o, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -9*w. Let c = -42 + 70. Suppose 2*d = -2*y + c, -2*d - d + 44 = 5*y. Let j(z) = -d + 13 - z. What is r(j(x))?\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 21. Suppose 2*h - 32 = -x. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 66.3, -3\/5, 131, 12 in decreasing order.\nAnswer: 131, 66.3, 12, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/42869 and -149\/8802?\nAnswer: 2314926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 8*y = -3*y - 14, -4*x + 10 = -3*y. Solve x*h - 5*i = -h, -5*h + i + 12 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**4\/28 - 2*v**3\/7 + v**2\/2 - 56. Factor m(o).\nAnswer: -o*(o - 1)*(o + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291*o**3 - 255*o**3 + 83*o**3.\nAnswer: -463*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57 + -53. Suppose -4*z = -3*z + 4*u - 5, 0 = -2*z - i*u + 2. What is the nearest to 0.1 in 1\/4, -2, z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 984361.9387334.\nAnswer: 984362.3387334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -39, -6 in increasing order.\nAnswer: -39, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -783, -1148, -1547, -1998, -2519, -3128, -3843?\n\"Answer: -3*i**3 + i**2 - 347*i - 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/9))\/j*j)**(1\/23)\/(j**(-1\/11)*j**(1\/26)) assuming j is positive.\nAnswer: j**(6251\/59202)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 4:16 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6422.7 + -6422. Which is the second biggest value? (a) -4 (b) w (c) 0.1 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 25. Suppose 11*f = 4*f - i*f. Solve l = u - 3, 2*u + f*u = -2*l + 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, c: 1, p: 4}. Give prob of sequence jj.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*c*k**5*m + 4089*c*k**3*m + 3*c*k**2*m + 3*c*m + 1285*k wrt k.\nAnswer: 2340*c*k**2*m + 24534*c*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8278487099?\nAnswer: 8278487099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 139487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p + 26. Let y be d(3). Suppose y*g = 21476 + 18354. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 6*d**2 + d + 8. Let j be h(-6). Let q = j + -2. Suppose -24 = -q*b - 2*b - m, 5*m + 36 = 2*b. Calculate the remainder when b is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79188 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -105*i**2 - 254*i - 255. What is z(-1)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8\/7 (b) -0.2 (c) 682 (d) 0.2 (e) -3\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -16 - (-23 + 4 + -1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*-1*0\/42. Sort a, 1, 8 in ascending order.\nAnswer: a, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -7.9. Let z = -4.981 + 3.681. Which is the nearest to s? (a) 2 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/780 and -53\/546?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 21. Suppose -21*t + 22 = -41. Calculate the lowest common multiple of 3 and a(t).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 603 in decreasing order.\nAnswer: 603, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 7*t**2 - 4*t + 10. Let j be u(7). Let w be ((-4)\/j)\/((-6)\/(-9)). What is the biggest value in 0.2, -4\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -11 + (-465)\/(-217)*-21\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -5, 5, -4, 117, -8, -17 in descending order.\nAnswer: 117, 5, -4, -5, -8, -17, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/6)\/y**7)\/(y**25\/y)**34 assuming y is positive.\nAnswer: y**(-4939\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1720 and 41372880?\nAnswer: 41372880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 y when four letters picked without replacement from {p: 1, a: 4, t: 7, y: 2, o: 3, e: 1}?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.16 from -90.2223825.\nAnswer: -96.3823825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2324, 4675, 7026, 9377?\nAnswer: 11728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84314811?\nAnswer: 3, 7, 1481, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**3\/3 - 154. Let f(d) = d**2 + 1. Let c(j) = 2. Let m(n) = c(n) - 2*f(n). Determine u(m(r)).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g + 1820 = 1796. Which is greater: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 7339981.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 6:09 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 n when three letters picked without replacement from {n: 4, b: 5, g: 1, z: 5}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3203 + y - 5631 - 17441 - 2*y in the form c + t*y and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 48*g. Let d(a) = 5708*a + 5702*a - 11422*a. Give 18*d(u) + 4*n(u).\nAnswer: -24*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 6:22 AM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0063819515 to 5 decimal places.\nAnswer: -0.00638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3133251071 and -24?\nAnswer: 3133251047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13811419?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 1 - 1 - 1 + 6*o. Let w be h(-7). Let j = 9 - 1. Solve 0*a - w*a = j for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -583\/3, 0.3, -0.3, -1\/2, 2\/5, -1\/5, -2?\nAnswer: -583\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-75 - 172 + 49)*(-3*i + i - 8 + 5) to c + m*i and give c.\nAnswer: 594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2863481 at most -2863484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81466?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 29*i**2 + 9*i + 92. What is b(-6)?\nAnswer: -790","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -583064 divided by -59\nAnswer: 583064\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 + -81. Let y(h) be the first derivative of -3*h**2 + 4 + 0*h**3 - 4*h + 5\/4*h**4. Let v(n) = 11*n**3 - 13*n - 9. Determine o*v(q) + 13*y(q).\nAnswer: -q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 125, -4, 4, 54, -5 in descending order.\nAnswer: 125, 54, 4, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.3 and 0.2.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j + 5. Let s(v) = -v**2 - v. Let y(c) = c**3 - c**2 - c + 1. Let u(f) = -s(f) + y(f). What is the least common multiple of 2 and u(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, q: 2, t: 13, z: 2}. What is prob of sequence qzzq?\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*u - 17 = -10*b, -12 = -4*b + 4*u. Suppose -7*f - 6 = -5*r - 3*f, -5*f = -b. Suppose -2*n + 49200 = r*n. Round n to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*j - 3*j. Suppose j = -9*h + 10*h. Is -2\/519 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1302 to 3 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -630064 (base 8) in base 12?\nAnswer: -a0b04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32563 != 32563?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -17*o**3 + 4*o**2 + 2*o - 2. Let k be d(-1). Suppose -k = -3*j + 10. Suppose -4*x + j = -x. Solve 4*m - 2*m + 9 = -x*g, 3*m - 3 = g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11849 and 17629?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-8)*p\/p**(6\/19)*(p**7)**(2\/45) assuming p is positive.\nAnswer: p**(-5989\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30\/13 or -10\/511563?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 19 - 10. Suppose j*i - 2*a = 3443, 3*i - 5*a = -2*a + 3438. List the prime factors of i.\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(245) + -1*sqrt(245) + sqrt(245) + sqrt(245))*-4)**2.\nAnswer: 392000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-45)\/(-36)*4)\/1. Suppose -4*i - 16 = -3*x, -k*i - 7 = 3*x + 13. Solve 7*p + x*p = 28 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -8. Let w(n) = 13*n**2 + 3. What is the remainder when w(-2) is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 531 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 522*f - 55. Determine j(-2).\nAnswer: -1099","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1113 is divided by 132?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 394919385 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1336 and 255844?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 74.62 and -7662659?\nAnswer: 7662733.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2812 is divided by 2812?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4605 + -1?\nAnswer: 4604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11429 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 275 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 5*p = 0, p - 7 = 2*w + 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -432*d - 150504. Calculate m(-348).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**3 + 91*p**2 - 282*p - 741. Give h(42).\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eebehebphbhehhphheee. Give prob of sequence eh.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-4))\/(8\/(8\/(-1)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**8\/672 + d**7\/20 + 97*d**6\/240 - 11*d**5\/8 - 121*d**4\/24 + 449*d**2. Suppose n(l) = 0. Calculate l.\nAnswer: -11, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -113*l - 7. Let i(d) = 113*d + 5. What is -3*i(j) - 2*u(j)?\nAnswer: -113*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2436.1 + 3081. Round h to the nearest ten.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + 5*((sqrt(1539) - sqrt(1539)*3)**2 + sqrt(1539)))*5 + ((-1*sqrt(1539) - sqrt(1539))*-6)**2 + (-1*sqrt(1539) + -1)**2.\nAnswer: 288*sqrt(19) + 377056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/((m\/(m\/(m\/((m\/m**2)\/m))*m))\/m)*m*m*m*m*m)**2\/(m**0)**(-5\/6))\/(((m*m\/m**0)\/m)**(-47))**(-2\/5) assuming m is positive.\nAnswer: m**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*b**2*s**2 + 17*b**2 - 7*b + 3*s**2 wrt s?\nAnswer: 18*b**2*s + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + h - 18. Let z be v(-11). Let u be (-25)\/z - 4\/6. Which is the smallest value? (a) 17 (b) 1\/7 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z = 5*v + 3*z + 20, 4*v + 16 = -3*z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1958.4 + -1958. Suppose 134 = 8*j + 22. What is the second smallest value in -0.3, 0.5, j, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*c + 112*c + 2170 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2719.4 - -2719. Put 29\/5, z, -0.3 in descending order.\nAnswer: 29\/5, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-58)\/1044)\/((-48)\/1008)\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**2 - 150*n + 1612 = 0 for n.\nAnswer: 13, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4*p**2 + 4 + 6*p**2 - 4*p**2 - 4*p**2 + (-1 - 1 + 1)*(p + p**2 - p))*(-p**2 + p - p)*((1 + 0 - 2)*(3 - 5 + 5) + 5 - 3 - 3)*(-3 + 0 + 2).\nAnswer: -4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*w**2 + 38*w**2 + 17*w**2 + 28*w**2.\nAnswer: 58*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 53 - (-110 - -80).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6221*i - 6240*i + q = -132, 0 = -4*i - q + 29 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uo when two letters picked without replacement from {u: 3, o: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 39?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 1. Let t be (-20)\/(-6)*(-24)\/(-5). Let g(v) = 2 + 6*v - 2 - 6. Let f(i) = t*w(i) - 3*g(i). What is the derivative of f(h) wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -9*v - 1. Let z = 48 + -51. What is the units digit of i(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 52.\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - ((-1)\/2)\/(1\/6). Determine d, given that -775 + 775 + z*d - 4*d**2 + 2*d**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182791216 to the power of 1\/2, to the nearest integer?\nAnswer: 13520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79, 1, -3, -5, 5 in decreasing order.\nAnswer: 5, 1, -3, -5, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.5 - -3.7. Let n = -68 + 68.03. Sort -4, m, 3, n.\nAnswer: -4, n, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 148 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/9 in -2, -0.5, -17, -7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (708\/826)\/((-3)\/(-7)). Factor 36*l - 14*l + 3*l**f - 30 - 15*l + 2*l.\nAnswer: 3*(l - 2)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -55c97a + 1?\nAnswer: -55c979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 12*u**2 + u + 13. List the prime factors of z(-11).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - i**2 - i. Let h be f(2). Let n(j) = j**2 + 10*j - 14. Let z be n(-12). Sort -2, h, z.\nAnswer: -2, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 14.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5 = -r - 3*s, 0 = 3*r - 2*s - 4. Factor 27 - r*h**2 - 27 + 6*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 85*f - 21 in the form l*f + h and give l.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -2, -37\/11, 2, -2\/3, -3 in descending order.\nAnswer: 2, -1\/3, -2\/3, -2, -3, -37\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.17 - -1.17. Which is bigger: b or -6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2068b0 (base 15) in base 7?\nAnswer: -16045416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + g + 17. Suppose 27*k + 0*k - 135 = 0. Calculate a(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f - 76. Determine a(11).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 3*a**2 + 5*a - 3. Let d be m(3). Let k = -7 + d. Suppose 0 = -2*n + 4*h + 60, 0 = -n + k*h + 23 + 19. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6\/23 + -41\/69. Let q = -9 - -8. Which is the nearest to q? (a) i (b) 1\/3 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5712 in -269, 1, -1?\nAnswer: -269","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + b**2 + b**2 + 2*b - 1. Let v be w(-2). Let f = -3 - -7. Put -2, v, f in ascending order.\nAnswer: -2, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2. Let y(f) = 2439*f. Determine x(y(i)).\nAnswer: -11897442*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**4 + 147*w**3 + 1512*w**2 + 3132*w = 0.\nAnswer: -6, -3, 0, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -6*v - 2. Let i(b) = -2*b. Let c(q) = q. Let g(x) = 3*c(x) + 2*i(x). Calculate -5*g(o) + t(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(25\/(900\/27))*39\/4\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -302*m**2*u**2 + 2*m**2 + 5*m*u**2 + 419*u wrt u.\nAnswer: -604*m**2 + 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 1:12 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10427851253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 188 divided by -13\nAnswer: -188\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 8*i**2 - 2*i - 11. Let v be a(-8). Suppose 6*t = t + v. Calculate the lowest common multiple of 18 and t*15 - (-2 - -3).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 6:13 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23120*q - 342 = -23139*q. Let d be 3\/5 - (-174)\/10. What is the greatest common factor of d and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1\/36))\/l)**(3\/7) assuming l is positive.\nAnswer: l**(1\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.15 - -19.05. Which is the nearest to -1\/4? (a) -3 (b) 3 (c) -19 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c + 93*c**2 - 178*c**2 - 6*c - 4*c + 87*c**2 + 3 as s*c + v*c**2 + b and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236657.\nAnswer: 17, 13921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10450 + 10450.1. Put r, 134, 5, 1 in decreasing order.\nAnswer: 134, 5, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 - (30 + -19 - ((-1 - -8) + -6 + -1))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -696, -2506, -5428, -9462?\n\"Answer: -556*l**2 - 142*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 1. Let r be (-2)\/(2*f\/(-4)). What is the closest to 0.5 in -2, r, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, 0.02, 4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23.2 + -23. Let q be (0 + 2)*90\/(-20)*(-8)\/54. Which is the nearest to -1? (a) i (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + -3 + -9 - 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 708 divide 79798243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**2\/5 - 19043214*c - 453304999312245 = 0.\nAnswer: -47608035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 785, 489, 133, -313, -879, -1595, -2491, -3597?\nAnswer: -4943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 174 + -174.1. What is the second biggest value in 4, i, -1.6, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -abe4 - -1?\nAnswer: -abe3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 7. What is the closest to -0.2 in y, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**2 - 2*q**2 + q**2)*(-3*q**2 - 10*q**2 - 3*q**2 + 5*q**2).\nAnswer: 66*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 6*w**2 + 6*w + 9. Let h be o(7). Suppose m - 1 = h. Suppose m*l = -2*l + 5. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*o**3 - 3036*o**2 - 29*o - 8202140 wrt o?\nAnswer: 27*o**2 - 6072*o - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1320\/7 - 10539\/56. What is the biggest value in 0.3, 5, 0.5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 0 (c) 49\/5 (d) 2382\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3243347381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2251 = -r, -922 + 361 = -p - 2*r. Calculate the remainder when 1700 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 25076677.\nAnswer: -75230031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.7 + 4. Let q = h + -16.3. Let k = q - -17.000072. What is k rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108481 = 23*t - 143993 - 147703. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 1625.62.\nAnswer: -812.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2947156357?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 5*a - a)*(-26*a**2 + 932 - 932) + 6*a**3 + 4*a - 4*a + a**2 + a**3 - a**2.\nAnswer: -97*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*j**3 - 37*j**3 + 30 - 14 - 16.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkrrrrirrkkik. Give prob of picking 1 r and 1 i.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 116, -924, 3, 1, -60 in descending order.\nAnswer: 116, 3, 1, -60, -924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -144328 to the nearest one thousand.\nAnswer: -144000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 2916757.3 to the nearest one thousand.\nAnswer: 2917000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.35 + -2.65. Let m = -0.3 - -0.5. Which is the second smallest value? (a) m (b) -0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - k + 11 = 0, 0 = 3*k + k - 12. Let u(g) = g**3 - 12*g**2 + 9*g + 24. Calculate the remainder when h is divided by u(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 1480 = 427. Calculate the least common multiple of v and 24.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 6*y**2 + y. Let t be z(6). Let u be 2\/(-3) - 66\/(-18). Suppose -5*j + t = -u*j. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245230 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*d - 31*d + 2 - 125*d**2 + 20*d.\nAnswer: -125*d**2 - 47*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -1554, 0.67?\nAnswer: -1554","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k**3 - 505*k**2 - 2*k - 4. Let j(t) = 5*t**3 + 1010*t**2 + 4*t + 9. Give 4*j(h) + 9*r(h).\nAnswer: 2*h**3 - 505*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -249 - -257. Let v be 2\/(-7) - (-16)\/7. Suppose -3*p = v*p - 40. What is the greatest common divisor of c and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d. Let y(t) be the third derivative of -103*t**5\/60 + t**3\/6 - 928*t**2. What is y(s(b))?\nAnswer: -412*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 2 (c) 4\/3 (d) -2 (e) 8150\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c - 26. Let j(r) = 19*r - 110. Let l(q) = j(q) - 4*s(q). Let z = -2 + 2. Give l(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 10:32 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-20349)\/(-1575))\/(2176\/640)\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-16)\/40*1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1005?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - -0.44. Let v = 29.105 - 34.105. Which is the smallest value? (a) v (b) w (c) 1 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -131037*h**2*t**3 + 2*h**2 + 2*h*t**2 - 2*h*t - 89*t**3 - 591619 wrt t.\nAnswer: -786222*h**2 - 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 156*j**2 + 31 + 27 - 142*j**2 + 52 to the form q + u*j**2 + r*j and give q.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -47, -122, -257, -470, -779, -1202?\nAnswer: -1757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 5:11 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -f - 3*c + 16, f + 4*c - 17 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**0\/b)\/b*b\/(b\/(b\/b**5*b*b*b)))\/(b**(-1\/3)\/b*b\/(b\/b**(-16))) assuming b is positive.\nAnswer: b**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h + 76 = 18*h. Let w(v) be the third derivative of 0 - 1\/2*v**4 - 3*v**3 + 0*v + 2*v**h - 1\/30*v**5. Find a, given that w(a) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 876080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.21672421 rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -1. Let d = 5 - 2. Suppose 0 = -8*s + d*s - 10. Which is the closest to t? (a) 2\/5 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31329 is divided by 173?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(143))\/sqrt(11) - ((sqrt(468) - sqrt(13)) + 2)) + 2 - (sqrt(208)*2 + 5 + (sqrt(208) - (3 + -1 + sqrt(208) - sqrt(208)))))**2.\nAnswer: 84*sqrt(13) + 2557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1075*x**4 + 6*x**2 + 4*x**2 - 1041*x**4 + x**3 - 2*x - 1653*x**4 - 11*x**2 as a*x**2 + u*x**3 + k + j*x**4 + h*x and give j.\nAnswer: -3769","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5600 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2\/(-8) - (10411540\/(-80))\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9, -1, -11?\n\"Answer: -10*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -10, -3, -2, 2, -442 in increasing order.\nAnswer: -442, -10, -3, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31893140 is divided by 363.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(20))**2*-6.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8271 - 1512. Is 193 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - 1.9. Let c = 1568 + -1579. What is the closest to x in 0.2, -2, c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/(-14))\/(0 - (-3)\/21). Let f = u + -8. Solve f*x - 11 = 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/11649301 and 45\/346?\nAnswer: 23298602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ouqoo.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -143\nAnswer: 28.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*r + 4*r = -4, 3*z = r + 4. Suppose z = 10*m - 5*m - 15. Differentiate -y - 12 + y + 2*y**m wrt y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -28, -24, -24, -28?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**5 - 138*q**4 + 4707*q**3 - 50818*q**2 + 214656*q - 312480 = 0 for q.\nAnswer: 4, 7, 30, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*g - 226 = -36. Put 2, g, 3, 3\/7 in increasing order.\nAnswer: g, 3\/7, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 7. Let v(w) = -w**3 + 7*w**2 - 4*w. Let x be v(6). Suppose -r = o - x. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -0.5 (b) 0.5 (c) -0.06 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7 = 1. Sort 4, 1, o.\nAnswer: 1, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/((-375)\/(-1194)) + (2 - (-832)\/(-400)). Suppose -r - 70 = 4*r. Which is greater: h or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 34 - (49 + -45)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 + 77. Suppose 1 - 45 = -4*p. Suppose -4*x + 3 = p. Put j, -3, x in decreasing order.\nAnswer: j, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7733*i - 4 + 15*i**2 + 7732*i - 15466*i to the form g*i + u + y*i**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -11 + 0*s - 1 - 5*s + 0*s. Let c(h) = 27*h + 48. Let j(i) = -5*i - 9. Let a(t) = 2*c(t) + 11*j(t). Calculate -18*a(l) + 4*u(l).\nAnswer: -2*l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 152 + -143. Suppose -7*q = -d*q - 14. Let b(t) = -10*t - 3. Let z(l) = l. Let y(f) = 2*b(f) + 18*z(f). What is y(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -7*s**5\/20 + s**3\/6 + s. What is the second derivative of d(c) wrt c?\nAnswer: -42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.1535 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (0 - ((6 - -16) + -14)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 932 and 9371726.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 35102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 36*b**3 + 27*b**2 - 15*b + 15. Let r(g) = 5*g**3 + 4*g**2 - 2*g + 2. What is -2*i(n) + 15*r(n)?\nAnswer: 3*n**3 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 6. Let f be n(-5). Let v be (3\/(-3))\/(f\/(-9)). What is the remainder when (228\/v)\/((-6)\/(-9)) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 11*m - 11. Let h be o(5). Suppose 0 = -4*c - 0*c - h. Let r = c + 14. Solve 5*f = r*z, -5*f + 29 - 9 = z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -301435566 (base 7) to base 10\nAnswer: -17488491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/553 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 0 - 1\/4*y**4 - 1\/6*y**3 + 0*y + 5*y**2. Suppose 4 = -5*u + 9. Determine f(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 4*z**2 - 199*z - 847. What is m(18)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3382121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37 - 37 + 73*k + (0*k - 3*k - 2*k)*(4 - 5 + 2).\nAnswer: 68*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125983 and 156?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -125 + 7. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1 + g + 1. Let s(r) be the second derivative of -r + 0*r**2 + 0 - 1\/6*r**3. Determine s(v(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (2061 + 1048 + 632 - 359)*(3*o**2 + 23 - 23) as t*o**2 + u + b*o and give t.\nAnswer: 10146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + 72 - -27 - 68?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21010 (base 3) to base 8.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -11. Let x = -7 + i. Calculate the remainder when (2 + x)*18\/3 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*b = -2*h + 91*b + 1, 0 = 2*h - 3*b - 3. What is the third smallest value in 123, h, -2, -2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(96) - sqrt(96)*-1) + sqrt(96) - sqrt(96) - sqrt(96) - sqrt(96)))\/(sqrt(8) + 3*-2*sqrt(8) + 2*sqrt(200) + sqrt(200)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-5*(-4*(1 + sqrt(847)) - (5 + sqrt(847) + -1)) + 3)**2.\nAnswer: 558250*sqrt(7) + 13275584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*h - 20, 3*i + 4*h - 10 = -0*h. Let k = -55 - -75. What is the least common multiple of i and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 19 + -12 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 184\/(-768)*6*848\/(-53)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k - 23. Let x be p(-7). What are the prime factors of (x - 28) + (0 - -2) + 1320?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkoooo. Give prob of picking 3 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11000141 + 131?\nAnswer: -11000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 18 = 2*z + 4*a, 2*z - 5*a = -3. What is the highest common divisor of z and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, c: 4}. Give prob of sequence yyc.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/214335 and -76\/3405545.\nAnswer: 30649905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5870 - 6881. Is j smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1702 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22905319 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 110\/27 - 104\/27. Let g(f) be the third derivative of 0 + 6*f**2 + 0*f + 1\/18*f**4 - t*f**3 - 1\/180*f**5. Factor g(i).\nAnswer: -(i - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is bad - 0?\nAnswer: bad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k + 2*i = 23*k - 118502, -4*i = k - 29648. List the prime factors of k.\nAnswer: 2, 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*p + 3*p - 4*p + 140 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-950)\/57)\/(60\/72).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75698?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y + 5. Suppose q - 12 = -5*i, 30 = 3*q - 2*i + 11. Let c be s(q). Let j be c\/4 + (-5)\/20. Calculate the greatest common factor of j and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -14. Suppose 3*k = -2*q - 15, 0*k = -q - k - 8. Is z greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 79 = -5*i, 5*i - 5*v - 59 = -4. Let y(t) = 9 - 4 + 12*t - i. Let p be y(-3). Round p to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 13*f - 3)*(3 + f - 3)*(0 - 4 + 0).\nAnswer: 52*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 0*j + 1\/2*j**3 + 1\/60*j**5 - 9 + 1\/6*j**4 + 7\/2*j**2. Let n(k) be the second derivative of b(k). Factor n(y).\nAnswer: (y + 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (94*h**2 - 209*h**2 + 87*h**2)*(6 + 3 + 10) as d*h + k + o*h**2 and give o.\nAnswer: -532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5468 (base 14) to base 7.\nAnswer: -60361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10515 + 7812 + 5626 + 685*h**2 with respect to h.\nAnswer: 1370*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35.32 + 1.32. Let c = b - -32. Let r = -4.8 + -0.2. Sort c, r, -0.1.\nAnswer: r, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2457 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: In base 8, what is -1631 - 1?\nAnswer: -1632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.48 and 4505.\nAnswer: 2162.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -12 (b) 1.9 (c) 12 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1180, 2334, 3464, 4570?\n\"Answer: -12*n**2 + 1190*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 892*y**5 - 36*y**2 + 1?\nAnswer: 53520*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118 - 40. Is 16 a factor of -1*(-2 + 0)*(m + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8*v - 92 = 3*o, 2*v - 5*o - 52 = 0. Let m(b) = 13*b + 2*b**2 + v + 14*b + 0*b. Let k be m(-13). What is the highest common factor of 9 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61417 - 188553 = -5*j. Suppose 3*k = -5*z + j, -k + 24269 = 3*z - 5729. Round z to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134 divided by -258474\nAnswer: 67\/129237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 40556117 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -2\/8783, 0.1, -3, -2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*n + 32 = 36*n. What is the lowest common multiple of 22 and n?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q**3 - q - 1. Suppose -d + 12 + 5 = 0. Suppose 937 = -7*t + 986. Let h(j) = 5 + d*j**3 - t - 3 - 4*j. Determine 2*h(m) - 9*w(m).\nAnswer: -2*m**3 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 214 and 16.\nAnswer: 1712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 147 = -6*k + 3*k, -4*k = -2*q + 202. Let i be (-4)\/26 - 8\/k. Solve i = -x - 2*v - 1, 0 = 4*x - 0*x + 5*v + 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 51*b**3 + 4*b**2 - 5*b + 5. What is the hundreds digit of j(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 495 = 5*c. Calculate the highest common factor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 77072853?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*d = 2*h + 129*d - 36, 0 = 4*h + 2*d - 66. Calculate the smallest common multiple of h and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23.2 + -23. Which is the closest to 0? (a) 5 (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, r: 4, o: 3, w: 1, u: 2}. Give prob of picking 2 g and 1 r.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2 - 7553 + 7540 + 3*w + 3*w**2. Let b be s(3). Solve b*m - 2*m = 5*f + 40, -2*f - 3*m = -5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 98*o + 1306. Give y(-14).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -38*k - 147. Let x(j) = 9*j + 37. Let q(f) = 2*t(f) + 9*x(f). Let r be q(-3). Solve -3*h + r = -2*v + 2, -v - h = 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 11:54 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 21 = -33. Let h be (-5)\/(10\/4) + 22. What is the remainder when (-8)\/h + (-57)\/(-5) is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmx when three letters picked without replacement from mzmxzxzzzmmhzxxxx.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 152*f + f**2 + 2 - 1010*f + f as z*f + p + i*f**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -198398 divided by 19\nAnswer: -10442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -v - 2*v. Let u = 1 + v. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4359 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -64.95005313 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -4\/11, -0.25, 1663\/4?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) -2 (c) -12\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from dih.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 33*-1*(12\/16)\/((-1179)\/(-524))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -176358128 divided by 385904\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, p: 2}. What is prob of sequence tpp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 - 1)*(-5 - 30 - 22) + 1 + 0 + 1 + (-3 + 3 - 2)*(2 - 2 - 1))*(-t - 6*t - 3*t)*(2*t**2 - t**2 + 0*t**2).\nAnswer: -610*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 4:15 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3588 divided by 46?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*j**2 - j - 33 - 210*j**2 + j + 101*j**2.\nAnswer: -2*j**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4 - -2)\/((-36)\/168). Is (-629)\/(-2) + 78\/12 + y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4562324 + -4630723. Let f = t - -9193044.8000034. Let m = f - -2.2. What is m rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-243)\/(-135))\/(3\/(-4)*-2)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 878000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/((-308)\/253) - -11. Which is the nearest to 1? (a) u (b) -13\/5 (c) 1\/9 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 - 44. Suppose -j*x + 624 = -3*x. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 1920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 - 3*q**2 - 3*q + 2. Let j(y) = y - 2*y**2 + y**2 + 0*y**2 - 1 - 2. Let i be j(0). Is o(i) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 a, and 1 t when four letters picked without replacement from {b: 2, q: 2, t: 2, n: 1, a: 8}?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.286 and 1?\nAnswer: -0.286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1371.0769 + 3.35?\nAnswer: 1374.4269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11.32 and -34.8723.\nAnswer: -46.1923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -187b?\nAnswer: 1877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 + 4*y**3 - 39883802*y + 39883802*y.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + h + 5*l + 10 = 0, h - 4*l - 8 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*i + 17*i + 2 + 4, 20*a + 3*i - 100 = 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21107317703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 825063*r**2 + 2581984 wrt r.\nAnswer: 1650126*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 6*i**2 - 9*i - 4. Let h be f(-4). Let m be (12\/15)\/(h + (-6)\/(-30)). Solve v = 4*o + 16, 4*o - m*v + 2*v = -12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -24*m**2 - 2*m - 4. Let o be v(-3). Find the common denominator of 85\/16 and o\/56 - (-2)\/(-8).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6}. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1114213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4224.522 rounded to the nearest 10?\nAnswer: 4220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 81, 21, -3, 3, 0.09, -0.4, 0?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - w - 1. Is f(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255 is divided by 53?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**5\/5 + 56*d**4 + 272*d**3\/5 - 836*d**2\/5 - 274*d\/5 + 556\/5 = 0?\nAnswer: -139, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 269.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*m + 25 = 0. Suppose q = -3*q. Solve q = -10*g + m*g - 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*-1)\/(20\/(-580)). Let n be o\/4 - (-6)\/8. Suppose 0 = 4*b - 72 + n. Does 2 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 44\/(-5) + (-1)\/5. Let w(l) = -6*l - 16. Let d be w(-9). Let t = d + u. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 129*o. Let a(z) = -2*z + 34. What is a(y(q))?\nAnswer: -258*q + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**5\/25 + 4*z**4\/15 - 2*z**3\/3 + 12*z + 1. Determine o, given that j(o) = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23536335631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36900 and 2925?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123 + 421 - 87 + 2*r - 123 - r - 2*r.\nAnswer: -r + 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 4*k**2 + k - 2. Let j be s(-3). Let g be -1 + j + (-5 - -7). Suppose 110 = 4*q - g*x + 24, -5*x + 9 = q. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 + 0)*(0 + 0 + j) - 2*j + j - j + 0*j - 4*j + 3*j - 4*j - 14*j + 6*j)*(4*j**3 - j**3 - j**3).\nAnswer: -28*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 take away -0.434?\nAnswer: 0.314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 23, 33, 47, 65, 87?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47819 is divided by 318?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4948, 9898, 14846, 19792, 24736, 29678?\nAnswer: 34618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -17. Let y be 12\/(-54) - (-11)\/z. Let n be (y + 11 - 3) + 4. Solve 0 = -q - v - 3, -4*v + n = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t + 9014*t**2 + 7222*t**2 + t - 2 - 29.\nAnswer: 16236*t**2 + 20*t - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w**3 + 5*w**2 - 23*w - 13. Let q(b) = b**3 - b**2 + 6*b + 3. Let z(k) = -6*a(k) - 22*q(k). Does 23 divide z(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.48, 5, -1\/4, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*i + 41 = 0, -3*u - i - 10 - 7 = 0. Let w be (3\/u)\/(-3) - (-625)\/(-100). Let c(d) = d - 3. Give c(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16540 - 11255. What is c rounded to the nearest one hundred?\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -1) + 0 + 13. Let c = i - 9. Suppose g - c*g = -7. Solve 0 = -g*y + 2*y - 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 260685100 to the nearest one million.\nAnswer: 261000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*k = 39944, 0 = -41*v + 42*v + 3*k - 13319. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*w + 16*s + 4*s, 2*w + 2*s - 2 = -0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27806 + 86206. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/(1*sqrt(10)))\/(sqrt(20)*1).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -602*h**3 - 597*h**3 + 1304*h**3 - 75*h**3.\nAnswer: 30*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573856 is divided by 753.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) -42 (c) -6 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*10\/(-4)*(-6)\/5. Is 4313 - (p + -6)*1\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 246\/5, 262\/7, -16 in decreasing order.\nAnswer: 246\/5, 262\/7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -903 divided by 21\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 10*w**2 - 35*w - 223. Let x be v(-9). Let b(n) = n + 61. What is b(x)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 6*r - 64. Let g be f(6). Solve 4*z + 8 = -3*b, 2*b - 4*z = 3*b + g for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**2 + 41*d - 9 + 29 + d**2. Let f(r) = -r**2 - 8*r - 4. Let a(k) = -11*f(k) - 2*h(k). Determine a(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -25*j. Let c(q) = 690*q - 690*q + 2*q**2. What is c(d(z))?\nAnswer: 1250*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 3. Let i = -41 + 44. Suppose -2*k - p + 15 = 3*k, -k + i*p + 19 = 0. Solve -3*g + k = -4*g - 2*n, -5*g - 20 = r*n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**6\/120 - m**5\/20 - m**4\/8 - m**3\/3 - 2*m**2. Let r(w) = -w**3 - 23*w**2 - 22*w + 3. Let a be r(-22). What is y(a)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 243*r - 13735. Give u(-153).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -678 by 2.\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*-5 + (sqrt(50)*-2)\/sqrt(10).\nAnswer: -22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 56874*d**3 - 14661.\nAnswer: 170622*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 9*o + 16. Calculate the remainder when u(8) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8\/10)\/(6\/15). Suppose 2*l - 32 = 10. Let t = l + -13. Solve z - t = x*c, -5*z - 5 = 5*c + 15 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.95 * 1156.279.\nAnswer: 1098.46505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*y - 3 = 0, -3*z + 6*y - 8*y + 22 = 0. Let i be 9 + 2\/4*0. Suppose -z*w = -i*w + 210. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -6\/7 (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w - w + 0*w)*(-3*w + 4*w - 2*w) + (-15 + 80 - 21)*(4*w**2 + 3*w**2 - 4*w**2) - 1 + 2*w + 3*w**2 - 7*w + 9*w to n*w + r + q*w**2 and give q.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2 - 4*q - 3. Suppose 2*a + 2*a = 2*o - 8, -5*a = o + 10. Give f(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 17*i**2 + 3*i - 69. Let p(j) = -3*j**2 - j. What is 3*p(y) + z(y)?\nAnswer: 8*y**2 - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 0*g + 14 = -2*g, -22 = -5*o + g for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0474808543 - 66.0915054543. Let j = f - -0.0342246. Let k = 66 + j. What is k rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -316.01 times -0.495?\nAnswer: 156.42495","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -154456.\nAnswer: -15445.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c - 6 - 5*c - 4 - 1 + 8 in the form r + p*c and give p.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -1\/6, -1, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 divided by 1?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170101?\nAnswer: 170101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 take away 80631498.266?\nAnswer: -80631497.066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10\/9 + 23\/18. What is the nearest to -0.1 in 2, v, -2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4 - (-7 - (-175)\/28). Let d(m) = 11*m - 8. Let k be d(i). Solve 3*j + 0 = -k*s + 6, 2*s = j + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 0*p - 11*p - p**2 + 19*p - 9*p. Let n(x) = -20*x**2 - 10*x. Let z(b) = 28*f(b) - 2*n(b). What is the second derivative of z(w) wrt w?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 19. Let s(l) = l + 15. Does 2 divide s(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 105 + -105. Which is smaller: j or 3\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88\/1232*-28*(-35)\/(-2).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -304366 in 5, -5, 4, -1\/11, 4\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -3 - -13)*1. Suppose 2*b = -4*b + 30. Suppose 3*t + 87 = 2*l, b*t - 6 = 9. What is the highest common divisor of l and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i - 28 = -22*i. Solve -i*d + 129 - 136 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 1241?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jsddddbbddddddjdddd. What is prob of picking 3 d?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -623283 or -622698?\nAnswer: -622698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (160\/28)\/((-8)\/(672\/6)*4)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 1)*(4*l**2 + 2*l**2 - 4*l**2 + 3*l**4) to a*l + c*l**2 + s*l**4 + z + v*l**3 and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37.34 - 37. Let r = v + 0.06. Let n = -21 + 23. Which is the biggest value? (a) n (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (-9)\/6)*12. Suppose 52 = 7*b - j. What is the remainder when 37 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33852 is divided by 305?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + 34 + -27 - 10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 t when three letters picked without replacement from hbhbhonnnhznohntt?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.025 + 0.217. Let l = 0.012 - p. Let u = 0.13 + l. Which is the nearest to u? (a) 2\/7 (b) -0.1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/55781 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82852.17 grams to nanograms.\nAnswer: 82852170000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + (-5 + -5 + 4*sqrt(65)\/sqrt(5))**2).\nAnswer: -1866 + 480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.4 + 7. Let y = 341.395998 - 340.996. Let w = f + y. Round w to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 14. Let b be q(-15). Let j be 2 + (3 + -2)\/b. Let z(y) = -2 + 0 + 5 + y - j. Calculate z(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2090606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*d = 205*d + 176*d + 2056 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3.2964 times 6\nAnswer: 19.7784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12522 by -105.\nAnswer: 4174\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 3771, 2\/589?\nAnswer: 2\/589","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -542104312 (base 6) to base 3\nAnswer: -200002202000022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1541816 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11951\/11 - 1089. Suppose 0 = 5*p + 3*a - 2, 2*p - a + 8 = -0*a. Calculate the common denominator of q and -52 + 2 + (-3)\/p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 648167332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 7:28 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 92654 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -161, -238, -315, -392?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -24*(-4)\/(8\/2). Let a be (1 + -16 + 3)\/(-2). Let z be (2*24\/9)\/(a\/9). Calculate the greatest common divisor of z and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/3 and 7\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/12 - -2 - -1*(-42)\/(-56).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {k: 6, r: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6.7, 0.1, -49, 3 in descending order.\nAnswer: 3, 0.1, 0, -6.7, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**3\/13 + 23950*l**2\/13 - 5528*l + 47912\/13 = 0. Calculate l.\nAnswer: -11978, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/7 + 23\/(-1932)*255 + -3.\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - i + 0*i + 778 = 0, 4*i - 1942 = -5*k. Suppose 7*t = t + k. Suppose 4*y - t = -5*d, 2*y - 15 - 31 = 2*d. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -564 * 461773.\nAnswer: -260439972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2 - r**2 - 1 - 5 + 2 + 6*r. Let x be z(4). Suppose -2*s - x*p + 40 = 2*s, 3*p = 5*s - 50. Solve -l - l = -s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 0.4 (c) -3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1800780000 rounded to the nearest 1000000?\nAnswer: 1801000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**3 - 1268*s**2 + 11646*s + 46296 = 0.\nAnswer: -643, -3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5730422)\/33044376*1108\/42. Let j = v + -1\/838082. Let c = j - 43\/23. Find the common denominator of c and -77\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.445 - 0.445. What is the nearest to x in 0.1, -1.9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 4*u + 3. Let t be w(4). Let z be (12\/20)\/(2\/110)*t. 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: What is the value of 20 + -10 + -1 + -2 + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 540, 421, 302, 183, 64?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + f. Let v(b) = 2*b**3 - 19*b**2 + 5*b - 1. What is -5*c(o) + v(o)?\nAnswer: 2*o**3 - 14*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 4, 2, -3, -25 in decreasing order.\nAnswer: 4, 2, -0.3, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304*x = -299*x - 185. Calculate the remainder when x is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -119, -236, -353, -470?\n\"Answer: -117*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.06 (b) 371 (c) -2 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 + -43.13. Let p = 76089.86999976 - 76090. Let y = p - h. What is y rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0781 + -1.1781. Let f = 2.9 + 0.2. Let s = f + v. What is the closest to -1 in 4, s, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*15\/30 + 115\/210.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.2 from -113.59.\nAnswer: -111.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*q = 37*q - 2. Let i be ((-11)\/22)\/((q + 0)*2). Let -1\/2*l - i*l**2 + 0 = 0. What is l?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10, -2, 10, 8820 in decreasing order.\nAnswer: 8820, 10, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(-2)))**(-40) assuming c is positive.\nAnswer: c**80","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 8) to base 4\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 6*s - 3*s)*((5 - 1 - 3)*(-5 - 6 + 3)*(-6 + 0 + 4) + (2 - 3 + 3)*(0 + 2 - 1)).\nAnswer: 36*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60 + -58. Factor -u*t**2 - 3*t**5 + 2*t**5 + 3*t**4 + 2*t**3 + 1 + 3*t**4 - 5*t**4 - t.\nAnswer: -(t - 1)**3*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 n when three letters picked without replacement from nunnnsmnnnnunnnnnmn?\nAnswer: 91\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 38366475 divided by -15\nAnswer: -2557765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5*b**3 + 4*b**2 - b - 3. Let x(n) = 11*n**3 - 9*n**2 + 2*n + 7. Give -7*o(r) - 3*x(r).\nAnswer: 2*r**3 - r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + o + 0)*(1 - 2*o - 1) + 2 - 2 - o**2 - 6*o + 69*o**2 - 13*o - 2 - 71*o**2 + 5*o + 2*o**2 - 5*o.\nAnswer: -3*o**2 - 19*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(684) + sqrt(684) + (sqrt(684) - (sqrt(684) + (sqrt(684) - (sqrt(684) + 2 + sqrt(684) + -1)))) + (-3 + -1 + sqrt(1900) - sqrt(1900))))**2.\nAnswer: -108*sqrt(19) + 6165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 56*u = 52*u + 16560, 3*b + 5*u - 49680 = 0. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + 30\/(-4))*-4. Factor 10*w - 4*w**2 - 56 + 20 + x*w.\nAnswer: -4*(w - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79 - 74. Suppose 0 = v*b + b - 198. Let n be 3\/(-9)*(-11)\/(b\/36). Solve -2*d + d = p + 7, -p + n*d + 3 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -0.16, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-9) - (-2)\/6. Solve -q - m = -2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from veuyj. Give prob of sequence vy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6559913 to the power of 1\/2, to the nearest integer?\nAnswer: 2561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.02 and 107544?\nAnswer: 107543.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -3*g + 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -37. Solve 5*u + 3*b - 3 - 2 = 0, -4*u - 5*b = -p for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299485350 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 5. Let g(v) = -2*v + 6. Let n = 26 + -21. What is n*g(t) - 6*z(t)?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 4*r = -13*v + 29, 0 = -2*v + 3*r + 7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2641 = -40. List the prime factors of a.\nAnswer: 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -98644272 at most -98644272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -693*j - 13. Let d(v) = 2*v + 3. What is -b(l) - 5*d(l)?\nAnswer: 683*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 94\/11 - 2\/11*a**2 + 92\/11*a.\nAnswer: -2*(a - 47)*(a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 - 13*o**3 + 43*o**3 + 0*o**2.\nAnswer: 30*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1740 (base 9) to base 15\nAnswer: -5dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (2 + 7)*6\/90. Which is the nearest to 1? (a) -3\/8 (b) i (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 4357.\nAnswer: -21785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of 4 - 3\/4*p**2 - p - 1\/6*p**3. Factor h(m).\nAnswer: -(m + 1)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -5*s - 4. What is the units digit of 920\/16 + s\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 22*b + 101. Does 2 divide u(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -5*d + 1 - 6, 5*d + 20 = 0. Suppose -p = -3*k + 39, m*k = -2*k + 2*p + 64. Suppose -k*n = -53 - 451. Is n a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v + 13. Suppose h + 13 = 2*p, 1372*h = 1374*h + p + 1. What is y(h)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76400031.45 rounded to the nearest one thousand?\nAnswer: -76400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 3*p - 3. What is r(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39247?\nAnswer: 13, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r = m + 8*r - 13351, -5*m + r = -66774. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16002132 and 13.\nAnswer: 208027716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 + 41. Suppose 0*j = -2*j + 24. Suppose -5*y + j = q. Let x(s) = s**3 - 4*s**2 + 3*s - 1. Calculate x(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/(-9)*96012\/(-42672)?\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d + 1. Let i(r) = 1. Let q(u) = -3*i(u) + l(u). What is q(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + -2 + 15 + -5. Differentiate x*d + d - 5*d - 12 + 3*d wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1) + (19 - 5 - 16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*f = 25*f + 55. Let x be -2 - ((-10)\/f - 210\/55). Solve 4*v = -4*w + 28, -x*v + 6 = v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12147974?\nAnswer: 2, 457, 13291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 38876764294 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*y**2 + 122*y**2 + 154*y**2 + 215*y**3.\nAnswer: 215*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 799 not equal to 788?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - w = -10. Let g = w - -7. Differentiate 0*y - 3*y + 3*y - 1 + 3*y**g with respect to y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 347698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*g + 56 - 26. Determine o so that -49*o**2 + 128*o - 176*o + 40*o**3 + 36 + 6*o**5 + g*o**5 + 44*o**4 - 31*o**2 = 0.\nAnswer: -3, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2. Suppose 3*n = 4*z - 0*n - 6534, -n + 2 = 0. Let u(f) = 1635 - z + f. What is u(g(j))?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37075839 at most as big as 37075839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence airp when four letters picked without replacement from {p: 1, i: 1, h: 6, r: 2, a: 2, g: 7}?\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 16*g**2 + 8*g - 9. Let c(y) = -4*y**2 - 2*y + 2. Let s(b) = -2*a(b) - 9*c(b). Does 12 divide s(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6858622 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 1003 = 16*b - 2*l - 1009, 2*b + 18 = -4*l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 425186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -33*h**2 + 2*h - 1. Let x be i(4). Let j be (x\/3)\/((-2)\/(-6)). Let d = j + 3143\/6. What is the common denominator of d and -77\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (((-1 + sqrt(75)*2*4)*3)**2 - (((-2 + -1 + sqrt(75))*2)**2 + 3)).\nAnswer: -600*sqrt(3) + 42870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 11 = -4*p. Sort -5, 0, p, -4 in ascending order.\nAnswer: -5, -4, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 4:03 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1085566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*w**3 + 307*w**2 + 26*w**3 - 307*w**2.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*g - 2*p - 1, 5*p + 15 = 4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.50141 - -5.5. Round h to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 47502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 11:42 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5235 + 123?\nAnswer: -5112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -954\/85 - -62\/5. What is j in -50\/17 - 2\/17*j**2 + u*j = 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + -4fb100e?\nAnswer: -4fb1017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(66)*1 + sqrt(66))\/((-2*sqrt(48))\/sqrt(8)) + -3.\nAnswer: -2*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 12 = 4. Suppose q*z + 21 = -5*g, -3*z - 2*g = 2*z. What is the third derivative of 2 - x**6 - z + 0 + 4*x**2 wrt x?\nAnswer: -120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 420*d**2*q*w + 19*d**2*w**2 - 2*d**2*w + 5*d*w**3 - 2*q*w**3 - 28*q*w + 76 wrt q?\nAnswer: 420*d**2*w - 2*w**3 - 28*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) 0.036 (b) 5 (c) 1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/9 + 740*j**2\/9 - 2794*j\/3.\nAnswer: 2*j*(j - 11)*(j + 381)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017745 rounded to four dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.2 - 13.3. Which is the third biggest value? (a) -3 (b) u (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -240 - -238. Find the common denominator of (-44)\/(-36)*-1 - -1 and -1 + (w - (-959)\/84).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2968657.2 months to decades.\nAnswer: 24738.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 7833*o**2 - 78105*o - 195075.\nAnswer: -3*(o + 5)**2*(o + 2601)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -24*g - 72. Let s be m(-3). Let a = 2245\/82 - -210\/41. Let y = 35 - a. What is the second smallest value in y, 1\/3, s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*k**2 - 486*k**2 - 808*k**2.\nAnswer: -1064*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from rrdd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 472 and 246?\nAnswer: 116112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 6*(sqrt(242) - sqrt(242)*2))**2.\nAnswer: -132*sqrt(2) + 8713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1250172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34 + -6605?\nAnswer: -6561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -595*d**3 + 425*d**2 - 425*d**2.\nAnswer: -595*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + k - 1. Let j(a) = 19*a**3 + 6*a - 7. Calculate -6*g(u) + j(u).\nAnswer: 13*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (0 - -2) + (6 - 6 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5*i - 80 = 3*w, -160 = -4*w + 5*i. Let v = 781 + -760. What is the remainder when w is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/4*2\/(-49)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1137 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200200 + 11?\nAnswer: -200112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 + 0 - (-20)\/(-10) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 3*o**2 + 2*o + 300. Let x be a(0). Let q be 1460\/x + 2\/15 + 0. Solve 4*w - 5*n = 2, w - 4*w + 2*n + q = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-174)\/(-22) - 8)*(-1 - 1). What is the closest to 0 in b, -2, 0.8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*l**3\/7 - 456*l**2\/7 + 2740*l\/7 - 4400\/7 = 0. Calculate l.\nAnswer: 10\/3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63775.75 kilometers to centimeters.\nAnswer: 6377575000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -9*z - 1. Let o(g) = 6*g + 2. Let h(w) = 5*c(w) + 6*o(w). Give h(5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-6*((sqrt(1573)*-2 + 3)**2 + (2*(sqrt(1573) - (sqrt(1573) + -2*sqrt(1573))) - sqrt(1573)))*-2 + -1.\nAnswer: -2376*sqrt(13) + 151223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -962*g**2 + g - 24. Let l be w(-8). Round l to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22007 + -4.\nAnswer: -22011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21898176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-175\nAnswer: -17.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4202616330?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.392548 to 2 decimal places.\nAnswer: 13.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, -575, -3 in ascending order.\nAnswer: -575, -6, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -94 divided by -1\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-708)\/(-16) - 4\/(-8). Let j = v - 45. Let p = -8 - -8.5. Is j >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108623, -108620, -108617, -108614?\nAnswer: -108611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-5))\/(1\/(-10)). Let c = -2 - 3. Let d = a - c. Solve 3 + d = -j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*z = -14*z - 1288. Let d = -159 + z. Solve 2*f - b = -4, -5*f + 5*b = 12 - d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7129*33.\nAnswer: -235257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4405628615?\nAnswer: 5, 503, 1751741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.8 + 6. Let w = u - -2.2. Let k = 4.065 - 4.465. What is the biggest value in k, -1\/4, 1\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.4 in 2, -171, 0.1, -0.465, 5?\nAnswer: -0.465","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 268 - 267. Let m be 0\/(0 + 1\/1). Which is bigger: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -4)\/(2\/8). Let t = 56 + -52. Let d be -8 - (t + -6) - -4. Sort 3, x, d in ascending order.\nAnswer: x, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 13*w**3 + w**2 - 9*w + 9. Let n(j) = -3*j**3 + 2*j - 2. Determine -4*d(h) - 18*n(h).\nAnswer: 2*h**3 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39546.000053327 + 39546. Round w to 7 dps.\nAnswer: -0.0000533","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a9 - 147?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x - 16. Let k be b(-9). Suppose 4*l + k*l = 12. Suppose -3*g + 119 = -5*z - 114, 2*z + 154 = l*g. Is g a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -154256, -308511, -462768, -617027, -771288, -925551?\n\"Answer: -h**2 - 154252*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 5*r + 375. Let y = r - -815. Suppose 5*w - 5*x = y, -282 - 478 = -5*w + x. What are the prime factors of w?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 13986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2213 = 21*l - 27649. Suppose 5*o = -z + 3*z - 942, -3*z + l = -3*o. Does 34 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4774 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/7 - 381257*h**2\/7 - 5191998608*h - 908361486400\/7.\nAnswer: -(h + 25)*(h + 190616)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-69)\/46)\/(3 - (-105)\/(-28)). Suppose -k + 0 + 4 = x, 3*k - 22 = -5*x. Solve l = 3*q + y + 2, x*q + 6 = 2*l for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = 206 - 773. What is the hundreds digit of (i\/(-54))\/(3\/2) + 207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -52170221*a**3 - 23180056 wrt a.\nAnswer: -156510663*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 650 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63200.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104\/9, 108, 2\/7, -0.12, -2 in increasing order.\nAnswer: -2, -0.12, 2\/7, 104\/9, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-18) + (-7)\/(-2). Suppose -3*f = -2*x - 42, 2*x = f + j*x - 9. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 + -0.13. Let j = h - -5.07. Sort -2\/17, 0.4, j, 4 in descending order.\nAnswer: j, 4, 0.4, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 20 = -2*s - k, 0 = -5*s - 4*k - 64. Let j = -20 - -12. Let a = j - s. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**7\/840 - a**6\/240 + 2*a**4\/3 + a. Let x(k) be the third derivative of g(k). Factor x(r).\nAnswer: 3*r*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 2 - 1)*(3*l - 4*l + 0*l)*(2*l**2 - 2*l**2 - l**3) - 1 + 1 - 2*l**4 + (-6*l + 4*l + 3*l)*(12*l**3 - 44 + 44).\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 3)*(-17*d - 6854 - 1125 + 16*d) to the form c*d + s and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/1218 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*p + 5*d, -2*p - 4*d + 27 = 9. Solve 28*w = p*w + 105 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c - 5 + 8 - 1 + 3*c - 11. Give v(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3842*u - 26135. Give g(-7).\nAnswer: 759","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 u when two letters picked without replacement from cfcfbbcbccubbfbcbcus.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*0.4598\nAnswer: -0.18392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19287 + 19286. Let d be (10\/(-3))\/((-8)\/(-12)). Put -27, m, d in descending order.\nAnswer: m, d, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1950*d + 18 = 1948*d - 4*r, -5*r - 9 = -2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1503 + 1883 = 20*k for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1257019.8751 and 0.04.\nAnswer: -1257019.8351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2087 + -687. Suppose 6*o + 4*o = t. What is o rounded 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 1\/6? (a) 481 (b) 0.7 (c) 24\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-6))**(-6\/17))**40 assuming n is positive.\nAnswer: n**(1440\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4843250 and 400?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -312*((-6878)\/456 - -15)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 25*o - 26*o + 17, 2*o - 30 = -5*i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89738 = -533*w - 410*w - 17127 for w.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 1381969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09691367 rounded to 4 decimal places?\nAnswer: -0.0969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4085 + 7067 = 0. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64001 is divided by 63638?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + c + 32. Let p be z(6). Suppose -p*g - 5*x + 8805 = 3*g, 3*g = -2*x + 5279. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 15*k + 63. Let o(x) = 8*x. Calculate i(o(t)).\nAnswer: 120*t + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 5*t = -31, 5*h = -98*t + 101*t - 31 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 10:09 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4480 divided by 56\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 761, -249, -5.\nAnswer: -249, -5, -3, 761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/10 of a century?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 - -49. Suppose 0 = -s + 2*p + y, -s - 3*p - 6 = -0*p. Solve -4*d + 2*d - s = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2\/9 (b) 6 (c) -4 (d) -2.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -1)*9\/(-3)*3. Let t be (33\/m + -1 - 3)*-18. Are 33\/5 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + f + 8, 4*f = 4*k + 2*f - 10. Suppose -c + 4*t = -k*c + 1446, 2169 = 3*c - 4*t. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*f + f + 40*f + 30*f in the form y*f + o and give y.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 93451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -30*m**2 + 2*m - 2. Determine h(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -17 and -1087.35 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -248163 - -331793908\/1337. Calculate the common denominator of -123\/1910 and o.\nAnswer: 13370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2. Let a be d(1). Suppose -157*l + 158*l - 4 = 0. Suppose 6*r + l*g + 2459988 = a*r, 0 = -r + 4*g - 820012. Round r to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1271 + 1274. Put x, 0, -411 in descending order.\nAnswer: x, 0, -411","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t**2 + t + 3. Determine j(-3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/3)\/((-5181)\/(-628)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 a factor of 25194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*v + (-2*v + 2*v + 2*v)*(-3 + 2 + 3) - 3*v - 2*v + 6*v + 0*v - v + 3*v)*(-v + v - 3*v**2) to the form p*v + f + a*v**2 + o*v**3 and give o.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (-7)\/2)\/(25\/10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g + 52 = 7*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 2)\/((-2)\/(-1)). What is the least common multiple of ((a - -2) + -2)*-4 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 126*k**2 + 125*k**2 + 3.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (-3 + 4 - (-3 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -n - 4*z + 111, 0 = -2*n + 5*z + 225. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 divided by -741?\nAnswer: -610\/741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0292549 and 2622.32188.\nAnswer: 2622.3511349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 4*j + 3. Suppose -j*n + 127 = 47. What is the remainder when n is divided by 10 + -5 + 0 + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1703 - 180*d**3 - 1703)*(-3 + 5 - 1)*(-4*d - 3*d + 5*d).\nAnswer: 360*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129013.\nAnswer: 17, 7589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -11*x**4\/12 - x. Let n(u) = -22*u - 177. Let l(c) = -32*c - 236. Let o(p) = 3*l(p) - 4*n(p). What is o(m(d))?\nAnswer: 88*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2026055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 = 7. Let v = -2\/10347 + 233383\/3449. Let q = 67 - v. Which is the second smallest value? (a) y (b) q (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 124 - 66. Suppose -2*m + y = -0*m. What are the prime factors of m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -127\/68?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5108)\/8)\/(5\/(-30)). Suppose 9*q - 12*q = -a. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 6:18 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11062, -11099, -11134, -11167, -11198?\nAnswer: -11227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -17*t + 34. Let f(x) = 8*x**t + 0*x**2 - 7*x**2. Let v(c) = -3*c**2. Determine v(f(a)).\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.01 - 2.5. Let s = -0.01 + w. Let o = -94 - -94.3. What is the second smallest value in o, s, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -3*r**2 + 9*r + 84. Let v be a(7). Solve v = 29*n - 25*n - 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 6. Let i be o(-5). Is (655\/20)\/(i\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8481716?\nAnswer: 2, 2120429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of u**9\/1008 - 3*u**8\/560 + 3*u**7\/280 - u**6\/120 - 17*u**3\/6 + 15*u. Let r(h) be the second derivative of c(h). Factor r(n).\nAnswer: 3*n**2*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125241 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1789 divide 159000953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51223 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b + 36059 + 4177 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1611, -1609, -1607?\n\"Answer: 2*j - 1613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11665752463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -1, 42, 18, 3, -2 in ascending order.\nAnswer: -2, -1, 3, 18, 23, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 10*s + 900 = 0. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xsxsxxfxxxxsxxf. Give prob of picking 1 s and 3 x.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 0 - 49\/6*d**3 + 0*d**2 + 107*d + 35\/12*d**4. What is the second derivative of x(r) wrt r?\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 4:57 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -731, -1, 0, -18 in descending order.\nAnswer: 0, -1, -2, -18, -731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-210)\/520) - (-130)\/(-13).\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7 + 18 = 5*p, d - 9 = -2*p. Suppose 5*x = -v + d, -33 = -2*x - 4*v - 13. Which is the third smallest value? (a) x (b) -3 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 0 (c) 1\/6 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18498, -18499, -18500, -18501, -18502?\nAnswer: -18503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 11*g**3 + 2*g**2 + 9*g + 4. Let o(q) = -5*q**3 - q**2 - 4*q - 2. Let f = -3587 + 3583. Calculate f*y(t) - 9*o(t).\nAnswer: t**3 + t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1 = -4*s + s, 0 = -2*h - 5*s. Suppose 0 = h*f + 2*i - 2492, -3*f + 1470 = 3*i - 18. Round f to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 716*d - 111*d - 121*d - 111*d - 120*d - 115*d - 152*d.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 4*p**2 - 13*p + 7. Suppose 0 = -252*m + 238*m + 84. Calculate u(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15654 + -15617. What is the smallest value in -4\/7, 0.5, y, -2\/33?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 15*j**3 + j**2 - j - 1. Let a be y(-1). Let u = a - -18. Suppose 3*o - 6 = -u*s - 1, 2*s - 5 = -o. Solve 2 - 17 = s*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 569 - 592. Let k(v) = v + 27. Let m be k(o). Sort m, 3, -2, -4 in descending order.\nAnswer: m, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/24663192 and -143\/11606208.\nAnswer: 197305536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7157\/4? (a) -0.4 (b) 2\/11 (c) 2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4016862ml in litres?\nAnswer: 0.0004016862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 28332.08 millennia?\nAnswer: 283320.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 910*s - 210. Let v(a) = -2*a - 7. Calculate -60*v(i) + 2*z(i).\nAnswer: 1940*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 0 + 0)*(2 - 2 + 3*z) - 2*z**2 - z**2 + 2*z**2 + (-2 + 2 + z)*(2*z - 3*z + 3*z).\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**5\/11 + 2*j**4 - 52*j**3\/11 - 8*j**2 + 240*j\/11 = 0.\nAnswer: -2, 0, 2, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -247 + 1765*x - 22*x**3 - 1765*x with respect to x.\nAnswer: -66*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55.2 - -51.41. Let s = -2.79 - k. Let r be 3 - 4\/(52\/41). Which is the nearest to 0? (a) s (b) 2\/9 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(52*w**3 - 294*w**3 + 0*w**2 + 0*w**2).\nAnswer: 484*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2774 - -5639. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -7. Let o be 1 + 2 + (h - -1). Which is greater: 3\/4 or o?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 26336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 + 3*f + 3. Let v be (26\/3)\/(-1 + 2\/3). Let k = v + 29. Calculate x(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (982\/(-5))\/(2\/(-5)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - -2. Suppose 0 = -6*m + 4*m + 16. Suppose 22 = 4*k + u, -3*k = -3*u + 8*u - m. What is the remainder when v is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 696 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69204 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 4636*b + 25 = -4640*b, 5*b = -s - 26 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 225779076 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/4*(-680)\/170.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-2408)\/(-140)*(-34 - 1). Calculate the highest common factor of 56 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84 - -85. Let a(u) = 2*u + 3. Let f = -4 - -6. Let c(s) = -1. Determine f*c(q) + k*a(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7935 + -7935.2. What is the third biggest value in -2, -1\/57, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**7\/420 - 2*p**6\/135 - 7*p**5\/180 - p**4\/18 + p**3 - 2. Let f(o) be the third derivative of b(o). Let f(u) = 0. What is u?\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/118704 and -23\/1168.\nAnswer: 8665392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**4 + j**2. Let d(b) = 23*b**5 + 5*b**4 - 17*b**2. Let x(p) = d(p) - 5*y(p). Find the third derivative of x(g) wrt g.\nAnswer: 1380*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 239 = -r + 2543, -4*r = 20. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1031\/4 + 5163\/20. Let w = -2 + -3. Let r = -4 - w. What is the closest to b in 2, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/((-1836)\/119)*-6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (57*d**2 - 12*d**2 + 124*d**2 + (2*d + 0*d + 0*d)*(9*d + 2*d - 4*d))*(-1 + 1 - 2*d**2) to h*d**2 + j*d**4 + q*d + p + l*d**3 and give j.\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p**3 + 2*p**2 - 2*p - 1. Let u(z) = -z**3 + z**2 - 1. Let w be (-26)\/(-10) - ((-36)\/15)\/(-4). Determine w*u(c) - h(c).\nAnswer: 2*c**3 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -9*w - 2. Let q(r) = -6*r - 17. Let k(j) = 2*j + 6. Let m(c) = 17*k(c) + 6*q(c). Calculate m(d(v)).\nAnswer: 18*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -15. Let t(p) = -p**3. Suppose -g = -5*c + 2*g - 7, -3*g = 2*c - 14. Suppose 5*q - 14 = c. Let z(l) = 4*l**3. Determine k*z(o) + q*t(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 92869 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*a**3*o**3 - 4008*a**3*o + a*o**4 - a*o**2 wrt o?\nAnswer: -270*a**3*o + 12*a*o**2 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -62065*o - 78*o**4 + 62065*o + (-o**3 + o**4 + o**3)*(5 - 12 + 14).\nAnswer: -71*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-8) + 98\/56 + 1. Let a be (44\/6)\/((-4)\/(-6)). Let h = a + -6. Sort h, 6, o in decreasing order.\nAnswer: 6, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1b7a - -3a?\nAnswer: 1bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (136\/20)\/(4\/10). Let u(l) = -s*l + 14*l - 8*l - 9*l. What is the units digit of u(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 2*x**2 - 16*x + 3. Let h be q(3). Suppose h = -20*d - 553 + 1653. Suppose -4*i = -2*i - 38. What is the remainder when d is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 5*t**2 - 2*t + 3. Calculate the remainder when 1128\/(-18)*30\/(-40) is divided by m(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**5 - 160*t**4 = 0?\nAnswer: -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2)**(6\/11))**18\/((z*z*z**(2\/3))**16*(z*z*z*z**(1\/4)\/z)**(-2\/19)) assuming z is positive.\nAnswer: z**(-28583\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/2 and -3\/79.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10024 and 560.\nAnswer: 100240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -127551 (base 8) in base 11?\nAnswer: -30813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 4*r**2 - 3*r - 3. Suppose 10*p - 6*p + 16 = 0. Give f(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 75*p - 80*p + 41, 24 = 3*g - 3*p. Calculate the smallest common multiple of 62 and g.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 4*m - 17, 4*j - 2*m + 13 = 7*j. Suppose 2*l + j*l = 450. Let c be 20\/l + 187\/9 + 1. Solve 2 - c = 5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6*g - 18. Let r be c(-6). Let i be (r\/(-10))\/((-1)\/15). Let k = i - 27. Is k >= 1\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 8*l - 45. Let a be o(-5). Suppose -i = 4*d - 58, -2*d = -4*i - 0*i - a. Solve -g - 11 = -2*c, -2*c = -7*c - 2*g + d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21683, 21682, 21681, 21680, 21679?\n\"Answer: -j + 21684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/15? (a) 0.01 (b) 7 (c) 0.5 (d) 0.0037 (e) 8\/5 (f) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-67 + 66) - (-5 + 4 + 20)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/975*-5)\/(0 - -1).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -63297, -64720, -67095, -70428, -74725?\n\"Answer: -h**3 - 470*h**2 - 6*h - 62820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 103072104?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-17)\/(-2)*12)\/1?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37238 + 78176 = 26*m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 2. Let o be h(7). Suppose -o*t - 2*l - 4 = -2, 0 = -5*t + 2*l + 2. Suppose t*d = 4*d - 36. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, i: 1, r: 4, k: 2}. What is prob of sequence rl?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (14\/(-4))\/(11088\/(-30816)).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 7:08 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(9 - 5)*27\/36?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164351?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*p + 2*k + 3, -p - 9 = 4*k. Suppose -x = p*z + 2, -5*x + 2 = -2*z - 5. Let b = 24 - x. Is b a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008908 rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 2:18 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2\/7 - 1552*d\/7 = 0. Calculate d.\nAnswer: 0, 776","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -8*j**2 + 4*j. Let t(f) = 16*f**2 - 10*f. Let g(y) = 2*t(y) + 5*v(y). Let i(k) = 9*k. Determine i(g(w)).\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38570.5 + 38571. What is the nearest to -19 in w, 2, 2\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 642*-2\nAnswer: -1284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12100345 (base 6) in base 11?\nAnswer: 240410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-836)\/(-33))\/(-19))\/(5\/(-15)*-10)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + x + 7. Calculate k(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/7)*x)\/x**11 assuming x is positive.\nAnswer: x**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9*(-2 - 554\/96). Let f = a - -70. Let p = -1235 + 27111\/22. What is the common denominator of f and p?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m + 4. Let l(p) = -6*p + 2. Let v(u) = -7*i(u) + 6*l(u). Give v(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 9:15 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -45 - n**2 + 11*n - 2*n**2 + 4*n**2. Let a be f(-14). Sort 3, -5, 1, a in descending order.\nAnswer: 3, 1, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 13*z**2 + 7*z - 12. Let u be s(12). Let n = -95 + 93. Let j be n\/(-7) + u\/(-42). Solve -1 = t - y + j*y, t + 4*y = 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1829472 to the power of 1\/2, to the nearest integer?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 9:35 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.31 + -0.51. Let g = -0.15 - -0.1. Let s = -2.05 - g. Which is the third smallest value? (a) f (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/7 (b) -3 (c) 4\/129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 590 * -0.0457\nAnswer: -26.963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 6 = -4*t, -6 + 0 = -f - t. Let a be (f*1)\/(3\/((-285)\/(-5))). Which is smaller: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1441342*d - 2656734.\nAnswer: -1441342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 8. Let q be p(-18). Let b be ((-2)\/2 - -1)\/2. Solve 5*l + 29 = -2*s - b*l, -3*s = 4*l + q for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.135161 * 4\nAnswer: 0.540644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104124729?\nAnswer: 3, 34708243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/sqrt(175)*-2.\nAnswer: -2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -653 + 648. Let d be (-4)\/2 - (-2)\/(-1). Which is the closest to -2? (a) v (b) d (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -1 + 310 + -298 + 9\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -6 - 19. Suppose 15*k - 659 = 211. Let c = k + -51. Solve -w*n + c = -3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 13. Let r be ((-4)\/25)\/((-4)\/l). Which is the second smallest value? (a) -5\/2 (b) r (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1127*i - 13134 = 67*i for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 62952469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**3 + u**3 - 5*u**3 + (33*u - 422*u + 78*u)*((-2*u - u + 5*u)*(u + u - 4*u) - u**2 - u**2 + 3*u**2) to z*u**2 + a*u**3 + d*u + j and give a.\nAnswer: 932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5157 = -2*v. Let y = 68579569\/20 + -3430697. Let m = y - v. Calculate the common denominator of m and -29\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -3*m**2\/2 + 1. Let h(a) = 3*a. What is p(h(u))?\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -4. What is the nearest to -2\/7 in r, 2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 6*h**2 - 4. Determine n(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 10, 0 = -3*l - 4*v + v - 21 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5682839 is divided by 142?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6 + 2*n - 2*n**2 + n**3 - 3*n**3 - 6. Let w be r(1). Does 3 divide (4 - 3*w) + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 790*t**2 + 1. Let l(r) = 2275*r. What is x(l(z))?\nAnswer: 4088743750*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1156602, -2313220, -3469840, -4626462, -5783086?\n\"Answer: -b**2 - 1156615*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 531*y**2 + 6416*y + 534. Determine k(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40175 and 800?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -134906, -539606, -1214096, -2158376, -3372446, -4856306, -6609956?\n\"Answer: -134895*r**2 - 15*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -56*o**5\/15 + 295*o**4\/6 + 114*o**2 + 1. What is the second derivative of x(p) wrt p?\nAnswer: -448","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 789606150 take away 128?\nAnswer: 789606022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s - 2*s**2 - 3*s - 2*s**2.\nAnswer: -4*s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*k + 502*k + 646 = 940*k for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9.716318g?\nAnswer: 0.009716318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -552 times 56.5\nAnswer: -31188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 9*t**2 + 8*t - 3. Let q be l(-8). Let w(y) = -y**3 - 3*y**2. Let d(p) = -4*p**2. Give q*d(g) + 4*w(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0. Suppose a = -5*s - g + 57 + 1, 9 = 3*g. Suppose -5*c + c + 8 = 0. Solve f = -c*k - f - 8, s = -5*k - 2*f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6272 - -6354. Solve 26 = -14*d + b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20292994 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + i**2 + 11*i + 12. Let y(l) = 2*l**2 + 203*l + 780. Let u be y(-4). What is m(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-69184)\/2576)\/((-30)\/(-125)) + (2 - 44\/21)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-350)\/20*(-10)\/35.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 28 from -9247402246.\nAnswer: -9247402274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 4*p. Solve -4*z + 4 = -4*o - p*z, 3*o - 4*z + 2 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 906*b + 100. Does 23 divide n(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 5 = -3*u - 2, 3*l = 5*u - 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjkl when four letters picked without replacement from mkjkl?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16797 is divided by (9303\/886)\/((-6)\/16*-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, r: 3, f: 5, p: 3, k: 1}. Give prob of sequence fp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 582726 smaller than 4661819\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in -0.2, 4, -11, -108\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4076748*s + 4076872*s - 4712 = 0 for s.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvgg when four letters picked without replacement from gggvggggv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7840 and 37485.\nAnswer: 1199520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2. Let s(t) be the third derivative of t**5\/30 + 7*t**2. Calculate q(s(g)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 177 = 5*p + 166, 23 = 13*h - p for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3 + 1555\/1992. Let z = -2\/5977 - -36028\/496091. Let c = z - f. Calculate the common denominator of c and -61\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*5*(-24)\/36*288\/120\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**7\/210 + t**4\/3 - 13*t**3\/3 + 32. Let n(d) be the third derivative of w(d). Differentiate n(i) with respect to i.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1512\/28)\/((-9)\/48*-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102311 is divided by 192?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwwwwkkwwkmwmkwi. Give prob of sequence kwk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*a - 2. Let r be a\/3 + (-80)\/(-12). Suppose -3*h = -r*h + 15. Calculate the greatest common divisor of 45 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -aaba1 - -1?\nAnswer: -aaba0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*k**2 - 36*k**2 - 27*k**2 + (-3*k + 4*k + 0*k)*(1 - 3 + 0)*(0*k + k - 2*k).\nAnswer: -46*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -p**6\/180 - p**4\/12 + 12*p**2 - 31*p. Let l(v) be the third derivative of a(v). Calculate l(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11660879 is divided by 481?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (23\/6624*48)\/(2\/12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -32. Suppose -x + 321 = i*x + 4*h, 0 = -x - 3*h + 62. List the prime factors of x.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**2\/17 - 1542*c\/17 - 37300\/17 = 0.\nAnswer: -746, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 3*d + 4. Let v be j(-4). Suppose 2*r + 1600 = -2*k + 3*k, v = -k. What is r rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1914, 1852, 1790, 1728, 1666, 1604?\n\"Answer: -62*b + 1976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 601 - 529. Let n(z) = 14*z**2 - 14*z + 84. Let f be n(6). What is the greatest common factor of y and f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2555089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 237303 and 187?\nAnswer: 237303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8*r - 3. Let h = 7 + -6. Let k be q(h). Let x(z) = -z**3 + 4*z**2 + 5*z - 3. Determine x(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(4*m - 10 + 9 + 241*m**2 - 237*m**2 - m**3).\nAnswer: -m**3 + 4*m**2 + 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 194849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 6 - 2 = 2*u - 0, 8*o = 369*u - 367*u - 42 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1161, 1171, 1195, 1239, 1309, 1411, 1551, 1735?\n\"Answer: s**3 + s**2 + 1159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 4*z**3 - 2*z**3 + z**2.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 19*g - 35. Let l be f(15). Let p = -23 + l. Solve -3*u + j = 1, 3*u = p*u - j + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87191305.\nAnswer: 5, 17438261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 7*v**6\/120 + v**5\/15 - 115*v**3\/6 + 128*v**2. Differentiate y(r) with respect to r.\nAnswer: 21*r**2 + 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 727284a?\nAnswer: -7272846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -0.4 (b) 4 (c) 0 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-11)\/(-99)*9*(3\/53)\/(-3)?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120246221 is divided by 402.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3304 + 5*c**3 + 27*c**2 - 1652 - 1650 in the form b*c**2 + k + x*c**3 + y*c and give b.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lab when three letters picked without replacement from bnaaljv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*((-1*(sqrt(1573) + 0 - sqrt(1573)) + -5)**2 + 3) + 4.\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6456351 to the power of 1\/3, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 151*x**2 + 2*x. Let f be n(-3). Suppose 0 = -16*s + 137 - 41. Suppose -5*i - s*i + f = 0. Calculate the remainder when i is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 106 - 974?\nAnswer: -869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7*f - 26. What is n(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493333 is divided by 432?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1 + (0 - (-6)\/(-10))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**3\/3 + 3*k**2\/2 - 6*k. What are the prime factors of n(-6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*p + 7 - 3, -3*p - 20 = -5*i. Let 15\/4*o**2 + 3*o**3 - 9\/4*o**4 + p - 3\/2*o = 0. Calculate o.\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006042 rounded to seven decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 9*m = 0. Solve 4*p - 2*j + 22 = m, p - 3*p + 19 = 5*j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2531*n + 40*n**2 + 3*n**3 - 1266*n - 1 - 1264*n to u*n + l*n**3 + v*n**2 + b and give v.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60848 + 424975\/7. Let w = -137 - z. Which is greater: w or -2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2224 and 1726832.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (20\/6 + -4)\/(32\/(-432))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 849593 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, h: 10, f: 2, b: 4}. What is prob of sequence hbb?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 + 61. Suppose -y*w + 10 = -8. Solve -w*z - 5*o = 32, 2*o + 8 = 3*z - 3*o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474371?\nAnswer: 47, 10093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 330484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45569177?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-5)*(-440)\/(-264).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1\/4 + 248248\/31 + 1\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 11*f**2 + 5*f - 4. Let u be a(11). Suppose -x - 6*n = -n - 34, 3*x - u = 2*n. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 9*c**4 + 5*c**3 - 5*c + 25. Let y(t) = 13*t**4 + 7*t**3 - 7*t + 37. Let o(u) = 7*j(u) - 5*y(u). Find the first derivative of o(z) wrt z.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -1)*(-4 + -2). Let l(a) = a - 5. Let y(c) = -4. Let q(p) = -3*l(p) + 4*y(p). What is the units digit of q(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116020199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**4\/7 - 615630*t**3\/7 + 615657*t**2 + 8618970*t\/7 - 29551248\/7 = 0. Calculate t.\nAnswer: -205217, -3, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.12, 0, -0.3, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s**2 - 26*s + 169 = 0. What is s?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 972745.8 centuries in millennia?\nAnswer: 97274.58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(6\/((-78)\/(-91))). What is the fourth smallest value in 1, h, 6, -1\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 2\/5 (b) 4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s. Let i(g) = 2*g. Let t(w) = i(w) - 6*q(w). Let n(h) = -19*h**2. Give n(t(m)).\nAnswer: -304*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4, 32, 74, 136, 224?\n\"Answer: g**3 + g**2 + 18*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - -5. List the prime factors of d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -11 = -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -141 + 145. Suppose -14*m + 11*m + 10 = 5*q, 3*m - 4 = -2*q. Factor 0*n**2 + 1\/11*n**3 - 1\/11*n**l + m*n + 0.\nAnswer: -n**3*(n - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7992615752 to the nearest integer?\nAnswer: 1999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 342879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66065 + 4?\nAnswer: 66071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30240 and 409920?\nAnswer: 3689280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 - (61 - 46) - ((3 - -1) + -19)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.7 - 4. Let o = i + 26. Let g = -0.01 - 2.99. What is the nearest to 1 in 0.1, o, g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 559730255 to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 less than or equal to 114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - t + 2*t)*(-t + t - t) + 10*t**2 + t**2 + 11*t**2.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 15*b**2 - 39*b - 10. What is c(-17)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*a + 10 + 54 = 0, -8 = -2*a. Suppose -h + 15 = -v. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-6)\/(-7) - 0)*81\/3078 and -103\/646.\nAnswer: 4522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/16 (b) -0.69 (c) 0 (d) 31 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((4 + -3)\/2)\/(6\/36). Suppose -k + 4 = k, 0 = x*t - 5*k - 53. Solve 0 = 2*r - 3*g + 5, -5*r - 2*g = -g + t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.2, -4, 102, 3 in ascending order.\nAnswer: -4, -0.2, 3, 4, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**4\/12 + 2*g**3 - 5*g**2 - 7. Let m(u) = -u + 6. What is -5*m(k) + 3*z(k)?\nAnswer: -k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 247579412?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-74)\/(-22) - (-3 + 6). Let b = n - -10\/33. What is the nearest to b in 0.1, -2, -2\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - f**4 + 30*f**2 + 0 - 4 - 13*f**2 - 16*f**2 + f to the form i*f**4 + o*f + p*f**3 + h + l*f**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7316 + -7288. Solve -4*k = k + f + p, -3*k - f - 18 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*r - 2*k, 2*r + 3*k + 0 + 2 = 0. Suppose -4*a + 3*p + 17 = 0, -2*a + a + r*p = -8. Factor -1\/4*n**5 - n**4 + 0 - 1\/4*n - 3\/2*n**3 - n**a.\nAnswer: -n*(n + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9275?\nAnswer: 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5 - 12*j - 4 - 1 - 15. Let n be d(-3). Suppose 8*l = n + 67. What is the remainder when 65 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 566 minutes after 8:07 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: (30\/(-18))\/((-2)\/(-9)*-3)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 3*w + 17746, 1809 = -5*x - 2*w + 23995. Is x a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 599274 and 156?\nAnswer: 1198548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 894489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -11\/471?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 100562507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, -0.5, -293, 10 in descending order.\nAnswer: 10, 9, -0.5, -3, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/1*(-12)\/18. Let b(v) = -v - r*v + 1 - 1. Let q(t) = -t + 6. Let g(w) = w - 7. Let a(d) = -6*g(d) - 7*q(d). Determine b(a(k)).\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 944 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-15)*8*315\/(-18). Let d be 10\/z*(-72)\/(-90). What is the biggest value in -4, 3, d, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 484*g - 2142. Determine d(4).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 7*l = 136. Let x = 29 + l. Let p(n) = -n**3 - 3*n**2 + 2*n - 4. List the prime factors of p(x).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7440*275\/(-73040) - 2*14?\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 14) in base 7?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*v - 298*v - 575*v + 193*v.\nAnswer: -729*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 43*k**2 + 6*k + k**3 - 21*k - 55*k**2 + 22. Let y(j) = -5*j + 3. Let s be y(-2). Determine w(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - j - 4 = -3, 4*c = j - 11. What is the units digit of c\/4 - 42\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 20. Let z(r) = 3*r**2 - 7*r + 5. Is 2 a factor of z(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40\/3 + -13. Let c = 259 + -739. Let d = c + 478.5. Sort d, -0.4, z in increasing order.\nAnswer: d, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 59 = 5. Suppose -3*s - l = -5*r - 4, -4*r - 4*s = -4. Sort -5, r, -10 in increasing order.\nAnswer: -10, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11*48\/(-440))\/((-7)\/((-1225)\/(-10)))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**8\/56 - h**7\/15 - h**6\/12 - h**5\/30 + 17*h**2\/2 + 21. Let i(v) be the second derivative of u(v). Factor i(z).\nAnswer: -2*z**2*(z + 1)**2*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 16*j**2 + 17*j + 34. Calculate the least common multiple of 1 and u(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -947*v**6\/40 - 11*v**4\/2 - 2*v**3 + 8*v**2 + 170*v + 2. What is the second derivative of f(m) wrt m?\nAnswer: -17046*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 11*y**2 + y - 16. Let x be h(11). What is the nearest to x in 5, -0.4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 25 = -5*v, 5*v = -4*y - 0*y + 22 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 8*a - 13*a + 200, -6*g + 323 = -a. What is the greatest common divisor of g and 3949?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -96411 (b) 2 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 88 = t, -5*t + 5*w + 20 = 510. Let n = t + 1007. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-18)\/4))\/(9 - 0 - 25630395\/2847285)\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (-18)\/5 + (-3)\/(-5). Suppose -5*l - 8*l + 1404 = r. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 60\/7*(6 - (-117)\/26). Calculate the greatest common divisor of 2655 and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6994595693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11\/(33\/126) - -2. Suppose -2*v + 47 = 5*j + v, 4*v - p = -4*j. Calculate the smallest common multiple of j and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 2. Let n be x(-2). Suppose -r + 119 = 3*k - 0*r, n = 5*k - 5*r - 185. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1362 and 4?\nAnswer: 2724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 340270000 rounded to the nearest one million?\nAnswer: 340000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18)\/(-135) - (-47)\/(-15). Let k = 16 - 18. Sort 8, 4, j, k in ascending order.\nAnswer: j, k, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3725 and 19668.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 155638433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9722 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35640 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(120)\/sqrt(6)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20b01c2 (base 13) in base 11?\nAnswer: -5699214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13956103 divided by -13956103.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyryyryyryyyrryrrrr. What is prob of sequence yrr?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-255)\/12)\/(1\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 2)\/1 + 0. Find the third derivative of 2*a**3 + 2*a**2 - 3*a**2 + t*a**2 wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 3*i - 72. Let r(w) = 2*w**2 - 34*w - 30. Let s be r(18). Let k be 3 + 8\/6 + s\/(-18). Solve 7*c + k*v = 2*c + 25, -c = -5*v + i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 3\/9 + (-114)\/(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -77 + 917. What is w rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 3*h + 0*h)*(-2 - 17 - 4 + 28).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 2*a**2 - 3*a + 1. Let j be u(2). Is 4 a factor of -1 - (3 + -216 + j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 935? (a) 0.4 (b) -2 (c) 1\/3 (d) 2 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (21 - 2)) + -9\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 73 = -4*x + 13, -x - 3*z + 29 = 0. What is the greatest common divisor of x and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41343 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*sqrt(102)\/((sqrt(72)*2)\/sqrt(12)) - (5*(sqrt(153)\/sqrt(3) - sqrt(51)) - sqrt(51))\/((sqrt(18)*1)\/sqrt(6)))**2.\nAnswer: 417\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 59801 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1 + 9*u + 2 - 2 + 3*u. Is 6 a factor of h(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8, -187, -678, -1637, -3220, -5583, -8882, -13273?\n\"Answer: -26*w**3 + 3*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3156557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -1 + (-9 - (-6606)\/(-9)). Let o = z - -1324. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4160214 and 2542353?\nAnswer: 45762354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 2*w + 9*w + 7 - 14*w as k*w + c and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.36 + -0.36. Let x = 1 + -1.08. What is the nearest to -1 in j, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of x - 2*x - 34 - 153*x**2 + 154*x**2 wrt x?\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 w, and 1 y when three letters picked without replacement from wbitgyty.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.5 (b) 7 (c) 1\/930 (d) -15 (e) -1 (f) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432985 is divided by 101?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1917169 litres?\nAnswer: 191.7169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2\/3 - 378995*o\/3 + 22032170.\nAnswer: -5*(o - 174)*(o + 75973)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 10664 = 5*h, 7*h - 21352 = -4*j + 3*h. What is the thousands digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + -38. Let x be 12\/(1 + l) + -2. Let y be (-3)\/(12\/(-8)) + x. Solve -4*j + 14 = 2*g - 0, -y*g = 4*j - 8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1110531 (base 6) to base 10\nAnswer: -55927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 257053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -20*d**3 + 6*d - 6. Let h(p) = -40*p**3 + 11*p - 11. Calculate -11*b(n) + 6*h(n).\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 986 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61652, -61653, -61654, -61655?\nAnswer: -61656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -2, 13.\nAnswer: -4, -3, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31\/255 - 5911\/1020. Suppose 2*w - w - 5*a = 4690, 5*w - 4*a = 23492. Let d = -46909\/10 + w. What is the common denominator of d and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 4*d - 1 = c, 3*d - 3 = 0. Suppose -3*m + 2*m - 2*x = -11, 4*m - 47 = -5*x. Let k = c + m. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x - x - 3*x)*(x**2 - 2*x**2 - 4*x**2) + (0*x + 3*x - x)*(-3*x + 2*x**2 + 3*x) - 3*x**3 - 1 + 1.\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 41650 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 + 74 = 4*i. What is the remainder when 138 is divided by i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2986\/62706*((-81)\/(-1))\/3?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o + 95 = -121. Let d be (-3 - o)\/(-3) + 171. What is the highest common factor of 96 and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-3)\/2)\/3)\/(3\/(-1350)). Calculate the remainder when 12 is divided by -2 + 10\/6 + k\/27.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4, 35, 88, 175, 308, 499, 760, 1103?\n\"Answer: 2*u**3 - u**2 + 20*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwj. Give prob of sequence vw.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 322.21 - 338. Let k = 16 + r. What is k rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 12) to base 9\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 2*y + 3*y)*(-2 + 2 - 1) - y - y + 0*y + y - y + 2*y + (4 - 4 - 2)*(-5*y + y + 2*y) + 192*y - 238*y + 165*y + 1.\nAnswer: 121*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/6, -3, 0.3, -16 in increasing order.\nAnswer: -16, -3, 1\/6, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3503?\nAnswer: 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 1:18 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**2 + 2*f**3 + 4*f**2 + 3*f**2.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34958.\nAnswer: 2, 7, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + ((-15)\/(-1) - 2). Let j be 4\/x + 2\/(-42). Factor 2\/7 - 2\/7*c**3 + j*c - 2\/7*c**2.\nAnswer: -2*(c - 1)*(c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 9:05 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2587, -10333, -23241, -41311, -64543?\n\"Answer: -2581*m**2 - 3*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 13 = 2*f. Suppose 3*q - f = -4. Let o(n) = q*n - 2 + 1 - 5*n + 0*n + 3*n**2. Determine o(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 2. Let d be z(-6). Let n = -24 + 25. What is the third smallest value in d, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*x - 145*x = 55539. Suppose 795 = 27*c - x. What is the highest common factor of c and 344?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -149023045*s**3 - 151001153 wrt s?\nAnswer: -447069135*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372\/(-392)*4\/14?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 58590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1233 is divided by 97.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -13*p + 15. Let b be r(-10). Suppose -2*n - 2*x = -33 - 17, 5*x + b = 5*n. List the prime factors of ((-114)\/(-5))\/(n\/90).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37.582 - -37. Let d = f + 0.58200498. What is d rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z + 4. Let y(o) = o + 2. Let h(a) = -3*u(a) + 5*y(a). Is 3 a factor of h(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/14)*d**(-2\/21)*d*(d*d\/d**(-2))**(-30))**30 assuming d is positive.\nAnswer: d**(-24995\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8895 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 86485926377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2367.77 rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, -16322, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -36. Let j be (-119)\/(-51) - 2\/k. Suppose -5*w + 2*u = -92 + 14, 0 = 5*w + 4*u - 84. Solve j*a + 4*o + 12 = 0, -5*o - w = 3*a - o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (17 + -11 - (0 - 2))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -10. Let v be (15\/4)\/(2\/k). Let u = v - 10. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130\/(-156)*(-6)\/40\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29 and 20329.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v = 7 - 7 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -1656*o - 9. What is the hundreds digit of x(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-114)\/462 + (-6)\/33. Sort -3.2, d, -3 in decreasing order.\nAnswer: d, -3, -3.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13062405?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*i = -70*i + 355160000. Round i to the nearest 1000000.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -56083, -35, 0.3 in decreasing order.\nAnswer: 0.3, -3, -35, -56083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w + 20. Calculate the least common multiple of p(12) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 29016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 125 - -178.1433.\nAnswer: 303.1433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + j = 3*f + 1395, -f + 479 = 5*j. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*c**2*k - 30*c**2 + 514815*c*k + 150*c - 3*k - 584 with respect to k.\nAnswer: 6*c**2 + 514815*c - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 110771 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k. Let y(a) = 3206*a - 204. Let i(r) = 12825*r - 918. Let o(c) = 6*i(c) - 27*y(c). Give o(s(b)).\nAnswer: -9612*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqfn when four letters picked without replacement from {a: 2, n: 8, q: 4, f: 2}?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 196\/42*(-24)\/14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 2\/7, -212?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*d**2)*(d**2 - d**2 + d**2 + (8*d - 2*d - 2*d)*(6 - 6 - 5*d)).\nAnswer: -38*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 m when three letters picked without replacement from {m: 18, b: 2}?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335706?\nAnswer: 2, 3, 7, 7993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**5 - 2*t**5 + t**5)*(15 + 9 - 10).\nAnswer: 42*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 11:35 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.0493\nAnswer: -0.1479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 11*v - 26. Let k be u(2). Let l be -5 + (-2 - 0 - -3 - k). What is the nearest to 1 in -0.2, l, 1, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**2. Let b(s) = -527085*s. Give b(u(v)).\nAnswer: 1581255*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 132*a**3 + a**2 + 4*a - 5. Give u(1).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22516*m**2 + 2*m - 4*m + 4*m**3 - 5*m**3 - 272 - 22244*m**2 + 3*m**3.\nAnswer: 2*(m - 1)*(m + 1)*(m + 136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x - 28*x - x**3 + 17*x.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60856 divided by -15214.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(539) + -3 - sqrt(539))**2 - (-1*sqrt(1584)*-6)**2.\nAnswer: -52164 + 126*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxg when three letters picked without replacement from uuxrvsggg?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Divide 86 by 3224951.\nAnswer: 86\/3224951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (50611\/(-86))\/(-107)*(10\/(-4))\/(-5)\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from {r: 1, g: 1, y: 4, i: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90445 is divided by 1027?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 + l + 2*l**3 + 41 - 14 - 17 - 18 to h*l + d*l**3 + w + z*l**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 101276563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 (base 16) in base 9?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*c = -0*c + 6, 0 = -4*o + c - 12. Let f(m) = m**3 + 4*m**2 + m + 2. Let j be f(o). Let g = j - 3. Solve 11 + 1 = g*v - 4*s, 3*s + 6 = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 4*i - 13, -11*u + 5*i = -10*u - 20. Sort -3, 21, u, -4 in increasing order.\nAnswer: -4, -3, u, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16631 and 2.\nAnswer: -33262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -4. Let z = 2 + g. Let p = -6 + 10. What is the third biggest value in -4, z, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 0 - 4*f**2 + 2*f**3 + 1 + 2*f**2. Let w be p(1). Let a = 254 + -246. What is the greatest common divisor of w and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 0 - 1\/120*g**6 + 0*g + g**2 + 0*g**5 + 0*g**4 - 2\/3*g**3. Calculate y(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780488?\nAnswer: 2, 97561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 849 + 0*g - 286 - 285 - 4*g**2 - 2*g - 282. Determine i(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -908425 = 83*h - 908840 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1245218852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0\/g)\/g)**6*(g\/g**(-4\/5))\/(g**(-1\/3)*g)*((g*g\/((((g**(10\/7)\/g*g)\/g)\/g)\/g*g))\/(g*g**7))**(-6) assuming g is positive.\nAnswer: g**(2279\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i - 15. Let m be u(18). Let h be (-41396)\/6 + (-14)\/m. Round h to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -139 - -309. Let h = -93 + l. What are the prime factors of h?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81 by -29577.\nAnswer: 27\/9859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**5\/20 - 2*i**3\/3 - 3*i + 1. Let c(q) be the first derivative of z(q). What is the second derivative of c(b) wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/6))**(18\/5)*(m*m**(4\/5))**(-2\/57) assuming m is positive.\nAnswer: m**(51\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -376, -68, -4, -91 in descending order.\nAnswer: -4, -68, -91, -376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.554279 + 0.543014?\nAnswer: 56.097293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + 61. Let p = -69 + u. Let h = -23.1 + p. What is the second smallest value in h, 5\/2, 11?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -199 - -205. Suppose g*j - 39165 = 6717. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 6*t + 24. Let o be q(8). Let r be o + (-5)\/(20\/(-12)). Suppose 2*h - d = r, 0*h + 2*d - 2 = -4*h. Solve -27 = 3*x - h*f, -f - 8 = -3*f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -20, -28, -40, -56?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 2:08 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 94*k**2 + 82*k. Let l be u(-1). Solve -16*t - 52 = l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -323 and 42 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*g = -392*g + 823*g - 832 for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 20 + 20. Let u = 0.4 - 0.8. Let k = 183518 + -1101109\/6. Sort g, k, u in ascending order.\nAnswer: g, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*j + j - 2*j)*(-11641*j - 11213*j + 1 + 23571*j).\nAnswer: -7170*j**2 - 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108))**2 - (sqrt(21)\/sqrt(28))**2 - (-2 + ((1 + sqrt(3))*4 - (sqrt(36)*-2)\/sqrt(12))).\nAnswer: -6*sqrt(3) + 421\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -524, -1770, -3014, -4256, -5496, -6734, -7970?\n\"Answer: d**2 - 1249*d + 724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/117*3\/((-45)\/6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - -1310722213264?\nAnswer: 1310722213299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 19\/6*f**3 + 28 + 0*f**2 - 17*f. Let v(j) be the first derivative of b(j). Let u(i) = i. What is u(v(d))?\nAnswer: 19*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*(0 + sqrt(19) + sqrt(209)\/(sqrt(11)*1) + sqrt(475) + -1 + sqrt(19) + 3 + 1))**2.\nAnswer: 96*sqrt(19) + 1252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -41, -2\/15, -0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1280361, 1.\nAnswer: -5, 1, 1280361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000519 to five dps.\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (19 - (7 + 4)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 100, 313, 716, 1369, 2332, 3665?\nAnswer: 5428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (42 - 37 - (-4 - -11)) + (11 - 1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/21 or -1\/3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbobbooyybyoyb. Give prob of picking 4 o.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -7, -16, -29, -46, -67, -92?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q - 1962 = 13*q. What are the prime factors of q?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -23*r. Let u(c) = 8*c. Let a be 156\/27 - (-6)\/27. Let j = 57 - 40. Calculate a*x(k) + j*u(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -703.58 + 689. Let x = 14 + y. What is x rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, i: 4, z: 9, y: 1}. What is prob of picking 2 i and 1 x?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q**3 - 20*q**3 + 2*q**3 - 39*q**3.\nAnswer: -73*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10320948?\nAnswer: 2, 3, 11, 67, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717 is divided by 266?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 b when three letters picked without replacement from {c: 3, y: 1, e: 1, r: 1, b: 4, t: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-3*1 + 0)\/(-2)*(732925 - 732910)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11 and 6023?\nAnswer: 6034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 < 5\/78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(98) - sqrt(98)*-1) + -2 + sqrt(98))**2)*-5 - (-4*(0 + sqrt(98)) + sqrt(98) + sqrt(98) + (sqrt(98)*1)**2*1)*3.\nAnswer: -4714 + 462*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/12 and -123\/323180?\nAnswer: 969540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047346 > 1047363?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 239749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-8 - -3) + 3 + 1 + -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0, 0.8, -1570, 0.3, 2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7026 + -7016. Let d(o) be the third derivative of 1\/10*o**3 - g*o**2 - 1\/200*o**6 + 1\/40*o**4 + 0*o + 0 - 1\/100*o**5. Determine w, given that d(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4*((-1674)\/(-24) + -3) is divided by 69.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 - 64. Suppose n = 5*f - 49 - 631. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*c - 52 = 0. Let p = c + -8. Solve -r + 5 = -2*q + q, -p*q = -r + 17 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = 10*y - 29. Let p(l) = -l**2 - 3*l + 13. Let r be p(y). Suppose r*h + 1420 = 8*h. What are the prime factors of h?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*f - 2*y = -43*f - 23, 50 = -4*f - 5*y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(-12) + -1 + (-2900)\/(-16).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**9*p\/((p**(2\/9)*p)\/p))\/(p**8*p\/(p\/p**(-1\/15))) assuming p is positive.\nAnswer: p**(83\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 393438, 786877, 1180316?\n\"Answer: 393439*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/117 and -43\/156?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)\/k)**(-39) assuming k is positive.\nAnswer: k**312","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 6. Which is the third smallest value? (a) 4\/3 (b) 0 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Let g(d) = d**2 + 29*d - 78. Let v be g(-32). Suppose -10*n = -n - v. Solve 0 = -3*r + r - 8, -n*r = x*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-9) - 3667\/(-18). Let s = -197 + r. Calculate the common denominator of s and -40\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -48183271781857.\nAnswer: 48183271781855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 103. Suppose 5 = 2*f + 3*d - z, 212 = 5*f + 3*d. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*y - 67 = 0, -2*y = -3*w + 3*y + 107. Calculate the remainder when w is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 2592?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001 + -1212012?\nAnswer: -1211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 4. Suppose -3*z - 40 = 4*n, -4*z - 44 = 2*n + 2*n. Let k = n + g. Let d(c) = c**3 + c**2 - c - 6. Give d(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/11 (b) 0.2 (c) 24 (d) 2\/21 (e) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -5*k**2\/2 + 29*k - 7. Determine s(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/70 and 61\/5999658.\nAnswer: 29998290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05151165 rounded to 5 dps?\nAnswer: 0.05151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1520*p + 1524*p + 5*r + 7, -22*p + 9*r = 3*r - 62 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 18*z - 21. Let k be s(17). Let l = k - -10. Let v be (15 + -12)*20\/l. Is v < 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17\/2? (a) 9 (b) 3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 27 = 2*f, -4*f + 0*f = i + 59. Let m = f - -25. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - u - 1. Let l(c) = -3823*c**2 - 5*c - 5. Determine -5*i(n) + l(n).\nAnswer: -3818*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 - -0.4. Let i(u) = -u + 8. Let y be i(16). Let l be ((-2)\/y*2)\/((-80)\/(-96)). Which is the third smallest value? (a) l (b) j (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 25*d**4\/24 + d**3\/6 - 3*d**2 - 93. Let w(j) = 9*j + 5. Let x(f) = -5*f - 3. Let b(i) = 3*w(i) + 5*x(i). Determine u(b(v)).\nAnswer: 50*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (85\/(-51))\/((-33572)\/2574 - -13).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30.5 + 43.4. Let t = -12.899941 + u. What is t rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 196702984, 393405974, 590108966, 786811960, 983514956, 1180217954?\n\"Answer: y**2 + 196702987*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - 5*i**2 + 6*i - 4. Let y be c(4). Suppose -4*h - 863 = -18*h - 695. Solve -l - y*f + h = -6*f, -23 = l + 5*f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43798 to the nearest one thousand.\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 723116.\nAnswer: 2, 180779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 - 7*c**2 - 4*c - 11. Let u(q) = q**3 + 7*q**2 + 5*q + 10. Let r(w) = 3*u(w) + 2*y(w). Let k be r(8). Is 9 a factor of k + 2 - (-26 + -8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.72 and 1.51.\nAnswer: 3.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h + 2*h**2)*(7*h + h**2 - h + 7*h).\nAnswer: 2*h**4 + 26*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-119)\/2975)\/((2\/(-4))\/(-1))\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 156 = s + 192, 2*z = -3*s - 133 for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 660.\nAnswer: -659.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 20 = -2*n + 5*n, -k + 2*n - 9 = 0. Let t(h) = 7444507*h**2 - 1. Let a be t(k). Suppose 0 = 5*i + a + 705494. Round i to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 1. Let r(l) = l**2 - 4*l + 6. Let f(q) = r(q) + 5*t(q). Let k(m) = -m**3 - 3*m**2 - 5*m - 6. What is 5*f(d) + k(d)?\nAnswer: -d**3 + 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b + 14*b - 5*b - b - 148. Let u be k(30). Solve 15 = -u*m - 3*t, t = -5*m - 0*t - 18 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -8, 0.2, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 13*y**2 - 4. Let a be w(-12). Suppose -2*j + 97 = 3*d, 3*d + 39 - a = 2*j. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -47, -99, -183, -305, -471, -687?\nAnswer: -959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 56.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 5:42 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1760886505?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 6*l**2 + 7*l + 45. Let j be s(-6). Suppose 4*n = 5*a + 462, -5*n = -j*a - 154 - 417. Calculate the remainder when n is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 5)*(-2*j**4 + 10*j**4 - 2*j**4).\nAnswer: -24*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-92))\/(0 - (-5)\/(-160)). Let q = 388\/161 + w. Suppose -q*l**3 + 2\/7*l**4 + 0*l + 0 + 18\/7*l**2 = 0. What is l?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 33. Solve -20 = -5*z + 3*h, 4*z - 4*h - 16 = -k*h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -27*l - 4. Let z be c(-2). Let f = -75 + z. Let p = f + 49. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + (-115)\/15)*3. Let y be (-638193)\/(-106260) - 2\/h. Let q = y + -25\/253. What is the common denominator of q and 19\/42?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-1 + 3 + -3). Let d be (36\/(-6) + -10)*p\/2. Sort d, -4, -2 in increasing order.\nAnswer: -4, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1400029015.\nAnswer: 5, 7, 11, 3636439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690.184 millilitres in litres?\nAnswer: 1.690184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 5*j + 18, -17 = -4*r - 3*j + 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k + 14. Let z(v) = 4*v + 13. Let j(p) = 5*a(p) - 6*z(p). Let c be j(11). Calculate the greatest common divisor of 21 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5390*h - 5373*h + 170 = 0 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6*f + 100. Let r(t) = 5*t + 99. Give -3*j(z) + 4*r(z).\nAnswer: 2*z + 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 1\/13 (c) -2\/15 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 515 - 187 + 212 = 180*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klolkkklkokll. Give prob of picking 1 k and 3 l.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*-3 + -2)**2*6.\nAnswer: 720*sqrt(13) + 70224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -4 (b) 0.8 (c) 3\/4 (d) -972\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 3*d - 5. Let y be x(3). Suppose y*g + 12 = 17*g. Put 2, -2, -6, g in ascending order.\nAnswer: -6, -2, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/321 and -27\/9844.\nAnswer: 29532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4 - 2*a + 0 + 4*a. Determine n(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/110782 and -53\/26292?\nAnswer: 208048596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, 7, 30, -2, 0, -10 in increasing order.\nAnswer: -10, -6, -2, -1, 0, 7, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*i**2 + 168*i**2 + 179*i**2 + 156*i**2 + 176*i**2 - 860*i**2.\nAnswer: 43*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -977304 divided by 22728?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 15 = 0, 5*q + 30 = 7*q - 4*i. Suppose 3 = k + q. What is the closest to k in -1, -0.05, -2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -3. Let w be (2*-1)\/(4\/10). Let f = -9983 - -9982.9. Which is the nearest to f? (a) h (b) 1\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5\/2 - 45*d**4\/2 + 83*d**3\/2 + 129*d**2\/2 = 0. What is d?\nAnswer: -1, 0, 3, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4904 divided by -1?\nAnswer: -4904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7191\/612 + -3*(-1)\/(-4). Solve -3*k + l + 1 = m, 2*k - 25 = 5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 122 + -121. Let a = -7 - -1. What is the smallest value in 2, -3, d, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55020 is divided by 18339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 444.\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (133*a + 97 - 97)*(3*a - 4*a - 3*a).\nAnswer: -532*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2710406 to the nearest integer?\nAnswer: 1646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 0*v - 1\/3*v**3 + 0 + 1\/3*v**4 + v**2. Let u(o) be the first derivative of 7*o**2\/2 - 2*o - 1. What is 5*g(f) - 6*u(f)?\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + z. Let x(v) = -13*v**2 + 18*v. Calculate 3*r(q) - x(q).\nAnswer: 16*q**2 - 15*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9ce5 (base 15) in base 16?\nAnswer: -820a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 542 + -307. Let s = c - 117.5. What is s rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 648 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 38 + 240 = 3*z, -3*z - 3*d = -273. Let k = -51 + z. Suppose 4*v - 16 = 3*p, 3*v - 3 - 2 = 4*p. What is the highest common factor of k and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (95\/342)\/((-20)\/(-8))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 226 + -221. Suppose d*u - 15 = 5*q, -2 = 5*u - 3*q - 11. Is u != 119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -425.1 - -425. Is c at most 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 6*s**2 + 6*s - 5. Let a be p(-7). Find the third derivative of -12*g**a + 4*g**2 - 15*g**3 - 11*g**2 wrt g.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1412*l**2. Let y(j) = 620*j. What is y(w(m))?\nAnswer: 875440*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 7870180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 937 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-16 - (-5 - 0)) + -5?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -77*c - 444. Let u(m) = 2*m - 12. Give u(v(j)).\nAnswer: -154*j - 900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - p + 27 = 0, -4*p = -6*j + 9*j - 86. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 56.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 612837527*f**2 - 8900799*f - 2 wrt f.\nAnswer: 1225675054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2803, -5387, -7971?\nAnswer: -10555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 256\/1301?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 141*a**2 - 3*a + 1641. What is x(0)?\nAnswer: 1641","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**4\/12 + 4*g**3\/3 + 7*g**2 - 31*g - 1. Let p be -9*4\/12 + -3. Determine w(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35066 and 9434.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(6*(sqrt(700) + 0) - sqrt(700)))**2.\nAnswer: 437500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -0.2 (c) -1 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(26460\/(-693) - 6\/(-33))\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**4 - 1336*q**3 - 32667*q**2 + 36670*q + 68000 = 0 for q.\nAnswer: -25, -1, 2, 1360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34*((-468)\/54)\/((-187)\/(-33)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.022, 0.2, -0.1, 1.15, -0.5, -0.4?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 9*g = 0. Let a(o) = o + 4. Let x be a(0). Put x, g, -3 in increasing order.\nAnswer: -3, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -125996754 or -125996753?\nAnswer: -125996753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*c**6 - 6*c**6 - 14*c**2 + 3*c**6 wrt c.\nAnswer: -1440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.6681366 to one dp.\nAnswer: 31.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-6 - -5) + 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20281, -81167, -182643, -324709, -507365?\n\"Answer: -20295*v**2 - v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 12:25 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**8*j)*j)\/j*j**(1\/30))\/(((j**(-4)\/j)\/j)\/j)**29 assuming j is positive.\nAnswer: j**(5851\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10198.\nAnswer: 2, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 544*x - 50*x + 90*x + (3 + 0 - 2)*(3 - 2*x - 3) to the form q*x + o and give q.\nAnswer: 582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/7 (b) 2 (c) 0.2 (d) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16180017, -16180025, -16180033?\n\"Answer: -8*w - 16180009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2580\/11 + -7751\/33. What is the second smallest value in -3.3, -4\/3, -22, m?\nAnswer: -3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 11) in base 5?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 850 is divided by 86.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -8*s + 4. What is the biggest value in s, 2, -19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 + 2*c**2 + 2*c. Let a be l(2). Let w be 2\/a*(-8 + -2). Let j = 9 - w. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s + 24. List the prime factors of q(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.85 - -0.15. Let k = -0.4 - l. Let r = -91 - -821\/9. Which is the third smallest value? (a) k (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**5 - 2027545*u**4 + 4055170*u**3 + 24330570*u**2 - 36496125*u - 54743985 = 0. Calculate u.\nAnswer: -405511, -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + (-4)\/(-5))\/(7\/(-140)). Solve 5*p + 4*w + m = 0, -p = -3*w + w + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4098 = -2*t, -5*h + 15*t + 10218 = 11*t. List the prime factors of h.\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -371*v**2 - 132*v + 136919 wrt v?\nAnswer: -742*v - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 160 - 176. Let i be (28\/d - -1)\/(2\/(-8)). Let o be (-1 - -1) + 24 + 0. Calculate the greatest common divisor of o and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k + 42. Let a be v(0). Let w be 21\/a + 3\/2. Solve 0*r - 6*r - 7*r**3 - 4 + 4*r + 9*r**3 + 4*r**w = 0 for r.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4\/5 - 485214*t**3\/5 - 58848451369*t**2\/5 + 470904068712*t - 4709428890320 = 0. What is t?\nAnswer: -242627, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4003.009355 rounded to the nearest ten?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59 + 6 + y**2 - 28 - 2*y**2 - y**2 + y**2 + (y + 4*y - 3*y)*(0 - y + 0).\nAnswer: -3*y**2 + 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -168079081 divided by 2508643\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -11. Suppose 2*x - 5 = k + 5, a*k + 40 = 5*x. Let f(b) = -b**3 - 6*b**2 + 5. Calculate f(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 - 36*y + 5)*((1 - y - 1)*(0 + 1 + 2) - y - 2*y + 5*y + 2*y + 4 - 4) to the form q*y**2 + l*y + z and give q.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7558412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 98.42694us?\nAnswer: 98426.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**7\/168 - 7*w**4\/24 - w**3 + 3*w**2. Let t(x) be the first derivative of b(x). What is the derivative of t(a) wrt a?\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from iibibqib.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**5 + 192*u**4 + 6003*u**3 + 5432*u**2 - 11628*u = 0.\nAnswer: -153, -38, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) - (sqrt(252) + sqrt(252) + sqrt(252)*-1 + 3)) + 2 - -3*(sqrt(1008) + 1)*5.\nAnswer: 14 + 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.045, -3\/4?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*m + 8358, 3716 = -5*s + 5*m - 10294. Is s greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h - 10*h + 3*h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8098 = 78390*d - 77424*d + 4460 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 49305?\nAnswer: -1\/16435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339259 is divided by 892.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 4:31 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9037 and 581.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -1\/6 (c) 15.90712\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-8) - 3*(-64)\/2. Find b such that 33*b - y*b**2 + 26*b**3 - 169*b**2 + 12*b + 38*b**3 + 57*b**3 - 2 = 0.\nAnswer: 1\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2150*g + 2100*g + 1850 for g.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90 - 194 - 103842\/(-999)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(22)\/sqrt(2))**2 + (sqrt(396) - (0 + sqrt(396) - sqrt(396)))**2.\nAnswer: 6*sqrt(11) + 416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 115*v. Let z(a) = 3*a - 2. Let h(y) = 4*y - 3. Let b(s) = 4*h(s) - 6*z(s). Determine c(b(w)).\nAnswer: -230*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (36\/21)\/(-6 - 22995\/(-3822)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -22*c**3\/9 + 19418*c**2\/3 - 4264978*c - 235964486\/9 = 0?\nAnswer: -67\/11, 1327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qo when two letters picked without replacement from ovqqhhooaoohohoiiii.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbgwkkrw. Give prob of sequence krwg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hcyyhyyhoo. Give prob of picking 1 o, 1 h, and 1 c.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -8\/9*k + 2\/9*k**4 - 10\/9*k**3 + 16\/9*k**2 + 0 = 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 seventeen quarters of a millennium?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1179.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pobq when four letters picked without replacement from qoyyoobpyqy?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 504*z + 5876.\nAnswer: 4*(z - 113)*(z - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 66083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1361736509.\nAnswer: 7, 79, 351779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/8*2)\/((-33)\/110)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 865*o**2 - 5993*o - 107. What is x(7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**2\/2 + h - 2. Let z(b) = 14*b - 3. Let r(g) = 4*v(g) + z(g). Is r(8) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 6*v**2 - 7*v + 2. What is y(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**6\/120 + u**5\/15 - u**4\/8 - u**3\/2 - u**2. Let r be 480\/(-210) - 37\/(-7). What is a(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.63*-239048\nAnswer: 2541080.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 300230754*d**2 - d - 197364808 wrt d.\nAnswer: 600461508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 5*g = 197 - 20, 0 = 5*g + 25. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2))**(-2\/33)\/(o*(o\/((((o*o*o*o**18*o)\/o)\/o)\/o))\/o*o*o*o**(-10)))**(-11\/3) assuming o is positive.\nAnswer: o**(-862\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*(sqrt(162) + 0 - sqrt(162))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -7 and 7\/9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3757 + 52625\/14. What is the common denominator of x and 6\/39 + 7635\/650?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 - 5*g**3 + 6*g**3 + 39 - 124.\nAnswer: g**3 - 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.51663 millimeters to centimeters.\nAnswer: 5.651663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75391, -150787, -226183?\nAnswer: -301579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -84170 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 3 - 3)*(8 - 3 - 18).\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 755.0229 + -755. Round c to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 2\/(4\/(-45))*1204\/(-1505)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6591046*b**4*n**2 + 351441*n**2 + 2*n wrt b.\nAnswer: -26364184*b**3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 770 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in 1, -4, -0.1249?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -10 - 998. Let o = j + -73. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1339*v - 21368 = -1341*v. What is v rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-21)\/y*y\/(y*y**(-9\/2))*y**(1\/10)\/(((y*y**(-25))\/y)\/y) assuming y is positive.\nAnswer: y**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461*s = 886*s - 360*s + 3508*s - 287680 for s.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 194801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 28 = 3*y, 20*y + 8*j - 877 = -765 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11221 (base 4) in base 5?\nAnswer: -2421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-301)\/1505*30\/(-3)*2\/(-18)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.639 and -113.\nAnswer: -108.361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36724042 is divided by 165.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-4 - -13)\/9. Sort -1\/10, 5\/6, q in descending order.\nAnswer: q, 5\/6, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1027*l = 1050*l - 299 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00592 + 1459.793.\nAnswer: 1459.79892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 949*i + 946*i - 24, 0 = -2*s + 3*i + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -10. Suppose -27 = k*u - 123. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1151, 2369, 3621, 4901, 6203, 7521, 8849?\n\"Answer: -v**3 + 23*v**2 + 1156*v - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 5*g + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 569.2383 millilitres?\nAnswer: 0.5692383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2823 divided by 164012\nAnswer: 2823\/164012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 12*w + 16, -c + 119*w - 120*w + 2 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -4*k + 32 + 26. Is 488 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 2 + 4 - 1 - 58*n + 4.\nAnswer: -58*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, f: 2, a: 1, h: 4, k: 7}. Give prob of picking 2 k, 1 f, and 1 d.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/3)*i)**(-43)*((i*i**(4\/9))\/i)\/(i*i*i*i**(-1\/2)\/i*i))\/(((i**(-2)*i)\/i*i)**(-1\/6)*(i*i**2)**(1\/3)) assuming i is positive.\nAnswer: i**(-545\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*v - 18 = 7, 5*v = 0. Suppose 81 = q*w + 3*p, p + 2*p = 2*w - 45. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 301032323 + 22?\nAnswer: 301032345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7786*r**2 + 7770*r**2 - 15564*r**2.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*v + 70*v - 36*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -138*z**3 - 11*z + 1. Let v(i) = -134*i**3 - 10*i + 2. Let c(s) = 2*b(s) - 3*v(s). Find the second derivative of c(j) wrt j.\nAnswer: 756*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 4*x + p, -x - 26 = 5*p - 40 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**2\/11 - 13068948*l\/11 = 0.\nAnswer: 0, 6534474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + sqrt(1300)*-1 + 1)**2.\nAnswer: -120*sqrt(13) + 1336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -11537465529314?\nAnswer: 11537465529313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -343.251 to 0 dps.\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2.72*-0.44\nAnswer: -1.1968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113198 is divided by 1462.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 - 1.2. What is the nearest to 1\/3 in -1, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172143.3 litres to millilitres.\nAnswer: 172143300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -135, -123, -97, -51, 21, 125, 267?\n\"Answer: r**3 + r**2 + 2*r - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6201.88627 - 0.11373. Is -0.1 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 4*j**2 + 0 + 7\/4*j**4 + 0*j**3 - 15*j. Let p(h) = 4 - 4 - 2*h. Calculate t(p(c)).\nAnswer: -84*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 21*m + 3. Let j(u) = -31*u - 4. Let w(k) = -7*f(k) - 5*j(k). Let s(x) = -x + 2. Let a be s(3). Calculate w(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -73\/2*n**2 - 4*n - 16. What is the units digit of c(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/3)\/1 - (-4 + 5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 c when three letters picked without replacement from rciwwigicriw?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 557367*o**2 - 25894015752*o - 543528559728.\nAnswer: -3*(o + 21)*(o + 92884)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32117714 + -48411286. Let r = 16293722.99862 + i. Let a = r - 151. What is a rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 7344282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 (base 10) in base 15?\nAnswer: aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -11 - (17 - (67 - 65)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -1. Suppose 0 = -g + 4*s + 18, i + 10 = g - 3*s. Which is smaller: g or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 - 9*f - 2. Let o(u) be the third derivative of -u**5\/20 + u**4\/4 + u**3\/2 - 5*u**2 + 3. Let k(v) = -2*o(v) - 3*x(v). Factor k(q).\nAnswer: -3*q*(q - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -67456.77 and 0.2.\nAnswer: -13491.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 4\/895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wtcdhhdadaa. Give prob of picking 1 t, 1 c, and 1 d.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 6*y + 28. Let z be w(-4). Suppose 16*n = 14*n + 4. Solve -z + 0 = n*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 89 = o + 3*v, -2*v = o - 43. What is the remainder when o is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 783 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 30075.9g in nanograms?\nAnswer: 30075900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25149688 divided by -4?\nAnswer: -6287422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48*m**3*x**3 + 4993*m**3 + 270*x**3 - 7*x**2 + 151*x wrt m.\nAnswer: 144*m**2*x**3 + 14979*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 25 = 5*o, -2*g = -4*o + 2 + 18. Suppose -260 = o*d - 1685. Suppose 0 = 4*z + z - d. List the prime factors of z.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.23*248\nAnswer: 57.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 6 + 5)*(0 + 0 - 3*o) - 16*o - 5 + 5 to the form c + s*o and give s.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/6)\/((-662)\/3972). Let u(j) be the third derivative of -j**4\/12 - j**3\/6 + j**2. Determine u(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3483.12 + -3483. Which is the biggest value? (a) r (b) -0.02 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 27*h. Let p(s) = 2*s**2 - 80*s. What is 5*p(j) - 14*x(j)?\nAnswer: -4*j**2 - 22*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 127?\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 33*((-14)\/(-3) - 4)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -61, -66, -69, -70, -69, -66, -61?\n\"Answer: u**2 - 8*u - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -963, -1930, -2899, -3870, -4843?\n\"Answer: -i**2 - 964*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (14\/21)\/(-2*(-4)\/(-3))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -12525e1?\nAnswer: -12525e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 356373 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1318\/3 + -440. Which is the nearest to -0.15? (a) 1\/5 (b) v (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-35)*j*j**(-2\/9)\/j*(j*(j\/(j*j\/j**(-4)*j))\/j*j)**37 assuming j is positive.\nAnswer: j**(-1982\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 1. Let p(q) = 7*q + 1. Let u(v) = 7 - 16 - 241*v**3 + 8*v + 240*v**3 - 3*v**2. Let j be u(-5). Calculate j*p(w) + 5*k(w).\nAnswer: 2*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, n: 9, j: 4}. Give prob of sequence rjn.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-5))\/f)**(-10) assuming f is positive.\nAnswer: f**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*g**4 - 6476320*g - 64563388 wrt g.\nAnswer: -24*g**3 - 6476320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 4, 123*i + 3*p = 127*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152 + 91 + -17 + -58.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 34802 (c) -5\/3 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**4\/12 - 2*m**3 + 14*m. Let u be f(-5). Let v be (-10)\/(-5) + 383*1. What is the greatest common divisor of v and u?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + a + 8 = 0, 4*a + 16 = 5*u - 3*u. Suppose -7*o + u*o + 462 = -3*f, 5*o = -2*f - 308. Let v = 327 + f. What are the prime factors of v?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12850622737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 219997 to the power of 1\/2, to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.288 + -0.012. Which is smaller: n or -2\/107?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 39881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 4. Suppose -o = i*o - 32. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 788 = 3*f - 2*v, 0 = f - 3*v + 2*v - 263. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25523.6439 rounded to the nearest 1000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x**2 - x + 1. Let c(t) = -35*t**2 + 5*t - 6. Let h(f) = -2*c(f) - 11*d(f). Determine h(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2200222202001 (base 3) to base 9.\nAnswer: 2628661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38129.5 decades to centuries.\nAnswer: 3812.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**2 - 225*w + 2385. Let i(b) = 4*b. Calculate i(m(a)).\nAnswer: 16*a**2 - 900*a + 9540","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 18*w + 12. Let s be (-2)\/(2\/13 + 0). Is m(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 + 60756*d**2 - 607323*d + 1275246.\nAnswer: -3*(d - 20242)*(d - 7)*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(0 - (-3)\/(-2)). Suppose -36 = 5*b + 4*z, -z = 2*z + 12. What is the tens digit of (h - b)\/(1\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35394 divided by -1041?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1895627\/(-78172))\/(11\/(-2)). Let r be (1\/(-19543))\/(4\/8). Let y = r - v. Calculate the common denominator of 5\/8 and y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4487*d**2 + 661*d**2 + 5272*d**2 + 4367*d**2.\nAnswer: 14787*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 5*n + 12. Suppose 35*m = 29*m + 546. Suppose -m*o = -83*o - 48. Calculate s(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 1136?\nAnswer: -1138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 488 + 748 = 0. Let w = t + -168. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 1001*p + 3985. Determine c(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -434 - -2172\/5. Find o such that c*o**2 + 2\/5 + 4\/5*o = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((-2*sqrt(171) - sqrt(171)) + sqrt(171)) + sqrt(171) - sqrt(171))*2)\/(sqrt(36)\/sqrt(16) + 2*sqrt(36))*-6 + -3.\nAnswer: -3 + 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3\/9 + 22*w**2\/9 - 50*w\/9 + 26\/9 = 0 for w.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6574531 (base 9) to base 2\nAnswer: 1101011110100101101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 + 2. Let j be u(1). Let n be (-2*3)\/2*-2. What is the derivative of 2 + 58*l**3 - 58*l**3 + n*l**j wrt l?\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -18, 0 in descending order.\nAnswer: 2, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -3771584 and 38.\nAnswer: -3771546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 38*s - 16. Let v be i(2). Let f(n) = n**2 + 2*n - 4. Let w be f(4). What is the highest common divisor of v and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**4\/12 + 7*l**3\/6 + 9*l**2\/2 - 2*l. Suppose 8*v - 27 = 11*v. What is the tens digit of c(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.2 (b) -2 (c) 510 (d) 1\/2 (e) 3 (f) 4 (g) 1\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/9))\/(v\/v**(-7)))\/((v\/((v*v**(-3\/2)\/v)\/v*v))\/v**(-1\/2))*(v*(v*v*v**(1\/2))\/v)**(-27)\/(v**(1\/4)\/(v\/(v**(2\/17)\/v*v)*v)) assuming v is positive.\nAnswer: v**(-46363\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -5 (c) -2\/29 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*m - 438 + 12*m + 22*m + 22*m in the form b + u*m and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, y: 9}. What is prob of sequence vvyy?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -243*b - 1460. What is m(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide (1120\/(-8))\/((-2 - 0) + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*c - 45*c = -25*a + 23*a - 322, -10 = -2*a - c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 2*a - 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**5 - 136*t**4 + 133*t**3 + 270*t**2 = 0.\nAnswer: -1, 0, 2, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*sqrt(99)*-4)\/(3*sqrt(1764)).\nAnswer: -12*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.2295684?\nAnswer: -0.09182736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) 8 (c) 1808\/2721\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence la when two letters picked without replacement from {y: 1, t: 1, l: 4, a: 2, i: 3}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 224374 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (-9 - -6)*2. Let b be (-3 - -96) + a\/(-4) + 4. Calculate the greatest common factor of 60 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.07 - 1.2. Let o = -1.68 + y. Let z = -0.19 + o. What is the closest to 2 in z, 4\/3, -3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 2*b**2 - 4*b**2)*(-294*b + 35*b**3 + 294*b).\nAnswer: -70*b**5 + 140*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 596 and 54.\nAnswer: 16092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from {t: 2, h: 7, p: 2, o: 1, m: 1, j: 4}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 0 - 5 - t**2 + 5*t + 5*t**2. Suppose 2*n = 5*s - 38 + 6, 4*n + 16 = -2*s. Is i(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53839146 minus 7?\nAnswer: -53839153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.011 - 3.011. What is the smallest value in -4.06, 2, l?\nAnswer: -4.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24.2 + -24.2000985. Round r to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 776.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*f - 2*l - 501 = 0, 0*f + 4*f + 26 = -250*l + 248*l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5214, -10429, -15644, -20859, -26074, -31289?\nAnswer: -36504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13\/29 (b) 2 (c) 4 (d) 10 (e) 0.335\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*((-244)\/36 - 2). Let m = q + -27. Which is the second smallest value? (a) -1 (b) -2\/7 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 - 9*z + 7. Let d be y(6). What is the highest common factor of 175 and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0 - 2 - -2) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3) + (-22)\/(-6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -47, -183, -411, -731, -1143, -1647, -2243?\n\"Answer: -46*b**2 + 2*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (-394)\/393*(-2)\/(-1). Is w greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 774891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 12 = -8*w. What is the lowest common multiple of w and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -15*q**2 + 15*q - 37. Determine g(4).\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93398026?\nAnswer: 2, 46699013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) 2\/3 (c) -35143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 30*b**2 + 0 + 13 + 83*b**3 + 94*b**2.\nAnswer: 83*b**3 + 64*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -175*o + 1228. Let w be y(7). Let r(a) = -12*a. Let h(v) = v**3 + 11*v. Calculate w*h(g) + 2*r(g).\nAnswer: 3*g**3 + 9*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*o - 7 = -19, -4*o = -2*j - 4. Let t(l) = -1 + 5*l + 0 + j*l. Let b = -1985 + 1986. Give t(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2d412 (base 14) to base 9\nAnswer: -182373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 3. Let a be 0 + 0 - -1 - -2. Suppose 5*z - z = a*n - 6, 6 = -3*n. Put z, -2, r in descending order.\nAnswer: -2, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a week in minutes?\nAnswer: 52920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**3\/2 + x**2\/2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4543 + 4542 - 3*b**4 - 3*b**3 + b**4 + 8*b**2 in the form k*b**3 + q*b**4 + x + l*b + o*b**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 18109555, 18109585, 18109613, 18109639?\n\"Answer: -b**2 + 33*b + 18109523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 3. Let f(c) = -172*c + 65. Let g(h) = -169*h + 67. Let l(d) = 5*f(d) - 6*g(d). Let q(p) = 2*k(p) - l(p). What is the derivative of q(u) wrt u?\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-2))\/(-1) - -2. Let i = 1 - l. Find the third derivative of -4*b**3 + 0*b**3 - 6*b**2 + i*b**2 wrt b.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.312835688 to 5 decimal places.\nAnswer: 0.31284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -262*i**3 - 2*i**2 - 1174*i - 6. Let v(k) = -262*k**3 - 3*k**2 - 1175*k - 8. Let w(f) = 4*m(f) - 3*v(f). Find the second derivative of w(x) wrt x.\nAnswer: -1572*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z**2 + 2*z - 1. Let l = 0 - 3. Let b be (0 + -2 - l)*1. Give g(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + (sqrt(684) + 1)*2 + 2 + (2 + 1 + sqrt(684))*2)**2.\nAnswer: 600*sqrt(19) + 17200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 727.089 - -21.031. Let t = o + -748. Let k = -5 - 0. Which is the closest to 1\/4? (a) t (b) -1\/2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1768\/558 + 0 + 40\/90. Is w less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 + 1)*-3*(5 - 1647\/324)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 320\/11 (c) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 15*i**2 + 34*i + 12. What is o(12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -204.82 rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g**2 + 7087*g**3 + g**2 - 41986*g**3 - 8406*g**3.\nAnswer: -43305*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -579, -1192, -1877, -2670, -3607, -4724?\n\"Answer: -6*d**3 - 571*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 60 (b) -5 (c) -12 (d) 2 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133, -120, -99, -70, -33?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10941 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74305 is divided by 1126?\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*x = 40*x + 560. Does 3 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*(-1 + -3*sqrt(112)*2*5) + 4)**2.\nAnswer: -1814402 + 1440*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7839, -19, 6 in decreasing order.\nAnswer: 6, -19, -7839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - -1 - (3 - -3)*(-189)\/6. Calculate the greatest common factor of u and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -184, 424, 2 in descending order.\nAnswer: 424, 2, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.11 bigger than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 106661 (base 7) in base 4?\nAnswer: 10230002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*sqrt(121)*-2*-4)\/((5*sqrt(528) + sqrt(33))\/(sqrt(9)\/(sqrt(3)*-1))) + 4.\nAnswer: -16*sqrt(11)\/7 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 201, 336, 467, 594?\nAnswer: 717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {w: 1, t: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2729776.656 to the nearest ten thousand.\nAnswer: 2730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgpg when four letters picked without replacement from {s: 6, w: 7, p: 4, f: 1, g: 2}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1155244, 1155656, 1156068, 1156480, 1156892?\nAnswer: 1157304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 2. Let h be (-6 + (-95)\/(-15))\/((-1)\/1). What is the closest to h in -5, -4\/5, n?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-2))\/(5\/(-25)). Suppose 2*j + f = -j + q, 3*f - 5 = -4*j. Let u be j\/(3 + 958\/(-320)). Round u to the nearest ten.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 4*o**2 + o - 6*o**2 + 8800000. Suppose -3*n = -6, 5*n = -3*l - l + 10. Let y be h(l). What is y rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**3\/5 + 2162*c**2\/5 - 209276*c\/5 + 4720816\/5 = 0?\nAnswer: -1172, 38, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 13*t - 12*t - 5*t + 5*t.\nAnswer: -22*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/43745 + -43729\/349960. Let z = 2.5 - 2. Put 0.1, m, z in ascending order.\nAnswer: m, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-295)\/10030)\/((-2 - -1)\/(-6)).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 + 13*i**2 - 25*i**2 + 12*i**2 - 9*i**3.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126) - -3*sqrt(126))\/sqrt(2) + (-6*sqrt(84)*-2)\/sqrt(12).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22677*s**3 + 33225*s**2.\nAnswer: 136062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-41 - -25) + 16 - (-3 - 3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*f - 4*w = -73*f + 18, 2*w + 16 = 7*f - 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 66?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 72525\/60 - (-3 - (-30)\/8). Let p = 15\/6179 + -52039643\/43253. Let f = a + p. Is f bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4747009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -71 + 67. Let h be (126\/(-72))\/(5\/q). Find l, given that -12\/5*l + 6\/5*l**2 - 8\/5 - 3\/5*l**4 + h*l**3 = 0.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2930 * 136\nAnswer: -398480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(42\/8 + -3). Let h be (-1)\/2*(-3 + 4). What is the second smallest value in -0.2, h, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 442819368 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + t + 7 + 0 = 0, -4*t = 4*u - 20. Let v be 9\/2 - u\/8. Suppose -v*z - z - 2*x + 95 = 0, -78 = -3*z + 3*x. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0685675 rounded to four dps?\nAnswer: 0.0686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1\/(-24)*(21 + -27)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q - 2*q**2 + 2*q**2 + 4 + 3*q**2. Let x be k(6). Suppose -5*j = 2*c + 3*c - x, -j = -3*c - 20. What is the smallest common multiple of j and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*v - 293295, 21852 = -3*f - 4*v + 197825. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -13. Suppose -3*c = -y*k + 4, k - 2*c + 0 + 2 = 0. What is the smallest common multiple of 32 and k?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -388 + -5?\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237959899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 13 = -4*h - 41 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24395087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 11304*x + 2313. What is the units digit of z(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2869 = -2534. Suppose 2*w = -3*w + z + t, 3*z - 37 = -2*w. What is the remainder when 837 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43544689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 7*g**3 - 3*g**2 + 12*g - 1. Let p be u(8). Let r be (-2)\/(-15) - p\/165. Does 9 divide -2 + (-258)\/(-9) + (-7)\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -20, 3856.\nAnswer: -20, 5, 3856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 34 = 7*t. Suppose 35 = -3*z + 965. Let w be (-2)\/9 - z\/(-18). Calculate the highest common divisor of t and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1204687672 divided by -301171918.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -255.74 + 249. Let v = -0.26 + t. What is the biggest value in -2\/3, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r**3 - 227*r**2 + 14*r + 15. Calculate d(-38).\nAnswer: 927","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -v + 5*n + 9, 3*v + 4*n + 35 = 0. Let z = -3 - v. Suppose 1329 = f + z*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 45*j. Let k(t) = 153*t + 943. What is the remainder when h(1) is divided by k(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*a - 4 = 4, 0 = s - 5*a - 20. Suppose 4 = 4*y - 0*y, -h + 3*y + 6 = s. Suppose 3*u = -0*u + h. Solve 3 = u*w + 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of 0 + 0*d**3 + 4*d + 1\/20*d**5 - 1\/3*d**4 + 1\/2*d**2. Let t be 15\/((-360)\/16)*18\/(-4). What is x(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25071 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*x = 144 + 1664 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -264*s**2*v - s**2 - s*v - 16226*v - 342516 wrt v.\nAnswer: -264*s**2 - s - 16226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192121.\nAnswer: 192121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y**2 - 2*y**2 + 0*y**2)*(97 + 16*y + 100 - 196) as x*y + s*y**3 + r + c*y**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -3 (c) 3 (d) -0.3 (e) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*k**2*l**2 - 2486*k**2 + 5977*l**2 wrt k.\nAnswer: 4*k*l**2 - 4972*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((6\/(-4))\/3). Suppose -c*l + 0*d = 4*d + 10, -2 = l + d. What are the prime factors of l - ((-2)\/(-1) - 12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77*(14\/12 + 3\/(-18)) is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 9 = -2*g. List the prime factors of (10\/(-3))\/((-1)\/g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3396 or -48535?\nAnswer: -3396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2298 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1428730, -1428664, -1428612, -1428580, -1428574, -1428600, -1428664?\n\"Answer: -m**3 - m**2 + 76*m - 1428804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36*455\/2925*(50\/(-12))\/5?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggz when four letters picked without replacement from {z: 13, g: 5}.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -105 + 192. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1295 - 1298. Let o = -4.88 + -0.12. Let b = -3 - 4. Sort b, n, o.\nAnswer: b, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 7*c + 9. Let a = -13 + 19. Calculate the remainder when a is divided by b(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6159310 + 5.\nAnswer: -6159305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 246452648?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -558*x**3 + 1667*x**3 - 552*x**3 - 556*x**3 - 5 - x + 3*x.\nAnswer: x**3 + 2*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 135 = -2*l - 114, -12 = l - 3*h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 4:45 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 993375601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a - 9*a - 8. Suppose 3*m = -u - u, a*m = -8. Suppose -q = -4*f - 58, -3*q + u*f + 153 = 15. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h - 14*h + 20*h + 17*h**2 - 90*h**3 - 20*h**2.\nAnswer: -90*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 362 - 259. Sort -0.2, 0.1, -5, k in decreasing order.\nAnswer: k, 0.1, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 641189 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/11070 and -39\/50.\nAnswer: 55350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 57 - 58.02. Let t = 4 + -3. Let q = t + g. What is q rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13283, -26563, -39843, -53123?\n\"Answer: -13280*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + i + 1. Let w(b) = b**3 + 6*b**2 - 6*b - 3159. Let l(h) = -4*a(h) - w(h). Is l(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002172 rounded to 4 decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 3*q. Let i be u(6). Suppose 4*r + 2*f - i = 0, 4*f = r + 3*f. What is the remainder when r is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**5\/15 - 2*j**2. Let w(i) = 16. Let k(c) = -9*c + 48. Let h(t) = -k(t) + 3*w(t). Give h(b(n)).\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 2*y + 217, -2*y + 660 = 3*f + y. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 448 and 59206?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -302 - -310. Let r be -2*114\/(-2 - 0). Suppose d*a = r + 14. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*n**2 + 612*n**2 - 194*n**2 - 188*n**2 - 39*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 11*u + 1. Let p = -6 + 5. Let i be k(p). Let x be 1\/(-5)*i\/(-4). What is the closest to x in -2, -3\/5, 0?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1\/3, 0, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6881 - 1659 = 373*b for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 1322 = k, -q - 783 = 2*q + 4*k. Let u = 7606 + q. Let s = u + 2959. What is s rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 775 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 5, -5, 84, 818, 0.2, 3 in descending order.\nAnswer: 818, 84, 5, 3, 0.2, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from {g: 1, t: 1, r: 1, d: 1, i: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 9*b + 2*w + 12, -3*w - 5 = 2*b. Let q(m) = -m**2 - 27*m + 30. Calculate the remainder when b is divided by q(-28).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a week in hours?\nAnswer: 6636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**4\/8 - j**3 - 30*j**2 + 2. What is k(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 292.3 + -292.0254. Let m = -0.27458403 + n. Round m to 7 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/15)\/((-2)\/30). Solve -2*w = -5*w - p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 179, 8, -1 in descending order.\nAnswer: 179, 8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 20010200022221?\nAnswer: -20010200100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10, 25, 48, 85, 142?\n\"Answer: o**3 - 2*o**2 + 14*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33242277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 50900127*k**2. Let j(u) = -13*u. Give b(j(c)).\nAnswer: 8602121463*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7205 rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-17)*(-32480)\/25. Let s = 382 + q. What is the biggest value in s, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -17. Let y = p + -9. Suppose -5*k = y*t - 75, 5*t + 0*k - 120 = k. Calculate the remainder when t is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*-4 - (-40 - -18). Let i(y) = -y**3 + 19*y**2 - 18*y + 6. Calculate i(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 27, 3, 4, 138 in decreasing order.\nAnswer: 138, 27, 4, 3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-324)\/10 + (-10)\/(-25). Let l be 4\/3*684\/j*-2. Let u = l + 48. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -262\/1017 - -4\/113. Let k = 14\/81 - -40\/81. Which is the second biggest value? (a) 27 (b) z (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28834 - 17837. List the prime factors of v.\nAnswer: 7, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1044604*o**3 + 1937*o**2 + 8*o + 3?\nAnswer: 6267624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3333 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(8)\/sqrt(4)*4)**2 + -4) + -5.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, 0, 1\/11, -10.19?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 3*d - 7. Let o(a) = 2*a + 8. Determine 5*o(i) + 4*v(i).\nAnswer: 4*i**2 - 2*i + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -7*j - 6. Let a(h) = 5*h + 19. Calculate -4*a(w) - 11*l(w).\nAnswer: 57*w - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h + 3. What is the remainder when 66 is divided by i(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -736\/7 + 6610\/63. Which is the third smallest value? (a) -14\/11 (b) 0.4 (c) -3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 10791\/2806?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 56*q - 99. Determine o(-57).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/45)\/(1*6\/9).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -195*s**3 - 478 wrt s?\nAnswer: -585*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12682 is divided by 5834?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061910089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 13*h**2 - 207*h + 34. Let v be k(16). Suppose 0 = -2*s + 2*j + 158, -5*j - 23 = -3. Calculate the highest common factor of v and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1951 is divided by 159?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11\/10, -0.22, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*t)*(-3*t**2 + t**2 + 6*t**2)*(-3 + 3 - 3)*(-4 - 2 + 4) to f*t**2 + z + q*t + i*t**3 and give i.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 522 - 72. Find the common denominator of 1165\/v - (-14)\/105 and -105\/46.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 4*a - 2*u + 354, 0 = 2*u. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -842, -837, -832, -827, -822, -817?\nAnswer: -812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4588 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 10*n**2 + 3*n - 14. Let v be x(10). Suppose -5*k - v = 14. Let z be 2\/k + 13\/3. Solve -z*m + 5 = 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -1, -10, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 309230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -28*w**2 + 24*w + 18. Let t(k) = 13*k**2 - 11*k - 9. Let j(b) = -6*h(b) - 13*t(b). Calculate j(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 865999255?\nAnswer: 5, 11, 233, 67577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44534 divided by -6.\nAnswer: 22267\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (817 - 82*i**3 - 816 - 92*i**3)*(4*i - 5*i + 2*i).\nAnswer: -174*i**4 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-8))\/(1\/(-4)). Let t = 38 + -36. Differentiate -f + 5 - 4*q**2 + q**t + 1 wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003173518 rounded to seven decimal places?\nAnswer: 0.0000317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*s - 47*s + 366. Suppose -2*z - s = -k - 0*k, -5*k + 5*z + 905 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 100 = -4*d, -d + 10 = d. Let g = p + 21. Solve -3 - g = 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - m - 282624, 2288*m + 4 = 2287*m. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w - 3675. Let h(y) = 17*y**2 + 178*y + 2. What is i(h(c))?\nAnswer: 34*c**2 + 356*c - 3671","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 - -41. Calculate the common denominator of (-122)\/(-8) - (-3)\/t*-4 and -21\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m - 20. Let x be c(-4). Suppose -1400 = -x*z - 16*z. Calculate the lowest common multiple of 84 and z.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -30. Let r = t - -140. Let a = r + -124.99999877. What is a rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5173 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*t = -278*t + 153*t + 5*u + 315, -17 = 4*t + u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-7252)\/8)\/7)\/(1\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 5:35 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 2355*f + 2360.\nAnswer: -5*(f - 1)*(f + 472)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 1863 - 944 - 919.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b. Let g(v) be the third derivative of -v**6\/120 + v**4\/12 + 6*v**2. Let n(k) be the second derivative of g(k). Calculate i(n(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 450909.23 rounded to the nearest 10000?\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**3*q**2*t + h**3*q*t**2 + 5*h**3*q*t + h**2*q + 2*h*q**2*t**3 + 5*h*t**3 + 7*q**2 wrt q?\nAnswer: 4*h**3*t + 4*h*t**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 1\/12*g**4 + 2*g - 2 + 0*g**3 - g**2. Let q(y) be the first derivative of r(y). Differentiate q(x) wrt x.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**4 - s**3 + 0*s**3 + 6*s**4 + 3*s + 4 to the form k + h*s**4 + u*s**3 + i*s**2 + j*s and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*f - 62885, -3*y - f + 43134 = -19727. Is 70 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 599213.\nAnswer: 599213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**2*o**3 + 11*j*o**3 + 3*j*o + 353*o**3 + 3*o wrt j.\nAnswer: -4*j*o**3 + 11*o**3 + 3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -8*k - 238. Determine u(-29).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 + 3*l**3 + l**2 + 2*l**3.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 5*j**2 + 3*j + 7. Suppose 0 = -3*m - 1 - 14. Let o be n(m). What is the tens digit of (-15)\/(-20) - 194\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*a + 302 = -5*a, 2*g = -5*a + 326. Let r = -147 + g. Sort 3, r, -4 in increasing order.\nAnswer: -4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y + 6. Suppose 2*t + 3*n + 25 = -2*n, -2*t + 5*n + 5 = 0. Let d be v(t). What is the units digit of (14\/d)\/((-1)\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 4*n, 5*h - 3*h - 5*n = 2. Is 6\/(-8) + (-59)\/h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 13*i**4 + 224*i**3 + 623*i**2 + 496*i + 84 = 0.\nAnswer: -14, -2, -1, -3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1694, 5, 34, 0.\nAnswer: -1694, -4, 0, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 66 + 2*w + 415 - 108*w**2 - 123 + 784*w**2 + 798 wrt w.\nAnswer: 1352*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1666 + -31632\/19. Let r = -34\/95 + h. Which is the second biggest value? (a) -5 (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3241955.79 rounded to the nearest ten thousand?\nAnswer: -3240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2932503491?\nAnswer: 19, 59, 2615971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12829035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -20, -13, -2, 13?\n\"Answer: 2*k**2 + k - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -30.94, -0.5, -3, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -52*o**5 + 107652*o**4 - 130180*o**3 - 4631220*o**2 + 10215272*o - 5561472 = 0. Calculate o.\nAnswer: -7, 1, 16\/13, 6, 2069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1960)\/160 - 6\/8. What is the closest to 0.1 in 1\/2, g, -0.4, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0839487 and -1.\nAnswer: -0.9160513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2404433?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 52. Let f = 296889841.99999955 - 296889861. Let q = f - s. Round q to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, x: 8, m: 2, e: 4}. Give prob of sequence hx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28176\/361592*2\/4.\nAnswer: 3\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -15664 divided by 2\nAnswer: -7832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from tuutuuuuttutttuu?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(10\/9)*b*b**(-1\/4) assuming b is positive.\nAnswer: b**(103\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332279368.\nAnswer: 2, 2221, 18701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -809*u + 3354*u - 2 - 1767*u + (-2 - 3 + 4)*(-u - u + 4*u) to q + a*u and give a.\nAnswer: 776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 145, 182, 257, 382, 569, 830, 1177?\n\"Answer: 2*p**3 + 7*p**2 + 2*p + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 17, 24.\nAnswer: 3, 17, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -824302*s**4 + 793118*s**2 wrt s.\nAnswer: -19783248*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3895641239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 217038.7ml in litres?\nAnswer: 217.0387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 5:53 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-6) + (-138)\/(-9). Suppose 2*s - b = s. Let q = -34 - -40. Solve q - s = 5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1282*h + 73*h + 26228213 + 4676*h - 26228213 in the form k + v*h and give v.\nAnswer: 6031","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 0, 5, -3.\nAnswer: -3, 0, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + r = 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in -0.3, 5, -1.8, 2\/17, 41.7?\nAnswer: 41.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -281450 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28466 divided by 86.\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (37 - -3)*2\/4. Solve 5*a + c = 5*j, j = -2*a + 2 + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/29, 20326, -3\/8, 3\/5, 1, 3 in increasing order.\nAnswer: -3\/8, 1\/29, 3\/5, 1, 3, 20326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 192661 to the power of 1\/2, to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(36\/360).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, k: 1, d: 7}. Give prob of picking 1 q, 1 k, and 1 d.\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 658944.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 92 (c) -2\/11 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23565, -23141, -22433, -21441, -20165, -18605?\nAnswer: -16761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.12? (a) -4 (b) -1\/9 (c) 2\/3 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (540*j**3 - 896364*j**2 + 896364*j**2)*(0*j**2 + 3*j**2 - 2*j**2).\nAnswer: 540*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631855 is divided by 3084?\nAnswer: 2719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1 - 142*j**2 + 129*j**2 + 0*j + 105*j**2 + 0*j. What is f(1)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/4*-1*9*-4*(-63)\/(-168)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -535 (base 14) to base 13\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) -1 (c) -243\/4 (d) -2\/15 (e) -2\/3 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 2 - 1) + -32 + 32?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15563.7 rounded to the nearest 10?\nAnswer: 15560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*g*g\/((g*g**(-2\/11))\/g*g)*g*g*g**(6\/11)*g*(g**(7\/2)\/g)\/g*g*g\/g**1*g assuming g is positive.\nAnswer: g**(225\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a day in minutes?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - (-1 - (-15)\/3). Solve f*r + 3*r - 5 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -16*y**3 - 16*y**2 - 9*y - 2. Let v(o) = -o**3 + 4*o**2 + o + 1. Calculate -r(a) - 4*v(a).\nAnswer: 20*a**3 + 5*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddd. What is prob of picking 2 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 158 - (-10 - -6 - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 754 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(2970\/924) - (0 - 39)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/3 + 18\/(-6))*-3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*v - 1099*v = 4240 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 3\/5 (c) -0.48 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*b**5 - 364011*b**2 + 13357358*b wrt b.\nAnswer: 240*b**3 - 728022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77.44 + -77.34. Which is the nearest to 1? (a) -3 (b) v (c) -1\/37 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 not equal to 569744?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-39 - -37) - (-13 - 1)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240922 is divided by 63.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -15*u**2 + 1 + 58*u - 57*u + 4*u**2. Let o be (-2)\/(-2) - (-1)\/1. Suppose -2*j = -2*i - 8, -o*i = j + 8 + 3. Calculate g(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3325*h - 262626. Calculate v(-79).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l - 4. Let o be x(3). Suppose 0*h + 20 = o*h. Let j(r) = -2 + 0*r + 4*r + h*r - 4*r. Let q(c) = 2*c - 1. Calculate 2*j(t) - 5*q(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 3978 and 30.84274248.\nAnswer: 4008.84274248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1098159 or 1098147?\nAnswer: 1098147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 times 93.53607?\nAnswer: -7295.81346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {w: 1, a: 1, t: 1, r: 2, v: 1, g: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/5))\/(d*d**(2\/27)))**32\/((d*d**(-5))\/d**6*(d**(1\/3))**(-3\/35)) assuming d is positive.\nAnswer: d**(19333\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*g - 42 - 90 + 41*g**2 - 86 + 218.\nAnswer: 41*g**2 + 33*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 13*u + 10 = 0. Solve 0 = -0*x - 2*x + u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22551 (base 7) in base 12?\nAnswer: -3409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1011 - 1010.8. Which is the biggest value? (a) 10\/17 (b) -2\/9 (c) 2\/7 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529109 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -344, -340, -336, -332, -328, -324?\n\"Answer: 4*h - 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 6, 2*l = -4*a + 3*l + 19. Suppose 4*r = a*j, 3*j - 22*r - 35 = -26*r. Solve -2*h = -2*m - 1 + 11, -3*h + 1 = j*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 12 + 2. Let a be 20716\/14 - 4\/x. Round a to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-22)\/(-4))\/11)\/(6\/4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**2 + 3*m - 2. What is b(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -3. Let q be (-58)\/70 + (-4)\/(-10). Sort q, b, -3.\nAnswer: -3, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157\/((-67824)\/960) - (-894)\/378?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 687?\nAnswer: 2748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03046 + 45.03046. Let b = -85709348.0000006 + 85709303. Let h = b + p. Round h to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8010.1 - -8010. Which is the nearest to 1? (a) 2\/9 (b) p (c) -0.4 (d) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/12)\/2*0. Sort 4, f, 1, -3.\nAnswer: -3, f, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*b - 470*b + 304*b.\nAnswer: -572*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6)*(-15)\/(-5). Calculate the remainder when (-370)\/5*s - 0 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -6.9, 11, 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (-2 - -1) + 184. Let w be (-4)\/10 + g\/25. Let o(n) = 4*n**2 + 3*n - 1. Let h(j) = 9*j**2 + 7*j - 2. Let v(b) = w*o(b) - 3*h(b). Factor v(l).\nAnswer: (l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (2 - 1 - -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2417 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6711.86*0.39\nAnswer: 2617.6254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 3*a + 12, -4*i + 5*i = 2*a - 1. Suppose 3*f + 5*z = 3*z + 75, -i = -3*z. Suppose -f*r + 366 = -17*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.8 + 0.2. Let d = -0.5 + 0.9. Let q = 12.6 + -9.6. Which is the nearest to 0.2? (a) d (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*o**5 + 0 + (-o**5 - 2*o**5 - o**5)*(-1 + 0 + 8).\nAnswer: -30*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24\/13 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -16, -26, -42?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**4*p + 4324*j*p**3 - 5*p**3 + 3*p**2 - 177*p wrt j?\nAnswer: -4*j**3*p + 4324*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(181\/488 + 21\/(-56))?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -188107 or -0.3?\nAnswer: -188107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 550 and 34446610.\nAnswer: 172233050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 1.8. Let h = -78\/11 + 680\/99. Which is the nearest to 2? (a) h (b) w (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21 + -8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 9, v + 2 = h - 3. Let q be h + (6 - (-3 + 6)). Suppose 64 = -q*i + 159. What is the remainder when i is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/37876824 and -61\/46293896?\nAnswer: 416645064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - x + 353 = 4*w, -w = -x - 77. Is 60 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -9*o. Let p(s) = 169*s + 221. What is p(u(q))?\nAnswer: -1521*q + 221","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 437 = -2*v - 163, -v + 2*m - 301 = 0. Let l = 312 + v. Solve l*t - 11*t + 10 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 160 - -112. Let r be (5\/10)\/((-2)\/(-140)). Let m = r + o. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*(2*sqrt(9))\/sqrt(3).\nAnswer: -4*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 193 + -256.4. Let o = q + 6.4. Let r = o - -56.99999488. Round r to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177*580356.\nAnswer: -102723012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 - 68*q**2 - 70*q - 125. Let s be p(-33). Solve 340 - 291 = s*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 4340.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 29 + 23 + 21 - 72 + q. Let u(r) = 2*r**2 + 50*r + 48. Let n(g) = 2*j(g) - u(g). Factor n(z).\nAnswer: -2*(z + 1)*(z + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + 5)*(-7)\/14 + 275550 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 53. Suppose 0 = 3*g + 4*l - 58, -5*g + 5*l + s = -40. Calculate the greatest common divisor of g and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 4, j: 1, l: 2, q: 10}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411692532?\nAnswer: 2, 3, 19, 421, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 0*u**2 + 15 - 5*u**2 - 29 + 14 + 2*u. Let z(y) = 14*y. Calculate v(z(d)).\nAnswer: -980*d**2 + 28*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-112)\/(-21))\/(2\/3). Let d = -11 + q. Let u be 15126*(-238)\/4 + d. Round u to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -13 - -14 - 44 - (-10 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5360705us to nanoseconds.\nAnswer: 536.0705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/11))**(-19)*(k*k**(-3\/4))**25)**(-4\/9) assuming k is positive.\nAnswer: k**(-41\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.401 + 0.401. Which is the closest to -1\/7? (a) r (b) 4 (c) 3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 6*a + 5. Suppose 0*d + 2*r = 2*d + 16, r + 36 = -3*d. Does 6 divide f(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/3781 and 47\/54725.\nAnswer: 1039775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 1732*s**2 + 22656*s + 381. What is h(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417853485 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 k, and 1 s when four letters picked without replacement from {f: 2, s: 4, k: 1, o: 9}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*o - 3*r + 40 = 263*o, 0 = -3*o + r - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-365)\/(-520) + (-17)\/221?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**18)**(-49) assuming n is positive.\nAnswer: n**833","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -246 or -2218\/9?\nAnswer: -2218\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 2, b: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rsi when three letters picked without replacement from erisqsa?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -5.2. Let s = 0.82 + a. Let o = s - -0.38. Which is smaller: o or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.32 + 4.82. Let s = 2 + -2. Let h = 0.5 + s. What is the second smallest value in t, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-39508)\/560 + 74 - 6\/5. Factor 5\/2*w + 1\/4*w**2 + m.\nAnswer: (w + 1)*(w + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/495 and -1\/14580?\nAnswer: 160380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 5670573632518.8\nAnswer: -5670573632518.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*g - 75 + 455 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*v - 2)*(6*v + 3*v - 4*v + 4*v - 6*v + 3*v + (v - v - v)*(4 + 0 - 2) - 1 - 3*v + 1 + (0*v - v - v)*(2 + 0 + 1)) to f*v**2 + s*v + u and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = t - 75 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 461.1999 hours to microseconds.\nAnswer: 1660319640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -88, -178, -290, -442, -652, -938, -1318, -1810?\n\"Answer: -3*f**3 + 7*f**2 - 90*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*k - 14. Let c = k + 4. Calculate the smallest common multiple of c and ((-16)\/3)\/((-3)\/9).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02256004 - -0.77.\nAnswer: 0.74743996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1040 + 2376 + 346 - 207)*(-5*q + 3 - 3) to the form z + s*q and give s.\nAnswer: -17775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 0*v + 4*v + 0 + 1. Let s(p) = p**2 - 6*p + 9. Calculate the remainder when s(8) is divided by z(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10786 - -10791. Solve 2*n = 5*p - d - 0, -4*p - n = -4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 70 + 23 + 2*c**3 + 18.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**7\/630 + 53*l**4\/6 + 70*l. Let d(k) be the third derivative of y(k). Let o(a) = 6*a. Determine d(o(x)).\nAnswer: 144*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/4374 and 73\/14.\nAnswer: 30618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 799182400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -287.3 + 287.5. Which is the nearest to 1? (a) 0 (b) 10 (c) i (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmrgddddbbbrfbg. Give prob of sequence rgg.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.01 in 5, 3, -2\/11, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 2:41 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 0, 4*g + 2*o = 4*o. What is the nearest to -0.1 in -1, g, 0.15?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*r**3 - r**2 - 7\/2*r - 1.\nAnswer: (r - 2)*(r + 1)*(3*r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -340214, -680428, -1020642, -1360856?\n\"Answer: -340214*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -2*p**2 + 5\/32*p**4 + 3\/8*p**3 + 0*p + 7\/240*p**5 - 5 + 1\/480*p**6. Factor v(t).\nAnswer: (t + 1)*(t + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j. Let x(p) = 158574*p. Give m(x(z)).\nAnswer: 475722*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n - 19 - 17 + 36 - 4*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123477692*j**2 - 21*j - 123477690*j**2 - 9*j.\nAnswer: 2*j**2 - 30*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 544, -20, 5, -3, 2, -5 in ascending order.\nAnswer: -20, -5, -3, 2, 5, 544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*q - 2*x - 0*x, 0 = -2*q + x + 7. Let k(n) = 8*n**3 + n**2 - n. Let b be k(q). Suppose 5*l - 4*l - b = 0. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120119*s - 478 = 119641*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 8*t**2 - 2*t - 5. Let m(s) = 5*s**2 - 8*s + 4. What is the smallest common multiple of q(-8) and m(6)?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**5 - 666*g**4 + 4566*g**3 - 11016*g**2 + 10983*g - 3870 = 0.\nAnswer: 1, 2, 3, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 12:03 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*j + 111, o + 100 = -4*j - o. Let s be 3*6\/(-18) - j*1. What is the highest common factor of s and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(110)\/((sqrt(250) - sqrt(250)*-5 - sqrt(10)) + sqrt(10)).\nAnswer: -4 + sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 5:28 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 126759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 72377232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 15, 225, 7, -2, -16 in descending order.\nAnswer: 225, 15, 7, 0, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -2821?\nAnswer: 2821.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26695, 213642, 721063, 1709194, 3338271, 5768530, 9160207, 13673538?\n\"Answer: 26706*f**3 + f**2 + 2*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 8*i**2 - 13*i + 6. Let l be 52\/12 - 5 - 10\/3. Let p(f) = f**3 + 4*f**2 - 2*f + 2. Let q be p(l). List the prime factors of s(q).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2323 divided by -7\nAnswer: -2323\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e - -536?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*h - 3. Suppose 5*g - 4*c + 3*c + 161 = 0, -4*c - 49 = g. Let f = 32 + g. Is h greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*j + 2 = -6, 2 = -3*o - j. Suppose o*v - 6000 = 2*v. Round v to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/10)\/((-10)\/75). Sort -0.07, 2\/3, j in decreasing order.\nAnswer: j, 2\/3, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*h*m**3 - 3*h*m + 7*m**6 + m**2 + 1 wrt m?\nAnswer: 42*h + 840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*d**5 - 101375*d**3 - 210521*d + 1.\nAnswer: 860*d**3 - 608250*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57678995 to the power of 1\/2, to the nearest integer?\nAnswer: 7595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42472*271.\nAnswer: -11509912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2))**(3\/2)\/(z**0*z**12))**(-30) assuming z is positive.\nAnswer: z**450","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3034.6 rounded to the nearest one hundred?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 873707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b*c**3*d*u + b*c**3 + 43*b*c**2*d**2*u - 3*b*c*d*u - 26*c**3*d**3*u - c**2*d**3 - u wrt c?\nAnswer: 24*b*d*u + 6*b - 156*d**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-170)\/20 - -5)\/((-2)\/20). Suppose -9*w = -b*w + 130. Solve 3*j - 2 = -u, j + w*u + 1 = 11 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1702, -8812, -28106, -65674, -127606, -219992, -348922, -520486?\nAnswer: -740774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + 14)*10\/2. What is the tens digit of g\/(-3)*2\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -2\/9 (b) -28 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*m - 46*m - 20. Suppose -i - m = 45. Let t = -64 - i. Put 4, t, -4 in increasing order.\nAnswer: -4, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) -2 (c) -5 (d) 12 (e) 430\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -4*t - 11, 3*t - 3*h = -0*t - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 2*j + 4*j)*(0 - 12 + 8)*(0 + 0 + j - 2*j - j + 4*j + (-2 + 2 + 1)*(-5*j + 3*j + 4*j) + j + 0 + 0 + 2*j - 3*j - j - 2 - 2*j + 2).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1361646.\nAnswer: 2, 3, 11, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6221 is divided by 6212?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-2)\/(-10)*0)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -175, -496, -821, -1150, -1483?\n\"Answer: -2*c**2 - 315*c + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-10) + 1192\/40. Let q = r - 11. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1679, -1677, -1665, -1637, -1587?\n\"Answer: m**3 - m**2 - 2*m - 1677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 9:06 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 5848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j + 86. What is t(21)?\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51884072 is divided by 33259?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3974, 3869, 3774, 3695, 3638, 3609, 3614?\nAnswer: 3659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 79.844063598.\nAnswer: 78.844063598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 0, -450 in descending order.\nAnswer: 3, 2, 0, -450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 7:45 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1491 and 68515?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 49538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -2267, 2\/5?\nAnswer: -2267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78 - 78.2. What is the second biggest value in -1, d, 0.1, -1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -12, -3*v - 33 = -5*c - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/3*k**5 + 0*k - 1\/3*k**3 - 2\/3*k**4 + 0*k**2 + 0 = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2874 + -1628. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*n**3 - 2169*n**2 + 2169*n**2 - 6 + 4*n - 5*n to t*n**3 + k + a*n**2 + m*n and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(18\/(-14) + 26\/91). Let v be (-2)\/5*(-18554)\/y. Let z = v + 1849. Calculate the common denominator of 9\/8 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 350 by -2118.\nAnswer: -175\/1059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30030301 - 100201?\nAnswer: -30131102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 139\/1230 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -234856 by 58714.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3242372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 775\/2919?\nAnswer: 775\/2919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11299200 by -23540.\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 189 = 5*r. Suppose 44 = -3*c + 2*c. Let y = r + c. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 273155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -9. Let h(k) = k + 11. Let j(a) = -4*h(a) - 5*s(a). Does 5 divide j(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1892, 3812, 5734, 7658, 9584, 11512, 13442?\nAnswer: 15374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759 is divided by 130?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 75544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 22, -3, 2, -4 in increasing order.\nAnswer: -4, -3, -2, 2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 281*l - 302. Calculate r(0).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1766*k - 24716. Determine o(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6045 is divided by 85.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 - j + 5. Let b(r) = -6*r**2 + 4*r - 15. Let h(c) = -6*b(c) - 17*i(c). Is h(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 2*l - l)*(-6 + 2 + 3) + l - 3*l + l + 4*l - l - 6*l + (0 + 2 - 1)*(-3*l + 2 - 2).\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007044 to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 b when four letters picked without replacement from {b: 3, d: 6, y: 2, x: 8}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-16)\/136)\/(-1).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25814 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**5\/60 + b**4\/4 - b**3 + 2*b**2. Let s be j(4). Calculate the smallest common multiple of 4 and (36\/30)\/(s\/10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26108\/12915 < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 6:05 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4355104ml in litres?\nAnswer: 0.0004355104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23698269?\nAnswer: 3, 7, 389, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 7*g - 4. Let p be c(6). Let a be ((-22)\/(-4) - 2)*p. Let t be 10\/(2\/1)*1. Which is smaller: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/69141731 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 w when three letters picked without replacement from {z: 4, f: 2, d: 1, w: 2, s: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - (-18 + (-17 - (9 + -55))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 8 = 5*y, -3*q + 2 = -6*q - 2*y. Let t(k) = -k**3 + 7*k**2 + 3*k - 18. Let o be t(7). Which is the biggest value? (a) q (b) o (c) -1 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + 1. Let r(f) = -32*f**2 - f - 2. Suppose -10*w = -5*w + 25. Let b(x) = w*h(x) + r(x). Find the second derivative of b(v) wrt v.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, 0.1, 4, -13.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23.32 or -122433?\nAnswer: -122433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 9. Suppose 10 = 3*q + 4. Suppose 0 = q*o + 3*s - 29, -62 = -5*o - 0*o - 4*s. Let f be l(o). Calculate the highest common factor of f and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 5, 4, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1246)\/5 + (-3)\/(-15). Let s = 1995\/8 + u. Which is the smallest value? (a) s (b) -4 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*l = 10 + 23, -4*l - 20 = 5*g. Let h = 13 + g. Suppose -104 = -h*r + r. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 189781*a*j**4 - a*j**2 + 2*a*j - j**4 - 3*j**2 - 6026*j + 7 wrt j?\nAnswer: 4554744*a*j - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 359, 3546, 6733, 9920, 13107?\nAnswer: 16294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -233156?\nAnswer: -233157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 0 - 1 + 2*m + 2*m. Let s be o(-2). Let f be ((-12)\/s)\/(-4)*-21. Calculate the highest common divisor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58.89 + -3.\nAnswer: 55.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**3 + 7*y**2 + 6*y + 1. Let h be x(-1). Does h = 14\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/26 - (-4794)\/442. Calculate the greatest common divisor of 275 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22.39 + 2086\nAnswer: 2063.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 77359186049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 35051581889+2.748\nAnswer: 35051581891.748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-3*sqrt(209)*2 + sqrt(209))\/(sqrt(1584)*-1))**2.\nAnswer: -10*sqrt(19)\/3 + 2779\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9401202?\nAnswer: 2, 3, 522289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011000001 + -1010110110100?\nAnswer: -10100001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96854005?\nAnswer: 5, 181, 107021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 490 + -485. Solve -3 = -4*s + b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13892 < -13908?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h - 68 + 3 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 greater than or equal to 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s**2 + 2*s - 1. Let z(n) = -5*n**2 - 3*n + 2. Let l(g) = g**3 - 6*g**2 + 2*g + 21. Let o be l(5). Determine o*r(h) + 4*z(h).\nAnswer: 4*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55 + 2*b - 6 + 0*b - 4*b to d*b + c and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/350*14*-7*49\/21?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58236597 is divided by 1127?\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(5) + -4*sqrt(20) - (sqrt(5) + 0)*3) + sqrt(30)\/(sqrt(6) + sqrt(54)) + -4)**2.\nAnswer: 156*sqrt(5) + 8629\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**5\/8 + o**3\/3 + 5*o. Let k(v) be the second derivative of l(v). Is 3 a factor of k(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/156*-6)\/((-162)\/1152)?\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1141533 (base 6) to base 16\nAnswer: ea81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdcy when four letters picked without replacement from {m: 3, i: 1, d: 2, y: 2, c: 11}?\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 40*q + 656. Give y(37).\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -652166.558 to the nearest ten.\nAnswer: -652170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3075 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33340 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -565 or -1030?\nAnswer: -1030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r. Let d(l) = 55*l. Let h(z) = 11*z. Let g(t) = 2*d(t) - 11*h(t). Give g(w(s)).\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -186, -716, -1582, -2778, -4298, -6136?\n\"Answer: j**3 - 174*j**2 - 15*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**7\/30 + w**6\/24 - w**5\/30 - 2*w**2. Factor n(i).\nAnswer: i**2*(i + 1)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hor when three letters picked without replacement from olrrloyh.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**3 - 320*q**2 - 2032*q - 2752 = 0. What is q?\nAnswer: -4, -2, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.9 * 0.9.\nAnswer: 2.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, z: 1, b: 8, r: 1, f: 1}. Give prob of sequence rf.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0092 rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 4*d**2 + 2. Let q = 2 - 1. Let t = -3 - q. List the prime factors of m(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -564188, -1128368, -1692548?\nAnswer: -2256728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 10*m**2. Let k(l) be the second derivative of l**4\/24 - 21*l**2\/2 + 21*l. Let f(v) be the first derivative of k(v). What is f(s(n))?\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvqq when four letters picked without replacement from {q: 1, v: 14}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from dsssdd?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from piiiiipeipiepieiiiei. What is prob of picking 2 i?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-8)*d**(-8)*d**(-4)*d*d\/d**(-2\/13) assuming d is positive.\nAnswer: d**(-232\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -8. Let g be 3\/d + -2 - 18749. Let f be (11712\/9)\/(4\/g). Round f to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 265 - 337. List the prime factors of ((-209)\/(-2) - 2)*s\/(-15).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -298831?\nAnswer: -1195324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 3*x**2 - 7*x**2)*(-4*x + 3*x + 8*x + x - 2*x - x + (1 + 1 - 4)*(2*x - x - 4*x)).\nAnswer: -44*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230113.\nAnswer: 13, 31, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 r when four letters picked without replacement from {c: 12, r: 7}?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 - 4568?\nAnswer: -4552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**4\/24 + 15*q**2. Let k(j) = j. Let m(x) = 12*x**2 + 10*x. Let u(z) = -10*k(z) + m(z). What is b(u(w))?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8061 divided by -2687?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37198 - -37181. Sort 40, -1\/2, 2, g in decreasing order.\nAnswer: 40, 2, -1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2671337 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 112332436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 125 + -124. Let m(g) = 165*g**3 - 2*g**2 + 2*g - 1. Let a(f) = 4*f**3 + f**2 - 6*f + 4. What is the remainder when m(k) is divided by a(2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56650 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -7*n**5\/20 - n**4\/6 - n**3\/2 - n. Let s be t(-2). Suppose 0*a = 3*a - s. What is the highest common factor of a and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**4 - 17*u**3\/3 + u**2 - 8*u - 166. Calculate the remainder when y(7) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 500 - 500. Suppose -48*i + 62*i - 140 = h. Sort -2\/3, -1, i, -0.4 in increasing order.\nAnswer: -1, -2\/3, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-9)\/(-27))\/(2\/(-18))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3416029?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1936949)\/(-77) - (-2 - (-48)\/22). Is (u\/(-6))\/5*(-6)\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*k - 461, -3*f = -6*f - k + 332. Is f 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 483?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 10 = -0. Suppose 7*y = s*y + 15. Solve 0 = a - y*a + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + (sqrt(21)\/(sqrt(9)\/sqrt(3) + sqrt(3) + sqrt(3)))**2 + -3 - ((sqrt(56)*6)\/sqrt(2) + sqrt(700) + 0)**2.\nAnswer: -30512\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 341160 divided by 12\nAnswer: 28430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 254a - 0?\nAnswer: 254a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-264))\/(5535\/(-9840)).\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(17) + -2)*4 - -1*sqrt(17)*5.\nAnswer: -8 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -107*d**2*y**3 - 88*d**2*y**2 - 3*d**2 - 1259*d*y**2 + 287*y**3 wrt d.\nAnswer: -214*y**3 - 176*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -446, -438, -426, -410?\n\"Answer: 2*z**2 + 2*z - 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1767406158 to the power of 1\/2, to the nearest integer?\nAnswer: 42041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 44 = -8*m. Solve 6*p = 3*y + p - 4, -5*y + m*p = -10 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5, 2, -3, -10, -19?\n\"Answer: -h**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*l**3 + l**3 - 4*l**3)*(-40 - 27 - 78) + l**3 + 0*l**3 - 4*l**3.\nAnswer: 1592*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 10*g - 6. Let m = 14 + -23. Let s be d(m). Let a be -2 + 2 + (-1 - -3). Solve -a*x = s*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 16*i**2 - 3*i - 13. Suppose 0*m - 63 = 4*l + m, -2*l - 4*m - 28 = 0. Let o be j(l). What is the greatest common divisor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r - 20*r = 15. Let n be 0*1\/r*(-3)\/2. Solve 8 = 2*j - n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-14)\/(-3))\/(4\/6). Let z(o) = 2*o**3 - 8*o**2 - 5. Let x be z(6). What is the hundreds digit of (3 + (3 - h))\/((-1)\/x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8, -149, -406, -763?\n\"Answer: -50*x**2 - 7*x + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7125 - -7005. Let y = -0.23 + 0.13. Is a less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*r**2 + 16059 - 175*r**2 - 16051 + 54*r**2 + 45*r**2.\nAnswer: -17*r**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, 0, 66, 128, 186?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 471299\nAnswer: -141389.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1213370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*x**3 + x**3 - 2*x**3.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j. Suppose 8 + 16 = -3*k. Let c be (-1)\/(-4) + (-22)\/k. Suppose -4 = c*r - 1. What is n(r)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 272 + -268. What is the biggest value in q, 0.4, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + f. Let v be u(0). Let o(w) = -w**3 + w**2. Let b be o(v). Factor -3*h**3 - 4*h**2 + h - h**4 + 5*h**2 + 2*h**3 + b*h**2.\nAnswer: -h*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of -y**8\/1512 + y**7\/189 - 6*y**2. What is q in t(q) = 0?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + -0.2. Let k = i + 0. Let j = -7 + 11. Which is the biggest value? (a) k (b) -0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/5*(-2535)\/195?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 - 20*o - 9. Let d = 606 + -591. What is the remainder when m(d) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -394635.5986 - -394599. What is y rounded to 0 dps?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75184573*k**3 - 10*k + 741426.\nAnswer: -451107438*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 405125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88*(-5)\/40*(-546)\/(-77)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 315, 635, 955, 1275, 1595?\n\"Answer: 320*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + j = -9. What is the third derivative of -3*y**j + 5*y**2 + 0*y**5 + 3*y**5 + 3*y**3 wrt y?\nAnswer: 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s. Let w(m) = 2*m - 6*m + 3*m + 7*m - m. Calculate 6*r(p) - w(p).\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/8*(-222)\/(-1924)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -49. Let o = -31 + b. Let m = 57.9 + -58. What is the third smallest value in m, 4, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9312, 18654, 27982, 37290, 46572, 55822?\nAnswer: 65034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 10. Let t = -1 - -9. Let n be b(t). Suppose 5*p - 3*z + 29 - 118 = 0, n*p + 3*z - 23 = 0. Calculate the lowest common multiple of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**(-3)*p)*p*p*p**(-1\/2)*p)\/(p**11*p*p**(-1\/3)) assuming p is positive.\nAnswer: p**(-79\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from mcmmttemtm.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4055, -9963 in increasing order.\nAnswer: -9963, 0, 4055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -183*c - 765. What is the tens digit of h(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 4:58 PM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from tttnn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5421 - 10460?\nAnswer: -3037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(21)\/sqrt(7)*5*-6 + -2 + sqrt(147) + sqrt(3) + ((sqrt(3) + -2)*4 - sqrt(3))**2).\nAnswer: -267 + 210*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - 1. Let v(a) = 3*a**2 - 3*a - 6. Let g(b) = 6*j(b) - v(b). Factor g(k).\nAnswer: -3*k*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -4*24\/32?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, y: 1, l: 2, d: 1, z: 2, n: 1}. What is prob of picking 1 d and 3 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 14*v. Let g(b) = -5*b. Let f(y) = 17*g(y) + 6*m(y). Let i(l) = 9*l. Let x(u) = 5*u. Let a(q) = -3*i(q) + 5*x(q). Determine 3*a(p) - 4*f(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/9)\/(-2)*(-12)\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 8 - 2)*(4 + 115*m - 144*m - 5).\nAnswer: 203*m + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75599689?\nAnswer: 11, 19, 23, 15727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -341 (b) -2\/7 (c) -1\/16 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65140861\/5 at most as big as 13028171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000108335 to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98897 - -98901. Let n = -1.1 + 6.1. Let z = 0.1 - 0.2. What is the closest to u in z, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/14 and 77\/150?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17883, 35761, 53627, 71475, 89299, 107093?\nAnswer: 124851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 979912 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 n, and 1 f when three letters picked without replacement from {p: 4, f: 7, n: 6}?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13814 divide 374704750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/163520 and 20\/5621.\nAnswer: 1798720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25240 and 262.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -17, -11, -3, 7, 19?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*j = -19, -m + 18 = -0*j + 3*j. Suppose o - 3 = m. What is the least common multiple of o and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1815+0.052\nAnswer: 0.2335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 16521*g**2 + g - 360. Let t be m(-16). Round t to the nearest 100000.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -4, 11445 in decreasing order.\nAnswer: 11445, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 27, 71, 105, 129, 143, 147, 141?\n\"Answer: -5*n**2 + 59*n - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37628276 - -566.384.\nAnswer: 37628842.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 9:04 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 1:05 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*r - 0*m - 62, -4*r - m + 36 = 0. Suppose -r*w = -3*w - 2856. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-2)*172\/(-3). Let a = i - 40. Suppose g = 3*g - a. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/(-1)*(-6)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 14*h**2. Let d(g) = 1123527*g. Calculate d(u(f)).\nAnswer: 15729378*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-7)\/14*(-2)\/33\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59 and 295?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/5)*f)\/(f**2*f))\/((f**2*f)\/(f*f*f**(3\/5)*f))*((f**0*f)**(-6))**36 assuming f is positive.\nAnswer: f**(-1086\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*s = 3446, 5*s = -2*x + 5*x - 3449. Suppose 0 = -7*w + x - 126. Suppose 3*r - 70 = w. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*c, -4*n - c + 2*c = -51. Suppose -2*z - n + 80 = 0. Let a = 41 + -24. What is the remainder when z is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3836038887 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 16*u - 48. Suppose -8 = 2*o + 2*z, -u*o + 4*z + 12 = -8*o. Put o, -5, 4, 0 in increasing order.\nAnswer: -5, o, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 34 = 7*c + 86, 60 = -3*l - 3*c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (544\/68)\/((-2)\/1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 2*n + 2. Let r = -6 + 2. Let o(v) = -4*v**2 + 3*v + 6. Let z(l) = -11*l**2 + 9*l + 17. Let x(d) = -8*o(d) + 3*z(d). What is r*x(m) + 5*h(m)?\nAnswer: -m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -32892.\nAnswer: -65784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -361717, -723354, -1084989, -1446622, -1808253?\n\"Answer: p**2 - 361640*p - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*z + 36, 3*f + 4 = -8. Suppose 5*g + z*w = -0*w + 561, -448 = -4*g - 4*w. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.64919624 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 take away 6891?\nAnswer: -6889.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y**2 - 616 + 13*y**2 + 2524 - 1908 + 2*y.\nAnswer: 23*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 213353 or 175?\nAnswer: 213353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-6) - 2\/4. Let g be 1 + (0 - 4*j). Suppose x - g - 16 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24799 is divided by 24601.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*c + 14. Let l(q) be the second derivative of 0 + 0*q**3 + 1\/4*q**4 + c*q + 1\/2*q**2. What is the first derivative of l(v) wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -11*k - 21. Let b be h(-6). Suppose 2*o - 5*g - 116 = -b, g = -3*o + 81. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 7*o**8\/96 - 13*o**7\/14 + 29*o**6\/6 - 38*o**5\/3 + 15*o**4 + 8*o**3\/3 + 362*o**2 + 2*o + 8. Factor l(v).\nAnswer: (v - 2)**4*(49*v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -269*a**4 - 13*a - 3 wrt a.\nAnswer: -3228*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 - 107.244. Let j = 0.16 + t. Let w = 0.084053 + j. What is w rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*j - 7. Let y = -1119 - -1125. What is the least common multiple of j and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-321)\/(-15) - 2\/5. Suppose -3 = -4*l + k. Suppose l*u - 201 = 3*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spwbece. Give prob of sequence ce.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 + 7*a - 2. Let z(r) = -r**2 + r - 1. Let f = -121 - -119. Let d(s) = f*z(s) - q(s). Give d(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 5*g. Let r(c) be the second derivative of 0*c**3 + 0 + 0*c**2 + 1\/12*c**4 + 3*c. Give n(r(d)).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 7*d**2 + 6*d - 2. Let v(x) = -8*x**2 - 11*x - 20. Let b(m) = 40*m**2 + 57*m + 111. Let a(t) = 2*b(t) + 11*v(t). Give -5*a(f) - 6*g(f).\nAnswer: -2*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/3)\/(3\/99). Suppose 0 = 2*z - z + 17. Let u = f + z. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9956 - -90697\/9. Let p = q - 123. Calculate the common denominator of 3\/4 - 3\/12 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -97594288167 and 652.\nAnswer: -97594287515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + w - 17 = 2*u, 2*u + 2*w = 16. Suppose 0 = -5*i + 1 + 4. Let f be (-16)\/(-4) + i*-2. Which is smaller: f or u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -310 - -311. Let v(j) = -3*j. What is v(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.34 + -7.34. What is the closest to -5 in u, 0.4, 4\/3, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16719\/2 (b) -0.26 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-28)\/a)**(-34\/7)*(a*a**(-28))\/(a**(-18\/7)\/a) assuming a is positive.\nAnswer: a**(822\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633276029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6*g + 3*k = -89, -83 = -4*g + k. Suppose -24*j + g*j = 0. Suppose 5*t + 22911 + 24589 = j. Round t to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 1\/2*q**4 - 5\/2*q**2 + 0*q - 6 + 0*q**3. What is the second derivative of c(z) wrt z?\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*f + 39138 - 8439 = 1270*f for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25608523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -4747 > -4745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1200221000022 (base 3) in base 12?\nAnswer: -377168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -5, -30540 in decreasing order.\nAnswer: 5, 1, -5, -30540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*h - 68*h - 67*h - 59 + 213*h.\nAnswer: 2*h - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/7)*m*m**(-3\/20))\/((m**(2\/35)\/m)\/(m\/(m**12\/m))) assuming m is positive.\nAnswer: m**(-1089\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27846116 less than 14.9441?\nAnswer: -27846101.0559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 52, -9, -5, -4, -258 in ascending order.\nAnswer: -258, -9, -5, -4, 4, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -156*d**3 - 7*d**2 - 21*d + 17. Let s(a) = 157*a**3 + 6*a**2 + 18*a - 15. Give 6*b(w) + 7*s(w).\nAnswer: 163*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 10*s = -247. Calculate the least common multiple of 2 and (s\/4)\/((-5)\/(-20)).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90.000041 - 90. What is x rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1926\/6019 or 1?\nAnswer: 1926\/6019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 1)*(4 - 1 - 4)*(18*i**2 + 45 - 45).\nAnswer: 54*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from gwvgvgwgwg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-9)*3*(-12)\/6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91 - 91. Solve g*f = 3*f + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 12:32 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.973 - -2.973. Let d = -0.31 + 0.3. Which is the nearest to 1\/3? (a) 1\/3 (b) y (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245270617.\nAnswer: 439, 558703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -5. Let w = -1.2 - -0.2. Let v = w + 3. Which is the biggest value? (a) 0 (b) g (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h. Let n(j) be the second derivative of j**4\/12 + 17*j. What is n(i(m))?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {m: 7, t: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -5. Suppose v*s = 97 - 16. Suppose -s = -4*b + 17. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 129 = 2*v - 51, -2*v - 6*r = -250 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 4*f - 37 = -5*y, 5*y + 3*f = 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60.863 - 0.137. Let x = f - -60.966. Let i = -0.434 - x. What is the smallest value in i, 2\/5, 0, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1540 + 2872. Let i = -30821\/26 - 1431\/13. Let o = p + i. Calculate the common denominator of o and -113\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/420344 and -54\/55.\nAnswer: 23118920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*a + 8 = 0. Let t be 2\/(-8) - 18\/a. Suppose -53*m - 44*m + 97 = 0. Solve -11 = -5*x + 4*g, t*g + m = x - 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -17*u - 3. Let s(h) = -2*h - 1. Calculate -m(w) + s(w).\nAnswer: 15*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -35150, -25\/3, -1.35?\nAnswer: -35150","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/8 - 15\/(-12). Suppose -x*n = n - 957. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/56 - 16\/(-7). Suppose -g*s = -4*s + 8. Suppose 0 = s*d - 3*d - 14. Solve 2*b - 2*t = 8, -3*b = t - 5*t - d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9700 by -178.\nAnswer: -4850\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 55*b*c**3 - 1941*b*c**2 - 18*c**3 - 1134 wrt b?\nAnswer: 55*c**3 - 1941*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(144)*2)\/(-2*sqrt(600)))\/(((sqrt(72) - (sqrt(72) - (sqrt(72)*2 + sqrt(72))))*-1)\/(2*sqrt(729))).\nAnswer: 6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008201742 rounded to 7 dps?\nAnswer: -0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/7 - 18\/(-42).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-127*p + 127*p + 15*p**3)*(-278 - 64 - 116 - 37).\nAnswer: -7425*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/14*2\/5. Let b = -9.4 + 11. Let c = 1.3 - b. What is the nearest to 3\/2 in c, -1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002098 rounded to four dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - 30155?\nAnswer: -30134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 235438543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-29056)\/(-18) - 136\/612) + -6. Calculate the highest common divisor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83.16 + 83.16. What is the fourth biggest value in a, 190, -2, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -8*j + 1. Let s = 4 - 0. Suppose 0*t + 4 = -s*t. Let m be i(t). Solve -z - 3*p = -2*p - m, -5*z + 41 = 4*p for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42230617 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {z: 6, m: 1, y: 2, a: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/(((l*l*l\/(l**(1\/17)\/l)*l*l)\/l*l)\/l))*l**(2\/43) assuming l is positive.\nAnswer: l**(3646\/731)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3\/6 - 7*v**2 + 43*v\/6 = 0. What is v?\nAnswer: -43, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + 1.5. Is l <= 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14275 and 33689.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 18\/(-27)*(-264 - 5)*(-195)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.250873 litres?\nAnswer: 9250.873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 70712.7 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 314*n**2 - 23128*n - 1. Calculate p(196).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 + j + 1. Let g be h(1). Let y be 5*g\/(1\/1). Let f = -15 - -10. Put 3, f, y in descending order.\nAnswer: y, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 39*l = 148*l + 2024 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5837 - -6266. Does 50 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20663.8076 to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 11\/3*d**3 + 0 - 6*d + 175\/48*d**4 + 49\/80*d**5 + 3\/2*d**2. Suppose s(p) = 0. What is p?\nAnswer: -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-4)\/(-1)*(-152)\/19)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 - x**2 + 4*x**2 + x - x + 3*x**2 + (2*x - 4*x + 4*x)*(-5*x + x + 5*x) + 4*x**2 + 1 - 1 to u*x + f*x**2 + j and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-564)\/(-16) - 22 - 13?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1038.81 - -1039.11. Let q = -0.2 + 0.6. Which is the nearest to 0? (a) r (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from insnssnsninnny. What is prob of sequence is?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 3*n + 31. Determine j(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*i**3 + 11*i**3 + 12*i**3 - 375909 - 375793 + 751702.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, -1, -2, -3 in decreasing order.\nAnswer: 65, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1159866 + 1159889 = 8*d - 3*p, 2*d + 4*p + 56 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32091 + 32091.0002611. Round h to 5 dps.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (1 - 3\/42*18). What is the second smallest value in 0.5, -1, u, 31?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*k - 3*k - 1 + 1 to the form y + s*k and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11030489.\nAnswer: 43, 71, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 815478.\nAnswer: 2, 3, 135913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1666 times -6\nAnswer: -0.9996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*m - 18 + 348. Does 22 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129066709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 60 = -59, s + 4*y - 37 = 0. What is the remainder when 219 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3248)\/322 + (18\/10 - -8 - (-1)\/5).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(5\/4)\/g)\/g**12)\/(((g*g**(-2))\/g)\/g*g**7))**(-4\/29) assuming g is positive.\nAnswer: g**(63\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*w. Let h be 248\/10 - (-16 - 316\/(-20)). Solve 4*y = j - w*j - h, -10 = -2*y - 4*j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0028986735 rounded to five decimal places?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -903 times 6\nAnswer: -5418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 0. Suppose 5*c = -4*x - 16, -x - 2*x = -c - v. Solve y = -j - 2, -2*j = 5*y + 12 + x for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 - 0 - (2240 - 2209)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/3 - -2)\/(-2). Suppose -3*j - 5 + 1 = f, j - d = 2*f. What is the tens digit of (j - -5)*(-65)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2225 divide 829179625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 16 + 0 + -2 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 13, 1, -25, -71, -143?\nAnswer: -247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of -4*k**5\/5 + 4*k**4 - 8*k**3 + 8*k**2 - 4*k + 25. Factor c(z).\nAnswer: -4*(z - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2826, -5858, -9090, -12522?\nAnswer: -16154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 382*6\/(24\/4). Suppose 0 = -3*x - 9, 0 = -c - 2*x - 226 - 16. Let y = b + c. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0733174 to three decimal places.\nAnswer: -0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 653404253?\nAnswer: -653404255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (62 - 19 - (3 - -12))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 30957 - 124?\nAnswer: 30833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 198.37572883 to the nearest integer.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c + 286 - 326 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-22)\/(b**(3\/11)\/b)*b**(-21)*b*b\/b**(-2\/5) assuming b is positive.\nAnswer: b**(-2193\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4034 + -523235?\nAnswer: -531313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11970924 is divided by 4245.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, z: 15}. What is prob of sequence znz?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*y**2\/4 - 727857*y + 6540442129.\nAnswer: (9*y - 161746)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327077 is divided by 9345.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001327119879 rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 2*x**7\/105 + 4*x**3 + 16*x**2 + 27. Let c(r) be the second derivative of g(r). What is the first derivative of c(s) wrt s?\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*l + 2136 = -2366 + 966 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750443?\nAnswer: 19, 127, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12404, 12405, 12406?\nAnswer: 12407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.1183077 centuries?\nAnswer: 11.83077","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-1 + sqrt(243))*2 + (sqrt(243) + 2 + sqrt(243))**2*-2)*-6.\nAnswer: -23448 - 1512*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.208 + -11.2140997. Round p to four decimal places.\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3039614?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 - (18 + (-28405)\/676))\/((-114)\/(-48)).\nAnswer: 2\/247","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203\/(-58)*6\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = 11*g. Solve g = -c + 1, 3*c = -5*u + 15 + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f**3 + f**3 - 2*f**3)*(-343*f - 236*f + 385*f) as x*f + q*f**4 + r*f**2 + k*f**3 + p and give q.\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.2 - 9.2. What is the closest to -3 in -2\/9, a, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5076737 (base 8) in base 10?\nAnswer: -1342943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.03, -9.4, -2\/15, 1.4, -7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zizii. What is prob of picking 2 i and 1 z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 7 + 12 = -5*c, 0*c - 36*c = 7*s - 257 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8948.\nAnswer: 2, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 3:57 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**4\/12 + 7*w**3\/6 - 5*w**2\/2 + 2*w. Let j be (((-249)\/48 + 5)*12)\/(21\/56). What is u(j)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 11:04 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*w + 145 = 5*w, -3*n - 2*w = -92. Differentiate 2 - 3 - 32*q**2 + n*q - 34*q with respect to q.\nAnswer: -64*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002194922 rounded to 6 decimal places?\nAnswer: 0.002195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - 4)\/((-4)\/28). Suppose -n = -0*t + 3*t + 20, -5*n - 3*t = 76. Let w = g - n. Round w to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 39*h**3 - h**4 + 2*h**4 + 4 - 11 + 4 to y*h + n*h**4 + x + q*h**2 + w*h**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002579436 to 4 dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 + 3*t + 5. Let f(x) = x**2 + x + 2. Let g(b) = -5*f(b) + 2*r(b). What is the second derivative of g(s) wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(102) + sqrt(102) + -6*sqrt(102) + sqrt(102) + sqrt(102))\/sqrt(6) + -2 + 5 + sqrt(153))**2.\nAnswer: 42*sqrt(17) + 842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 828 = 824. Solve -40 = a*m - 38 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 - 24*k**2 - 9*k - 31. Let w be r(11). Let l = -370 - w. Solve l*a - 6 = -0*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (-3)\/(-2) + 2\/4. Is b > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54342627?\nAnswer: 3, 18114209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (196 + 122 + 191)*((1 + 0 + 1)*(1 - 1 + 2*r) + 4*r - 10*r - 8*r).\nAnswer: -5090*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, m: 5, k: 3}. Give prob of sequence km.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x**2 + 3*x - 10. Let z be i(4). Let d = z - 89. Is d a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**8)**(-19)*((q\/(q*q**1\/q)*q)\/q)\/(q*q**(3\/16)*q))**(-22) assuming q is positive.\nAnswer: q**(27137\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y + 14. Calculate t(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 340 and 687780?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/5*15\/165.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 + k + 1. Let b(s) = 6*s**2 - 16*s - 16. Let o(g) = -g**2 + 3*g + 3. Let v(q) = -2*b(q) - 11*o(q). Give a(t) + 3*v(t).\nAnswer: -t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1997 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: Is 4989508 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 477 = -2262. Let x = k - -452. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -833*l**4\/6 + 1292*l**2 + 1031*l. Differentiate c(g) wrt g.\nAnswer: -3332*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2892, -5, -1, 5, 0 in descending order.\nAnswer: 5, 0, -1, -5, -2892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.468 + -185.9\nAnswer: -183.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -3*g - 36, 4*g + 0 = -q + 3. Let f(t) = -11*t - 22. Is f(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 2*l - 5. Let c be w(-4). Suppose 0 = -c*h + 6*h + 9. Is h\/((-1)\/((-31)\/(-3))) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560570852?\nAnswer: 2, 17, 113, 72953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a centimeter in micrometers?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 576212 is divided by 274.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 0*z + 8 - 3\/8*z**4 + 3\/4*z**2 - 3\/20*z**5 + 1\/4*z**3. Factor k(r).\nAnswer: -3*r*(r - 1)*(r + 1)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, m: 4}. What is prob of sequence ii?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j - 22. Let n(g) be the second derivative of -g**3\/6 - 9*g**2\/2 + 12*g. Let h(y) = 5*n(y) - 2*p(y). Give h(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (2 - (-2 + 4 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4815 and 9262776.\nAnswer: 138941640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 29040.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -67 + 103200\/1536 - ((-2)\/(-12) + 7774\/(-96)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 121220200?\nAnswer: -121220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ood when three letters picked without replacement from {d: 5, q: 2, o: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3)*-5 - (-391)\/276. Which is the second smallest value? (a) k (b) -1 (c) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.5 - 5.1. Which is the nearest to 1? (a) 3\/2 (b) l (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 - 8*l - 5. Give c(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 582628, 582637, 582652, 582673, 582700, 582733, 582772?\n\"Answer: 3*g**2 + 582625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 + 46 + 72 - 5?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 652040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 462 - 57*h**2 - 462.\nAnswer: -57*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (77*(-69)\/12144)\/(2\/32)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 1, 0.2, -1\/10, 2 in decreasing order.\nAnswer: 2, 1, 1\/2, 0.2, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000101122221 + -102?\nAnswer: -2000101200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 t when four letters picked without replacement from ptppvvppppvvvptt?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10057.\nAnswer: 89, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -137 - -139. Solve 3*j = -p + 10, -2 = -p - x*j + j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 254 - 60. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 2. Let s be d(5). Let i = 13 - 8. Suppose -3 = -4*u + i. Which is the second smallest value? (a) 1 (b) s (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 1 = -9*y. Sort 3, y, 1.\nAnswer: y, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 - 3 = -25*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 35774634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 52*z**2 - 13*z + 13. Let c(a) = 21*a**2 - 5*a + 5. Let h = -21 + 8. Let i(n) = h*c(n) + 5*s(n). Let t(p) = -p. Calculate i(t(v)).\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -736, 0, -1, 408 in descending order.\nAnswer: 408, 0, -1, -736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**3 + 6*q**2 + 684*q + 5585. Give z(23).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5304713\/5 + 1060943. Determine x so that -56\/5 - 6\/5*x + t*x**2 = 0.\nAnswer: -4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/2*(-4)\/(-6). Let i be 0 - -3 - g - 2. Suppose 6*o - 4*o - 28 = i. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201605 is divided by 9596?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22971 (base 10) to base 5\nAnswer: 1213341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4016 + -4016.3. Which is smaller: 58\/11 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 574 and 28?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210002 - -1212111210?\nAnswer: 1220021212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -5*t, -2*y - 46*y + 95 = -3*t + t - 255 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 1\/39073314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5829782*v**2 - 5829780*v**2 + 3*v - 3*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/1*2*2\/(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 4\/2495?\nAnswer: 4\/2495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -910*a - 10912. What is m(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26061454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 142*n. Let f(q) = 169763*q. What is f(a(d))?\nAnswer: 24106346*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 5*c**2 + c + 4. Let w be a(4). Is (14\/w)\/(-7)*764 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p + 6445 = -3327. Let y = p + -325. What is the highest common divisor of y and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 29670, 29677, 29690, 29709, 29734?\n\"Answer: 3*y**2 - 2*y + 29669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 31, 1\/3, 0.4, -1379?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) + sqrt(21)*1)*4 + sqrt(21) + sqrt(21) + sqrt(1701)*-3 + sqrt(21) + sqrt(21))\/(-5*(sqrt(1008) + sqrt(1008) + sqrt(1008)*2)*2).\nAnswer: sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1556 at least -1556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 75*v**3 + v - 40. Let j(x) = 188*x**3 + 2*x - 100. Let u(k) = -5*j(k) + 12*w(k). Find the second derivative of u(p) wrt p.\nAnswer: -240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-6))\/((76\/8)\/19)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.26888*-3.\nAnswer: -0.80664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmuuumtmvummmcmumum. What is prob of picking 2 u and 1 m?\nAnswer: 50\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1533503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*s*u**5 - 2*s*u**2 + 51245*s*u - 502283*u**2 - 2*u - 1698 wrt u?\nAnswer: -100*s*u**3 - 4*s - 1004566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -113 + 1a0658?\nAnswer: 1a0545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 11*x + 12*x - 5 = 0, 2*x = -a + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5565 is divided by 47?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 35 + 31 + 3*h - 2*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1467800 to the nearest 10000.\nAnswer: -1470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12102 + 11?\nAnswer: -12021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 1\/20 (c) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 4:50 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011415222 rounded to seven decimal places?\nAnswer: 0.0001142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l. Let q(y) = 55*y. Let k(a) = 14*a. Let o(g) = 11*k(g) - 3*q(g). Determine 6*o(d) + 13*t(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 592\/7 - 84. Solve 0*l + 0*l**2 - 2\/7*l**3 + o*l**4 + 0 - 2\/7*l**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 34*p + 13. Let s(x) = 51*x + 19. Let k(h) = -7*d(h) + 5*s(h). Let f(l) = 23*l + 5. Let q(z) = -2*f(z) + 3*k(z). Let u(y) = 9*y**2. Give q(u(g)).\nAnswer: 45*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*p + 3. Let u(a) = a + 0*a - p*a + a**2. Let z(l) = -2*l**2 + 4*l. Suppose 0*i - 2*i - 8 = 0. Give i*u(b) - z(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -61503 + -4327?\nAnswer: -6582a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qaauaqaqraqaaquar. What is prob of sequence arru?\nAnswer: 1\/1785","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0 + (-3 + 1 + 0)*(3 - 4 - 1) + 2 - 3 - 2)*(84*g + 50*g + 178*g) - 3*g + 0*g + g.\nAnswer: -314*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123362 is divided by 949.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (687\/(-387))\/((-14)\/(-21)*5). Let f = r + 3\/10. Which is greater: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 3*u**2 - 2*u - 4. Let p(r) = r**3 - 8*r**2 - 8*r - 5. Let f be p(9). Determine i(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1569519, 6278027, 14125549, 25112091, 39237659?\n\"Answer: s**3 + 1569501*s**2 - 2*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + s + 4. Let g be w(-2). Find the common denominator of -83\/8 and (g\/12)\/((-2)\/(-105)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (sqrt(170) + (sqrt(170) - (sqrt(170)*2*-1 + sqrt(170) - sqrt(170))) + sqrt(170)))\/sqrt(10).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 12 = y. Suppose -3*n = -2*p - 13 + 4, 3*p - 9 = -y*n. Let a = 383 + -377. Calculate the highest common factor of n and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 50, 2.1, 7?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.557? (a) -9 (b) -7 (c) 0 (d) 0.69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/2*(-4)\/7*(1805 - 30981) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6404, 6, 5.\nAnswer: -6404, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*g**2 + 2*g**2 - 3*g**2 + (2*g - 5*g + 4*g)*(0*g - 3*g + 7*g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2825 and 339.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-4))\/((-1)\/2). Let t(m) = m**3 + 1 + 3*m**2 - m**2 + 0*m**3 + 3*m. Let h(v) = 2*v**2 + v**2 + 3 - 2 + v**3 + 4*v. Calculate f*h(y) - 4*t(y).\nAnswer: -y**3 + y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17*-0.22.\nAnswer: -0.0374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-7 - (-16 + 6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4684058 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 838, 6 in decreasing order.\nAnswer: 838, 6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124834804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 21291298 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 709828, 709645, 709462, 709279?\nAnswer: 709096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1038 in -3, -4\/9, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-75)*6\/(-5)*-10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -8709, -0.2 in decreasing order.\nAnswer: -0.2, -0.3, -8709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*u - 8*u - 79 + 79 - 3*u.\nAnswer: -31*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1196\/17, 0, -1, 1, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**5\/60 + a**4\/6 + a**3\/6 + a**2. Suppose -4*h - r = -h + 31, 3*h + 23 = r. Let b(f) = f + 7. Let c be b(h). Determine u(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 9, 24, 47?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (2 + 2)\/2. Let b(q) = q - 1. Let k(j) = -j - 3. Let w(x) = 1. Let o(m) = k(m) + 4*w(m). Let z(a) = -5*b(a) - 4*o(a). Determine z(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 11\/61 (b) 26 (c) 2 (d) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**2*j*j\/j**(-9)*j*j*(j**(-6)\/j)\/(j**1*j) assuming j is positive.\nAnswer: j**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3760143 (base 9) in base 7?\nAnswer: 23254242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 694*b**2 + 600*b**2 + 2*b + 5*b**3 - 2*b**3 - 1088*b**2 in the form w*b**2 + i*b + u + q*b**3 and give w.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 2*i. Let k be t(10). Suppose k = l + 4*l. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**5\/15 + 6*v**2 - 13*v. Let y(t) be the first derivative of n(t). Let w(l) = 2*l. Calculate y(w(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - 113413?\nAnswer: -113355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x = 5*x + 26 - 86 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 690, 707, 734, 771, 818, 875?\nAnswer: 942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0*k - 3*k + 24, 2*d + 4*k = 18. Suppose 2*q - d = q. Let j be ((-87)\/27 + q)*-1. Which is the third biggest value? (a) j (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132479161 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: b\"What is the dth term of -232, -385, -548, -727, -928?\n\"Answer: -d**3 + d**2 - 149*d - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -309610 by 7.\nAnswer: -44230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjrg when four letters picked without replacement from {n: 1, j: 1, r: 3, g: 1, a: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32540721?\nAnswer: 3, 941, 11527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -96*a + 2308. Determine g(24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9107567, 18215147, 27322729, 36430313?\n\"Answer: f**2 + 9107577*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -224*p**4 - 3*p**2 - 16*p - 47353 wrt p?\nAnswer: -896*p**3 - 6*p - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 10*l - 276. What is g(33)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119\/3 + -41. Suppose 0*q - 3*q = 0. Suppose b - 2*b = q. Are b and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 + (-6 + -9 - -35) - (-41 + -2)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*n = n + 66, -2*t - 5*n = -26. Suppose 4*r - 5*o = 425, r - 64 = -4*o + 37. Calculate the lowest common multiple of t and r.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + r = -32, -2*g - 87907*r + 32 = -87912*r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3016 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 - 1\/(1\/44*4). Sort -21, 2, 4, w in descending order.\nAnswer: 4, 2, w, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 0 - 13 - 2*n + n + 3. Let d be b(-10). What is the third derivative of 0*w**2 - w**6 - w**2 + d*w**2 wrt w?\nAnswer: -120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 + 67884*n**3 + 287980896*n**2 - 288048784*n.\nAnswer: 4*n*(n - 1)*(n + 8486)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.4 (b) 77.4 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217743?\nAnswer: 3, 181, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 14*w**2 + 13*w + 2. Let f be g(13). Solve s + f*s = 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2823 is divided by 156.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1137\/93097?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 15*h - 48. Let l be u(8). Solve 0 = -l*k + 75*k + 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 5*j**2 + j + 8. Let q be o(-5). Suppose 3*i = q + 3. Let c be (-6)\/(-4) + 1\/2. Solve i*s - s + 3*h = 11, 11 = -c*s + 5*h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -579.1 times -18?\nAnswer: 10423.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 16*u + 36. Determine q(11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 + n**2 - 10*n + 20. What is w(-6)?\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14941752 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 980 - 560. What is the least common multiple of j and 252?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3914 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 2*l - 126 = 3*r, -78 = -2*r + 2*l. Let q be r\/30 + 6\/(-45). Solve -q - 3 = -u + 5*t, 1 = u - 2*t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-20 + 9) - (-2 + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((s**(-6\/19)*s*s)\/s)*s\/((s**(12\/5)\/s)\/s) assuming s is positive.\nAnswer: s**(87\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 667 and 3973?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s - 2. Let c(d) = -3*d + 1. Let q(o) = 8*c(o) + 5*v(o). Suppose 7*m - 45 = -10. Let u be q(m). Put 2, u, 1 in decreasing order.\nAnswer: u, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15\/4)\/((-1)\/(-20)) - -3. Let l = c + -64. Calculate the remainder when l is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**3 - 25736*r**2 + 411192*r + 925344 = 0?\nAnswer: -2, 18, 12852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9408 divided by 3?\nAnswer: -3136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + 110011011000010?\nAnswer: 110011011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 89, 5\/4 in descending order.\nAnswer: 89, 5\/4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 334*l + 1830. Is t(6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.45 + 11959118.2.\nAnswer: 11959098.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-480))\/(151\/(-1208))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 1325*v - 14952. Determine s(11).\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16561 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2638 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -321, -760, -1377, -2232, -3385, -4896?\nAnswer: -6825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26768161.\nAnswer: 7, 546289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve -551*y + 338 - 9227 = 25824 for y.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 17012523, 17012519, 17012513, 17012505?\n\"Answer: -j**2 - j + 17012525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 738250.\nAnswer: 2, 5, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a**3 + 8*a**2 - 8*a + 10. Let j(v) = -4*v**3 + 5*v**2 - 5*v + 7. Let u = -5519 - -5511. What is u*j(b) + 5*i(b)?\nAnswer: 2*b**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42747*k + 85013*k - 42490*k.\nAnswer: -224*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(432)*-2 - sqrt(432)) + (sqrt(18)\/(-1*sqrt(6)) - sqrt(3) - sqrt(3)) + sqrt(3) + 0 + 3)**2.\nAnswer: -608*sqrt(3) + 4396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/3)\/g)\/g)\/g**(1\/5))**(3\/40) assuming g is positive.\nAnswer: g**(-43\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -9*1\/(-3)*1. Suppose -4*t - 22 = -2*d, -c*d = -d - 5*t - 25. Suppose 2*n = d*u + 144 + 180, -296 = -2*n - 2*u. Is 38 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnww when four letters picked without replacement from {n: 5, w: 7}.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (-20)\/(-12))*-9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*o + 10 = 0. Suppose -8*a + 7*a + 1 = 0. Suppose -d = -a + o. What is the second biggest value in 5, d, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136541047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 8 - 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63789 + 0*i**2 + 191371 - 3*i**2 - 63787 - 63795.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7*c. Let j = 3 - 4. Let d be i(j). Let h = d - -1. What is the greatest common factor of h and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h - 7. Let y be d(4). Let a(g) = 51*g + 3. Let p be a(0). What is the nearest to p in -2, -8, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**5\/7 + 370*n**4 + 65930*n**3\/7 - 10530*n**2 - 137052*n\/7 = 0. Calculate n.\nAnswer: -1269, -27, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1647287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 725428*i - 4352424.\nAnswer: -4*(i - 181351)*(i - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 5:09 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 + 0.3. Let g be (-2)\/(-6) - (-29)\/87. Which is the smallest value? (a) g (b) -4 (c) 3\/2 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -57.3, -3\/10, -4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 147\/(-7)*(-60 - (4 - 0\/3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(44)\/sqrt(4) + sqrt(11) + 4 + 2)**2.\nAnswer: 24*sqrt(11) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50355751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19309*h**2*i - 193*h**2 + 3*h - 2 wrt i.\nAnswer: -19309*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 3*g - 253 + 247 = 0, 0 = -2*y - 3*g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 154581, 154590, 154605, 154626, 154653?\n\"Answer: 3*d**2 + 154578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 677995531 divided by -42703?\nAnswer: -15877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.3 (b) -2\/3 (c) 0.78 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -1 + 0*x**2 - 1\/12*x**4 + x + 2\/3*x**3. Let w(c) be the first derivative of t(c). Determine w(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**2\/2 - h - 7. What is f(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 12:04 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 2 - 34*a - 67*a + 215*a to the form x + s*a and give s.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 o when three letters picked without replacement from pooooooooooo?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -9*v**3 - 4*v**2 + 13*v + 5. Suppose 2 + 6 = -2*p. Let j(k) = 5*k**3 + 2*k**2 - 7*k - 3. Let w(d) = p*g(d) - 7*j(d). Give w(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*w + 40*w + 96 = 17*d, -5*w + 3*d = 28 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 - 84*m - 11 + 2*m**2 + 84*m to the form u*m**2 + a + f*m and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*m - 3*s, -87*m + 90*m - s - 9 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2199845.\nAnswer: 5, 439969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -71, -3\/2, 321, -2\/3, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 190 - 186. Let w = 1 - x. Sort 1\/68, w, -0.4.\nAnswer: w, -0.4, 1\/68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - 108. Let i(r) = -13*r**2 - r + 4. Let p be i(4). Let d = g - p. Calculate the remainder when d is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (797*t - 341*t + 479*t)*(-t**3 + t**3 - 2*t**3) to h*t + j*t**3 + p*t**2 + q + w*t**4 and give w.\nAnswer: -1870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 26*g**2 + 8*g + 3. Let n be p(26). Let u = 442 - n. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/3 in 18.5, -15, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -5. Suppose -x + p - 1 = 0. Solve x*s - 6*s - 4 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*a**2 + 7*a**2 - 27*a**2)*(1536*a - 46 + 37 + 9) to n*a + x + k*a**3 + v*a**2 and give k.\nAnswer: -10752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/2*-13*(261708\/(-6755))\/(-339)?\nAnswer: 78\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 44*q - 99. Let o be i(-39). Suppose -99*n + 3 = -o*n. Let w be (0 - 0)\/((-1)\/(-1)). Solve -m + k + n + 3 = w, 2*k = -2*m - 12 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/(-3)*90\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 403, 402, 401, 400?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2 + sqrt(396) + (-1 + sqrt(396) - sqrt(396)) + sqrt(396)))**2 + (((sqrt(891) - 2*sqrt(891))*-6)**2 - (5 + sqrt(891) + -1)).\nAnswer: -2601*sqrt(11) + 89420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 366362061 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/42*(169\/26 - 8). Suppose -3 = 3*p, -2*c = -c - 3*p - 3. Is c > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13560419 is divided by 81200?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -318*v - 253. Is l(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14668535409 - 0.127.\nAnswer: 0.01968535409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (225\/6*8\/(-24))\/((-3)\/(-12))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-9))\/((-9362)\/(-112344))\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1775272 is divided by 197250?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/33 and ((-8)\/10)\/(168\/4100*5)?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001302200 (base 4) to base 5\nAnswer: -32110342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*d = -26*d + 75*d + 510 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1110001010100111010110 (base 2) to base 7\nAnswer: 43364341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + 13. Let w be 1*(52\/14 - (-18)\/63). Suppose -3*o - 8*n = -4*n - w, 2*n - 14 = -3*o. Calculate the remainder when p is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)*-3)**2 + (sqrt(11) - (-1 + sqrt(1331))))*5.\nAnswer: -50*sqrt(11) + 4460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*k - 199*k + 6 = 0. Let y(x) = -x + 16 - 3*x**2 - 9*x - 15 - 3*x**3 + x**3 + 9*x. Calculate y(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -841377\/4 or -210344?\nAnswer: -210344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 3*f + 47. Calculate t(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 3*n**2 - 3*n - 1. Let u be r(-1). Solve -3*t - 2*t = w - 17, 5*t + 2*w - 19 = u for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/(-3) + 198\/(-18))*14.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 5. Let q be n(-5). Let y be (q\/(-1))\/(5\/5). Suppose -2*k = -8 - y. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 14*x. Let h(d) = -5*d. Let r be (-6)\/(-10) + (-60)\/(-25). Let s(l) = r*q(l) + 8*h(l). Let u(o) = 2*o**2. Determine u(s(n)).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3*(4\/(-3) + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118927?\nAnswer: 118927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 22 + 16 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-42)*(-21)\/60*-4.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -56574395849 + 5757\nAnswer: -56574390092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 1136*f - 785. What is the thousands digit of p(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*d, 3 = -3*w + 2*d + 10. Suppose w*o = o + 48. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*p**4*u + 639683*p**3*u - 5822*p**2*u + 2*p*u - 12*u - 103 wrt p.\nAnswer: -168*p*u + 3838098*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -247*j - 591*j - 724*j + 369*j to v*j + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -7*y**6\/30 + y**4\/12 + 8*y. What is the third derivative of m(c) wrt c?\nAnswer: -168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 - 814 = -4*n. Differentiate 8*d**2 - 3*d**2 + 221 - n with respect to d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.28 in -5, 0.2, -5\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 79*d**2 - 2*d + 22. Let o(g) = -2. Let w be 3 + -3 + 10 + 12. Let h(i) = w*o(i) + 2*v(i). Factor h(x).\nAnswer: 2*x*(79*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 + -12. Let w = h - 24.89. Let a = -0.109965 + w. What is a rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*g**3 - 3*g**2 + 3*g**2.\nAnswer: 44*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71420 by 14284.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 87991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 = 0, 5*m - 5*h = 136 - 41. Suppose -4*t = 3*i - 92, -3*t + i + m + 51 = 0. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*t + 20 = 0, 0 = u - 0*u - 5*t - 30. Suppose 8*j + u = 7*j. Let f be 2\/5*(-5)\/(-3). Which is the nearest to -1\/4? (a) f (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -36 + (-36 - -32)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*v - 2 = 4*p, -5*v + 15 = 0. Let f be 3\/p*(-12)\/(-6) - 0. What is the smallest value in 0.4, f, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + ((-40)\/108)\/(-2 + (-177)\/(-90)).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -n**2 + 1404*n + 6296 wrt n?\nAnswer: -2*n + 1404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1250 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34676250 divided by 6935250?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 357183.6237 to the nearest 1000.\nAnswer: 357000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4335, 8751, 13241, 17805, 22443, 27155?\n\"Answer: 37*x**2 + 4305*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 4532*f + 4534*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-1)*(-27)\/27.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h**5 + 7*h**4 - 344*h**3 + 1488*h**2 - 1152*h = 0. What is h?\nAnswer: -24, 0, 1, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**3 + 7484*z**2 - 1851426*z + 3672900 = 0.\nAnswer: -3975, 2, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**3 + 2*k. Let i be d(2). Suppose -2*l + i = -l. Suppose -h - 74 = -6*h - 2*f, 4*h - f - 67 = 0. Calculate the least common multiple of l and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1387746765?\nAnswer: 3, 5, 457, 67481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8765343?\nAnswer: 3, 31, 89, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.4 + -0.4. Let x be ((-20)\/4 - -3) + 2. Suppose -j = -3*p + 2*p, -3*p + 4*j - 5 = x. Which is the nearest to -2\/7? (a) o (b) p (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33\/25 or 1?\nAnswer: 33\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 177\/59*19\/57\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1828 = j - 2*r, -3*r = -2*j - 0*r - 3661. Let i = j - -10901\/6. Find the common denominator of i and 22\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-32)*w*w*w**2 assuming w is positive.\nAnswer: w**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.6124 - 9.63. Round a to 2 dps.\nAnswer: 1.98","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262619633 to the power of 1\/3, to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 337 + -344. Suppose 3*x - 21 = -4*d, 0*d = -x + d. Let z(g) = 7 - 10*g - 2*g + 3*g. Let u(v) = -4*v + 3. What is n*u(y) + x*z(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10324?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75\/371 + 36177\/19292. Calculate the common denominator of -13\/4 and s.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 9 (c) 22 (d) 0.59 (e) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 38066?\nAnswer: 38066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33.8 + 33.7997776. Round x to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 67212.639 milliseconds?\nAnswer: 0.0007779240625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-25)\/35 - 206\/(-308). Which is the nearest to 0? (a) j (b) -0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i*i**(2\/9)))\/i)\/i)\/(i\/(i**(-30\/13)\/i)*i*i*i))**(1\/25) assuming i is positive.\nAnswer: i**(-223\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*p + 15457 = 166*p - 598*p for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -5 in descending order.\nAnswer: -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 9:31 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 4) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**3\/6 + 63*m**2\/2 + 4*m. Let b be l(0). Suppose -3*f - 3*g + 61 = 7, 5*f - b = 4*g. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.5 and -119.18699.\nAnswer: -178.780485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.09999728 + -5.1. Round r to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s - 6 - 3*s + 2*s + 2*s. What are the prime factors of l(7)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: e95fb (base 16) to base 3\nAnswer: 1210120020200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 928136974 at most 928136975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyyyjyj. Give prob of sequence jjy.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24751 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 8*r + 1459 = 5*x, 3*r + 1171 = 4*x. What is the first derivative of -4*a**3 + 376 + 7*a**4 - x + 4*a**3 - a**3 wrt a?\nAnswer: 28*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96501*x + 96512*x + 22*x**2 - 193015*x.\nAnswer: 22*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*u = -115*u - 262295. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*i + 4, 2*p - 2*i - 1 = 3*i. Suppose 3*f = 4*n - 72, -p*n - 4 + 52 = -2*f. Is f\/96 - 3338\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 56*w**3*z**3 - 381*w**3 + z**4 wrt z?\nAnswer: 168*w**3*z**2 + 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22334 - 22294. Let i(p) = p**2 - 3*p + 2. Let a be i(-3). Calculate the highest common factor of a and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 51147 in -2\/5, 0.3, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 88*o**2 - 704*o + 1408. Let z(v) = v**2 + 4*v - 8. Let j(r) = i(r) + 176*z(r). Let m(p) = -6*p**2. Calculate j(m(f)).\nAnswer: 9504*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**2\/7 - 64*a\/7 - 62\/7 = 0. Calculate a.\nAnswer: -31, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 319*a - 11504. Let h be i(-42). Is -24903 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15842 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/49 and 4\/35?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*l = 20. Suppose 40 = 2*n + 18. Suppose -2*z = -z - n. Solve 0 = -l*r - h - z, 4*r - 14 = 2*r - 5*h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1139133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -45 + -2?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.3 to zero dps.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/(-15) - 2\/(-6). Suppose -3*a + y*s - 4*s + 4 = 0, 5*s - 8 = -3*a. Let r(l) = -3*l - 2 + a + l. What is r(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -1069 - 170. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18397, -73833, -166255, -295687, -462153, -665677?\n\"Answer: -4*w**3 - 18469*w**2 - w + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 + 7*u**3 + 1.\nAnswer: 7*u**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-1*(-16)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.495 to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 12, 3, 5, 1444.\nAnswer: -5, 0, 3, 5, 12, 1444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 + -43. Let u be 533\/9 + 22\/w. Let f = u - 0. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000968 to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -0.1, 2\/3, 0, 0.2, 66\/2405 in ascending order.\nAnswer: -0.1, 0, 66\/2405, 0.2, 2\/3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 9457770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18424)\/(-10528))\/(35\/(-480))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 79*d**6\/15 - 188*d**2 - 29*d - 4. Differentiate r(t) with respect to t.\nAnswer: 632*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 76, 1157, 4304, 10549, 20924?\n\"Answer: 172*x**3 + x**2 - 126*x + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277*j - 351 = 268*j. What is the remainder when 387 is divided by j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 3, t: 12}. Give prob of picking 2 y.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -5.9. Let f = n + -2. Let u = -58 - -58.9. Which is bigger: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 - 65. Find the third derivative of -2*q + 43*q**3 - 103*q**3 + 7*q**2 - 27*q**h wrt q.\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 37c?\nAnswer: -382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -179, -299, -507, -809, -1211, -1719, -2339, -3077?\nAnswer: -3939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21955 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*k + 23, 2*y = 7*y - 2*k - 16. Suppose 7 = 3*c - y. Let d = -25 + 47. Solve -d = c*x - 3*u + 2, 4*x - u + 17 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q - 4*f = 10, 2*f = 5*q - 20. Suppose 2*t = 5*t - q. Let p(o) = -5*o**2 + 0*o**2 + 7*o**t. Let l(u) = -6*u**2. Give l(p(c)).\nAnswer: -24*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**4 + 3*g**4 + 3*g**4 + (2 + 2 - 3)*(g**4 - 3*g**4 + 0*g**4).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/((1155\/(-22))\/21).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -392, -2416, -7428, -16778, -31816, -53892, -84356?\nAnswer: -124558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -164639, -329286, -493935, -658586?\n\"Answer: -j**2 - 164644*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**7\/21 + 5*j**4\/24 + 2*j**2. What is the second derivative of g(w) wrt w?\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -37) + -11 - (-13 - -27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3538693178?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 319898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 12:15 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 7*t**2 - 7*t. Let h be 2\/(-6)*105\/(-7). Let g be n(h). Solve -6*z = -z - g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 6179200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 675 - 111*t**2 - 106*t**2 - 183 + 214*t**2 to p*t + a*t**2 + j and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 3871 + -3 + -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 14 = 3*b, 0 = 3*z + 5*b + 24 - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 593208 and 296604?\nAnswer: 593208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 9435*f**2 - 475*f - 475. List the prime factors of v(-1).\nAnswer: 3, 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 83 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1724, -2241, -8846, -18091, -29976, -44501?\n\"Answer: -1320*u**2 - 5*u + 3049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -1 - (-89 + (30 - -67))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2101144 (base 5) to base 8\nAnswer: 103365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w + 1 - 627*w**3 - 227*w**3 - 12.\nAnswer: -854*w**3 - 8*w - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**2 + 18*c - 6. Let k be s(-5). Suppose 0 = -k*o + 100 - 88. What is the least common multiple of 24 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1050 and 595275?\nAnswer: 8333850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, -0.3, 0.24, 430, 249, 1?\nAnswer: 249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53114?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -10*z + 37. Let r = 23735 - 16134. Suppose 18*x = z*x + r. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 246 - 117. Let l = 223 - q. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/9)\/(y**(-1)*y))\/(y\/y**(-13\/3)*y*y*y**7) assuming y is positive.\nAnswer: y**(-131\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 + -8 - (-6 + 18)) + -1 + 8?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 4*f - 5. Let q(k) = 6*k**2 + 5*k - 39. Let o be q(-3). What is h(o)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 - 151 - 20720*x + 20722*x.\nAnswer: 2*x - 108","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 262649073 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 14177250.1 to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 9203557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -17, 20, -4\/9, 3 in ascending order.\nAnswer: -17, -4\/9, -0.4, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -71 - 66 + 143 - u + (1 + 0 + 0)*(8 - 16*u - 12*u + 31*u) in the form y + h*u and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -538*d**2 - 550*d**2 - 535*d**2 + 1620*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 6*d - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 3*h - 3*h)*(-5 + 2 + 1)*(5 + 7 - 7).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3430967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4640043 (base 7) to base 5\nAnswer: 122043243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593723679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 60085814818853 + 0.12\nAnswer: 60085814818853.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/2 - 769*l**2 + 1541*l\/2 + 1539.\nAnswer: -(l - 2)*(l + 1)*(l + 1539)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 + 1203*l - 9501. Calculate z(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*d + 102 + 30 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**5\/60 + 7*r**4\/24 - 2*r**3\/3 - r**2. Suppose -d + 3*n + 28 = -5*d, 4*n = -2*d - 4. Is 16 a factor of k(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/390 and (-109)\/14*266\/(-2280).\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 2*s**7\/105 + s**6\/30 - s**5\/15 - s**4\/6 + 60*s**2. What is f in h(f) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 3. Let w = 9 - k. Which is the smallest value? (a) -3\/8 (b) 6 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6942640?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.02240496*-0.058\nAnswer: 0.00129948768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -492519, -985040, -1477561, -1970082, -2462603, -2955124?\nAnswer: -3447645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u = -21 - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22550 + -113403\/5. Let z = 131 + o. Factor 0*l + z*l**2 - 2\/5.\nAnswer: 2*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001 (base 3) to base 6.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -13*d + 22 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -689.3971521?\nAnswer: 684.3971521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36746?\nAnswer: 2, 19, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 22*k + 184. Let g be o(-10). Suppose 11*w + 5*w = g. What is the greatest common factor of 36 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4a - -271c4c?\nAnswer: 271c02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -5*j**3 - 4*j**2 + 9*j + 24. Let d(i) = 2*i**3 + 2*i**2 - 4*i - 12. Calculate 4*b(a) + 9*d(a).\nAnswer: -2*a**3 + 2*a**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 952921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15877 is divided by 1582?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**3\/2 - 23*a**2\/4 + 5*a + 1 = 0.\nAnswer: -1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 6:06 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3*w + 819 - 807 = 0, 0 = 2*i + 4*w - 20 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a = 12*a + 28. Differentiate -75*g**3 + 50*g**4 + 43*g**4 + a + 19 + 76*g**3 with respect to g.\nAnswer: 372*g**3 + 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/4)*d)\/d)**(-2\/155)\/(d*d*d\/(d\/(d\/(d*d**1*d))))**(2\/19) assuming d is positive.\nAnswer: d**(-1\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/4 - (3 + 6584\/(-32)). Let c = 236 - w. Calculate the greatest common divisor of c and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by 10406214?\nAnswer: 8\/5203107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*n + 81*n = 2464. Find the common denominator of -155\/132 and -1 + 3 + 3454\/n.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80237.77 + -80712. What is k rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**4\/4 + f**3\/6 + f. Let q(b) be the first derivative of -7*b**3\/3 - b**2 + 205. Let u(r) = -5*i(r) - 2*q(r). Factor u(a).\nAnswer: -a*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131853937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 8, 7 in increasing order.\nAnswer: 3, 5, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12226705 or -12226699?\nAnswer: -12226699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4490.65 millilitres in litres?\nAnswer: 4.49065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 11:32 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/11 + 22\/121. Let c(f) = f**2 - 3*f + 3. Give c(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -397 - -403. Suppose -4*i = -3*g - 30908, -y*i + 4*g + 23181 = -3*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0771 minus 17.9?\nAnswer: -17.9771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 4*p**2 - 2*p - 6. Let w be t(-4). Suppose 412 = 3*g + w*o - 33, -3*o - 710 = -5*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 3. Let f(m) = m - 4. Let l(s) = -3*f(s) - 4*y(s). Let u(x) = 1 + 3*x**2 - 4 + 3. Give u(l(z)).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -326.\nAnswer: -5\/326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 6:27 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/3 - (-3)\/(-9)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723 is divided by 54?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 1928a3?\nAnswer: 1928a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1938072008 to the power of 1\/2, to the nearest integer?\nAnswer: 44024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x - 7*x - 2*x)*(3*x - 2*x + x) + (-3 + 3 + x)*(2*x + 3*x - x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7*k - 25 = 0. Suppose -3*j + 24 = 2*j + h, -15 = -2*j + k*h. Suppose 3*g - 4 = x - 2*x, -5*g + x = 4. Solve g*o - j*o = -20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 2*j + 26 - 7 - 4*j**4 - 5*j**3 - 7 to y*j**4 + i*j + r*j**2 + k + z*j**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 + 30*l - 131. What is the remainder when x(5) is divided by 56?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qm when two letters picked without replacement from {q: 7, c: 4, m: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -27 - 22 - w + 48. Let j(q) be the third derivative of q**3\/2 + 2*q**2. Calculate 2*a(y) + j(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2405 and 1240240?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-4) - 108\/52 and 7\/4*162\/56?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 47, 0.3, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 119 + 0.28?\nAnswer: 119.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 + 2 + (3 + 1 - 2)*(2 - 2 + 2))*(0*m**2 + 2*m**2 - 3*m**2) to the form a*m + r*m**2 + b and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17568 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: Solve 28 = -177*h + 184*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345474789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2098224 and 518080?\nAnswer: 41964480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 7 + 9*m**3 + 2 + 0 + 0 - m**2 - 3*m**4 to v*m**3 + u*m + a*m**4 + j*m**2 + w and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 6:43 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.066 and -10020?\nAnswer: 10019.934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -g + 129, 0 = -g + 4*g + 3*h - 417. What are the prime factors of g?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 - 36*h**2 - 56*h + 96.\nAnswer: -4*(h - 1)*(h + 4)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16\/629973 or -0.6?\nAnswer: -16\/629973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*p + 6 = 0. Suppose 3*f = p*f - 3. Put f, 3, -2 in increasing order.\nAnswer: -2, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56*24\/48)\/(20\/(-15))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -r - 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1f (base 16) to base 11.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -220, -486, -866, -1366, -1992?\nAnswer: -2750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, 2, -0.35983.\nAnswer: -5\/3, -0.35983, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (1 + 4 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4070*u + 444. Let a(x) = -74*x - 8. Let n(y) = 222*a(y) + 4*z(y). Let g(h) = -h. What is n(g(d))?\nAnswer: 148*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35160 + -35157.61. What is the fourth biggest value in 2, b, 2\/15, 2\/11?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/1 + 3 + 2 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 69214530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 2, s: 7, z: 1}. What is prob of picking 2 l?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 23*i**2 - 24*i - 48. What is t(-22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 1040?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1647862 and 1308.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67049373 to the nearest integer?\nAnswer: 8188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 70956.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3923, 3, -1\/6 in decreasing order.\nAnswer: 3, 1\/3923, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -c + 2. Let d be 18 + 1\/(c - -3). Suppose -4*w + 8 = 4*y - 3*w, -3*y - 4*w = -d. Calculate the remainder when 1 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 1\/8*t**4 + 1\/40*t**5 + 0*t**3 - t**2 - 1\/80*t**6 + 3*t + 0. Factor b(y).\nAnswer: -3*y*(y - 2)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 9:45 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435 - 575 = 5*o - 2*l, -3*l = -4*o - 815. Let b = 359 + o. List the prime factors of b.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 10:31 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 526373117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2121 - -4602. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586022807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-710)\/34 - 221\/(514709\/274).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -13*k**2 + 33*k + 14. Calculate h(7).\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/4 + 53\/32. What is the common denominator of (2\/160)\/(2\/196) and l?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202 + 110110?\nAnswer: 101201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -14 in decreasing order.\nAnswer: -2, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 6:36 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 83123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -5*s**3 + s**2. Let g be n(-1). Suppose g = -0*c + 3*c. Suppose -c*t = 4*u - 38, 5*u - 96 + 26 = 2*t. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 41 - 50 = 2*t, 5*y = -2*t + 99. Let w = -13 + y. What is the remainder when 142\/8 + 12\/(-16) is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 6*w**2 - 3*w - 9. What is s(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**3*p**3 + 21*b**3*p**2 - 4*b**2*p + 7666*b*p**4 + 8*b*p**2 + p**2 wrt p.\nAnswer: 12*b**3 + 183984*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, z: 7, l: 6}. What is prob of sequence ol?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k + 6. Let f be j(-15). Suppose 2*q + 3*c - 103 = 0, -3*q = -2*c - 0*c - 122. Let h = f + q. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -1061?\nAnswer: -1065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 0, 4*r + 9 = r + 3*s for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.73 - 0.93. Let s = 0.02 - 2.02. Which is the nearest to s? (a) t (b) 0.5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 minus 11460.794?\nAnswer: -11460.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3*(-3*(-4 + (sqrt(288) - (sqrt(288) - (1 + sqrt(288))))) + 5*1*sqrt(288) + 3*sqrt(288)*-1))**2)*4.\nAnswer: -7776*sqrt(2) + 13288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 21 = -5*k. Let m = -4 + k. Let i be (3\/(-4))\/((-3)\/12). Solve 2*f - m*j + 13 = 3, -i*f + 3*j - 9 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/15*-6)\/(11\/55).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - 32 = 3*t, 3*k - t + 243 = 243 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1006622?\nAnswer: 2, 37, 61, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + (-13)\/5)\/((-36)\/(-180)). What is the third smallest value in 0.1, 1\/7, i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 + 152*l - 836. Let n be s(6). Find x, given that 1\/3 + 22*x**2 + 9\/2*x + 263\/6*x**3 + 20*x**n - 24*x**5 = 0.\nAnswer: -1\/3, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t + 2*t - 17 + 15.\nAnswer: 14*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-1 - 2) - (13 - 15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*c - 9*c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-61938)\/(-296))\/(-93)*8.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) 39119 (b) 4\/9 (c) 4\/5 (d) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -820366.194+0.4\nAnswer: -820365.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23168*q + 23156*q + 5 - 46335*q.\nAnswer: -11*q + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25497 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -62120000 rounded to the nearest 1000000?\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33281?\nAnswer: 23, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/17198182 and 79\/3244940.\nAnswer: 171981820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19893 and 7?\nAnswer: 139251","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.36 + -0.26. Let v = n - 1.3. Let y = 234 - 238. Which is the second smallest value? (a) y (b) v (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 689940 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-16)*((-160)\/6885)\/((-388)\/1746).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and -23411.\nAnswer: 1638.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 8) in base 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 259*l - 3348. What is the least common multiple of 1365 and h(13)?\nAnswer: 25935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 717, 0.3, -0.5, -15, 5, 1 in increasing order.\nAnswer: -15, -0.5, 0.3, 1, 5, 717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, s: 3}. Give prob of sequence ssi.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123406*d - 61703*d - 61708*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 2*v**2 - 2. Let k be (16\/(-20))\/(2\/5). Let r be f(k). Which is the closest to -1\/4? (a) 3 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5621.869 micrograms in nanograms?\nAnswer: 5621869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 27 = 64. Solve c = 2*k + 1 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/4))**(2\/49)*((n**3\/n)\/n)\/n**(2\/7) assuming n is positive.\nAnswer: n**(67\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 q when four letters picked without replacement from {q: 1, k: 2, p: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g = -8 + 86 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 7. Let y(b) = b**3 - 4*b**2 + 3*b - 4. Let c(s) = -s. Let q be c(-4). Let l be y(q). Let x be f(l). Which is bigger: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = 8*h - 4350. Let o = h - -1603. Suppose 2*q - 956 = o. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1945.\nAnswer: 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 3*d = 3*t + 4, 5*d + 10 = -5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (-11)\/(77\/(-2268)) + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11062794 to the nearest integer?\nAnswer: 3326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 162 - 162.616. Let b = j - -0.096. Let w = 1.72 + b. Round w to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4332146, -4332159, -4332162, -4332149, -4332114, -4332051, -4331954?\nAnswer: -4331817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5142, 4, -1\/5, 6, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + 0. Let r = w + -0.3. Let h(m) = -4*m - 27. Let v be h(-7). Which is the biggest value? (a) v (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 938\/1005 + (-4)\/5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15 (b) 2\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 3b4346?\nAnswer: 3b4341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 10:19 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-130.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207617 is divided by 8846.\nAnswer: 4159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((174\/435)\/((-4)\/135))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13017, 15544, 18071?\nAnswer: 20598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120064.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5.192575 micrograms?\nAnswer: 0.005192575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 9*b**2 - 8*b + 4. Suppose -4*x + 52 = 20. Let h be i(x). Solve 6*f - f - p - 28 = 0, -2*p = h*f - 14 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14316 is divided by 1427.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*s = 39*s - 41*s + 256. Calculate the smallest common multiple of s and 2106.\nAnswer: 8424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/18*-3*1. Is -2 - 5*(-2 - y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.4 - -0.3.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -435672, 4, -4 in ascending order.\nAnswer: -435672, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -88\/179, 5, 0, -2175?\nAnswer: -2175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h + 2*a - 12 = 0, a = 4*h - 34. Suppose -2*v + 22 - h = 0. Let x = -111 - -174. Calculate the highest common factor of v and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**2 - 4*k**2 + 9*k**2. Let s(y) = 3*y. What is s(t(d))?\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.045 times -3?\nAnswer: 0.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*u, 0 = 2*y - 4*u - 2 - 0. Let l be (2 + 1*y)\/1. Let i = 137191 + -137187. Which is the nearest to l? (a) -3\/4 (b) -1\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -144 + 131 + 2*m**3 - m**3 + (3*m - 3*m - m)*(m**2 + 5*m**2 - m**2) + 3*m**3 + 0*m**3 - m**3 to the form j*m**2 + v + p*m + x*m**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -1. Let b(q) = q**2 - 1. Let h be b(p). Let k(v) = v - 1. Let g be k(4). Are h and g equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = z - 4*z. Let c = -7 - z. Let f(j) = j**2 + j + 106. Is f(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y. Let x be q(-3). Find the second derivative of 7*n**5 - 4*n**5 - n**5 + x*n + 0*n**5 wrt n.\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/3)\/(29\/12731) + -3 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71.42 + 72. Let j = l + -0.57999832. Round j to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30200, -30204, -30208, -30212, -30216, -30220?\nAnswer: -30224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 - 4*u**2 + 768*u + 6336.\nAnswer: -2*(u - 22)*(u + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -80*a - 2568. What is q(-32)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -1 + (-27 - (7 - (-14 + 5)))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.8 - 10.85. Let v = b + 0.05000121. Round v to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 354 = -2*f, 0 = 2*f + 2*a - 151 - 205. What is the greatest common divisor of 20 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/5)*o**0\/o*(o**(-2\/17)\/o)\/(o*(((o*o*o**2*o)\/o)\/o)\/o) assuming o is positive.\nAnswer: o**(-401\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 6?\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.388592 nanometers?\nAnswer: 0.000000000388592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*d - 77 = 175 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-5) - 6\/(-10). Suppose 5*p + 5*z - 10 = 0, x = p + 4*z - z + 2. Solve -1 = -p*o + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 10 = -9*t. Suppose -2*h + 0*f + 4*f = -12, -t*h + 15 = -f. Suppose 0 = w - h - 15. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-5)*14\/(-84)*135\/15.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -685 - -703. Solve 7*y - z = 17 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/1*(-2)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b. Let v = 4 - -12. Let f be 16\/6*24\/v. Let i(g) = -2*g + f*g - g - 2*g. Give i(x(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + 5*y**2 - 3*y**2)*(-3*y - y + 2*y)*(2*y + y - 4*y)*(-1 - 1 + 4).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**2\/2 - 2*u - 405. Let j(n) = n**2 - n - 1. Let r be j(0). Let s be o(r). Which is smaller: s or -1\/23?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 5:16 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-184)\/(-120))\/((-482)\/1205)?\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*-38001.\nAnswer: -570015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 368 - 368. Let x(q) be the first derivative of -5\/2*q**2 + 2 + t*q. Let o(j) = j**2. Determine x(o(f)).\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/30726335?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35384 = 2*o - 4*m - 13014, 5*m = 4*o - 96808. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3708 - 0.0708. Let d = -2\/27 - 73\/108. Let z = 5\/4 + d. What is the second biggest value in -2\/9, z, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 199190156?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 7*j - 3*j + 34, -2*j - 3*p - 18 = 0. Let v = 10 + j. Suppose 7*x = 8*x + 23*x + 72. Put v, x, 5 in increasing order.\nAnswer: x, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -12*l**3 + 2*l**2 + 7*l + 5. Let r be u(-1). Solve 80 = -8*i - r*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99.72 + 2.48. Let b = u + -13.2. Let w = 89.0037 - b. Round w to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 84 - 8 + 68*x - 34.\nAnswer: 68*x - 104","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1477 + -233875?\nAnswer: -235463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 4) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/268032 and 29\/6912.\nAnswer: 2412288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5004 + -5055. Sort -2, 2, -8, n, -4 in increasing order.\nAnswer: n, -8, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/32*-6)\/2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 2*t + 61. Let v(o) = o**2 - o - 41. Let i(a) = 5*k(a) + 8*v(a). Is i(-7) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 287 divide 375730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1172 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 91800 divided by 200\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3780005?\nAnswer: 5, 29, 131, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/28)\/(15\/(-15) - 0). What is the closest to -1\/6 in 0.07, -1\/6, z, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-6)\/(-60)*0\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 12:43 AM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1325818 is divided by 66287.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.21 - 1.21. Sort i, -0.5, -4.\nAnswer: -4, i, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 4*g - 9. Let i be f(-2). Solve 0 = 5*z + i + 7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 2) + (4 - 4). Suppose a = -5*o - 5 + 20. Solve 0*v = o*v - 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43a8 (base 12) to base 3\nAnswer: 101020202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -4. Let r be (3 - h) + -9 - -1. Find the common denominator of (-2 - 1) + (-21)\/r and -61\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -720\nAnswer: 7\/720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4 - 55*z**3 - 15*z**2 + 155*z + 110.\nAnswer: 5*(z - 11)*(z - 2)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 1 - 3)*(9 + 7*j - 9) - 5*j + 0*j + 4*j + 1 + (0 + 0 - 1)*(-j + j + 2*j) to t*j + i and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 5460*i - 270500. Determine r(50).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 464648342 to the power of 1\/3, to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 750?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbrxxxkbbbdxkbxbbb. What is prob of picking 1 d and 2 x?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 12*j + 20. Let v be s(10). Calculate the greatest common factor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11645\/6 - 1926. Let f be (9\/56)\/(5\/(-516)). Let n = -121\/7 - f. What is the common denominator of w and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75201 - 47680. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16684825841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 115*f**2 - 28*f**2 + 195*f**2 + 1)*(7*f - 2*f + 3 - 4).\nAnswer: 260*f**3 - 37*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2465 - -2465. What is the closest to d in 43, 1\/2, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -500?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 268, 555, 842, 1129?\nAnswer: 1416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 1. Let l(c) = 2*c + 1. Let q(t) = -l(t) + y(t). Let z(x) = -x - 4 + 4. Determine q(z(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12*(15\/(825\/(-22)))\/(16\/10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8722.3 - -998.3. Let x = -7691.19 - h. Round x to the nearest integer.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000087222 rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**3 + 9*x**2 + 6*x + 1. Let g be w(0). Let l = -6 - -6.3. Sort l, 2, g in ascending order.\nAnswer: l, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*r + 845 = -1907 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 320542207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 2)*(-6 - (3 + -6))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -16*w**3 + 27*w**2 - 4*w - 4. Let f(q) = -2*q**2 - q - 1. Let p(m) = -4*f(m) + h(m). What is the third derivative of p(k) wrt k?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, 90, 3, -293 in decreasing order.\nAnswer: 90, 3, -55, -293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 704 divide 109759326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2795*c + 131362. Determine h(-47).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 107*(-48)\/(-15) + (-18)\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17552 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*z + 8889 + 2859, -4*z = -o + 2949. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60159704509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 165 divided by -2773929\nAnswer: -55\/924643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-216)\/126)\/((6\/(-9))\/(2\/6)). Factor -60\/7*v - t*v**2 + 0.\nAnswer: -6*v*(v + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -4 (b) -2\/5 (c) -2\/71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*s + 109 = -0*s, 0 = 5*r - 4*s - 264. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 111?\nAnswer: -1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -552*k**3 + 8*k**2 + 34*k + 26. Let o be f(-1). Calculate the highest common divisor of o and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 7*f**5\/60 + f**3\/6 + 10*f. Let y(r) be the second derivative of p(r). List the prime factors of y(1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.47 times -58\nAnswer: 781.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6254308 to the power of 1\/3, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/461 and 8\/426915.\nAnswer: 196807815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, x: 11}. Give prob of picking 2 x.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(520) - (sqrt(520) - (sqrt(520) + sqrt(520) + sqrt(520)*1)*5))\/sqrt(10).\nAnswer: 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -1 - (-29 + 5 - -14) - 38.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15.173 - 15.223. Which is the second biggest value? (a) 38 (b) -0.7 (c) -2\/15 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 2*w**2 - 4*w. Let k = 97 + -91. Suppose -k*g + 64 = 4. Let n be g\/4*(-30)\/50*-2. What is r(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3*i**2 + 2*i. Let x(z) = -7*z**2 + 5*z. Let c(k) = -5*j(k) + 2*x(k). Let n(v) = -46*v. Determine n(c(y)).\nAnswer: -46*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, o: 1, p: 9, f: 3, h: 1, c: 3}. Give prob of sequence pff.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -39*o**2. Let r(f) = 12*f**2 + 62*f + 6. Let n be r(-5). Let t(w) = -3745*w**2. What is n*t(c) + 385*m(c)?\nAnswer: -35*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 11*y = 300. What is the greatest common divisor of 30 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -90 - -89.97. Let m = c + 0.34. Sort m, -1\/2, 0.2, 0.5.\nAnswer: -1\/2, 0.2, m, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*b - 45 = -75*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/65002 and -70\/13929.\nAnswer: 195006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*l + 10*l + 2025. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17160\/143941 or 1?\nAnswer: 17160\/143941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 1:24 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, y: 4}. Give prob of picking 2 y.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -45, -50, -53, -54, -53, -50?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 79 = -m, 2*v + 5*m - 84 = -34. Is 12 a factor of (36\/v)\/((-2)\/(-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -199*z + 105081. Give s(528).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d - 3. Let u(c) = -5*c + 16. Calculate u(b) + 5*w(b).\nAnswer: -15*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -205065?\nAnswer: 205064.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from jgjmjgjgjhjjuujxmm?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*1 - (-613 - -631)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -397915, -797854, -1197793, -1597732, -1997671?\n\"Answer: -399939*m + 2024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518244 a multiple of 388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1837559 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*l + 307 + 149, 608 = 4*r - 5*l. Which is smaller: 144 or r?\nAnswer: 144","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.14\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/105*9 + (-25)\/7 - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -390 divided by -23\nAnswer: 390\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3*i = -764, k - 2*i = 3*i - 166. Let m = 154 + k. What is the lowest common multiple of 33 and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8648?\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 173 + -173.15. Let t = q + -195.35. Round t to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1877.78 millilitres to litres.\nAnswer: 1.87778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5545710483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 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: Is 157261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 10. Solve -1 = 2*f + 5*m, -2*f + 4*m - 8*m = i for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 10. Let q = -4 + x. Suppose -2*l + 149 = -0*l - 3*k, -4*l = -q*k - 310. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -0.02, 2\/9, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -374066\/4241 or -87?\nAnswer: -374066\/4241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.11346984 and -33980.\nAnswer: -33980.11346984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47157 and 15939?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00060293 to five dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25\/251 + 701\/4518. Let a(u) be the second derivative of 1\/3*u**3 - 18*u - 2\/3*u**2 + 0 - i*u**4. Factor a(s).\nAnswer: -2*(s - 2)*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 552\/142375?\nAnswer: 552\/142375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15075, -14725, -14375, -14025?\n\"Answer: 350*a - 15425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1 - d - 1. Let s(l) = 1. Let p(w) = s(w) + 2*t(w). Suppose -4*u = -0*u + 12. Determine p(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1526*x - 795*x + 391*x)*(x + 2*x - 4*x)*(-4 + 2 + 1) as k + p*x**2 + b*x and give p.\nAnswer: -1930","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 - 70. Suppose u*f = 4*z + 4508, 4*z - 20 - 2972 = -2*f. Let m be ((-9)\/(27\/f))\/(4\/(-88)). What is m rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*s - 70331 - 210657, 0 = 3*r + s - 210729. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 542190822 and 414.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/15250985 and -11\/9?\nAnswer: 137258865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2119 divide 114305092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 40296904537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9888*w - 79109. What is j(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 27*v**2. Let w(u) = -44*u**2. Calculate p(w(m)).\nAnswer: 52272*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, w: 1, c: 1, i: 1, m: 1}. What is prob of picking 1 w, 1 v, and 2 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -17.\nAnswer: 11\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -175 + 187. Suppose 36 - 480 = -z*o. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*l + 4917 = 409*l + 115*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.03956 or -24.999?\nAnswer: -24.999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -235, 3 in decreasing order.\nAnswer: 4, 3, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -64, -122, -192, -268, -344, -414, -472?\nAnswer: -512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhhhjjh. What is prob of sequence jhjh?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 143788560*d + 1033757499343680.\nAnswer: 5*(d - 14378856)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -524*i - 7286 + 521*i - 480.\nAnswer: -3*i - 7766","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9843671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 1:27 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60093785?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**2 + 3*r + 3. Suppose 19*g + 56 + 1 = 0. Suppose -5*l = -5*o - 2 - 3, l = 5*o + 13. Let m(q) = 3*q**2 - 2*q - 2. Determine g*m(c) + l*u(c).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*q - 1885, 16*k - 21*k - 4*q + 3131 = 0. Let m = k - 612. Solve 3*y - 21 = -m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2427, 4925, 7425, 9927?\nAnswer: 12431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert bb8463 (base 13) to base 9.\nAnswer: 8271544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o**3 - 6*o - 8. Let a(q) be the first derivative of q**4\/4 - q**2\/2 - q - 6331. What is 4*a(p) - u(p)?\nAnswer: -p**3 + 2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*z + 35*z + 24. Sort -5, z, -173 in ascending order.\nAnswer: -173, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36027525?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxx when three letters picked without replacement from qxqxeqxqe.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 13 - 38*r**2 - r**3 + 8*r + 22*r**2 + 14*r**2. Does 6 divide u(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 14*w - 9485. Give n(106).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = r + w, r + 0 + 42 = -9*w + 10*w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91154 to the power of 1\/2, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1024*l + 401 wrt l.\nAnswer: -1024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3473 divided by -151\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.3 in -4, 8, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-105)*6\/(-4).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(45)\/sqrt(5)))\/((sqrt(22)*-1)\/sqrt(11)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - n - 9 = 0, 2*w - 4*n + 24 = 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 1 - 4*a**3 - 2 + 13 to b + n*a + y*a**3 + d*a**2 and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1)**(-13)*u\/(u\/u**(-3\/2))*(u**(2\/9)*u)\/u*(u\/u**(2\/5))**43*((u*u*u**(-3)*u)\/u)\/(((u*u**(1\/5)\/u*u)\/u)\/u) assuming u is positive.\nAnswer: u**(1019\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -523.\nAnswer: 3\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 11*b**2 - 6*b + 28. Let u be m(-10). Let v(h) = 2*h + 87. What is the remainder when v(u) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tys when three letters picked without replacement from yyytstssstytvsty?\nAnswer: 25\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5140 + 5136. Let j(s) = s**3 - 3*s**2 - 4*s - 4. Let x be j(4). Let p be (2 - -2)*3\/x. Which is smaller: p or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmrytyb. What is prob of sequence mrb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + 0*d**2 + 0*d**2)*(0 + 2 - 3) + (-4*d - 4*d + 6*d)*(2*d + 6*d + 7*d)*(-3*d - 2 + 2).\nAnswer: 91*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38412 and 8730?\nAnswer: 192060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4285391 divided by 389581\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/38 and -7\/1919.\nAnswer: 3838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6534 = -2*u, 2*u - 6516 = 2*b - 6*b. Suppose -33*j + 41*j - u = 0. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -25?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/3 (b) -1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 212653 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -3, -843, 23, 0 in increasing order.\nAnswer: -843, -4, -3, -2, 0, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i - 4. Let m be (0 - (-5)\/(-2))*i. Solve 3 = x + 3*f + 1, m*x + 5*f = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3 + 2229.\nAnswer: 2227.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 0.0839\nAnswer: 0.4195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**3 + 4*n**2 + 16*n - 43. Determine i(5).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/7 - 65\/7. Suppose -6 = -f - 1, -4*i = 2*f + 10. Let t = i - m. Solve -a + 0*a + 21 = 5*r, -a = t*r - 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 102*q**3 + 30296*q**2 + 90558*q + 1764.\nAnswer: 2*(q + 3)*(q + 294)*(51*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2011 is divided by 72?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - -4)\/((-8)\/(-136)*1). Let z(n) = -19*n**2 + 6*n + 3. Let w(u) = 57*u**2 - 17*u - 9. What is l*z(f) - 6*w(f)?\nAnswer: -19*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 5*q + 1. Suppose 4*d - 19 = 3*x, -3*d + 3*x + 6 = -6. Determine k(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(-10)*-1*-478*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*m - 221 = 0, -4 = o + 3*m - 77. What is the smallest common multiple of o and 385?\nAnswer: 2695","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 3*j + 4*g, 2*j + g = -0*g - 8. Let m(z) = -1. Let k(l) = -75*l + 7. Let q(t) = j*m(t) + k(t). List the prime factors of q(-3).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 1093279154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times -0.540827?\nAnswer: 4.326616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*g + 18*g - 24. Solve -12*l + g*l = -20*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 298931 divided by 943.\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 3025105?\nAnswer: -3025111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6925199 equal to 6925203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -76, 0.1, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1573 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*a = -13, 4*h - 2*a = -h - 15. What is the common denominator of (15 + h)\/((-192)\/104) and 47\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -13*i. Suppose 0 = -12*g + 27*g - 1005. Let y(f) = 38 - 4*f - g + 29. Give y(q(r)).\nAnswer: 52*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 197, 384, 559, 716?\nAnswer: 849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4386382 divided by 2\nAnswer: -2193191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(204) - sqrt(204))\/sqrt(4) + sqrt(51))\/(sqrt(12)\/sqrt(4)*1 + sqrt(3)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-10 + (1 - -4)) - (72\/26 + -2)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 2*k + 5, -4*k + 4*u = 3 + 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -46 + 11316?\nAnswer: 11240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 74?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -576, -1012, -1312, -1476, -1504?\nAnswer: -1396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 137, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211122 (base 3) to base 5.\nAnswer: 4421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 532*s = -535*s + 1070*s + 27 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47502 is divided by 144.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2246\/26 - 3)*(-14)\/4. Let o = z - -292. Let b = -3.32 - -0.32. What is the nearest to o in b, 4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -661?\nAnswer: -655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4161 is divided by 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86721931?\nAnswer: 61, 167, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34299 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16598, -15215, -13832, -12449, -11066, -9683?\nAnswer: -8300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15856 - 4328 = -6*j. Suppose 6*h - j = 6788. What are the prime factors of h?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 9. Let i(n) = 1. Determine -6*i(t) + z(t).\nAnswer: -t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-2 + 1 + 3)*(9*o**3 + o**3 - 3*o**3).\nAnswer: 14*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/11))**(-1\/39) assuming f is positive.\nAnswer: f**(2\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2578 = 3*a - 13810, 3*a = -h + 3292. List the prime factors of h.\nAnswer: 2, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 44 + 37 = 4*y, -4*q - 4*y = -288. Let a = q + -57. What is the greatest common factor of 132 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.846849 to 3 dps.\nAnswer: 1.847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -2*b - 8, -66*r + 68*r = 4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 174, 5, 17, -12, -1, 3 in ascending order.\nAnswer: -12, -1, 3, 5, 17, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -54. Which is the closest to -1? (a) -11 (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -u, 337*u - 333*u = 3*z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -6*u. Let k(c) be the second derivative of u + 0*c**3 + 1\/20*c**5 - c + 0*c**2 - 1\/12*c**4. What is the third derivative of k(q) wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84060136.\nAnswer: 2, 443, 23719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -460, -1878, -4230, -7510, -11712, -16830, -22858, -29790?\n\"Answer: t**3 - 473*t**2 - 6*t + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2571 + 211*q - 58*q + 2571 - 161*q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.0467048\nAnswer: 0.1401144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.49 and -723.08.\nAnswer: -726.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of j**2\/2 - 1. Let q(y) = -3369*y - 81. Let g(s) = 125*s + 3. Let h(m) = -27*g(m) - q(m). Calculate h(b) + 3*v(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.6409s to milliseconds.\nAnswer: 6640.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z - 3. Let j = -14 + 9. Let c(u) = -2 + 0 - 3*u - u + 2*u. Determine j*c(y) + 4*g(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = g - 14, -3*l - 11 = -5*g - 33. Let o = 519 - 514. Suppose 2*h = l*p - 2, 2*h - o*p - 5 = -3*h. Solve h*s - 27 = -3*b, -s + 5*b - 6 = 3*b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 24*r - 24 = -20*r, 5*k = 3*r - 17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87 - -141. Is d a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 12 - 8 + m + 11. Let b(l) = -l**3 + 40*l**2 - 175*l - 11. Let q be b(35). What is a(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 1. Let j = -50 - -85. Let n = 37 - j. Let k = 3 + -2. Let o(p) = p**2 - 2*p - 4. Calculate k*o(a) + n*r(a).\nAnswer: a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + 7*p + 2. Let d be x(-3). Let v be 4*(-5)\/(-20) + d. Which is smaller: v or 1\/54?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 89646.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5276*u - 16642*u + 4177*u + 2625668 = 0 for u.\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 6*g + 10. Let y(i) = i + 6. Let j be y(-8). Suppose 2*w + 2*o = -20, 4*o + 22 = -w - o. Let t be (w + 0)\/(j\/(2 - 4)). Calculate l(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3876bc - -26?\nAnswer: -387696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7*g - 11*g = -740, 0 = 3*p + 5*g - 557. What is the least common multiple of p and 80?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*k - 1 + 6, 0 = -k - g - 5. Which is the nearest to 0? (a) -0.5 (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84 - 80. Suppose -c = 2*l, 5*g + 5*l - 18 = -3. Solve r - g*r = 5*x - 9, -r - 3*x = -4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1063 and 19158449.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(30) - (sqrt(120) + sqrt(30))*-4)\/(1*sqrt(6)*-2).\nAnswer: 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iviv when four letters picked without replacement from vvvvvivvvvvvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -15*v**2 - 611*v + 26390. Determine g(-67).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 29\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven tenths of a microgram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 2*t + t)*(0*t - 5*t + 4*t) + (3*t - t - t)*(4*t - 6*t + 3*t) + 3*t**2 + 2*t**2 - 3*t**2 + 0 - t**2 + 0 + (0*t + t - 2*t)*(-4*t + 2*t + t).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48, 53, 62, 75, 92?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-9)*69\/(-92))\/(-12)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 159, 633, 1411, 2487, 3855?\n\"Answer: -j**3 + 158*j**2 + 7*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -263, -524, -785, -1046, -1307?\n\"Answer: -261*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 13 = -5. Let c be (2\/4)\/((-3)\/(-102)). Let l = c - k. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2459975298 to the nearest integer?\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4399835553412 - 2.\nAnswer: 4399835553410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -42951.3 rounded to the nearest one thousand?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*v = -4, 2*v - 8 = -2*v. Suppose w + 6 = -2*t, 2*b - t - 5 = 0. Suppose u = 2*u. Which is greater: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 5 (c) 6 (d) -4 (e) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 150194.\nAnswer: 300388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 25 = 2*m, -3*m + 15 = -5*o + 2*o. Suppose -w + 11 - 9 = m. Suppose 0 = 3*q + 2*u - 16, u = -w*q - 2*u + 14. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 963005\/6 + -158327. Let b = -2167 + h. Find the common denominator of -15\/2 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 10*c - 22. Let x(p) = -p**3 + 12*p**2 - 26*p - 8. Let i be x(9). Let w(s) = -2*s + 2. Let y(z) = i*d(z) + 4*w(z). Determine y(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-509)\/(-17) - 1996\/(-33932)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -651 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g + 2. Let n = -7 + 12. Let j be ((-4 + 3)*3)\/1. Let l(c) be the third derivative of -c**4\/8 + 2*c**3\/3 + 2*c**2. What is j*l(o) + n*w(o)?\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131874, -131876, -131880, -131886, -131894, -131904, -131916?\nAnswer: -131930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 60 (b) -1435 (c) 3 (d) -1\/4 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1500) + sqrt(1500))\/((sqrt(5)*2 + sqrt(5))*-5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 9:17 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -280*t**4 - 115*t**3 - 10*t**2 = 0.\nAnswer: -2\/7, -1\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 2*r**2 + r**2)*(4*r - 2*r - 104*r)*(8 - 1 - 1).\nAnswer: -1836*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -130 - -128. Let b be 5978\/70 + c\/5. Suppose r - 85 = -2*z + b, -2*z = -3*r + 486. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2*d - 6, 2*g - 3*g + 18 = 4*d. Let c = -4 - g. Calculate the lowest common multiple of 7 and c\/(12\/(-8) + 1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52915547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k**(-10))*k**(-2\/21)*k*((k\/(k\/(((k*k**(-4))\/k*k*k)\/k)))\/k)\/((k*k**(5\/4))\/k))**(6\/11) assuming k is positive.\nAnswer: k**(559\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4425 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 9, c: 11}. Give prob of picking 2 n and 2 c.\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(18)*-2 + 5)*-4 + 2)*-5.\nAnswer: -90 + 120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, x: 1, l: 1}. Give prob of sequence xl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 1\/60*c**5 + 0*c + 1\/24*c**4 + 1\/360*c**6 - 3*c**2 + 1\/18*c**3 + 0. Let a(m) = 0. Calculate m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 571892379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 2*q - q + 8*q + 6 - 3*q**2 - 2*q**3. Let w be y(-4). Suppose 6*f**4 + 7*f**4 + 3*f**3 - 7*f**4 - 3*f**w = 0. Calculate f.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1417*i**3 + 1437*i**3 - 82*i**2 + 82*i**2.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgcreqcq. Give prob of picking 1 r and 1 g.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 0*z**3 - 4*z**2 - 1\/20*z**5 - 14*z + 0 - 1\/12*z**4. Let w(q) = q**3 - 5*q**2 - q + 5. Let s be w(5). Give k(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 6*o + 41 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2411 (base 8) in base 3?\nAnswer: -1202202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llrgnagaraganrnaa. Give prob of sequence lglr.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 + 1 - -4 - 4. What is the greatest common factor of h and 100?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100334385.1 rounded to the nearest ten thousand?\nAnswer: -100330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ooiiaiaaaiaaa?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 563 + -546 - (22 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 127, 783, 2501, 5809, 11235, 19307, 30553?\n\"Answer: 88*c**3 + 3*c**2 + 31*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c**4 - 2*c**2 + 165*c**3 - c - 4 - 86*c**3 - 80*c**3 in the form t + g*c + d*c**3 + f*c**4 + r*c**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 164\/3, 5, -0.1, -3.72 in increasing order.\nAnswer: -3.72, -0.1, 5, 164\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -57? (a) -7 (b) 2 (c) 3\/2 (d) -4.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-38)\/(-8) + (-2)\/(-8). Let z be 4\/(0 - (-2 - -1)). Suppose 0 = -q - z + 9. Solve 5*o + 3*h = -y, h + 7 = 2*o - q*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n - 4*n + 60 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1978152?\nAnswer: 2, 3, 11, 59, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-945))\/(30\/(-105))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-9) + 604\/6. Suppose 6*g - c = g. Suppose 0 = -3*k - 15, 0 = 2*m - 4*m - k + 5. Solve m*y - y = -g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13817\/(-3370))\/(27347\/(-116)).\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + 16 + 5*c - 22)*(-1 - 1 + 3) in the form r*c + b and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -2.6. Let c = 0.7 - y. Put c, -2\/7, -2 in ascending order.\nAnswer: -2, -2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285*j = -78447 - 39543. Calculate the highest common divisor of 1610 and j.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000087423 to 7 dps.\nAnswer: 0.0000874","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -4, 3, -5, -111 in increasing order.\nAnswer: -111, -5, -4, 3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -1\/2, -22 in descending order.\nAnswer: 2, -1\/2, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m - 1. What is the units digit of v(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2927003*m**4 + 2*m**3 - 5454870*m?\nAnswer: 35124036*m**2 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3831 - -1676. Let w = -889 - a. List the prime factors of w.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 z when three letters picked without replacement from oszzsxhiizso.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -7. Let s = -3.96 + -0.04. Let n = 1760.5 + -1761. Sort n, s, u in decreasing order.\nAnswer: n, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2\/9 - 2316*k - 145712\/9.\nAnswer: -4*(k + 7)*(k + 5204)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*u = -10, 2*u + 3*u + 11 = 4*i. Put -5, 1, i in increasing order.\nAnswer: -5, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 17, 7, -25, -91, -203, -373, -613, -935?\n\"Answer: -2*z**3 + z**2 + z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g - 55. Let s be n(14). Let l = s - -13. Solve -x - o = l, -4*o = 10 - 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*b - 109*b = -36*b - 909 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + (sqrt(76) - 4*sqrt(76)*1) + sqrt(76) + 3*(sqrt(76) + (sqrt(76) - sqrt(76)*2)))\/((4*2*sqrt(32))\/sqrt(8)))**2.\nAnswer: 19\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (88\/(-14) + (-20)\/(-70)). Let r be s\/((-567)\/(-203)) + -1 + 2. Which is smaller: 3 or r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99 (base 11) to base 9\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1879, 0, 5, -3, -1.\nAnswer: -1879, -11, -3, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 307 and 5.\nAnswer: 1535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1712562, 1712552, 1712536, 1712514, 1712486, 1712452?\nAnswer: 1712412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4 + (3 - (-500)\/(-16)). Let g be 4\/(p\/(-1)) + 2737\/49. What is the highest common divisor of g and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -14*w**2 - w. Let y = -30 - -34. Suppose 3*j + 5*v - 6*v - 1 = 0, 4*j = -y*v + 12. Give s(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 2*j = 6, 165 = 5*j + 160 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.3652669 rounded to two dps?\nAnswer: -63.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -21, -17, -13, -9, -5?\n\"Answer: 4*q - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100185728 divided by -16256?\nAnswer: -6163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3\/11 + 67526*p**2\/11 + 33764*p\/11.\nAnswer: -2*p*(p - 16882)*(2*p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 7*a = 0. Let z be a + 2*27\/6. Let v be 2\/6 - (-141)\/z. Calculate the greatest common factor of v and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 8:47 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.023 + -0.09. Let d = j + 0.06671. Round d to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110511745 a multiple of 1430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 13 = -3. Suppose w*z + 16 = -2*d - 0*z, 2 = -3*d - 2*z. Let t be d + -3 - -1 - 0. Solve t = -0*u - u - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -46, -66, -82, -94, -102?\n\"Answer: 2*s**2 - 26*s - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 533 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -224241420 (base 5) in base 7?\nAnswer: -11401435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 1781?\nAnswer: 1785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2518272?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 237 = 5*i. Let l be 0 + ((-12)\/66 - i\/(-33)). What is the second derivative of l*h**4 - 35*h + 3096*h**2 - 3096*h**2 wrt h?\nAnswer: 84*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2.3 (b) 0 (c) -2\/3 (d) 10\/7 (e) -2 (f) 32 (g) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38735)\/30988*(-156)\/(-5).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1755762*b*k*y + b - 6*k + 93021 wrt y.\nAnswer: -1755762*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**3 - 15*i**2 + 6*i - 23. Calculate f(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -2.8.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3032 (base 7) in base 4?\nAnswer: -100130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16954983 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from rwrwwrrrwr.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q**2 + 5*q + 2. Let y(c) = c**2 + 41*c + 34. Let d be y(-40). Let f(i) = 3*i**2 + 4*i + 3. Determine d*f(p) + 5*a(p).\nAnswer: 2*p**2 + p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 + 46?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/55)\/((-7)\/35). Let y = 35.7 + -34. Let v = y - 1.83. What is the nearest to 0 in v, b, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*k**4 + 5043*k**3 + 4*k**2 - 2478970 wrt k?\nAnswer: 16*k**3 + 15129*k**2 + 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f. Let i(c) = -1584*c - 1. What is i(m(a))?\nAnswer: -6336*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 430710 and 586586.\nAnswer: 61591530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -607 + 635. Let h = 21 + -46. Let v = h + g. Solve 0 = -5*q - 2*r - 15, -3*q - v - 6 = r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + 4*(4*sqrt(4400)*-1 + sqrt(4400) - sqrt(4400))\/((sqrt(144) - 1*(sqrt(144) - (1*sqrt(144) + sqrt(144)) - sqrt(144))) + sqrt(144) + sqrt(144))).\nAnswer: -32*sqrt(11)\/3 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0712 - -604.9288. Let z = t - 600. Which is the closest to -2\/5? (a) -0.5 (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3 - 3 - 5 + 1. Let x(z) = -z + 4. Let v(w) = -4*f(w) - 5*x(w). What is the units digit of v(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 6*u**2 + 4*u - 7. Calculate the least common multiple of i(-7) and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 less than -19342526?\nAnswer: -19342480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 23*z - 20. Suppose -3*w = -0*w + 51. Let o(a) = 8*a - 7. Determine w*o(y) + 6*j(y).\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -9*v**3 + 2. Let a(j) be the second derivative of -14*j**5 + 63*j**2\/2 - 496*j. Give -2*a(k) + 63*m(k).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d**2 + 139*d + 44. Give m(-22).\nAnswer: -594","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -196.95\nAnswer: -984.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 842 rounded to the nearest 10?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i**2 + i + 4. Let k(c) = 6*c**2 - 2*c - 4. Let m(u) = 3*k(u) + 4*l(u). Factor m(d).\nAnswer: -2*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -29*g - 63. Suppose -m - 2*m = 12. Does 4 divide q(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000101111 + 101?\nAnswer: -101000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(2057) + 1 - sqrt(2057))*1*-6*6 + -5*3*2*sqrt(2057)*-1)**2.\nAnswer: -23760*sqrt(17) + 1852596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4701927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 98*d + 495. Suppose -5*v - 2*v + 2*h = 27, -4*h = 5*v + 41. Determine j(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 11:43 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -26*y**4 + 10*y**3 + 5*y**2 + 5. Let w(u) = -u**4 + 2*u**3 + u**2 - u + 1. Let b(l) = 3*j(l) - 15*w(l). Find the second derivative of b(r) wrt r.\nAnswer: -756*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.04, 0.1, -0.6, -63?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28389710 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 - -15 - (-36)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzsnzznsnzznnzbz. Give prob of picking 3 n.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 103*m - 3. Calculate c(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 171546718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u. Let m(z) be the second derivative of 0*z**2 + 0 + z + 1\/3*z**3. Give y(m(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 4*m - 6. Let b be l(5). What is the units digit of (b - (-6)\/3)*21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v + 2*v - 2*v + (1 - 6 + 3)*(-4*v + 7*v + 6*v).\nAnswer: -17*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 8:27 PM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -10*z + 3*z + 1155*z**2 - 1139*z**2 + 7*z. Suppose -5*y = -0 - 10. Let w(h) = 0*h**2 + 3*h**y - 2*h**2. Calculate w(i(u)).\nAnswer: 256*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11737757 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1116 and 288?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1010130012 + -211?\nAnswer: 1010123201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 12 + 72 = 0. Let y be (1 - 4)*4\/(-6). Let q = u - y. What is the remainder when q is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14880 and 57840.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8*-1*1\/(-2). Suppose -32*d + 20*d = -36. Sort h, -5, d, 1 in decreasing order.\nAnswer: h, d, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 4:54 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -2*f**3\/3 - 11*f**2\/2 + 3*f. Let w be h(9). Round w to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -q**5\/20 + 7*q**4\/12 + 7*q**3\/6 + 2*q**2 + 18*q. Let y be l(8). Put 1, -5, 7, y in increasing order.\nAnswer: -5, y, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -54*p + 52*p + 14, -8 = -3*p - 5*w for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/7)\/(s*s\/(((s*(s\/s**(2\/5)*s)\/s)\/s)\/s)*s)*s*(s**(-2)*s)\/s*(s**1\/s)\/s)\/((s*s*s**(1\/4)\/s*s)**(18\/11)*(s**(2\/3))**(21\/5)) assuming s is positive.\nAnswer: s**(-9479\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 - -824066?\nAnswer: 824065.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 173 = -4*h - 169, 5*s + 16 = h for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-19)\/76 + 27\/12. Solve 2*s = -5*a + p, 3*s - a - 3 = a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Suppose -2*k + 4*d = 2*k - 12, a = 4*d. Suppose 7*h - k*h = 12. Calculate the remainder when 8 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 2223.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110010111011100 - -10111?\nAnswer: -100110010111000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a**2 + 44*a + 1. Let j be r(-11). List the prime factors of 115\/(-15)*(j + -16).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 103021, 205901, 308791, 411697, 514625, 617581?\n\"Answer: u**3 - u**2 + 102876*u + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*l**3 + 7 - 7 + 2*l + 0 to s*l**3 + h*l + m + c*l**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*((-45)\/(-8))\/(-5)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/35)*p**0 assuming p is positive.\nAnswer: p**(-2\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 2 - 12 = -2*p, 5 = p + 4*z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -577842 (base 9) to base 10.\nAnswer: -346961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, 3, -72, 10, -3 in descending order.\nAnswer: 10, 3, -3, -4, -7, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.1591*0.2\nAnswer: -0.03182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -2*a**3\/3 + 3060. Let y(k) be the first derivative of -k**2 - 1. What is u(y(d))?\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/78)\/(-1)*(-40)\/10?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 0*b**2 + 8\/3*b**3 + 0 - 2*b. Let l(i) = -15*i - 14*i**2 + 15*i**2 + 15*i. Determine l(g(p)).\nAnswer: 256*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22761 (base 8) to base 4.\nAnswer: -2113301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40090 and 2.\nAnswer: 80180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s**4 - 11*s**3 + 28*s**2 - 8*s - 4. Let m(i) = -8*i**4 + 10*i**3 - 29*i**2 + 7*i + 5. Let z = -4 - -8. Let a(g) = z*m(g) + 5*x(g). Factor a(c).\nAnswer: 3*c*(c - 2)**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -48*d - 3*d**2 + 6*d**2 - 71 + 11 - 9*d = 0.\nAnswer: -1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 28*f**2 + 26*f**2 + 4*f**2)*(0*f + 3*f - 2*f) in the form d*f + u*f**2 + r*f**3 + q and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 99*v - 22. Let p(k) = -49*k + 12. Determine -11*p(q) - 6*s(q).\nAnswer: -55*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 38 - 2 = 0. Suppose 0*k = k + 2*j - w, 0 = -5*j + 15. Suppose m + y + 5 = 0, 6*m = k*m + y. Does -2\/29 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(85\/(-15) - -4)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4)*g**(2\/11)*g*g*g*g**(-2\/5)*g\/g**(3\/7))**(-3\/38) assuming g is positive.\nAnswer: g**(-14337\/58520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 2:09 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148 = 5*y - 3*s, -7*s + 268324 - 268512 = 5*y for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 106554*k. Let y(d) = -d**2. Give y(o(x)).\nAnswer: -11353754916*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 48801*m - 46640*m - 13945 + 61487 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 23.96. What is the closest to 2\/7 in 4, -0.1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010010 (base 2) in base 6?\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5289528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 3. Let p be ((-1)\/(-1))\/((-8)\/12). Is w <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -287*z**3 + 31*z + 8*z - 341 - 39*z wrt z?\nAnswer: -861*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 53.627554058045?\nAnswer: 53.827554058045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 61.6. Let x = c + -0.6. Let o be (-3)\/102*72\/18. What is the smallest value in x, o, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 567 and 4824927.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**2 + 4*f - 9. Let u be i(6). Let k = -54 + 42. Let x = k - u. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33465670181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33408 + 62686. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 24 = -3*w, -w + d = -0*w - 3. Is 113\/5 + w\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5111.7 + -5111. Let g = 359\/10 + -36. What is the nearest to 2\/5 in g, -0.04, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 820, 1206, 1720, 2368, 3156, 4090?\n\"Answer: g**3 + 58*g**2 + 205*g + 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = q + 29, 4*q + 26 = -0*q - 2*k. Let i(c) = c**2 + 2*c - 4. Calculate i(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 3406?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1001*f**2 - 132*f**5 - 47*f**4 + 18*f**6 + 132*f**5 + 407*f**2 - 9*f**6 wrt f?\nAnswer: 1080*f**3 - 1128*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33517957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/(-12)*(-18)\/(-5) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3 + 2*v - v - 2*v. Let i be 1*(0\/(-3) - -22). Suppose -j + i = 27. Calculate p(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 44*c. Let i(y) = 2*y + 5. Let p(j) = 6*j + 1. Let m(h) = -3*h - 1. Let v(u) = 13*m(u) + 6*p(u). Let f(z) = 7*i(z) + 5*v(z). Give f(w(a)).\nAnswer: -44*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**4\/2 - 167722*s**3 + 18707372640*s**2 - 688591796888600*s - 581635169761877000 = 0.\nAnswer: -826, 112090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -6) + 13 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (646\/266)\/((-6)\/42)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = f - 8, -2*f - 217 = -3*m - 215 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u**2 - 1038*u + 4081. Determine w(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 229 in 1\/2, 21, 2\/11, 2, 2\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of 6*y - y**4 + 0 + 0*y**2 - 5\/2*y**3. What is the second derivative of i(h) wrt h?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 539, 3, -5, 0, -1, 48, 9 in descending order.\nAnswer: 539, 48, 9, 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 - 246*j + 2. Let x(i) = -3*i**2 - 495*i + 3. Determine -5*u(z) + 3*x(z).\nAnswer: z**2 - 255*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuyuhuuutustkuuuutu. Give prob of picking 3 u and 1 s.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.25 + 37.46.\nAnswer: 37.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -24. Solve -3*a + 6 = 3*h, 5*a = d*a - 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 55*z**2 - 3*z - 1. Let n be j(-1). Let h = n + -49. Suppose -3*g = 4*w - 487, -h*w = -3*w + 25. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1067, 2\/9, 0, 3, 74.\nAnswer: -1067, 0, 2\/9, 3, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4311 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/42 and 61\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n. Let y(z) = -102*z + 103. Let w(r) = 5*j(r) - y(r). Differentiate w(d) with respect to d.\nAnswer: 97","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6*1))\/((-78)\/1170)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 28*w**2 - 28*w + 28. Let g = 1392 - 1421. Calculate k(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1170*q - 449*q = -8652 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -252*x - 2*x + 461772. What is the highest common divisor of 4 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2. Let j(c) be the first derivative of c - 68. Let g = 152 + 16. Let v(z) = -4*z + 28. Let p(q) = g*j(q) - 6*v(q). Determine x(p(d)).\nAnswer: 1152*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/(p*p**(-1)*p)*p*p)\/p*p*p)**13*((p*(p\/(((p\/p**0)\/p)\/p)*p)\/p)\/p)**(2\/115))\/(((p*p\/p**7)\/p)\/(p*p**1))**(-19\/4) assuming p is positive.\nAnswer: p**(1614\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 90, 35, -20, -75, -130?\n\"Answer: -55*n + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.761 + -68\nAnswer: -68.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4278063757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -22366 divided by -2\nAnswer: 11183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 8*m**3 + 5*m**2 - 8*m - 2. What are the prime factors of s(3)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l - 2 + 5*l + 2*l - 7 in the form g*l + v and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1373 = 15*t - 802. Calculate the remainder when t is divided by 31.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 y when four letters picked without replacement from yvyyvv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -714 - -306. Let b = s - -400. Let u = -4.5 - -5. What is the nearest to -1 in u, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 6782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 17*j + 20. Let h be m(18). Suppose 0 = -g - 0 + h. Let b be (-104)\/(-39) + g\/6. Solve 0 = -q - 1, -b*q + 22 = -6*v + v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 8 - 14)*(0*c - c + 2*c) + (-2 + 2 + 1)*(c - 2 + 2)*(2 + 1 - 2) - 5*c + 3*c + 0*c.\nAnswer: -25*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrrh when four letters picked without replacement from zzerhrihzbhe.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*d + 10. Suppose -d = -5*s + 31. Solve 2*a - 3 = -s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p**3 + 27*p**2 - 84*p + 100. Calculate h(9).\nAnswer: -1385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -5 - 0) + 3. Let l be (-4 + 9)*2\/j. Solve -4*x = x + p + 1, -4*x + l*p = 12 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 14, 0.2, 4, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 661240 and 66124?\nAnswer: 661240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - g - 20 = -4*k, -g = 0. Let h = k + -8. Factor -2*m**3 - 3*m**2 - 1\/2 - 1\/2*m**4 - h*m.\nAnswer: -(m + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 98 = -5*x, -s = -798*x + 803*x + 92 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggnn when four letters picked without replacement from ggngngnggggggggngg?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 38218 times 1.03\nAnswer: 39364.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60.039 - 60. Let c = 0.261 + x. Let d be ((-16)\/6 + 2)*(-90)\/100. What is the second biggest value in c, d, 6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 + 25\/(-200) + 56\/(-64))\/((-4)\/(-12))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1439 - 1118. Let m = 316 - r. Suppose j + 4 - 1 = 0. Sort j, -0.3, m, 5 in ascending order.\nAnswer: m, j, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.188 times -1059?\nAnswer: 199.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 12:53 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by (45\/36)\/((-13)\/(-52)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(198) - (sqrt(198) - 1*sqrt(198)))\/sqrt(11))\/sqrt(9).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 23 = a. Suppose -2*g + 8 = 3*o - a, -5*o - 2 = g. Does 16 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 40 = -97. Let j(m) = -m**3 + 8*m**2 + 9*m + 1. Let k be j(9). Calculate the remainder when h is divided by (-7)\/(-2)*(1 + k).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1938*n + 1937*n - 4*o + 356, -19*n + 22*n - 8*o + 805 = 73 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/91148463 and 61\/49984641.\nAnswer: 1549523871","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fquuuquqf. What is prob of picking 3 q?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6216 less than -223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 5*p**2 - 8*p + 7. Is v(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -135\/4 or -35?\nAnswer: -135\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1891877724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 6:57 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000910513 to 7 dps.\nAnswer: -0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1782 and 3140280.\nAnswer: 28262520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 353 divide 1201194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukkk when four letters picked without replacement from uuuukuukuuuuukuu.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 116?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 7 + 7 - 5*c + 0*c + 6*c + (-1 + 2 + 0)*(-2*c + 5*c - c))*(1 - 3 - 4)*(5 - 8 - 15).\nAnswer: 432*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104 + 341. Let c = h + -613. Let x = c + 309.7. What is x rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -594*c**4*i + c*i + 263*c wrt c?\nAnswer: -7128*c**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5, -9, -11, -5, 15, 55, 121, 219?\n\"Answer: i**3 - 5*i**2 + 4*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uejuzhj. What is prob of sequence ju?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u. Let l(r) = r - 3*r + 7 - 7. Give x(l(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/5 - -1\/5. Which is the closest to 1\/4? (a) 5 (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5*r - 24. Suppose -87*q + 11*q = -6080. What is the lowest common multiple of q and r?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301200*u**2 + 150579*u**2 - u**3 + 150621*u**2 + 3 - 3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 669513605 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: Does 252 divide 724248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7743 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 279?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18933141?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 188 = 3*n. Suppose -2*t - 3*o - 11 = -n, t + 5*o = 25. Solve -3*h + 3*f = t, -3*f = -h - 6 - 9 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 44*z + 464. Let c(l) = -6*l - 1. Calculate b(n) + 7*c(n).\nAnswer: 2*n + 457","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(7)) - (sqrt(7) - (sqrt(252)*1)**2).\nAnswer: -7*sqrt(7) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 361537?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -891 at least as big as -891?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: c5 (base 15) to base 7\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.2, -3227?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 22. Suppose -f*n + 50 = -n. Suppose 5*m - 5 - 5 = 0. Calculate the highest common factor of n and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 3*p + 3*p)*(-4 + 1 + 4)*(-4*p**2 + 6*p**2 - 12*p**2)*(2 + p - 4*p + p).\nAnswer: 20*p**4 - 20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -222529*f*x**3*y - 217*f*x**2*y - f*x*y + 1148*x*y - y wrt x?\nAnswer: -1335174*f*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 14*q**2 + 4*q + 7. Let v(h) = -7*h**2 - 2*h - 3. Let k(y) = -3*n(y) - 7*v(y). What is the second derivative of k(g) wrt g?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004673 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 0*p**6 + 3\/2*p**2 - 10\/3*p**4 + 97*p + 0*p**3 + 61\/42*p**7 + 0 + 0*p**5. Find the third derivative of f(n) wrt n.\nAnswer: 3660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4473 + 1054250?\nAnswer: 1047555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*l + 15, l + 0*l + t = 4. Let f be 2*(3\/(-2))\/l. Let 1\/4*s**f - 3\/2*s**5 + 1\/2*s**2 + 0*s + 0 - 7\/4*s**4 = 0. Calculate s.\nAnswer: -1, -2\/3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*c - 2*h - 1, 2*c + 13 = -h. Let k(f) = f + 6. Let s be k(c). Suppose -3*i = -3*n - 1419, 3*i + 4*n - s*n = 1419. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 6:21 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(2 + (-80)\/45). Suppose -x*o + 29*o = 44. Solve -o*c - c = 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*4533.445\nAnswer: -906.689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.015 - 11.385. Let n = y - -11.39999906. What is n rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -1. Let a(f) = 7 + 0*f**2 + 2*f**2 - 3*f**2 + p*f. Suppose -12 = -5*r + 3*s + 27, -3*s = 4*r - 15. Give a(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**5 + 3*w**3 + 42*w**2 - 3*w wrt w.\nAnswer: 120*w**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 7*w + 3*w = 17, 0 = -5*u - 2*w + 41. Let z be 3\/u - (-1)\/(-12). Let d = 1.94 - -0.06. Sort -2, z, d.\nAnswer: -2, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1351*f = 1127*f - 2464. Let p(c) be the second derivative of -c**5\/20 - c**4 - 11*c**3\/6 - 3*c**2 - c. Determine p(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1235 and 760.\nAnswer: 9880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3304 = -8*l + 4*l, 0 = -2*q - 10. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + a + 1. Let h(c) = -12*c**2 + 10*c + 10. Let m(d) = -h(d) + 4*o(d). What is the tens digit of m(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -273 divided by 178249.\nAnswer: -273\/178249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 1 + 6*f + 0 + 4*f - 6. Let n be q(2). Suppose r = -4*r + n. Which is the nearest to r? (a) -5 (b) 0.4 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**4\/12 + u**2. Let q(v) = v. Let d(l) = -3*l + 5*l - 3*l. Let w(b) = 4*d(b) + 5*q(b). Give w(x(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 333?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -158265, -158267, -158269?\n\"Answer: -2*s - 158263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4 - (-527)\/4. Let v be (-5 - -3) + 5 - -1. Suppose -v*l - 20 = 4*h - 5*h, -5*h = l - 58. Calculate the highest common factor of h and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25396 bigger than -25538?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27533419 is divided by 28861?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 617682642 a multiple of 1840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 421356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64748 is divided by 10791?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -655*x**3 + 329*x**3 - 581*x**3 - 430*x**3.\nAnswer: -1337*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 + 4*u - 4*u + u**2.\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/2 - 2*m**2 + m\/2 + 3.\nAnswer: (m - 3)*(m - 2)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.10395 minus -4.242041?\nAnswer: 4.345991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 - 22 = -2*k - 5*g, g = -2. Suppose -k*q + 2730 = -43*q. What is the highest common factor of q and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - 80\/(-12))*(-2)\/(-1524). Let h = 19423\/9144 + v. Find the common denominator of h and -101\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 + 23.1. Let g = -0.1 + z. Let u = -315\/13 - -1601\/65. Sort g, -5, u in decreasing order.\nAnswer: g, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 6*b**2 + 4*b + 4. Let r be 6 + -3 + 0 - 1. Let v(n) = -3*n**2 + 3 + 2*n**r - n - 4. Let i = 7 - 11. What is i*v(j) - g(j)?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209504*f**2 + 418148*f**2 - 208631*f**2.\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 29*a - 348. Let l(w) = -4. Let o(b) = g(b) - 87*l(b). Let d(t) = 3*t**2 - 4. Let i(x) = -3*x**2 + 5. Let z(m) = 5*d(m) + 4*i(m). Give z(o(q)).\nAnswer: 2523*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - 39. Let y(j) = -14*j - 327. Let q(u) = -6*b(u) + y(u). Let x(k) = -2*k - 10. Calculate q(x(l)).\nAnswer: 4*l - 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 197 = k, -2*j + 0*j = 5*k - 850. Suppose 0 = 2*m + 4*h - 544, 11*h = m + 9*h - 256. Let n = m - k. Is 46 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1021*a**3*g**2 - 14854*a**3*g - a**2*g**2 + 23*a**2*g - 2*a*g - 31800*g**2 - 3*g + 4 wrt g?\nAnswer: 2042*a**3 - 2*a**2 - 63600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26980*y**3 + 25827*y**3 - 52811*y**3.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 7:18 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1407 = 4*i, 7*i + 5598 = 4*u + 6*i. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, s: 8, j: 1, b: 5, i: 1}. Give prob of picking 1 l and 1 s.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 2)\/(37 + -33). Suppose -q + 4*u = 2, 2*q + v*q = -3*u + 51. Calculate the remainder when 51 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44805, 59896, 85049, 120264, 165541, 220880?\nAnswer: 286281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -3, 16762124, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 16*y = -2*i + 738, -2*y - 1824 = -5*i. Which is bigger: 365 or i?\nAnswer: 365","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*j**3 + 19*j**3 - 33*j**3.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c14766 - 3?\nAnswer: -c14769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 760 and 148390?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223*j - 8348*j**2 - 68 - 223*j.\nAnswer: -8348*j**2 - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65415759.\nAnswer: 3, 2179, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1898 - -2449. Which is smaller: 544 or r?\nAnswer: 544","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a microsecond in nanoseconds?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10922 + -10880. What is the second biggest value in -26, n, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -733*s**3\/6 + 3*s**2\/2 - 5*s. Suppose -4*c + 1 - 9 = q, 3*c + 6 = -4*q. Is f(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7*g + 5. Let v be p(3). Let f = 17 + v. Which is smaller: f or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 27?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 27 + ((3 - 5) + 2 - (-130 + 126))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 9.1 (b) 1.2 (c) -0.71 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*f + 6*o - 1, 8 = 2*f + 4*o. Suppose 0 = r - 2*j - 66, -f*r + j - 163 = -5*r. Suppose -8*x + 4*x = -r. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1038207753?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -602 or -487?\nAnswer: -487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 54\/7, -1, 5, 50?\nAnswer: 54\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -3, -31, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2086096703 to the nearest integer?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2736 and 110637?\nAnswer: 1770192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -18. Sort j, -4, -0.4 in decreasing order.\nAnswer: -0.4, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96 - 15 - ((6 - -14) + (-3 - 0))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 37*m**2 + 27*m + 39. Let t(x) = 20*x**2 + 13*x + 20. Let k(j) = 6*b(j) - 11*t(j). Let g be k(-9). Solve 9*l - 4*l = -g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, d: 2, f: 1}. What is prob of sequence fdi?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.6733531 to 1 dp.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -323.999999371 + 324. Round w to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 9*y**2 - 9*y - 7. Calculate l(-10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -3*x - 2*h + 2, 0 = -h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 39 = -5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 3*c + 12 + 2, 22*m - 14*m - 3*m - 10 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2fe + -36bb?\nAnswer: -39b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4557 (base 9) in base 2?\nAnswer: -110100101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234 and 1926.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59*k**4 - 11*k**2 - 20*k - 3*k**5 + 9*k**4 - 7*k - 9*k + 5*k**2 wrt k.\nAnswer: -180*k**2 - 1200*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3, -1\/13.\nAnswer: -3, -0.4, -1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 374546 and 4.\nAnswer: 749092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 51518*a - 51373*a - 8265 for a.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + x - 35. Let h be d(0). Let y(p) = p**3 - p**2 + 4*p - 2. Let n be y(4). Let o = n + h. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1888.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28371437 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 1 + -1 + 1. Put s, 5, 2 in descending order.\nAnswer: 5, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -101044?\nAnswer: 101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/(-15))\/((-28)\/21))\/(6\/(-8))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 29050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -s, d - 4*s + 2*s + 3 = 0. Let v = 0.6 + -0.9. What is the second biggest value in v, d, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*k**2\/3 - 3444*k + 21168.\nAnswer: 4*(k - 252)*(10*k - 63)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.396 rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 107*u + 946. What is r(-8)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -1)*(12 - -49). Let c = x - -64. Solve 3*b = -5*d + c - 1, 2*d + 5*b = 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*u - 15. Suppose -60 = -5*f - u*d, 5*f + d - 54 = -d. What is the greatest common factor of f and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 300?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-14)\/(-6) + 0 - 4\/(-6) and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h**(-20)*h)*h)\/h**(4\/3))**(-23))**(-2\/3) assuming h is positive.\nAnswer: h**(2714\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47, -97, -147?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 10}. What is prob of sequence xxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o = 5*n - 120, 526*n + 10 = 521*n + 2*o - 38 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**3 + 6*x**3 + 8*x**4 + 4*x**2 - 3*x**2)*(2*x - 2*x - x).\nAnswer: -8*x**5 - 3*x**4 - x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**5 - 20*v**4 - 140*v**3 + 590*v**2 + 375*v - 2250 = 0. What is v?\nAnswer: -5, -2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1700593 is divided by 94477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 12, -26, 4760, -2, 1 in increasing order.\nAnswer: -26, -2, 1, 5, 12, 4760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0 + 9 = 0. Let h = -10 - 4. Let o = h - z. Which is the second biggest value? (a) -2\/9 (b) -2\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1745.8 - 1746.2. Put -4\/5, x, 2, -11.6 in decreasing order.\nAnswer: 2, x, -4\/5, -11.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9, -2\/7, -0.3 in descending order.\nAnswer: -2\/7, -0.3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 631441 and 492.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.10751km to meters.\nAnswer: 63107.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/6, -0.2, 1\/15, -2, -1\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 15 = -3*m, n = -1003*m + 1008*m + 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*(sqrt(14) + sqrt(56)))\/(sqrt(112)*-1*2).\nAnswer: -9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 - -13. Let w = 18 + u. Let d be 81\/(-21) - 0 - -4. Put 0, -1\/4, d, w in descending order.\nAnswer: w, d, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**5\/20 + u**4\/12 - u**3\/6 + 37*u**2\/2 + u. Is p(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and 0.0156?\nAnswer: 4.9844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10857070164.7 - -0.06.\nAnswer: -10857070164.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 118 + 238 = 0. Calculate the remainder when 124 is divided by 27*6\/j*-4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**7*w\/w**(-2\/7))**(31\/5))**18 assuming w is positive.\nAnswer: w**(32364\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 + -30. Suppose -3*y + h*y = 532. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1376153937 or -1?\nAnswer: 1\/1376153937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 16, -2*r - 6 = -3*x + 14. What is the units digit of (r\/6)\/(4\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - 9*u**2 - u + 3. Let s(f) = f**3 - 11*f**2 - f + 3. Let l(b) = -6*r(b) + 5*s(b). Let h be (0\/1)\/(5 + -7). Determine l(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-10)*q*q**(-4\/7)*q)**1)**(2\/19) assuming q is positive.\nAnswer: q**(174\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 6:38 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/11 - (-30)\/40) + (-11)\/(-44).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -1. Let u(y) = 5*y + 20. Let l be ((-15)\/(-6))\/5*-2. Let b(q) = l*u(q) - 15*w(q). Find the first derivative of b(i) wrt i.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -67, -128, -211, -322, -467, -652, -883?\nAnswer: -1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwz when four letters picked without replacement from pwjpwppjpppppzpppww.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 0 + (43 - 2) + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q**2 + 2*q. Let m(v) = v + 1. Suppose 53*i - 62*i + 9 + 9 = 0. Determine i*g(s) - 2*m(s).\nAnswer: 8*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/247 != 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/8980 and 39\/20.\nAnswer: 8980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/2380 and 1\/254898?\nAnswer: 2548980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 581047?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 350 and 361950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 1 = -8, 2*l = -2*g + 2. What is z in -8*z**2 - 4*z - 11*z**5 + 4 + 7*z**5 + 8*z**3 + 0*z**g + 4*z**4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqbqbqbqqqqq. What is prob of sequence bbbq?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: What is the remainder when 950879 is divided by 475033?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 32 = -3*r. Let n = -1 - r. Calculate the greatest common divisor of 6 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84026 + -57489. What is the greatest common factor of 17 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3\/(175\/86 + -2) and 9.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + ((sqrt(686)*-2 + sqrt(686) - sqrt(14))\/(sqrt(14)\/sqrt(63)) - ((sqrt(700)*4)**2 + sqrt(3136)\/sqrt(7))).\nAnswer: -11194 - 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-6)\/c)\/c)\/c**(-1\/11) assuming c is positive.\nAnswer: c**(-87\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3230112202 + 212?\nAnswer: 3230113020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 = 2*p. Let z(g) be the first derivative of g + 0*g**p - 1\/3*g**3 + 2. Differentiate z(f) wrt f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*f + 35 + 9, -5 = -f + 4*t. Let p = -33 - -33. Let s = 3 + p. Which is greater: s or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1068 + -1005. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 5 = k, -57*d - 5*k = -54*d - 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11120 - 2122022212121?\nAnswer: -2122022201001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 819 or 801?\nAnswer: 819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1423 + -1422.9643. Let g = w - 2.0357. Let a = -13 + 22. What is the fourth smallest value in a, 2, 1, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4359841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 13\/12, 18, -3, -7, 4, 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - -0.18. Let b = -1.12 - t. Let l = 5.6 + -6. What is the nearest to b in l, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-13 - -6) - 1) + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 14*n**3 + 6*n**3 + 3*n**2 + n + 5*n**2 - 2*n**3 - 19*n**3 - 3. Determine r(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p. Let h(x) = -6*x - 1. Let v(t) = -2*h(t) + 11*j(t). Let z be v(-2). Determine y so that -4 - 4*y**2 - 6*y + z + 2*y**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -12, -4*a = q + 4 - 1. Suppose r = -n - a + 9, r + 4*n = 3. Suppose -168 = -7*l + 3*l. Calculate the remainder when l is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z**4 - z**4 + 2*z**4 + (210*z**3 + 63709 - 63709)*(-2 + 2 - z) as n*z**3 + a*z**4 + f*z**2 + r*z + m and give a.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**2 - 10198304*r + 40793232 = 0.\nAnswer: -10198308, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (19 - 8) - 37?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2296*l + 5. Let o be a(1). Factor 185*q**3 + q**4 - 406*q + 4*q**4 + 2340*q**2 + o*q + 8905*q + 8640.\nAnswer: 5*(q + 1)*(q + 12)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 10*f**2 - 3. Determine b(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyttyyyyyyyyyyyyyy. Give prob of sequence ytyy.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 15. Suppose -2*b = -4*b - 22. Let u be h(b). Solve -3*q + u = l - 0, 4*q - 2 = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - -4)\/(11\/((-22)\/(-4))). Suppose -191 = -4*r + 7*b - 6*b, -2*r = -k*b - 103. Calculate the remainder when 206 is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 631*s + 1903. What is t(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (464\/(-18))\/(13540\/30465)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**4\/3 - 41*a**3\/3 + 376*a**2\/3 - 112*a = 0 for a.\nAnswer: 0, 1, 12, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 3:41 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13534 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 468 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -10001001011110010?\nAnswer: 10001001011110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 1374.\nAnswer: 9618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i - i - 4*i)*(-12*i**2 - 23*i**2 + 16*i**2) in the form s*i**2 + w*i**3 + c*i + q and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 2\/43, -1\/2, 0.132 in descending order.\nAnswer: 0.132, 2\/43, -2\/13, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 131 - 197. Let l = -35 - s. Suppose 0*t = -5*t + 80. What is the remainder when l is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100201202012 (base 3) to base 12\nAnswer: 92a1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzgzxxxgzxmzm. What is prob of picking 1 g and 1 m?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d = -17*d - 3*s + 181, 3*d = -s + 47 + 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -h + 31, 0 = -3*o - 7 - 5. List the prime factors of h.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -16*j - j**3 - 7 + 9*j**2 + 20*j - 10*j. Let s(m) = m + 2. Let d be s(6). Calculate the remainder when 35 is divided by x(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9299)\/10914 - (190\/(-84) - -30*(-27)\/(-567)).\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 7:03 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-4)*1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x - 6 + 3*x + 0. Let t(b) = -8*b**2 + 2*b + 1. Let z be t(-1). Does 10 divide p(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102 + -45. Suppose 1239 = 9*k - w. Is 19 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1872.24 + 1872.3. Put -5, i, 5, 2, -21\/2 in decreasing order.\nAnswer: 5, 2, i, -5, -21\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**4\/24 + h**3\/6 + h**2. Let n(j) = -16*j - 12. Let o(z) = -n(z) - t(z). Is o(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17a + 10?\nAnswer: 18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29630?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -8. Let v = 29 + -14. Calculate the greatest common factor of i and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - (-37 - (-13 - -28))) + -3 + 6?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*j = -160. Let b be ((-3)\/(36\/j))\/(6\/9). Let w(v) = v**3 + 5*v**2 - v + 7. Calculate w(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j = 0. Let t = 1768 - 1766. Factor 2 + 7*s - 4 + j - s**t - 4*s.\nAnswer: -(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43280 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a century in months?\nAnswer: 20100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -6*c - 2. Suppose c*d - 63 = 175. List the prime factors of d.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*m**2 - 153879*m + 32976 = 0.\nAnswer: -3664, 3\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**3 - 11*b**2 - 14*b + 11. Let w(g) = -g**3 + 4*g**2 + 5*g - 4. Suppose -126*i - 8 = -123*i + 4*z, 5*z = 5. Give i*c(u) - 11*w(u).\nAnswer: -u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.03 - 6. Let v = z + 0.07. Is -2 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 294, 578, 862?\n\"Answer: 284*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 11044\/(-110) - -3*(-2)\/(-15). Let c = o - -106. Suppose 5*l - 6279 = c*w - 2*w, -5*w + 20 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -3 (c) -4364 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - 5 + 5 - 2)*(312 - 368 - 7*u + 8*u) to the form c*u**2 + l*u + m and give m.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/34820 and -123\/56900.\nAnswer: 99062900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37549 - -22?\nAnswer: 37571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215 a factor of 8121060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1432 - 4?\nAnswer: -1441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.12 + -6.12. Let n = 5.34 - -0.76. Let h = n + w. What is the nearest to h in 0, 3, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -34*i**2 - 3*i. Let l(b) = -34*b**2 - 2*b. Determine -3*l(k) + 2*n(k).\nAnswer: 34*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + -56.54. Let q = 0.36 - y. Put -2, q, -5\/3 in descending order.\nAnswer: q, -5\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -285352 - -856057\/3. Let y = -0.8 - -0.3. Sort k, -4, 0.15, y in decreasing order.\nAnswer: k, 0.15, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 2. Let x = 2.5 + w. What is the third smallest value in x, -0.1, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/2 (b) -3 (c) -3\/40 (d) 15725\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 4*h + 5*h + (-4*h + h + 2*h)*(1 - 1 + 1) - 2*h + 0*h + 0*h)*(343 - 178 + 96).\nAnswer: -261*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqbxqoqhouuqoouxqq. What is prob of picking 2 b?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3860272842?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5 + -4*(sqrt(99) + -1 + sqrt(99) + -4 + (0 + sqrt(99))*-4))**2*-1*4.\nAnswer: -26242 - 2880*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 120*i*o**2 + 31*o**2 wrt i.\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 104 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g. Suppose 40 = -0*m + 5*m. Suppose 4*p = 4*t + 37 - 1, -2*t - m = 0. Let r(h) = p*h - 41 + 41. What is r(o(n))?\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 238, 642, 1244, 2056, 3090?\nAnswer: 4358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/140 and 187\/67410?\nAnswer: 134820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40840 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/3*(-33 + 56 - 23). Let o be 2 + -1 - 6\/8. Let -o + l*h + 1\/4*h**2 = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189925 and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/45 and 22\/1078719.\nAnswer: 16180785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51 - 13*g**2 - 51)*(-3 - 2 + 3).\nAnswer: 26*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6) - (-110)\/15. Suppose -x - k = 2. Let r = 26 + x. What is the remainder when r is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-120)\/(-84))\/5 - ((-82388)\/7 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 f, and 1 a when three letters picked without replacement from mmasasfjv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9537265, -19074509, -28611753, -38148997, -47686241, -57223485?\nAnswer: -66760729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1022, -993, -964, -935?\nAnswer: -906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/6*(-72)\/(-60)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/666 and 61\/555?\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 minus 1782746?\nAnswer: -1782761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -25*i**3 - i**2 - 3*i - 2. Let g be a(-1). Suppose 0 = -7*z + 2*z + g. Solve -7 = 3*f + z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-2))\/(5\/(-10)). Let p(t) = t**2. Let o(q) = -3*q**3 - 21*q**2 - 81*q - 81. Let l(d) = k*o(d) + 6*p(d). Solve l(w) = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/94815 and -8\/1212309.\nAnswer: 260646435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 33. Give s(-19).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**3 - 20*v**2 - 166*v - 243. Give l(-2).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -42*i - 623 - 151 + 56 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -15, 3*l = -5*x + 32830 - 1132. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, 4.99, 0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2264 - 2240. Let a = -322.4 + 298. Let n = p + a. Sort n, 3, 1\/4 in descending order.\nAnswer: 3, 1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*c - 1167*g + 593*g + 572*g - 16, -6*g = -2*c - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + -3*sqrt(108)*3 + sqrt(108) + -3 + (-2 + sqrt(108) - sqrt(108)))**2.\nAnswer: 576*sqrt(3) + 6948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 1 + (-1 - -6 - 6). Let t = 2 + -1. Sort t, -11, x.\nAnswer: -11, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2133 - 1?\nAnswer: 2132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**2 - 9956*l - 9961434 = 0.\nAnswer: -3591, -1387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23101330302 + -13?\nAnswer: -23101330321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.99666mm in kilometers?\nAnswer: 0.00008899666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-9) + (-31)\/(-93). Factor -u*c + 2\/9 - 2\/9*c**2 + 2\/9*c**3.\nAnswer: 2*(c - 1)**2*(c + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 113 + -9. Suppose h - n = -3*h. Let p = h - -12. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 323*s**4 - 57*s wrt s.\nAnswer: 3876*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 784202747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2519103 and 2154?\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.4 (b) 1\/33 (c) -6730 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -204 - 3?\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 153066740 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 at most 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 167015117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 6*d**2 + d + 1. Determine p(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73920 by -14784.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -3, 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 1)*(-358*r + 25*r**3 + 358*r)*(-2*r**2 + r - r)*(1 - 4 + 2).\nAnswer: -200*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3656927\/142324 + -8258\/391. Let q = h + -15\/52. What is the common denominator of (-2)\/7 + (-834)\/(-28) and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 - 10211001?\nAnswer: -10211024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 75689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + -1*sqrt(272)*-3 - 2*sqrt(272)*-5)**2.\nAnswer: 53312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (1*(4 + (-2 + sqrt(117) + sqrt(117) - sqrt(117)) + -3 + sqrt(117) + 2 + sqrt(117)))**2 + -2 + -5.\nAnswer: 18*sqrt(13) + 1042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 215 + -212. Solve a = 3*l + 15, 0 = c*a - l - 4 - 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 256 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/22 and ((-392)\/108 + 4)\/((-4)\/(-75)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -0.1 (c) 1\/2 (d) 159 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -200126201 (base 7) in base 13?\nAnswer: -2516918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3. Let z(n) = 3*n**3 - 7*n**2 + 2*n - 7. Let h(t) = -4*b(t) + z(t). Let x be h(-7). What is x rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -485289, -970575, -1455859, -1941141, -2426421, -2911699?\nAnswer: -3396975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f. Let c(d) be the first derivative of d**2\/2 - 18. Determine c(o(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uupuupuuu. Give prob of picking 2 u and 2 p.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 193\/4. Let w = 13.86 - 14. What is the smallest value in w, s, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-4))\/((-8)\/(-80)). Suppose 4*q - q - 13 = 2*a, 19 = -y*a + 3*q. Let z(o) = -o**3 - o - 4. Let w be z(0). Put -3, a, w in descending order.\nAnswer: a, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -128 + 127 - (-2 + 11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 149.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 722 - 767. Put 0, 2, h in decreasing order.\nAnswer: 2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 12388545*u - 297323352.\nAnswer: -3*(u - 4129491)*(u - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9935 (b) -5 (c) 2 (d) -2\/9 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-6))\/(1\/39). Let t(b) = b**3 - 7*b**2 + b + 17. Let s be t(6). Let l = s - y. Solve l = -2*o - 2*o - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(6\/5)\/o**(1\/19)*(o*o**(-4\/3))**(-10\/3) assuming o is positive.\nAnswer: o**(1931\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 103561 less than 103561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 0)*(7 + 6 + 1)*(-5*k + k + 3*k) - 2*k + k - k.\nAnswer: -44*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -8*l + 100. Let u = l - 28. What is the lowest common multiple of -5*(-2)\/3*(-12)\/u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 2*a - 1. Suppose 351*c - 356*c = 5*z + 20, 4*z = -c - 19. Give j(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -601 + 40. Let o = -373 - p. Suppose -5*z + o = -z. Is z a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - -0.24. Let f = -21.902 + 26.902. What is the second smallest value in f, 0.5, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**10*f)\/((f*f**(-16))\/f)*f**(-27)*f**(9\/7) assuming f is positive.\nAnswer: f**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1033221 + -2?\nAnswer: -1033223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4 - 2*s**2 + 3*s - 3*s + s. Let x be (2 - 0)*(1 + 3 + -5). Let r be f(x). Which is the closest to -0.1? (a) -1\/4 (b) r (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 + -4 + (58 - 25) + -26.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1680138 and 1116?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 9*q + 10. Let p be s(-7). Let w be p\/7*14\/(-4). What is the smallest value in w, -7, 3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7322, -4887, -2450, -11?\n\"Answer: t**2 + 2432*t - 9755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2669.\nAnswer: 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 173, 262, 353, 446, 541?\nAnswer: 638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*(91\/286 - (-2)\/11). Suppose -d = j + 3, 0 = 5*j + 4*d - 0*d + 17. Sort -4, j, q in descending order.\nAnswer: q, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 61*t**7\/6 - 482*t**3\/3 - t**2\/2 - 287*t - 3. What is the second derivative of q(g) wrt g?\nAnswer: 8540*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2837538.\nAnswer: 2, 3, 11, 17, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -12. Let l be (-4)\/120 + ((-174)\/(-45) - 4). Which is the biggest value? (a) 0.2 (b) l (c) -1\/10 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 29\/6*p**2 - 5\/2*p + 0 + 1\/3*p**3 = 0?\nAnswer: -15, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5647746 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -3, 3, 0 in descending order.\nAnswer: 20, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**6\/120 - o**5\/40 + o**3 - 2. Let b(j) be the third derivative of l(j). Factor b(q).\nAnswer: 3*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 c when three letters picked without replacement from vccpcvcvtccl.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*j + 19767 = 55*j + 7545. Solve 30 = -33*b + j*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 + -1240?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(9) - (-3*sqrt(90) - sqrt(90))\/sqrt(10) - sqrt(9)))**2 - ((sqrt(2) - sqrt(18)\/(sqrt(9)*1)) + sqrt(72)).\nAnswer: -6*sqrt(2) + 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**6\/6 - k**3\/3 - 167*k**2\/2 - 9*k - 9. What is the derivative of y(q) wrt q?\nAnswer: 20*q**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*(-1*sqrt(833))**2 + -1) - (((1 + (sqrt(612) - (sqrt(612) + -1)))**2 - sqrt(612)) + sqrt(187)\/(sqrt(1100)*1)).\nAnswer: -8339 + 59*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7.1*-183.753\nAnswer: -1304.6463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -14, -5, 204 in decreasing order.\nAnswer: 204, -4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) -1 (b) 2 (c) 6\/11 (d) 1.17 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owooooooowoo. Give prob of picking 3 o.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-2)\/((1152\/168)\/24).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -2, 3, -466.\nAnswer: -466, -2, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -273 - -190. Let o = z - -88. Solve 0 = 5*y + 10, -o*k + 8*k + 4*y = -5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32950639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 e when three letters picked without replacement from xeeee.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*b = -9. Suppose -5*z = -h - 23, 2*h + 3*z = z + 14. Suppose 2*j - u = 8, -2*u + 24 = h*j - 7*u. Solve j*o + b*o = 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/24 of a day?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*r - 13. Suppose -5*t = -0*t + b - r, 2*b + 10 = 2*t. Suppose -5*q = -0*q + v - 434, t*q = -2*v + 259. Is q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l - 3. Let w be f(0). Suppose p + 6 = -t - p, 0 = -4*t + 4*p - 48. Let z = t - -9. Sort 3, w, z in decreasing order.\nAnswer: 3, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.183799us in weeks?\nAnswer: 0.0000000001623409375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l**2 - 7*l + 1. Let c(d) = -2*d**2 + 4*d - 1. Let w(h) = 3*h**2 + 4*h + 5. Let k be w(-2). Suppose 0 = 6*r - k*r - 15. Give r*c(x) - 3*b(x).\nAnswer: x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 - 456852*u\/5 - 26089218738\/5.\nAnswer: -2*(u + 114213)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47014.\nAnswer: 2, 11, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11220 (base 3) in base 11?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 1:39 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -22. Which is the nearest to 0? (a) m (b) 0.3 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*w - 4*a, -5*w - 4*a + 28 = -3*w. Let f = w + -7. Suppose -18 = -f*s + 3*s. Solve -9 - s = 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 90*m**4 + 85*m**4 - 166*m**4 + 9*m + (4*m - 2*m + 0*m)*(2*m**3 + 3*m**3 - 6*m**3).\nAnswer: 7*m**4 + 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13244 + -110442?\nAnswer: -42143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31021*n**2*x - 16*n*x**3 + 15*n*x + 3*n - 15*x**3 - 187*x**2 + 423*x - 53 wrt n?\nAnswer: 62042*n*x - 16*x**3 + 15*x + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 945280 divided by 67520\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 71e1 (base 15) to base 6\nAnswer: 303221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 836059 divided by -2\nAnswer: -836059\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/2 + 80610796*u - 3249050215876808.\nAnswer: -(u - 80610796)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12886 + 13138. Solve 11*h - 53*h - x = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, a: 2, n: 3, j: 4}. What is prob of picking 1 n and 1 j?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 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 5*p - s - 2 + 10 = 0, -2*p + 7 = 3*s. Let c be (-2)\/(-7) + 2\/(-28)*-52. Sort p, 2, c in increasing order.\nAnswer: p, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 5*o - 2. Let s(k) = -k**2 - 7*k + 2. Let z be s(-5). Let v = 70 - 65. Suppose -x + v*x = -z. Determine n(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**19\/i)\/i**(-2\/3)*(i\/(i**(1\/10)*i)*i)\/(i**16\/i) assuming i is positive.\nAnswer: i**(167\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 - 2*h**2 + 127 - 310*h - 310*h + 622*h + 2*h**2 to the form w + v*h + x*h**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence upu when three letters picked without replacement from mtjjujaaujaujtamapuu?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4.368291 millennia?\nAnswer: 52419.492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 24 = -4*i - 10, 26 = -103*i + 133*i - 2*y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/22 and 13\/226?\nAnswer: 2486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -3793668?\nAnswer: -1\/1264556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jznt when four letters picked without replacement from {z: 1, t: 1, q: 1, n: 1, j: 2, l: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 324\/(-28) + 14 + -2. Let k(u) be the first derivative of 17 + 2\/7*u**3 - h*u + 3\/14*u**2. Suppose k(q) = 0. Calculate q.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 3 + 23)*(-2*j**2 + 0*j**2 - 3*j**2)*(-j + 3*j - j).\nAnswer: -190*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14174, 14092, 14008, 13922, 13834, 13744?\nAnswer: 13652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -7*c**2 - 4*c - 6. Calculate s(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 53*n - 36*n + 41*n + 17. Is c(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 1. Suppose 3*l + 10 + 2 = 0. Let x(w) = w**3 + w - 4. Suppose 2 = -4*h - 2. What is h*x(i) + l*r(i)?\nAnswer: -i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307*f + 149*f + 152*f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 19*b**2 - b - 15. Is 4 a factor of g(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**4\/6 - 20*v**3\/3 - 55*v**2\/6 + 15*v.\nAnswer: 5*v*(v - 9)*(v - 1)*(v + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*v + 161, 0 = 3*k - 3 - 0. Let g be 2\/5 - (-1 - v\/(-5)). Let z be (-15)\/g*(30\/9)\/(-1). Let m(n) = n**3 + 9*n**2 - 9*n + 10. Determine m(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(38)*5)\/((sqrt(2) + sqrt(2)*4 + sqrt(2))*-1))**2 + -5.\nAnswer: 295\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*n + r - 0, 0 = -n + r + 5. Put n, 6, -1 in ascending order.\nAnswer: -1, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -104 + (-21 - -23) - (2 - (-4 - -1))\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u + 32. Determine h(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a5dcf + -4?\nAnswer: -a5dd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 1804096?\nAnswer: 5412288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -469072.\nAnswer: 469071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 200 by -5.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 34 = -5*j, -5*d + 4*j = 18 - 69. Which is the nearest to 1\/3? (a) -0.5 (b) -14 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.024 - 0.224. Let o be ((-2)\/(-4))\/(38\/(-114)). Let s be -3 + 0 + -1 - -1. Which is the closest to j? (a) -1\/4 (b) s (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -13 - 14. Let h be ((-24)\/(-16))\/(6\/8). Suppose h*x - 15 + d = 0. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(0 + 1 - 2)*(3*u**3 + 4*u**2 + 0*u**3 - 32*u**2).\nAnswer: -3*u**3 + 28*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9, 79, 149, 219, 289?\n\"Answer: 70*o - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6029 or 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*h - 22 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*z = -6, -h + 10*z = 11*z. Let u be -2 - (2 - 0)*-2. Is (3434 + u)*h\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -810 + 809.9166. Let j = b + 0.057. What is j rounded to three decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23236.9 - 23124.027. Let i = 0.127 + f. Let t = 113.0138 - i. What is t rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14.83, 0.4, 3, -0.5, -2\/5.\nAnswer: -14.83, -0.5, -2\/5, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332\/(-20)*5\/(-1) is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i**2 - 12*i**2 + 3*i**2 - 5*i**2 - 41*i**2.\nAnswer: -41*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 21290?\nAnswer: -21290.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from {p: 1, k: 3, i: 3, l: 2, q: 4, s: 2}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 71058\nAnswer: -1\/35529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*f - 7*f. Suppose -f*c + 3 = -c. Let s(z) = z**2 - 3*z + 3. What is the remainder when s(4) is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/((-12)\/(-27) + 235\/(-630)). Let m = y - 39. What is the remainder when 269 is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-22))\/(66\/4686) - -7?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - l**2 - l + l - 2*l**2 + (2*l**2 - 23493*l + 23493*l)*(1 - 4 - 1) to the form k*l**2 + r + m*l and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -9. Let t be 9\/w - 2\/(-4). Let m(b) = b + 27. Let c be m(-24). Solve -2*y - 5*h = y - 30, -t*y = c*h - 34 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3540*r - 1591. Is b(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-12) + 10\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**4 + 4*s**3 - 4*s**2 - 5*s. Let h(b) = 3*b**4 - 7*b**3 + 7*b**2 + 9*b. Let k(c) = -4*h(c) - 7*m(c). Find the second derivative of k(p) wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-4))\/((-36)\/(-96)). Which is the second smallest value? (a) r (b) -1\/3 (c) 2.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10200773 to the nearest integer?\nAnswer: 3194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tu when two letters picked without replacement from tthtthtthhuttthht?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -233 + 240 - (13 - -1) - -24.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -385*k + 762*k - 7*k**2 - 3*k**4 + 8 - 377*k to the form i*k + d + r*k**4 + u*k**2 + j*k**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -7, -15, -39, -85, -159, -267?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14 + (-3*(-3)\/3 - -1). Let u = y + 10. What is the greatest common divisor of u and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f. Let y(p) be the first derivative of -p**2 - p - 1. Let d(t) = 3*u(t) + 2*y(t). Differentiate d(x) with respect to x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3)*(-63)\/12 - (-18 + -4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652786207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 2 = 16*n. Suppose -k + 457 = 5*t, 0 = t - n*k - 2 - 85. Suppose 4*w - 169 = t. What are the prime factors of w?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11059477?\nAnswer: 11, 13, 77339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16847395751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7959395?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 67519 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -15, -18, -23, -30, -39?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7886 = 5*m + 3*n - 37513, -17*m + 154332 = 2*n. What is the highest common factor of m and 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**4\/4 + a**2\/2 - a - 477. Suppose 0 = -z + 4 - 0. Let b(c) = -2*c**3 + c**2 + 4*c - 6. What is z*r(s) - b(s)?\nAnswer: -2*s**3 - s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + 9. Suppose 0 = -l - 0 - b. Is (-650)\/(-14) - (-9)\/l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.053 - 13. Let n = h - -0.047. Sort n, 2\/11, 6 in ascending order.\nAnswer: n, 2\/11, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -440.18 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 326 + -341.1. Round b to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 14541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 + i**2 - i - 5. Let j be (21\/(-9) - -2)*-9. Let u(w) be the first derivative of 3*w + 5 - 2*w - j. What is o(f) + 5*u(f)?\nAnswer: -2*f**3 + f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 + 80. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 3901*t**4 - 2*t + 3706*t**4 - 8 - 2*t**2 to the form u*t**3 + x + v*t**4 + c*t**2 + a*t and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -213, -208, -197, -180, -157?\n\"Answer: 3*g**2 - 4*g - 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2064 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/4 + (-65)\/20. Let j = 0.9508 - -0.0492. What is the nearest to 0 in 5, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + s. Let d(n) = -3*n**3 - 2*n**2 - 9*n + 4. Suppose 0 = -f + 5*t - 15, 5*f + 1807*t = 1811*t - 33. Give f*v(w) - d(w).\nAnswer: -2*w**3 + 2*w**2 + 4*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -459*i**2 + 1 - i - 1 + 493*i**2.\nAnswer: 34*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -351 + 451. Let y = -58 - -83. What is the highest common divisor of y and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18\/27)\/((-10)\/3)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-54)\/(-80730)*23).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184092 and 696?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -17*n**3 - 2*n**2 + 8*n + 11. Determine g(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**5 + 283*r**4 + 2311*r**3 - 8147457*r**2 wrt r.\nAnswer: 120*r**2 + 6792*r + 13866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 378*a**2 + 17772*a + 56. Determine f(-47).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/11 - (-26)\/143\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1223*s*u**2 + 4*s*u - 13*u**2 - 9059 wrt u.\nAnswer: -2446*s - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50 + -30?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b - 554d89?\nAnswer: -554d7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 3314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1 - 7 = 0. Solve -4*x + 6 = -s*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 965165.3m in nanometers?\nAnswer: 965165300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1292960 and 646480?\nAnswer: 1292960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 294753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*q + 7087 = 179*q + 281*q - 2461 for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6740692, -6740703, -6740726, -6740761?\n\"Answer: -6*j**2 + 7*j - 6740693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4759089l?\nAnswer: 475.9089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (20 - (-5159)\/(-231))*1*(2 - -7)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 84. Is k a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 202?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3378.4 - -10019220.\nAnswer: 10022598.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3099 divided by 12.\nAnswer: 1033\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 7941.\nAnswer: 31764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2 - 118*f + 116 = 0. Calculate f.\nAnswer: 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 842, 2888, 4934, 6980, 9026?\nAnswer: 11072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 525c + -2a98?\nAnswer: 2494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*f - f = 28, -i - 18 = -4*f. Let q be 2 - (-2 - i)\/(-2). Calculate the highest common divisor of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74435298 divided by 28651\nAnswer: 2598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = 7*l - 118. Solve -5*v + 8 = -l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449535 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**8\/60480 + s**7\/15120 + s**6\/1080 + 7*s**5\/30 + 14*s**2. Let a(w) be the third derivative of g(w). Factor a(y).\nAnswer: -(y - 2)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1976351 = 10261*j + 673204 for j.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*d**2*z + 46*d**2 + d*l**2*z + 6*l**2*z + 3*l**2 wrt z?\nAnswer: -4*d**2 + d*l**2 + 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*k - 150, 32*z = -4*k + 27*z + 200. Solve 2*p - 2*s - 14 = 0, -s - 32 = 4*p - k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 453493*i + 1813993. Calculate m(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53553012125 - -3?\nAnswer: -53553012122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(5) - (3 + sqrt(125)))**2 + -5*sqrt(5) + sqrt(5) + 2.\nAnswer: 20*sqrt(5) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3509*c**2 - 2591?\nAnswer: -7018*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 23 = -68. Suppose 0*v - 3*v = -w. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 17\/36, -3\/4, 3.5, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1923070 is divided by 1923065.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -5.9, 5, 223, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -498889*t**2 + 617252.\nAnswer: -997778*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h*q**2 - 1443*h*q - 11*h + 2*q**2 + 30886*q wrt h.\nAnswer: -q**2 - 1443*q - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j - 3. Let l(g) be the third derivative of 0 - 1\/24*g**4 + 0*g - 1\/6*g**3 - g**2. Let q = 3 - 2. Determine q*n(b) - 3*l(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - y + 4 = 5*j, 0 = 4*j - 3*y + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 - 2*i**3 + 0*i**2)*(17 + 23 - 22*i**2 - 38).\nAnswer: 44*i**5 - 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/13 (b) 1 (c) 0 (d) -1\/7 (e) -6\/7 (f) 25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -167424 divided by -6976?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82.07 + 82.01. What is the fourth biggest value in g, -0.4, -41, 0?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7992160 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1208? (a) -4\/5 (b) 0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 15*f - 13*f. Suppose -y + 19 = 2*g + 1, -9 = -3*g + f*y. Is g >= 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6797427*q + 6545106?\nAnswer: -6797427","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10220130021 (base 4) in base 9?\nAnswer: -2250530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2. Let t(r) = 129617567*r. Give q(t(p)).\nAnswer: -16800713674999489*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99 = 3*l - 5*z - 920, -5*z - 1103 = -4*l. Suppose c + l = -2*c. Let w = 72 - c. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*x**3 - 5*x - 2*x - 12*x**3.\nAnswer: 7*x**3 - 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 77665.15km?\nAnswer: 7766515000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38865462 is divided by 2599?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -284524 and 7.\nAnswer: -284517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32055.\nAnswer: 3, 5, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {g: 1, h: 8, d: 4, c: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**4 + 1146*g**3 - 1142*g**2 - 1146*g + 1144 = 0.\nAnswer: -1, 1, 572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 798, -39, 1, -1.\nAnswer: -39, -3, -1, 1, 798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**4\/12 + w**3\/2 + 2*w**2 - 3*w. Let y be v(-3). Suppose 0 = y*o + o - 30. Calculate the highest common factor of o and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 957 + -942. What is the greatest common factor of 1455 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 467 = 5*s - 4*j, 0 = -4*j - 20. Let m be -126*(136\/(-6))\/(-2). Is m\/s - (-2)\/15 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, z: 4, w: 3, a: 1, s: 2}. What is prob of picking 2 e, 1 w, and 1 a?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 28 - 2 = -3*u + 27, 2*r = 21*u + 3 - 402 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.2 (c) 1 (d) 151\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228651413.\nAnswer: 89, 2569117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2 + 10. Suppose z*h + 206 + 114 = 0. Calculate the least common multiple of 4 and (h\/25 + 2)*-10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 - y**3 + 0*y**3 + 3*y**3 + 4*y**3 - 5*y**3 - 2*y**3 + 0*y**3 + y**3 - y**3 - 1 + 1 + (y - y + y**2)*(3*y - 3*y + 2*y) - 3*y**3 + y**3 + 4*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a milligram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42990 - 30033. What are the prime factors of a?\nAnswer: 3, 7, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + i + 20. Suppose i*n + 4 = 12. Suppose 0 = -2*q - n*s + 8, 2*q - 4*s = -0*q + 32. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.8588 or -5\/3314?\nAnswer: -5\/3314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -39, 1, 75, 189, 349, 561, 831, 1165?\n\"Answer: c**3 + 11*c**2 - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2798 and 41.97.\nAnswer: -2756.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -41, -34, -27, -20?\n\"Answer: 7*l - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h + 3. Let j be t(-2). Let g(r) = r - 1. Let u be 3 - -1 - 2\/2. Let l be g(u). Which is greater: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479657760 a multiple of 3760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19031776091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 1295 divide 5892250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and 5681934?\nAnswer: 17045802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -10) + (0 - -30 - 5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-8)\/m)\/m)\/m)\/(m*m*m\/(m**(-2\/19)\/m))*(m*m**1\/m)**(-20) assuming m is positive.\nAnswer: m**(-667\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26226130 is divided by 1765?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqtznqnqtqngqvqqqvq. What is prob of sequence ng?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 0.25 (c) -2 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 7:56 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (1 - 3) + 8 + -8 - 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 84*t + 84. Let p be q(-1). Factor -3\/2*m**3 + 0*m + p - 3\/4*m**2 - 3\/4*m**4.\nAnswer: -3*m**2*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11038, -11640, -12636, -14026, -15810, -17988, -20560?\nAnswer: -23526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, v: 2, z: 3, o: 6}. What is prob of picking 1 j and 1 z?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 20 - 5)*(2 - 3 - 1)*(-o**2 - 3*o**2 + o**2).\nAnswer: 210*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1160 and 44312.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.124 + 0.004. Let l = 0.12604 + s. Round l to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 3)*2\/6*(-3)\/9. Suppose 3*u + 2*y - 22 = 0, 2*u - 2*y - 3 = -5. Sort q, 0.5, u, 0 in descending order.\nAnswer: u, 0.5, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92810848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -2. Solve -5*t - 3*g + 34 = 0, -2*t = -5*g + u + 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21.46372cm?\nAnswer: 0.2146372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.1, 2\/3, 0.5, -1, -1323\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/5, 3366, 14, -0.3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2. Let k = -15 - -21. Let f(o) = o + o - 7*o + k*o. Determine f(s(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5 - 4 = 0. Let x = -9 - c. Let n = 11 + x. Solve n = -5*q + 5*z, -3*q = 3*z + z + 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3920 a factor of 826339920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13010212434 (base 5) to base 15\nAnswer: 15a4dce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 21*t. Suppose k = -4*c - 15, 4*k - c = 1 - 10. Let p be v(k). Let j = p - -97. Does 17 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-145)\/(-8)*2*4. Suppose 5*m - z = v + 4*v, 5*v = 4*m - 142. What are the prime factors of (0 - v\/(-4))\/((-8)\/80)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -267*t - 1190. What are the prime factors of p(-24)?\nAnswer: 2, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65648228617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7003 - 7003.89996. Let d = 19 - 18.1. Let h = d + i. Round h to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-32))\/3*-9 - -1.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5775*y**3 - 9909891*y**2 - 4251331656*y + 6625476.\nAnswer: -3*(y + 858)**2*(1925*y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 477544819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 + 3*n**3 + 0*n**3 + (-2*n**2 - n**2 + 4*n**2)*(7*n + 8*n + n).\nAnswer: 22*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-8)\/66)*4. Suppose -224 = -27*a + 34*a. Let z = -10 - a. Calculate the greatest common factor of r and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(1\/5))\/a)\/a*a)\/a**2*(a*a**(-1))**(-14) assuming a is positive.\nAnswer: a**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -582611.8 rounded to the nearest ten thousand?\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 4. Let m(h) = -h**3 + 3*h**2 + 2*h. Calculate the lowest common multiple of 4 and m(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 85519?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.5888572 millilitres?\nAnswer: 0.0005888572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10106 - 10105. Solve -5*m - t = 3*d, -15*d + 18*d - 3 = -3*m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 25, 3\/4, 1\/16?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5520 by -6.\nAnswer: -920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(33)\/(sqrt(11)*2*3) - 2*(-3 + sqrt(108))) + 2)**2.\nAnswer: -568*sqrt(3)\/3 + 5809\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2204 and 1044.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -23*p + 1185. Determine r(22).\nAnswer: 679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 74524307 to the power of 1\/3, to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9214 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) 5 (c) -117 (d) -0.2 (e) -7\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -15*n. Let b(l) = 3*l + 1. Let d(y) = -2*y - 4. Let p(c) = -4*b(c) - d(c). Determine p(g(j)).\nAnswer: 150*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -10*g**5 + 42*g**4 - 38*g**3 + 6*g**2 = 0.\nAnswer: 0, 1\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1680*k - 7819*k = -17256 - 118114 - 196136 for k.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24255485 to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206 = 4*i - 70. Let c = -106 + i. Which is greater: c or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10*(3 + 7\/(-2)) + 3. Let s(p) = -1. Let y(d) = 2 - 3 - d + 2. Give r*s(z) - 2*y(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 20 = n + n, 5*n - 1 = 2*d. Is d at most as big as 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 80*i**2 - 9*i + 9. Let n be f(2). Suppose -60*v + n = -59*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 171 (base 13) to base 11\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -36*h + 391. Determine a(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*z - 16*z - 2*z - 14*z - 13*z.\nAnswer: -21*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 14*o**2 + 15*o + 8. What are the prime factors of q(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20745731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 350, -44, 8 in descending order.\nAnswer: 350, 8, 2, -3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-54)\/(-243)*(2\/16)\/((-6)\/(-36)). Sort -4, 2.8, z, 2.\nAnswer: -4, z, 2, 2.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*k + 113*k - 1190 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(2*(sqrt(3) - (sqrt(3) - sqrt(18)\/sqrt(6)))) - ((sqrt(16)*-4)\/sqrt(8) + -1).\nAnswer: 1 + 9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4037816?\nAnswer: 2, 504727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/7, 0.03, 1\/3, -5, 0.059 in decreasing order.\nAnswer: 1\/3, 0.059, 0.03, -8\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 0*m + 5*d + 19, -4*m + 5*d + 37 = 0. Let k = -4 - -9. Suppose -m = -6*i + k*i. Let a(x) = -x**2 + x - 3. What is a(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-90))\/(((-189)\/(-1470))\/(-3)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 11:44 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 0 (c) 0.2 (d) 3\/2 (e) -196\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92154?\nAnswer: 2, 3, 15359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 5*t = -17 + 10 + 52 - 18, 0 = 50*w + 3*t + 68 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4450 and 102020.\nAnswer: 45398900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -368377367770 minus 0.2?\nAnswer: -368377367770.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25219759*y**4 - y - 112386930 wrt y?\nAnswer: 100879036*y**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -510, -996, -1474, -1938, -2382?\nAnswer: -2800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**3*l**3 - 3212*j**3*l**2 + 378*j**3*l + 5*j**2 + 68*j*l**3 + 1493*l**2 wrt j.\nAnswer: -18*l**3 - 19272*l**2 + 2268*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 2045?\nAnswer: 2040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 3:40 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmcvm. What is prob of sequence mc?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 771.\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119526 is divided by 2602?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m. Let t be k(-3). Suppose 5*n + p - 8 - 25 = 0, -p = n - t. Let a = 1 + n. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380 rounded to the nearest 10?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 41321120353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5513663044?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, 2\/7, -4, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/((-11)\/(-1))*(-3)\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24830 is divided by 3102.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from {w: 7, h: 9}?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 74542e7?\nAnswer: -74542e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -13.\nAnswer: -11\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 959602.2 nanograms to tonnes.\nAnswer: 0.0000000009596022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, -6.22, -194?\nAnswer: -194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**4\/4 - g**3 - g**2 + 269*g + 97. What is the remainder when y(0) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66\/527 - -11\/248. Calculate the common denominator of c and 30\/187.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*z + 39*z - 58. Suppose m + 4*t + 6 = 0, 3*m + 5*t = -0*m - 4. Suppose m*d - 3*f + 18 = 2*f, -24 = 4*d - 4*f. Is d bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 27\/316 (b) -0.07 (c) 2 (d) -3\/4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 41*g**2 - 6*g. Does 24 divide b(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = b - 3 + 1, -3*t = -9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffbebcfcbfhebffbfqfe. Give prob of picking 2 c.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l + 8 = -4*v, -3*l + 8 = -5*v. List the prime factors of -44*l\/(3\/(-6)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)*-5)\/(sqrt(8)\/sqrt(4)*4) + 0.\nAnswer: -15*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*b = 103*b + 32 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-183586)\/(-13455) + (-13)\/(819\/(-98)).\nAnswer: 76\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 34713, 34724, 34739, 34758, 34781, 34808?\n\"Answer: 2*v**2 + 5*v + 34706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*p - 5*p + 3*p)*(5 - 2 - 4) + 0*p - 2*p + 0*p + (-2 - 5*p + 2)*(-5 + 4 + 3))*(150*p + 40*p**3 - 150*p).\nAnswer: -560*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4*-2 + 12\/12 + 7. Suppose -5*x = -2*d + 3*d + 16, -10 = 5*x. Sort -2, z, 2, d in decreasing order.\nAnswer: 2, z, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/74063610 and 127\/720.\nAnswer: 592508880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4825*n - 4832*n - 5*r + 23, 18 = 4*n - 2*r for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*(-9)\/(-24))\/(-1). Suppose 0 = 3*m - 0 - 6, 3*m - 14 = 4*x. Let r be (16\/6)\/(x\/(-3)). Put r, v, -3 in increasing order.\nAnswer: -3, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.65169nm in millimeters?\nAnswer: 0.00008465169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4732 is divided by 645?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 14. Let f = -1 + k. Is 2 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -10*i + 5. Let t(m) = -10245*m - 25 + 10226*m + 34. Determine 11*c(o) - 6*t(o).\nAnswer: 4*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 11:25 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 - 287*b**2 - 1330*b - 158. Calculate d(148).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 16216 = -h, -652 = s + 4*h - 3912. Is s a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94 + 200. Let x = 111 - k. Solve x*l = 10*l + 15 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -5*q**3 + 2. Let h(o) = -o**2 - 25*o - 22. Let a be h(-24). Let p(n) = n**3 - n**2 - 1. What is a*p(j) + b(j)?\nAnswer: -3*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*u**4 - 126*u**3 - 672 with respect to u.\nAnswer: 12*u**3 - 378*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b**2 + 2*b**2 - 3*b**2)*(-3 + 2 + 0) - 4795*b**2 + 2086*b**2 + 1171*b**2 as x + g*b + z*b**2 and give z.\nAnswer: -1539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 20 = -6*g. Let y be (-4)\/(-6)*168\/(-448). Sort -0.5, 3, y, g in decreasing order.\nAnswer: g, 3, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**2 - 840*t = 0?\nAnswer: 0, 420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 8*w**2 - 2*w. Let o(q) = 14512*q**2. Give y(o(i)).\nAnswer: 1684785152*i**4 - 29024*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 2:36 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 183329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 2*v**2 + v - 4. Let i be o(-3). Find s, given that -11*s - s - 4*s**i + 7*s**2 - 36 - 4*s**2 = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138107\/4 bigger than 34528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-21)\/49)\/((-79299)\/(-2646) + -30). Determine u so that -2\/7*u**3 - t*u + 0 - 4*u**2 = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108 + 695. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 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 6*o - 23827293 = 9*o. Let y = -325660706\/41 - o. Let b = y - -513. Is b bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 44*f + 43. List the prime factors of p(29).\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 5*j**2 - j + 5. Let v be m(-5). Let g be 3\/(3*6\/60). Is v at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from taaahhiaaaahaihdhaaa. Give prob of picking 2 h and 1 t.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*u - 220*u = 15*t + 131, -4*u - 79 = 18*t - 11*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(2\/((-2)\/(-1)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2526, 5, -3, 2, -5, -2 in ascending order.\nAnswer: -5, -3, -2, 2, 5, 2526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, x: 7, m: 3}. Give prob of sequence mbx.\nAnswer: 21\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + h**2 - 2*h + 12. What is o(-5)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 12 = 2*s - 4*w - w, 888 = -109*s - w - 3*w for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5399 + -4?\nAnswer: 5395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3217130120.\nAnswer: 2, 5, 80428253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4951*t + 1925931. Calculate r(389).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-4)*-2*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5490085 nanograms to tonnes.\nAnswer: 0.0000000000000005490085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 6*h + 14 - 0, -27*k = 3*k - 5*h - 115 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -16, -1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11068000 = -49*z + 9*z. What is z rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28239 by -9413.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12660*n**3*x**4 + 84*n**3 + x**6 + 74*x**2 wrt x?\nAnswer: -303840*n**3*x + 120*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48 + 12708786933.\nAnswer: 12708786885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2322 - -1?\nAnswer: -2321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -38. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 292546320?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211001 - -20?\nAnswer: 1211021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 232 is divided by (-3 - 1)*((-147)\/(-84) + -15)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -3*p - 30. Give r(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -36.1 (b) -7 (c) 0.2 (d) -0.3 (e) -61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 8600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100136938 is divided by 115?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 190440*h*k**6*y - 14*h*k**2*y**3 - 6*h*k**2*y + 3*h*y**2 - 3*k**4*y**3 - 3*k**2*y**2 - k*y**2 + 19*y wrt k.\nAnswer: 22852800*h*k**3*y - 72*k*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2. Let f(k) = -5*k. Suppose 4*i + 5*g + 20 = 2*g, -4*g = 16. Let p(d) = 11*d. Let c(j) = i*p(j) - 5*f(j). Determine n(c(x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 4635.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116029*u + 47315*u + 83529*u + 21242*u.\nAnswer: 268115*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 864\/(-270) - (-2 + -1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 17 - (-211 + -47 + (72 - -35)).\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + -0.2. Let j be (30\/20)\/(1\/2). Suppose -2*o - 5 = j*z, -2*z = 16*o - 21*o - 22. Which is the nearest to 0.5? (a) -0.4 (b) p (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11936 - -11937. Solve -n + 43 = -6*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -695*q**2 + 8765*q + 3510.\nAnswer: -5*(q - 13)*(139*q + 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 1)\/9*(-42)\/(-2). Solve 0 = 2*x - 5*s - 26 - z, -x = -4*s - 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1144014 (base 8) to base 16\nAnswer: 4c80c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536357073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -481 - -484. Solve -2 = r - k, 5*r = -y + 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29039282813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 16*d - 5. Calculate the remainder when 216 is divided by s(6).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 193 and 24169583.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 1089252.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l - 2. Let d be n(9). Solve 4*f = d + 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(36)*-1)**2.\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43084 - 7474 - 9299 + 3798 = 919*v for v.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 124333 (base 5) in base 15?\nAnswer: 1713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1283962777 and 181?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3201121 + 5781957. Let f be ((-131)\/(-3) + 0)*205668. Let p = f - q. What is p rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.195 and -363.48?\nAnswer: 2978.7186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b**(-2\/35))*b)\/b**9 assuming b is positive.\nAnswer: b**(-243\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/20685 and -11\/8274.\nAnswer: 41370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1014550, 2029376, 3044188, 4058980, 5073746?\nAnswer: 6088480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 1838820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzynzdnvzvdy. Give prob of picking 1 n, 1 l, and 1 y.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 4:34 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 22 - 38. Let y(l) = l**2 - 18*l + 36. Let z be y(d). Solve 0*u + u = z for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 5:09 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9100 + -0.017.\nAnswer: -9100.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9390638 a multiple of 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zuzz when four letters picked without replacement from zuzzzzzzzuzzzuuuuz?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 1:49 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 0*l**3 - 3 + 4*l - 4*l**2 - 1. What is the units digit of o(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z + 5*z + z - 2558104*z**3.\nAnswer: -2558104*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9686 is divided by 45.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 1)*(-4 + 3 - 1) - 5 + 1 + 0)*(-2*t + t + 3*t)*(-4 - 2 + 4)*(-6 + 2 + 2).\nAnswer: -64*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 216, 193, 132, 15, -176?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + 840\/55)*(-2)\/(-8). Which is smaller: 3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(12\/98) - (-3404)\/(-5106)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 48590736, 194362949, 437316638, 777451803, 1214768444, 1749266561, 2380946154?\n\"Answer: 48590738*h**2 - h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -118604 or -118612?\nAnswer: -118604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*k**4 + 24*k**6 + 39*k**4 + k + 5*k**2 - 3*k**2 + 29*k**6 - 4*k wrt k?\nAnswer: 6360*k**3 + 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 25\/(-10)*12\/(-10). Suppose -u = f*k - 152 + 40, -2*k - 5*u + 79 = 0. List the prime factors of k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 1. Let r(o) = 5*o - 10. Let l(a) = 3*d(a) + r(a). Let m be l(10). Suppose -m = -4*z + 3. Solve -3*p - 3*y = -z*y - 6, -3*y = -3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 10:54 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -407, -813, -1217, -1619?\nAnswer: -2019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 0) + (-71 - (56 - 11 - 22)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12671, -25252, -37833?\nAnswer: -50414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3 + 34047*y - 9 - 3 - 7*y**2.\nAnswer: -7*y**2 + 34047*y - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -8e1a75d?\nAnswer: -8e1a75c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*k**3 + 40*k**2 - 40*k**2 + (5*k - k - 2*k)*(-k - 4*k + 3*k)*(-k + 6*k - 4*k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-70 + 21 - -50)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + g + 5*g)*(-2*g**2 + 0*g**2 - g**2) - 23*g**3 + 8*g**3 - 18*g**3 + g**3 + 5*g**3 - 3*g**3.\nAnswer: -36*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5589 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = 6*t. Let q be -3*((-236)\/12 + t). Suppose -450 - q = -8*l. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 10*m - 13*m - 11, -5*m = -2*k - 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1126 + 4131. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 12. Suppose 2*s - n*s = 0. Suppose -3*v + 0*v + 30 = s. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7532608*a**3 + 1236*a**2 + 6*a - 14?\nAnswer: 45195648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2575 and 2875.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85846, -85849, -85852, -85855?\nAnswer: -85858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n + 531 + 673 = 0. Calculate the common denominator of n\/(-12)*4*12\/16 and -79\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6008979 is divided by 43?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from {z: 2, s: 1, v: 3, f: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - o - 775 = -4*t, 2*o + 310 = 2*t. Suppose -t = -5*l + 5*b, 43 + 47 = 2*l + 5*b. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + (2 - 12\/(-3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(2 - -8)*6\/(-15). Which is smaller: -3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*c - 19*c**2 + 3*c + 11*c**2 + 20*c**4 + 7*c**2 wrt c?\nAnswer: 480*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2504164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2506*h**2 - 369*h - 1956*h**2 - 1192*h**2.\nAnswer: -5654*h**2 - 369*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 8*t - 33*t + 0*t in the form h + a*t and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.2, -0.2, -0.17104.\nAnswer: -0.2, -0.17104, 8.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qqqmqqryrmrmqqmqmr?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28162193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**2 - 2*r - 8. Let m(d) = d**2. Let z(h) = j(h) - 2*m(h). Let q be z(-6). Suppose 4*l - 200 = -q. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 + (27 - (-8 + 5)) + -7.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 613313.5kg in nanograms?\nAnswer: 613313500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(108)*-5)**2.\nAnswer: 8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11399\/40 - 285. Let j = 179\/5560 + n. Suppose -2*t = 8, 2*t + 0 = -5*z - 8. Is z equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1)*g)**(-24)\/(g**(-3)*g\/(g\/(g*g**(1\/4)))) assuming g is positive.\nAnswer: g**(-89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 + 5*b**3 - 4*b**3 - 30 + 31 + b. Suppose -7 = 3*j - h, 4*j + 2*h = 1 + 3. Let r be (-2)\/(-4)*(j - -5). Give c(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.015\nAnswer: -0.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -14 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**6*k)*k)\/(k**7*k))\/(k**(1\/7)*k**(2\/13)) assuming k is positive.\nAnswer: k**(-1301\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -364 * -4\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - x + 2, 229*q + 8 = 240*q + x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-10) + 184527\/35. Suppose 4*j = 11864 + i. Suppose -a + 17184 = j. Round a to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t + 81. Suppose 86*y - 120 = t*y. Let i = 31 + y. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/210*-5 - (-38)\/84.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13897952 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -36627157 divided by 5\nAnswer: -36627157\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 3*g**2 + 4*g + 2. Calculate h(4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -2\/21, -4713, 0.3 in decreasing order.\nAnswer: 0.3, 2\/11, -2\/21, -4713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 16*a**2 - a - 1. Let h be 24\/(-20) + (-2)\/(-10). What is the remainder when u(h) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 34124.13 nanograms?\nAnswer: 34.12413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-55)\/22*(-3826)\/10*2?\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 229 and 63516814.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.2 (c) 6 (d) -4 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4736 = -259*s + 3034. What is the greatest common divisor of 1956 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**3 + 12*l**2 + 18*l + 17. Let x(j) = 4*j**3 + 11*j**2 + 19*j + 15. Let a(d) = 2*x(d) - 3*y(d). What is the units digit of a(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -88.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 16*m**2 - 15*m + 40. Let f be t(-17). Suppose 0 = -2*i + f, -4*s + i + 1677 = s. Calculate the highest common divisor of 48 and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 45 = 6*m. Let d(q) = -2*q - 13. Is d(m) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (132924\/(-20))\/(-3) - 18\/(-45). Let z = h - 2208. Which is the third biggest value? (a) 1\/4 (b) -2\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and -8345?\nAnswer: 8345.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6230 = 246*l + 201*l + 1313 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 264486170, 528972343, 793458516, 1057944689, 1322430862, 1586917035?\n\"Answer: 264486173*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2. Let f(w) = -206374*w**2. Give f(t(p)).\nAnswer: -206374*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -2*r + 0 + 2*r**2 - 1\/3*r**3 + 1\/12*r**4. List the prime factors of u(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.179 - -0.17899841. What is v rounded to 7 dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1470682492881 and 0.\nAnswer: 1470682492881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25888181 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25890 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 200877, 0.11, 2, -0.4.\nAnswer: -0.4, 0.11, 2, 200877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -80*q + 21228. Determine r(244).\nAnswer: 1708","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 0*d + 3\/2*d**2 - 19. Let b(y) = -2*y. Let x(a) = -3*a. Let i(j) = -4*b(j) + 3*x(j). Determine i(s(q)).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence babb when four letters picked without replacement from {b: 4, k: 1, a: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 154*g**2 + 9*g - 2. Let p(i) = -155*i**2 - 8*i + 2. Give 8*l(n) + 9*p(n).\nAnswer: -163*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 766 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyysyysysysyyyyyy. Give prob of sequence ssy.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkmkmmk. Give prob of picking 2 k.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -769 - 144987004\nAnswer: -144987773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 3:29 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times -136?\nAnswer: 1496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 r when two letters picked without replacement from obreehbhhhhh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 673892894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 329728059 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, 3\/28, -3, 0.8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 x when four letters picked without replacement from wwxxxxwwxwwx.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by 193.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i*w**4 - 1384*i*w**3 - 80559307*i*w**2 - 40*w**4 - 35*w**3 wrt w.\nAnswer: -24*i*w - 8304*i - 960*w - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.353 * 187.3.\nAnswer: -628.0169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 535*g = 1496*g + 1110*g + 91124 for g.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5582\/7 - 44691\/56. Which is the nearest to -1? (a) 22 (b) 0.1 (c) 5 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80292329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -6836177\/8 greater than -854523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 0 - -11)*1. Suppose -z + 3*z - y = 0. Let f be ((-6)\/(-4))\/((-6)\/(-8)). Solve -f = -4*w + z*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (17964\/15)\/3*30. Let o be (u\/(-18))\/((-2)\/3). Is (o\/4)\/(4\/8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j + 105 - 105 + 2*j**2)*(-1 - 2 - 3) + (-j**2 - 82*j + 82*j)*(-1 + 3 - 3) to r*j**2 + p*j + l and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1077132820.8 + 262063448.2. Let z = o - 1339196165.0000099. Let q = z + -104. Round q to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 281 + -261. Let y be r\/(-4) - (-48)\/10. Which is the smallest value? (a) 5 (b) y (c) -1\/26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - -0.8. Let g = -10 - -17. Suppose 7 + g = 2*m. Is m > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 3 (c) -630\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**6\/10 + 921*k**5\/5 + 94861*k**4 + 751536*k**3 + 2247264*k**2 - 10*k + 140. Factor p(x).\nAnswer: 3*(x + 2)**2*(x + 612)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(720))**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 216786611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -15?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uutt when four letters picked without replacement from {w: 2, m: 3, u: 2, t: 6}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f + 36 = 16*f. Suppose b - 9 = 15. Let c be 1\/(-4) - (-2)\/b. Put f, -3, c in ascending order.\nAnswer: f, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2785974 is divided by 9445?\nAnswer: 9144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 12*f - 9. Let b be r(13). Suppose -71 = -b*y - 11. Calculate the remainder when 26 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 7:52 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2032491*x**4 - 3*x + 12708765?\nAnswer: 8129964*x**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 670 - 429 = -41*n - 620 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12635 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 666444?\nAnswer: 2, 3, 19, 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40100 is divided by 75?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 1. Let l be r(-1). Solve 0 = l*a - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/7*h**2 + 4\/7*h**3 - 24\/7*h + 0 = 0. What is h?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lczc when four letters picked without replacement from leeelllzclcc?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-18)\/4) + 209\/165?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (225 - 68 + 114)*(-2 + 2 - 2*d)*(3*d - 5*d + 3*d).\nAnswer: -542*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 6*d - 26. Let o = 9053 - 9048. Give y(o).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dggd when four letters picked without replacement from {g: 2, d: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 364.965 + -365. Round n to 3 dps.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 k when four letters picked without replacement from zbttkzkzzkbkz?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) -165 (c) -3\/7 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 0.4 (c) 0 (d) -0.07 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 y when three letters picked without replacement from {a: 5, y: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*p - 17*p + 29*p**2 - 15*p - 12*p wrt p.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 - 64. Suppose -x - x + 38 = w. Suppose -9*n = -x + 1. Solve n*z + 12 = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*v + v + 9263, -4*y + 37045 = v. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**6\/120 - l**5\/12 + l**4\/6 + l**2. Let p be a(3). Let j be p\/4*8\/(-6). Solve -30 = -4*s + j*v, -s = 4*s - v - 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 43170990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2775 + -2773. Solve 2*r - 5 = -7*u + 10*u, 10 = l*r + 2*u for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30371403065.9 take away 0.3?\nAnswer: 30371403065.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4336*i*j**3 + 2*i*j**2 - 2*i*j + j**3 - 409*j wrt j?\nAnswer: -26016*i*j + 4*i + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -4)\/(-1 - 0). Let d(g) = -g**2 + g. Let n(k) = -k**2 - k. Let o be 2\/(5\/(15\/(-6))). Calculate i*d(m) + o*n(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**2. Let m(r) be the second derivative of -1425*r**4\/4 - 288*r + 2. Calculate m(i(v)).\nAnswer: -17100*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 263231, 526457, 789683?\n\"Answer: 263226*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {z: 1, u: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.9 and 0.083.\nAnswer: -2.817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from yqyqqyyy.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 485 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 1274*y = -1272*y + 52, 4*y + 4 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 25.11. Let o = h + -2.89. What is the third biggest value in 4, 0.13, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**3 - 4*o**2 - 5*o - 2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 7 = 3. Suppose -5*d = -2*i + 11, 3*i - 3*d + 0 = 3. Which is the nearest to 2\/3? (a) f (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*r - 5*r + 26 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*r + 89, -2*r + r = 4*c + 4. Let l = r + 22. Let a = l + -3. Solve -2*q = -4*f - a + 7, -5*f + 18 = 4*q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 61*h - 220. Calculate n(3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (500\/(-90))\/50 + 218\/18.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 82*g + 10942 = 524*g + 43062 for g.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 16*k**2 - 29*k + 8. Let z be t(14). Let j be (15\/z)\/(10\/(-300)). What is the greatest common factor of j and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-d + 0*d + 2*d) + 762*d + 6430 - 6430 + (0 - 3 + 1)*(-5*d + 3*d + 3*d).\nAnswer: 758*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -u - 5*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5793443 to the nearest 1000.\nAnswer: -5793000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r + 2*w + 2*w - 2, 0 = -4*r + 4*w - 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -450530 - 6?\nAnswer: -450536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**3\/6 - 5*x**2\/2 - 285*x. Suppose 4*l + 5*u + 9 = 0, 0*l = 5*l + 4*u. Calculate i(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3893556.9 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 86388 and 626796.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -353 + 712. Suppose -3*p + y = 2*c - 0*c, 3*p = 5*c - 929. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (201\/8911)\/((-11)\/(-308))?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 18*y**2 + 6. Let l be b(-18). Solve a + a = -l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.64019815 to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + i = -4, 2*w - 5*i - 5 - 18 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8310668*a + 2*a**3 + 8310668*a.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2926442?\nAnswer: 2, 1463221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8776 and 579216?\nAnswer: 579216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + -2)\/(1\/6). Let i = 10 + -4. What is the third derivative of -i + h + a**2 - a**4 wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1116685354 and 58631.\nAnswer: 1116743985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -110 + 115. Let n = -32 + b. Are -1 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 188*k**2 + 5*k + 944. Determine m(-188).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 2:23 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56582, 56643, 56740, 56873, 57042, 57247, 57488?\nAnswer: 57765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 l, 1 t, and 1 v when four letters picked without replacement from {w: 1, o: 3, t: 4, l: 1, x: 2, v: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.04 - 0.01. Let p = -0.03 + y. Which is the nearest to 2\/7? (a) -2\/3 (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 32c9?\nAnswer: 32ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((3*(sqrt(243) + -1) + sqrt(243) - sqrt(243)) + 4)*-5)**2.\nAnswer: 1890*sqrt(3) + 54724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((2*sqrt(152) - sqrt(152))*2 + -2*sqrt(152)*-1))\/(5*-1*sqrt(800)*-6).\nAnswer: -4*sqrt(19)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*(1*sqrt(121) + sqrt(121)) - sqrt(121))\/(sqrt(1100)\/sqrt(4)))**2.\nAnswer: 44\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -538*c - 38 = -2*h - 540*c, 77 = -4*h + 5*c for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 25397728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + d - d + (-1 - 4 + 3)*(2 - 2 + 3*d) + 1010 - 1010 + 20*d)*(0*d + 0*d - 2*d).\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 7*k - 156 = 2*k, 4*h - 156 = -3*k. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1723.042 + -3.958. Let r = -2517 - y. Let v = 790.393 + r. Round v to two decimal places.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 29*l**5\/10 - 7*l**3\/6 + 100*l + 26. Let q(z) be the first derivative of b(z). What is the second derivative of q(g) wrt g?\nAnswer: 348*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -40. Let u = b - -11. Is -0.4 less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/28*7\/(-12). Let z be 4\/10 - 4\/10. Suppose 3*w = -5*l - 28, -4*w - l + z*l - 9 = 0. Which is the closest to w? (a) 4 (b) i (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3190 is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -677928\/19 - -8733313\/228. Let h = 2622 - b. Let r = -6909\/430 + 162\/43. What is the common denominator of h and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 7. Let o be z(-5). Let v = 2233 - 2245. Sort o, v, -0.4, -1\/7.\nAnswer: v, -0.4, -1\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -6*m - 8*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + x + 1. Let w be h(-2). Let n be ((-2)\/4)\/(1\/6). Let f = n + w. What is the highest common factor of f and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 7:15 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + s = 50, -38 = -2*a + 4*s + 2. Is (-6)\/(-4)*23440\/a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.59022cm in micrometers?\nAnswer: 45902.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17144, -16981, -16806, -16613, -16396, -16149, -15866?\n\"Answer: v**3 + 156*v - 17301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 207*k - 1783. Calculate d(8).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**3 + 2*t - 1. Let l be f(1). Suppose l*v + 0*v = 129. Does 22 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -0*m + 20. Let d = 8 + -11. What is the smallest value in d, m, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -672465, -672470, -672475, -672480, -672485, -672490?\nAnswer: -672495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, j: 2, e: 2}. What is prob of picking 2 j?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*f = 0. Suppose -2*m - 2*d + 42 = f, -5*d - 120 = -m - 3*m. Is 25 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6355 and 2050?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 130*l + 1727. Let u be t(15). Solve -j + 38 = 40, 0 = -c - u*j - 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7200002\/8 - 3\/12. Suppose -n = n - m. What is n rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*j - 125. Suppose -2*l = -4*x - 6*l + j, 0 = 2*x - 2*l - 26. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 65 = 5*x, -25 = 3*x - 8*x. Suppose 3*q - 33 = f. What is the greatest common factor of q and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 356*6\/24 + 36\/(-312)*-26. Let f(d) = -14*d**3 - 2*d - 1. Let x be f(-2). Calculate the highest common factor of l and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001208848994 rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -5) + 16 + -19?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9874169453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192904704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -12*k. Let o(f) = -3*f. Let m(b) = -21*o(b) + 5*w(b). Let n(t) be the third derivative of t**5\/60 - 5*t**2. Calculate n(m(a)).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/6 - 2\/6. Suppose s - u - 3*u = 0, -3*s + 2*u = -10. Suppose -f - s*z + 36 = 0, -5*f = p*z - 147 + 27. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(0 - -17))\/((-71)\/(-4544)*-64).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.5 + -3. Let j = -0.057 - -0.257. Let f = -0.1 + 0.2. Sort f, j, p in descending order.\nAnswer: p, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 2\/9, 3, 0, -44?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.63, 4, 0.3, 5, 0?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 3*l + 4*k = 32, 3*l - 2*k = 2. Suppose -625 = 5*a + l*v, a + 3*v = -v - 141. Let f = 370\/3 + a. What is the common denominator of f and 59\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1. Solve 3*z = 4 - p for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 + 69. Suppose -j = -5*z - 25, 3*j - v*z - 46 = -1. Solve 0 = 4*k + 2 + j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 142*g**2 - 230 + 76 + 76 + 78 in the form w*g**2 + z + t*g and give w.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 + 4 - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**2 + 8*m + 15. Let o(a) = -11*a**2 - 16*a - 30. Let w(z) = 7*b(z) + 3*o(z). Suppose 9*l + 3*l + 72 = 0. What is the units digit of w(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-30)\/(u\/u**(-29)*u))\/(u\/u**(2\/15)*u**(-25\/6)\/u) assuming u is positive.\nAnswer: u**(-567\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 3 - 11)*(6*y + 2 + 0 - y) in the form a*y + b and give a.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*w, -5*y + 2*w + 22 = 8. Let d(q) = 1 + 4*q + 28*q - 7. What is the tens digit of d(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 5:41 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20926.\nAnswer: 2, 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/614454 and 113\/6.\nAnswer: 614454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 16*k**2 - 5*k - 16. Let h(a) = -3*a**2 + a + 3. Suppose 0 = g - 19 + 23. Give g*s(l) - 22*h(l).\nAnswer: 2*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-291 - 965 - 742)*(1 + 0*w + 0 - 2*w).\nAnswer: 3996*w - 1998","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 1) + 1 + -1. Let o(n) = n**2 + 5*n + 11. Let r be o(c). Solve 4*j + r = 31 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 264 and 29634?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsgbsbggggggsgg. What is prob of picking 1 s and 2 g?\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -6, 2, -4 in descending order.\nAnswer: 2, -1\/4, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092778 < 1092778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -75. Let b = -129.312077 + 65.312026. Let q = b + t. Round q to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139870829 is divided by 230.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000107277 to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8cc8 (base 15) to base 4\nAnswer: -13103000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - (2 + 1 + -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -16.27 and -4799905.\nAnswer: -4799921.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l + 4 = 23*l. Is 26 a factor of -1 + 5\/l + 2075\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2001 and 87?\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, s: 11}. What is prob of picking 3 s?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwwxgggggg. What is prob of picking 3 g and 1 w?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 9*d - 9. Let b be m(-7). Let o(w) = -w**3 - 5*w**2. Let c be o(-5). Let p = b - c. Solve 3*f + 8 = -k + p*k, -2*f + 3*k = 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-9) + (-29)\/(-9). Let q(l) = l**3 + 9*l**2 + 11*l + 9. Let o be q(-7). Let r be (2\/6)\/(2\/o). Sort r, i, -5 in decreasing order.\nAnswer: r, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -407 + 1050. Let a = l + -638. Let n = 4 - 6. Put -0.3, 2, a, n in descending order.\nAnswer: a, 2, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -860.604 and 1.\nAnswer: -860.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 6. What is o(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -81 + 75. Let n be 12\/8*(-3832)\/y. Suppose 0 = 8*v - n + 246. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**3 + 32*b**3 - 5*b**3)*(-3*b**2 + 2*b**2 - b**2).\nAnswer: -44*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + (-72)\/44)\/(-2). Sort 0.2, 1\/6, x in increasing order.\nAnswer: x, 1\/6, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8595 is divided by 456.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -30.218, -1\/7, 0.05 in descending order.\nAnswer: 0.05, -1\/7, -5, -30.218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxxxhhxxhhhx. What is prob of picking 3 h?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine thirds of a decade?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34765, 34722, 34691, 34678, 34689, 34730?\nAnswer: 34807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -221 divided by -1.\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 2 + h**3 - 6 - 2*h**2.\nAnswer: h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -171396259480.9?\nAnswer: 171396259480.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 738576 and 82064?\nAnswer: 738576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 234679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = 3*o - d, -5*d = -2*o + 24. Suppose 44*k - 88 - 90 - 42 = 0. Solve 6*r - a - 2 = o*r, -2*r = -k*a + 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3275 + -2267. Let x = -1007.999999439 + g. Round x to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7)\/(-2)*4\/7. Factor -2 + 4 - 4*d - 4 - 2*d**g.\nAnswer: -2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0743575 + 575972.0743575. Let z = -576019.2546 + n. Let d = z - -47.3. What is d rounded to three decimal places?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4865915 is divided by 5561.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180292 is divided by 597.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 95 - 42365?\nAnswer: -422a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 165*y - 66*y as n*y + j and give n.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 44 = 4*o, 2*v + 3*o - 48 = 5*v. Let d = v - -16. Suppose d*q + r - 150 = 3*q, 460 = 3*q + 5*r. What is q rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 108 = -4*q. Suppose -5*c = -c - 8, 131 = 5*m + 3*c. Let z = m - 11. What is the remainder when q is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/16 and -111\/44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -n + p + 13, 23 = 3*n - 2*p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 + -43. Is 22 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24 + 18c208?\nAnswer: 18c22c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(16\/(-9*(-1)\/36*-40)).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1257216 is divided by 628601.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 7635 in increasing order.\nAnswer: -5, 0, 7635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, j: 6, f: 2, c: 4, i: 3, s: 1}. Give prob of picking 1 f, 1 c, and 1 j.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by -11867\nAnswer: 29\/11867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1818\/23 + -27455\/368. Find the common denominator of -37\/70 and g.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 759488*a**3 + 759479*a**3 + 5 - 3.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -576 by 6.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -7. Let t(k) = 2*k + 9. Let u be t(f). Let v(l) = -4*l + l + u*l. Let w(r) = -3*r. Give v(w(j)).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4 + 33*q**3 - 99*q**2 + 15*q + 150.\nAnswer: -3*(q - 5)**2*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**3 + v**2 + 6*v. Calculate d(-4).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -92, 3, 218 in decreasing order.\nAnswer: 218, 3, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1589 - 596\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 1:55 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -219687633 divided by -361.\nAnswer: 608553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (6*(sqrt(1584) + -1 + sqrt(1584) + -4) - (-1 + sqrt(11) + sqrt(11) + -1 + 1 + 0)))**2.\nAnswer: -7952*sqrt(11) + 222588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 - -35. Let r = f + 32. Which is the fourth biggest value? (a) -0.5 (b) r (c) -1\/5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = a - 0*a - 83, -2*a + m + 166 = 0. Let y = -53 + a. What is the highest common divisor of y and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3899324*j**3 - 947227*j?\nAnswer: 23395944*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*m**3 + 32*m**3 - 425*m**4 + 3*m**3 + (-6*m**2 + 0*m**2 + 4*m**2)*(-m**2 + 3*m**2 - 3*m**2).\nAnswer: -423*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 8 = -2*n. Suppose 3*w + 2*l - 7 = 2*w, w - n*l = -5. Factor 2*v**3 + 0*v**2 + 5*v**2 - w*v**2.\nAnswer: 2*v**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g - 7*g)*(0*g**4 + g**4 - 3*g**4) - 4*g**5 + g**3 - g**3.\nAnswer: 12*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 6*j**2 + 19*j - 6. Let u be l(8). Find the common denominator of 519\/(-70) + 4\/(-14) and 20\/9*(21 - u) + -2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 + 50. Let n = 43 - h. Is 24\/n - (-440)\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.04+1.98\nAnswer: 0.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 273237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**3*v*v**7*v*(v\/v**(-1))**(-33)*((v\/v**(1\/7))\/v*v**(-4\/3))**(-6\/19) assuming v is positive.\nAnswer: v**(-7120\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*i - 9 - 28, -5*w + 4*i + 161 = 0. Calculate the lowest common multiple of 72 and w.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2792, -3912, -5342, -7238, -9756?\nAnswer: -13052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of 3*g**4\/4 - 2*g. Let n(l) = 12 - 2*l**2 - 12. Give n(p(c)).\nAnswer: -162*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61027878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 13935?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2542 (base 10) in base 3?\nAnswer: -10111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 5:32 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/285 - -188\/285. Let u be (4 - -27)\/((-1)\/(-2)). Let w be ((2 - 1) + 3)\/u. Sort 1, w, r in descending order.\nAnswer: 1, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4488045?\nAnswer: 3, 5, 433, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(70)\/(sqrt(100)\/sqrt(10)*-3) + -4.\nAnswer: -4 + 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*a - 104*a - 2 - 99*a - 107*a - 43*a + 442*a.\nAnswer: -14*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 v when two letters picked without replacement from rkwvvvvvotttvwrrtkvv.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*w**2 + 502*w**2 - 538*w**2 + 348 in the form a + j*w + p*w**2 and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64922 + -43911. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*j + 18*j + 19*j)*(6*j - 2*j - 3*j)*(30*j**2 + 6*j - 35*j**2 - 3*j).\nAnswer: -50*j**4 + 30*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(975) + sqrt(975) + sqrt(975)*-1)*6*-6)\/((sqrt(21) + 3*sqrt(21)*1)\/(sqrt(21)\/sqrt(3)*1)))**2.\nAnswer: 26325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 9444489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 3*v - 3, 3*v + 19 = -6*w + 7*w. Suppose y + 2*y + w*h - 26 = 0, -2*y = -h - 10. What is the highest common divisor of y and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -574, -1147, -1720, -2293, -2866, -3439?\nAnswer: -4012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 28*v**2 + 35*v + 24. Is 12 a factor of d(27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*n**4 + 630*n**3 + 15888*n**2 + n + 2.\nAnswer: -96*n + 3780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 - 21*v**2 + 35*v + 562. What is q(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000164366883 to 7 dps.\nAnswer: 0.0001644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2579222 and -0.3.\nAnswer: 2579221.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 271 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 2*v + 0*v)*(4104 - 190 + 7497 - 1799).\nAnswer: -9612*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -8*y**5\/5 + 5*y**4 - 8*y**3\/3 + 9. Solve h(g) = 0.\nAnswer: 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.4 + -4.5. Let o = 0.7 + k. Suppose -5*g + 41 = 4*a, 2*a = 2*g - 4 + 2. What is the smallest value in a, 1\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8119031.\nAnswer: 137, 59263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -139.370613 - -219.370734. Let o = -245 + 165. Let k = b + o. What is k rounded to five dps?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 1. Let l be y(-1). Let b(j) = -7 + 0*j + 12 + 9*j**2 - 3*j + 2*j**l - 2*j**3. Let n be b(5). Solve -s = 2*s + n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 67?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106 + -99. Is a equal to 87\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 5*b - 3. Let j be i(-6). What is the derivative of -t + t - 8*t**3 + 2 + 13*t**j wrt t?\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 220 or 8180?\nAnswer: 8180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -2. Suppose 0 = r*t - 0*t - 44. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 + 6 + -3 - (-106 - -103)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (29 - 7*15\/21)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3123 - 5140?\nAnswer: -2013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109029 (base 10) to base 5.\nAnswer: 11442104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 73*o**2 + o + 78*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36.2 - 99.2. Which is the closest to 0.2? (a) -5 (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1364 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - (-462)\/119 - 10\/(-374). Which is the smallest value? (a) -4\/5 (b) 1\/26 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, 39\/11, 3 in decreasing order.\nAnswer: 39\/11, 3, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1168, -2334, -3502, -4672?\n\"Answer: -f**2 - 1163*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/4 + 23839*s - 95355\/4.\nAnswer: -(s - 95355)*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 + -32 - ((-2 - 3) + -3 - -2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, r: 3, u: 3, s: 6}. Give prob of sequence ppp.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -10*c + 589. Calculate the remainder when y(35) is divided by 42.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4135015 weeks to microseconds.\nAnswer: 250085707200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -5*u**4 + 10330*u**3 + 99735*u**2 - 13190600*u - 13280000 = 0.\nAnswer: -40, -1, 32, 2075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 147388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33301330222 - -10?\nAnswer: 33301330232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11144, 49810, 114262, 204506, 320548?\n\"Answer: p**3 + 12887*p**2 - 2*p - 1742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186691, 187883, 189075, 190267, 191459, 192651?\nAnswer: 193843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 25b - -3c6?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -1) + -2 - (6 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4931*f*y**5 - 112*f*y - 5*y**2 wrt y.\nAnswer: -295860*f*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 4.6 (b) 24 (c) -75.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h + 26 = -i, -h - 95 = 4*i. Let n = i + 56. Suppose -j + n = 23. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**5 + 0*j**5 + 0*j**5)*(2 + 1 - 2) - 6*j**3 + 6*j**3 + 4*j**5 + (11*j**3 - 2*j**3 - 2*j**3)*(j**2 - 2*j**2 - j**2).\nAnswer: -13*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -e8 (base 16) in base 15?\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ghrhrrgyynggrgrrk. Give prob of picking 2 r and 1 y.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232921?\nAnswer: 13, 19, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -7*c**2. Let l(f) = 2*f**2 + 3*f + 3. Let j be 5\/1 - 1 - -1. Let a(q) = -3*q**2 - 5*q - 5. Let o(b) = j*l(b) + 3*a(b). Give v(o(h)).\nAnswer: -7*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 317 and -6094.\nAnswer: -1931798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 4:04 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 4. Let i be s(3). Let l(w) = i - 6*w - w**2 + 0 - 2. Give l(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 - -45. Let z be (v\/10)\/(4\/(-8)). Is (z + 4 - 2) + 160 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 249*j**2 + 7 + 27*j**2 - 8 to p*j**2 + i*j + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18.2138 or -2\/13?\nAnswer: -18.2138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -43\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10, -1, -18, -41, -70, -105, -146?\n\"Answer: -3*r**2 - 2*r + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbubmtm. Give prob of sequence bu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + o - 11. Let p be q(0). Let n be 0 + -4 - (15 + 4). Let g = p - n. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2322)\/180)\/(-43)*(-4 + (-7 - -19)). Factor 16\/5*r**2 - m*r + 0 - 4\/5*r**3.\nAnswer: -4*r*(r - 3)*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-45) + 2884\/18. Let g = i + -83. What is the highest common divisor of g and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3246 + -3207. What is the smallest common multiple of r and 429?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(68) + 1 + -1*sqrt(68) + sqrt(68) + -2 + -2*sqrt(68) - ((sqrt(68) + -1)*-3 + sqrt(68) + 4)*-1)**2.\nAnswer: -12*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**2\/2 - 1026*g - 43440 = 0 for g.\nAnswer: -40, 724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**3 - 5877*j**2 - 125825*j wrt j?\nAnswer: -18*j - 11754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - 5*p + 0*p + 2*p. Let n = -2412 - -2408. Let v(x) be the first derivative of x**3\/3 - 2*x**2 - 6. Give n*k(r) + 3*v(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (48 - (-17 + 15 + 15))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 1331*i**8\/336 + 242*i**7\/15 + 66*i**6\/5 + 68*i**5\/15 + 2*i**4\/3 - 29*i**2. Factor g(w).\nAnswer: w*(w + 2)*(11*w + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y**2 + 7*y. Let p = 5 - 10. Let c be b(p). Suppose -11*h + 13*h = -3*t + 7, 2*t - 4*h - 26 = 0. Calculate the greatest common divisor of t and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 12:40 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**3 + 947*m**2 + 20*m - 205 wrt m.\nAnswer: 6*m + 1894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 8*y = 64, 43*s = 39*s + 5*y - 40 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 5. Let d be p(-6). Let y = 1810 + -1815. What is the closest to y in d, 0.3, -2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 5*s + 5*s - 4*s + s + (1 - 4 + 1)*(s + 0*s - 2*s) - s - 3 + 3 + (0*s - s + 2*s)*(2 + 3 - 3).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31\/30 or -15\/7?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, -150\/11, -69, -5 in descending order.\nAnswer: 46, -5, -150\/11, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) -0.5 (c) -2\/11 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 332783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -392705.\nAnswer: 1\/392705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361650 is divided by 517.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01383 plus 4904462?\nAnswer: 4904462.01383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60947 by 4.\nAnswer: -60947\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/3)\/d*d**(-6))\/((d*d**(-10)*d*d)\/d*d\/(d*(d*d**6)\/d)))**(-5) assuming d is positive.\nAnswer: d**(-130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 2*g + 4. Let w = 126 - 130. What is q(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.111\nAnswer: 0.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43237517?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -r + 3, 15 = 4*r + 5*s - 6. Find the second derivative of 0*y**5 - 5*y**4 - 2*y + 5*y**r + y**5 wrt y.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v = 3*v - 10*v - 133 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (6 - -3 - 2)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -91698 and 87.\nAnswer: -7977726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 151439\/7 >= 21633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6d7 + 0?\nAnswer: 6d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4))\/((-7)\/(-882)). Let m = d + -1066\/17. Is m > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 4 + 31. Solve 2*y = 2*h, -3 = 3*h - c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 13, o: 1, t: 3}. What is prob of sequence st?\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 239 = -0*r + 4*u, 4*r - 4*u = 184. Suppose -3*p - i + 68 = -6, -2*p + r = 3*i. Calculate the highest common factor of p and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 4:51 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (-1580)\/(-140) - 860\/(-28)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 475 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/249 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/15))**(7\/2) assuming d is positive.\nAnswer: d**(-7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -1 - ((-5 - -1 - 4) + 61 + -6)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/3285 and 52\/365?\nAnswer: 3285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 11:58 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 - 3*j + 1. Let n(t) = -t**2 + 3*t - 1. Let i = -5456 - -5453. Determine i*n(q) - 2*y(q).\nAnswer: -q**2 - 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 at least 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-531)\/171 + 4\/38.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -174987.5696 rounded to the nearest ten?\nAnswer: -174990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -209\/26 - 6\/13. Calculate the common denominator of m and -49\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -57*d**2 - 60?\nAnswer: -114*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 - -73. Suppose 0 = -2*h + 7 - m. Solve 3*r = -3*a - 3, 0 - h = 3*r + 4*a for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -214, -612, -1196, -1960?\nAnswer: -2898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -987859, -1975702, -2963531, -3951340, -4939123, -5926874, -6914587?\nAnswer: -7902256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*o + 275*o**2 - 829*o**2 + 278*o**2 + 277*o**2.\nAnswer: o**2 + 29*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1300313100 (base 4) to base 9.\nAnswer: -774123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 h when three letters picked without replacement from {u: 2, h: 1, y: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 23*q**2 + 25*q**2 - 13*q**2. Let j(d) = -39962857*d - 4*d**2 + 39962857*d. Determine j(y(v)).\nAnswer: -4900*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 164 = 34*m, 0 = 8*m + 2*y + 11 - 63 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 13*n - 9936 = -3*n. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 2709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2856\/65 - 222\/5. Suppose -6*m = -8*m + 38. Let s = 19 - m. Do a and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6704, -5807, -3462, 1027, 8356, 19221, 34318, 54343?\nAnswer: 79992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(4\/(-4))*(-30)\/9. Let b = 2 + s. Let j(d) = -d**2 - 9*d - 5. What is the units digit of j(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8\/(-10) + (-4 - (-64881)\/45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and 874.8448.\nAnswer: -8.748448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 38117497441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -1307, -4, -25, -5, 3\/5, -0.214?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000462 rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/572160 and -61\/19668.\nAnswer: 6293760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 887*y - 4. Let d(u) = 70963*u - 319. Give -4*d(n) + 319*o(n).\nAnswer: -899*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**2 + 6080*s + 30500 = 0. What is s?\nAnswer: -5, 1525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqq. What is prob of picking 2 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 32*i = 37*i + 5, -2*y + 14 = 4*i. What is d in 0*d + 3\/8*d**y - 3\/8*d**2 + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34512143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 5*k**2 + 5*k - 3. Let o be z(4). Suppose g - o = 1. Let p(t) = 2*t + 1 - 1 + g. Give p(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 + -39. Suppose 0 = 2*a - n + 12. Let b = 6 - a. Which is smaller: b or 3\/34?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5864*u**2 - u + 85. Let d(k) = 23442*k**2 + 7*k - 339. Let c(h) = 4*d(h) + 17*p(h). Find the second derivative of c(w) wrt w.\nAnswer: -11840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 7:28 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0078588134 to 4 decimal places.\nAnswer: 0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 13. Suppose 0 = 4*i + 5*o - 18 - h, -4 = -5*i + 2*o. Suppose -4*w - 33 = -d - 9*w, -w - 27 = -4*d. Solve -i*b = 2*b + d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (0 + 2) - (-3 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + (-85)\/8*6\/(-15). Which is the fourth biggest value? (a) l (b) 100 (c) 3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -35?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(120)\/(sqrt(18) + sqrt(2)) + -2*sqrt(240) + sqrt(60))\/(sqrt(972) - 3*(sqrt(972) - (sqrt(972) - sqrt(972)*-3))).\nAnswer: 11*sqrt(5)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + -1 + -3 + sqrt(637) + 0 + -5)**2.\nAnswer: -252*sqrt(13) + 2629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -266 and -256 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 15 = 126*y - 123*y, 4*i - 20 = 5*y. What is c in 1\/2*c**3 + y + 3\/2*c**4 - 2\/3*c - 4\/3*c**2 = 0?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 - 17 - -5) + -47?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 218\/11 - 20. Let k(d) = 1644*d - 8207. Let g be k(5). Let p = -0.1 + 0.2. Put o, p, g in increasing order.\nAnswer: o, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 15, -3, 2, -1 in ascending order.\nAnswer: -3, -1, 2, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123989993.\nAnswer: 17, 29, 251501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 242.5479ns?\nAnswer: 0.000000004042465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-978 - -18)*(-39395)\/4. Round d to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.3 and -0.0563?\nAnswer: 0.46729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -313*r. Let i(z) = 2*z**2. Give i(b(s)).\nAnswer: 195938*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5846 - -35215\/6. What is the common denominator of u and 1*2\/(-18)*-8?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-18))\/(4\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 0*g**6 + 0 + 0*g**7 + 12*g + 11\/12*g**4 + 1\/14*g**8 + 0*g**5 + 0*g**3 + 0*g**2. What is the third derivative of d(a) wrt a?\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 899.635 - 901. Let k = u + -0.635. Which is the closest to -2\/9? (a) -0.5 (b) k (c) -0.4 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-62)\/33 - -2)*3. Suppose 0 = 15*i - 37*i - 3*i. Suppose -25*z + 44*z - 19 = i. Are z and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -11525226.\nAnswer: 2305045.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 97a52?\nAnswer: -97a54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 288990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.150479 - -5.15. Round q to 5 decimal places.\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = z - 52, 0 = 4*z - a - 116 - 134. Suppose 4*r + i = -0*i + 63, -2*i + z = 4*r. Solve -5*f + 2*j = r, f = 3*j - 1 + 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -960, -3840, -8642, -15366?\n\"Answer: -961*v**2 + 3*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/h**(-15)*h*h))\/h)\/((h**1*h)\/h))\/(h*h**(3\/10)\/h*h*((h\/h**18)\/h)\/h*h) assuming h is positive.\nAnswer: h**(-23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 3*t - 2. Let a be u(-2). Let p = a - 6. What are the prime factors of 8\/(-20) + (-114)\/p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 15837129 = 27*x - 12*x, -3*y = -x + 1055791. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*r**5 - r**4 - 884*r**2 - 7*r + 882*r**2 + r**4 - 33 - 2 wrt r?\nAnswer: 440*r**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2f (base 16) to base 14.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a**2 - 7*a + 2. Let i(d) = -3*d**2 + 3*d - d + d - 1. Let m(l) = -7*i(l) - 3*w(l). Find the first derivative of m(g) wrt g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 11*n = 7*n + 144, 4*y - 143 = -5*n. Solve -y*f = -32*f - 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 23 (b) -82 (c) 2 (d) -0.1 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3974*f**2 - 3636*f**2 - 4*f + 2*f + 3*f as g*f**2 + n + r*f and give g.\nAnswer: 338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 2*q - 4. Let b be w(4). Solve -2*n = -4*n - b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4877780 is divided by 211.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 4:46 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4 = -4*r, 14 = 5*i - 3*r. Suppose -2*l - 2*l = 0. Let o(q) = 4 - 3*q + 4*q**2 + l + q**2 - 4*q - q**3. What is o(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644793 rounded to the nearest 1000?\nAnswer: 1645000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9579*a**3*m + 804*a**3 + 2*a**2*m + 237*a**2 - 3*a*m - m wrt m?\nAnswer: 9579*a**3 + 2*a**2 - 3*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000213111518 rounded to seven decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118400, 118475, 118550, 118625?\nAnswer: 118700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 159879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(2) + -1 - sqrt(2))*-1 - 6*(sqrt(2) + (sqrt(6)\/sqrt(3))**2))*-4.\nAnswer: 48*sqrt(2) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -5*d + 22. Suppose -5*j + 6 = -d. What is the least common multiple of j and 950\/6 + (-7)\/21?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 4*s + 4. Let n be u(-3). Is (256 - 2)\/(1 + n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 851.5377kg to micrograms.\nAnswer: 851537700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (31 - 114) - (-5 + 3 + 9)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4336 + 16?\nAnswer: -4320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19181 bigger than 19182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25545708989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-1)\/((-665)\/(-335) - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0. Let s = 0 - p. Let q(u) = 2*u - 32. Let c be q(19). What is the second biggest value in 1\/5, c, s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.3 - 3.3. Let z = -14.08 + c. Let b = 5.92 - z. Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from kmopmopmpm?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 8 = -0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -9. Let a(s) = 0*s + 4 - 4*s + q*s + 0*s. What is the tens digit of a(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -386.001457 + 386. What is x rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 8*o - 8. Let f be p(6). Solve f*u - 4 = -4*i, 3*u - 4 = i - 21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -124346 + -11071?\nAnswer: -135437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -30984718 and 1360724.6?\nAnswer: 32345442.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 9\nAnswer: -19\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-4\/3)\/o*o**(1\/11)*(o*o**(-2)*o)**(-2\/57)*((o*o**3)\/o)\/o**(-7)*(o**0*o)**43 assuming o is positive.\nAnswer: o**(1675\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -7*m. Let y(t) be the third derivative of -t**5\/30 - 9*t**2. What is y(o(i))?\nAnswer: -98*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 4951.\nAnswer: -1980.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 879 - 614. What is the hundreds digit of (2332\/i)\/((-2)\/(-180))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -18, -6, 18, 60, 126, 222, 354?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16331 (base 11) to base 8.\nAnswer: -54760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*n - 4 + 4)*(36 + n - 17 - 22) to the form h*n + z + m*n**2 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**3 + 1 + 0 + 2*q + 0*q**2 + 2 - 3*q**2 as m + l*q**3 + a*q + f*q**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -33. Let h be (16\/o)\/(2\/51). Let b(q) = -q**2 + 17*q. Let x be b(h). Solve -2*s - 2 - 6 = x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ldddldddddlddddddd. Give prob of picking 3 d and 1 l.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (432\/(-135) - (-110)\/25)\/(3\/55)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107\/6 + 37\/2. Factor -v*j**3 + 0 - 1\/6*j**4 + 0*j - 2\/3*j**2.\nAnswer: -j**2*(j + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 0. Let u be 48\/5 - i\/5. Suppose -4*t + u = -3. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 7*m**5\/30 + m**4\/12 - m**3\/6 + 3*m**2. Does 14 divide w(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71264 and 186976?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 118*d**2 - 44*d - 222. Is r(-6) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4703, -18857, -42645, -76229, -119771, -173433?\n\"Answer: -27*n**3 - 4655*n**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - 61. Let v = 43 - j. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -140*i - 14. Let w(t) = -206*t - 27. Determine 5*u(q) - 3*w(q).\nAnswer: -82*q + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -112 in -1, 3, 4, 4\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjjjjysysjyyjj. Give prob of picking 1 y and 1 s.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 104 and 22724?\nAnswer: 45448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 10*z**2 + z + 12. Let q be u(-10). Calculate the highest common factor of 8 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*10\/200*2185\/19?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + j = 0. Let n be j - (0 - -1 - -2). Put n, 2, -5 in descending order.\nAnswer: 2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 10296*w + 15717248.\nAnswer: (w + 1864)*(w + 8432)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -3, 55 in decreasing order.\nAnswer: 55, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, 27, 186.\nAnswer: -6, -3, 27, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 199293\/2 at least as big as -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -13*z**3\/3 + z**2\/2 + z - 65. Give s(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 4\/5, 0, 5 in increasing order.\nAnswer: 0, 3\/5, 4\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*f**4 + 11*f**4 - 3*f**3 - 25*f**4 + 2*f to the form c + u*f**4 + j*f**2 + i*f + b*f**3 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.1457\nAnswer: -0.5828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7219 to 2 decimal places.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1687476247 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001334891 rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2668b02 - 1?\nAnswer: -2668b03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 460*f - 455*f + 20 = 0, 0 = -5*p - 4*f - 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 + (-1 - 1) + -3 + 0. Suppose -3*o + 22 = s, y*o + 5 - 170 = -5*s. Factor 37 - 6*p**3 + 8*p**2 + s - 78 + 10*p.\nAnswer: -2*(p - 2)*(p + 1)*(3*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 678*g + 677.\nAnswer: (g - 677)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpqxpxxpxppqqpoppqxp. Give prob of picking 1 x and 1 p.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 3 - r - 5)*(459*r**3 - 77*r**3 + 557*r**3).\nAnswer: 1878*r**4 - 1878*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 995.2837ug to milligrams.\nAnswer: 0.9952837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2854 and 1.\nAnswer: 2854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 4\/121, 5?\nAnswer: 4\/121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/14151 or 0?\nAnswer: 1\/14151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2 = -0*h. Is 414 - (h - (-6)\/3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*t - 3 + 3)*(-63*t + 67*t - 2*t - 545).\nAnswer: -18*t**2 + 4905*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 0.027236130024?\nAnswer: -0.427236130024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 318457 to the power of 1\/2, to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 821, 1, -2\/9, 0, -17, 4\/7, 1\/2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1170 and 38\/145665?\nAnswer: 291330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 7*g**2 + 0*g**2 - 5*g**2 + g**2. Let a(l) = 72*l**2. What is a(u(f))?\nAnswer: 648*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -824 - 892?\nAnswer: -1606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -745*d**5 + d**3 + 1668*d**5 - 756*d**5 - d**4 + 2*d**5 + d**4 + (2*d**2 - 2*d**2 - d**2)*(d**2 - d**2 + d**3).\nAnswer: 168*d**5 + d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486969 is divided by 91.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 8*r. Let z be s(-8). Suppose -4*a = 5*d - 1031, -3*d - 243 + 872 = 5*a. Suppose d = -z*m + m. Does 29 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by 2\/(-4) - (-7)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16288.18 and -0.25?\nAnswer: 16287.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 4*u - 5*j - 36, 5*u + 2*j = 45. Let w = -1 - -5. What is the third derivative of u*q**5 + 13*q**5 + 45*q**2 + w*q**5 wrt q?\nAnswer: 1560*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/((q*(q**(-2\/3)\/q*q)\/q)\/q)*q)**(-32)\/(q*(q*q\/(q**0*q*q))\/q)**(-23\/2))**(-48) assuming q is positive.\nAnswer: q**5632","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -11*z**2 - 9*z - 4. Let n(q) = -5*q**2 - 4*q - 2. Let d(j) = -4*f(j) + 9*n(j). Suppose 0 = 5*r + 158 + 12. Let t = r - -36. Determine d(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p - 43 - 53 = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -947977, -947969, -947955, -947935?\nAnswer: -947909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1889*f = 3770*f - 1889*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265044*q**3 + 81*q**2 - 81*q**2.\nAnswer: -265044*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -5*s**6\/3 + 23*s**5 - 145*s**4\/4 - 65*s**3\/3 + 155*s**2\/2 - 50*s + 10302. Let i(m) = 0. Calculate m.\nAnswer: -1, 1\/2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from bivbsbsvsisibibvivvv?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 5737 - 11428 + 5741, -4*m + 2*m = l + 4*l - 44 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 6*w - 3. Let n be l(4). Suppose -n*u + 16 = -q + 4*q, 0 = q - u + 8. Suppose -2219*p + 2216*p + 45 = 0. Sort q, p, -5, 1 in descending order.\nAnswer: p, 1, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -0.2. Let l = 14.3 - 12.3. Put l, j, -2 in descending order.\nAnswer: l, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from {e: 1, p: 1, h: 1, s: 5, d: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 49*y + 16. Let l(v) = -17*v - 5. Give -11*l(m) - 4*p(m).\nAnswer: -9*m - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 11*d + 16. Calculate the smallest common multiple of 18 and s(6).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134708 - 134709. Let h = -3\/10 + 19\/30. Which is the closest to r? (a) 4 (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + -2 - 9 - -4. Let c(v) = 23*v**2 + 3*v - 5. Let r(j) = 12*j**2 + 2*j - 3. Let n(f) = -3*c(f) + 5*r(f). Give n(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 730 + -335. Let l = 561 - k. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(1512\/64)*(-21)\/(-140)*-5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45366 + 311?\nAnswer: 45677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 247\/1326 + 2\/12.\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1730, -2001, -2272, -2543, -2814, -3085?\nAnswer: -3356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1965 - 2104 = -p. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -34*h**3 - 2*h**2 - 7*h + 15. Let w(d) = 2*d**3 - d + 2. What is -s(n) + 5*w(n)?\nAnswer: 44*n**3 + 2*n**2 + 2*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000015060279 to seven decimal places.\nAnswer: 0.0000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -13*v**2 - 2*v - 1. Let o be b(-1). Let a be 3\/o - 442\/(-8). Suppose -r + a = -1422. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ciki when four letters picked without replacement from {e: 4, c: 2, i: 2, k: 3}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14820 and 22116.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1)\/m*m*m)**23*m**(-2)\/(m\/m**(-2\/43)) assuming m is positive.\nAnswer: m**(858\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59268932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 - 7*t - 13. Let z be m(5). Suppose -4*i = g - 586, -4*g + 0*i - z*i + 2358 = 0. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 10*r + 80. Let f be h(12). What is the greatest common factor of 50 and f?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 1\/20*z**4 - 1\/15*z**3 + 3 + 1\/5*z - 1\/10*z**2. Suppose l(s) = 0. What is s?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 - 0. Let a = -1.2 + 1.3. What is the closest to a in 5, s, 2\/9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 1. Let x be r(2). Let b be 2*x\/2*(-7)\/(-7). Which is smaller: b or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.85 - 1.6. Let k = h - 0.129. Round k to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 86. Suppose -8*z + 4*i = -3*z - 335, z = 5*i + b. Suppose -40 = -2*s + 4*o, -3*o - z = -2*s - s. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -283, -1, -4, -181, -2, 1 in increasing order.\nAnswer: -283, -181, -4, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-210)\/(-225))\/((-6)\/(-15)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + (sqrt(252) + 1 - sqrt(252)))*1 + -5*(sqrt(252) - (sqrt(252) + 1))**2 + ((-1*sqrt(252))**2*-5 - (sqrt(252)*1 + 2)).\nAnswer: -1266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - s. Suppose -2*c + c = s. Let h(g) = -g**3 + g**2 + 0*g - 2*g**2 - g. Calculate h(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 999123 is divided by 2715.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000184669355 rounded to six dps?\nAnswer: 0.000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3 + 3 = 3*z, q - z - 6 = 0. Let w = q - -10. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 5:14 PM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*x**4 + 2408*x**3 - 2408*x**3 - 15 wrt x?\nAnswer: 76*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -8*6\/360 - 64\/(-30). Put d, -3, -5, 1, 11 in ascending order.\nAnswer: -5, -3, 1, d, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-16))\/((-6)\/10)*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20994\/2 - (-18)\/18. Suppose -7*y = -8*y + z. Suppose -27502 = 4*b + y. Round b to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37052880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Expand (47 - 31 + 49)*(5 - 5 + 2*o).\nAnswer: 130*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 2535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -g**4\/12 - g**3 + 3*g**2 + 274. What is z(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2106*q**5 - 4288*q**4 + 152*q**3.\nAnswer: 2*q**3*(q - 2)*(1053*q - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4.4, 87 in decreasing order.\nAnswer: 87, 4.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/107 and 48\/1177.\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 223\/5? (a) -10 (b) -2027 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366*y**2 + 489*y**3 + 19888*y**3 - 366*y**2.\nAnswer: 20377*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**2 - 3*z**2 + 2*z**3 + (3*z**2 - 3*z**2 + z**2)*(3 - 3 + 2*z).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3271936.\nAnswer: 2, 12781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 0.4 (b) 0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, o: 5}. Give prob of picking 1 o and 1 n.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 13*i - 2. Let q be u(2). Suppose -d - 10 = -6*d. Solve -3*n - 11 = -4*k, 4*k + 2*n = -d*n - q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (42\/24)\/(2\/8). Suppose -5*c + k + 11 = 0, -2*c + k = -d*c + 9. Solve c = -4*y + 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -760 times 2\nAnswer: -1520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/60 and 67\/1740.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**5\/7 + 155*u**4\/7 + 85754*u**3\/7 - 1671006*u**2\/7 + 5563143*u\/7 - 3978045\/7 = 0.\nAnswer: -237, 1, 3, 15, 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*k + 1161992 = 107*k + 65*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 253644\/5 or 50730?\nAnswer: 253644\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -133\nAnswer: 1\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-374)\/(-2*1) - (-12 + 13). Suppose -a + 268 = 3*f - d, -1332 = -3*a - 3*f. Calculate the remainder when a is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.4018 + 0.3098. What is g rounded to one decimal place?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05600523 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d**3 + 2*d**2 + d. Let y be h(-1). Suppose -1 = -4*j + y. Is -3*(0 - j - -1) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 - h**2 + 2 + 87*h**4 + 78*h**4 - 2*h**3 - 118*h**4 + 14*h**3 as g*h**3 + y*h**2 + t*h**4 + a*h + o and give t.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000022157591 to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3.562247mm?\nAnswer: 3562.247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 430665848 from -3.194.\nAnswer: -430665851.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 9*d**2 - 15*d - 11. Let h be k(-12). Suppose 1315 + h = 4*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 1:04 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/62 + 3529\/310. Let p = -2057 + 92552\/45. Find the common denominator of b and p.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -16. Let f = 17 + -12. What is the nearest to 0.2 in -1, l, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**3 - 50*r**2 + 33*r - 7. Let c be t(16). Let q(p) = -2*p**3 + 23*p**2 - 14*p - 10. What is the units digit of q(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 15 + 5, -i + 2*o + 17*o - 193 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.5457 to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 459*i**5 + 14490*i**4 + 88044*i**3 + 114168*i**2 + 51552*i + 6912 = 0. What is i?\nAnswer: -24, -6, -2\/3, -4\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iowikkep. What is prob of sequence we?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/202358 and -91\/18?\nAnswer: 1821222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uaau when four letters picked without replacement from uauauuuaauuuau?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19146, 19147, 19148?\nAnswer: 19149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(0 - 4\/(-16)). Let z be -1*n - (-2 - 14). Solve -2*f = -z + 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 divided by -1?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47231 is divided by 67.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15812.3058 + -15815. Let l = -46 - -43.3. Let c = o - l. What is c rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28277 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 22 + -17 + 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11362 (base 13) to base 12.\nAnswer: 16181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 43669497.\nAnswer: 917059437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 77235.5 millilitres?\nAnswer: 77.2355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 + 3*n**4 - 3*n**4 + (-n**2 - 2*n**2 + 2*n**2)*(-3*n + 3*n - n**2) + 4*n**4 + 2*n**4 - 5*n**4.\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 15*s**2 - s - 17. Calculate r(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10615 - 15?\nAnswer: -1062a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 1)*(-3*n + 3*n - n**4) + n**2 - 4*n**4 - n**2 + 0 + 0 - 2*n**4 + 16 + 3*n**4 - 16 to t*n**2 + p*n + z*n**3 + q*n**4 + d and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15597910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3363 + 1078.637.\nAnswer: 1079.9733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18.1 + -19. Let q = h - -0.8. Let p = -1 - 2. What is the second biggest value in 4\/3, p, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 3*r - 1. Let q(n) be the third derivative of 0*n + 0 + n**2 + 1\/12*n**4 + 7\/6*n**3. Let j be q(-5). Calculate p(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 981*k = 991*k - 20. Solve -4*z + 9 = -r - 5*z, -k*r + z = 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 3*o**2 - o + 2. Calculate y(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7781550 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, e: 2}. Give prob of picking 2 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 22624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.09 + -1.09. Let h(y) = -y**2 + y - 1. Let n be h(0). Let x = -1 - n. Which is the smallest value? (a) x (b) 0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -7652799, -22 in decreasing order.\nAnswer: 3, -22, -7652799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*x**2)*((-3 + 3 - 2)*(4*x**3 - 6*x**3 + 3*x**3) - 3*x**2 + 3*x**2 - x**3 + 0 + 0 + 2*x**3 + 2*x**3 + x**3 + x**3).\nAnswer: -6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6.92 times 0.158985\nAnswer: 1.1001762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.0917 * 0.3\nAnswer: -0.02751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 149 - 149.2. Which is the second smallest value? (a) -25 (b) y (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20000012002 (base 3) to base 14\nAnswer: -31135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -138?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 12\/1*412\/12. Suppose 3*v + h = 8*v. What are the prime factors of v?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10202102 - 2202220?\nAnswer: -20112022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 - 191.46?\nAnswer: -191.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2152\/2690)\/(124\/(-10))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.26 + 3.26. Put 2, a, -5 in descending order.\nAnswer: a, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -3*a**4 + 108*a**3 + 693*a**2 - 13962*a + 24336 = 0.\nAnswer: -13, 2, 8, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 168318880 or 168318875?\nAnswer: 168318880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5}. Give prob of sequence uu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 15*z**2. Let y(r) be the first derivative of 5 - r**2 + 2*r**2 - 823*r + 823*r. Give y(f(k)).\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 336 - 331. Solve -4*w + i*r + 5 = -2*w, -w - 4 = 4*r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 142599252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-14) - 264\/(-1463). Let o = 4 - 1. Let p = o + -3.1. Which is smaller: p or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, k: 1, l: 1, g: 4, t: 2, v: 2}. What is prob of sequence kv?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4 + -1*sqrt(539) + (-5 + 1 + sqrt(539) - sqrt(539)))**2 + -5.\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -154, -345, -534, -721, -906, -1089?\n\"Answer: v**2 - 194*v + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 32 + 16. Let l be f + (-2 - -3) - (4 + -2). Suppose 4*y - 2*g - 92 = -3*g, 0 = l*y + 3*g - 69. What is the remainder when 90 is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*y - 22 = 83 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 24*t**2 + 24*t - 26. Let x be i(23). Let h = x - -6. Sort -4, h, 5 in ascending order.\nAnswer: -4, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292 divided by 7.\nAnswer: 292\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.1, 0.21, -0.1, -2, 3\/7, 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 24*d**2 - 20*d - 2. Let l(c) = -22*c**2 + 19*c + 3. Let x(f) = 9*l(f) + 8*n(f). Let m(y) = 3*y**2 - 6*y - 6. Calculate 11*m(q) + 6*x(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13 + -19009)*5\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3141*o - 1408*o**2 + 173*o**2 + 4375*o wrt o.\nAnswer: -2470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 158*s**2 - 13*s - 33. Let i be c(-4). Suppose -435 = 2*q - i. Suppose 6*z = -2*z + q. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, l: 12, e: 1, c: 2, o: 3}. Give prob of picking 1 l, 1 e, 1 p, and 1 o.\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -615, -1221, -1827, -2433, -3039, -3645?\nAnswer: -4251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 18. Suppose 0 = -3*k - 5*v + 35, -5 = 5*v - 25. Suppose 10*c - k = w*c. Solve 3*d - 24 = 4*r, r = -2*d - 0 + c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60955 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04460344604 from -0.5.\nAnswer: -0.45539655396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 81.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**4\/6 + 5*m**2\/2 - 5. Let j(o) be the second derivative of g(o). Is j(-9) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 15?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(68) - (sqrt(68) - (-4 + (sqrt(68) - sqrt(68)*-1))))**2 + 5.\nAnswer: -32*sqrt(17) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384 = -3*u + 864. What is the highest common factor of 20 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -5*w**3\/3 - 15*w**2 + 35*w - 22. Factor b(v).\nAnswer: -5*(v - 1)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-20))\/(-1)*2*360\/216\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 2:38 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -346148183 + 4?\nAnswer: -346148178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2776432um in centimeters?\nAnswer: 0.00002776432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -a**6\/120 - a**4\/24 + 2*a**3\/3 + 4. Let w(f) be the third derivative of n(f). What is the derivative of w(u) wrt u?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/24*(-6)\/2. Sort -28, -2, -0.3, t in decreasing order.\nAnswer: -0.3, -2, t, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, f: 3, a: 2, c: 5}. Give prob of sequence fwwa.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-15))\/((-57)\/(-380))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -6. Suppose -5*p + 2*h = -20, t*h + 24 = -4*p + 68. Calculate the least common multiple of p and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -4*z, 21 + 5 = 4*w + 5*z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -0.1, 2\/3, 47 in decreasing order.\nAnswer: 47, 2\/3, 1\/6, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -71, -87, -121, -179, -267, -391, -557?\nAnswer: -771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.001 + -288.8\nAnswer: -288.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*a = -451 + 55. Solve -a = -13*o + 17*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5766 is divided by 959?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 4 (b) -42 (c) 0 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34352 - 566*u**2 + 3*u + 34352 - 3*u.\nAnswer: -566*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 7. Let b be s(7). Let x(q) = -q**3 - q**2 + q + 1. Let k(c) = -5*c**3 - 7*c**2 + 7*c + 8. Let z(r) = k(r) - 6*x(r). Determine z(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 13) to base 15.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477 is divided by 435?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19679 - 39357\/2. Let s(j) be the first derivative of -2*j + 12 + z*j**2. What is s(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 407 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, r: 1}. What is prob of sequence ffr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 277253, -4, -248 in descending order.\nAnswer: 277253, -4, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -38772 divided by -12924?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5698789 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 12:27 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4948722.\nAnswer: 2, 3, 113, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (59 - 70) + (50 - -8).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3210 and -1.\nAnswer: 3210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000621 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2015 - 1296. 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: What is the hundred thousands digit of 1911806?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(42) + (sqrt(42) - sqrt(168)\/sqrt(4)*-1))\/(sqrt(14)\/sqrt(2)*-3))\/((sqrt(600)*2)\/(sqrt(12)\/(sqrt(4)*2))))**2.\nAnswer: 3\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*n + 11821 = 6901 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -100, 5, -3\/2, 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 7) + 1 + 7 + 0. What is the highest common divisor of 145 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 134, -1 in descending order.\nAnswer: 134, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(19)*1 + (sqrt(304) + 2 - sqrt(304)) - (sqrt(209) + (sqrt(209) - sqrt(209)*2*2))\/sqrt(11)*-4.\nAnswer: -7*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5791*t + 231631. What is a(-40)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + (0 - 5))*-1220. Round h to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from syvcvsccgsscccsvgsvs. Give prob of picking 4 s.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*p**2 + 2324*p - 260 = 0 for p.\nAnswer: 10\/89, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**3\/3 + 9710400*a**2 + 35359460270398*a + 212156645097604\/3 = 0.\nAnswer: -7282799, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 123\/17 + -564\/85. Is u greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*b**3*x + 76*b**3 + b**2*x**2 with respect to x.\nAnswer: 33*b**3 + 2*b**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/4 - 29*b**3\/2 - 16*b**2 + 149*b\/2 - 177\/4.\nAnswer: (b - 59)*(b - 1)**2*(b + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1504 + 927. Let z = 90 - n. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r**2 - 6. Let o(s) be the second derivative of 3*s**4\/4 - 6*s**2 - 8*s - 2. Let b(j) = -3*o(j) + 5*v(j). Let u(p) = -2*p. Give u(b(i)).\nAnswer: 4*i**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-48)\/(-105) - 9\/15. Sort 0.1, q, -1\/2, 11 in descending order.\nAnswer: 11, 0.1, q, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwmwm. Give prob of picking 2 w and 1 m.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h + 130 = -19*h. Suppose -8*y + h*y + 4*t = 24, 0 = -3*t + 15. Solve p - 11 = d + 4*p, 0 = p + y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7008657 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 divided by 14?\nAnswer: -157\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-1)*p)\/p)\/p)\/p**(1\/2)*p**(-2)*p*p\/((p\/(p*p**(3\/5)))\/p))\/((p*p**0)**30*p**(-3)\/p**(2\/15)) assuming p is positive.\nAnswer: p**(-833\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3*sqrt(76) - sqrt(76)))\/(sqrt(4) - (-6*sqrt(16)\/sqrt(4) + sqrt(4))) + 1*(1 + sqrt(2736)) + 1 + (1 + sqrt(76))**2.\nAnswer: 46*sqrt(19)\/3 + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 0.4, -251, 2\/17 in decreasing order.\nAnswer: 0.4, 3\/8, 2\/17, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12120 (base 6) in base 4?\nAnswer: -123300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.2 - 13. Let k = -0.16 + u. Sort -3\/7, k, 0.4.\nAnswer: -3\/7, k, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 2*b = -34, -h = -3*b - 80 + 73 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 311134.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -375130 - 0.02.\nAnswer: -375130.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 + -102. Let w = -20 + x. Let y = 29 - w. Calculate the greatest common divisor of y and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 6. What is the remainder when 11 is divided by f(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -10. Suppose 5*p - 24 = d. Suppose -196 = -2*k - 0*k + 4*c, 5*c = -p*k + 535. Calculate the remainder when k is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + f - f)*(4 + f - 4) - 760*f**3 + 396*f**3 + 377*f**3 + (-2 + 2 + f**2)*(-f + 2*f - 3*f).\nAnswer: 12*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2) - 176\/(-32). What is the third derivative of -6*f**5 + 0*f**5 + 5*f**t - 14*f**2 wrt f?\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5476 + 68112 = 5*r, 2*f = -5*r + 62634. Suppose 14*b + r = 74336. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1206741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 866425719 to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1915.76ug?\nAnswer: 0.00000000191576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i = 0. Let h(f) = 0 + i*f - 2 - f. What is h(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1)\/(1164\/485)?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 22.471 * 0.5\nAnswer: 11.2355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, 1\/2, 117\/10, 2\/5, -16, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x**2 - 88. Let p(s) = -s. Give q(p(k)).\nAnswer: -5*k**2 - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64797 is divided by 21471.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32408 - 32411. Let a = 7 + -3. Put -0.04, a, f in descending order.\nAnswer: a, -0.04, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2389969 - -1.\nAnswer: -2389968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.8 + -6.7. Sort 2\/5, -4, r in increasing order.\nAnswer: -4, r, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.9 - -2.9. Let s = y - -10.1. What is the nearest to s in 0.3, -4, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 5:38 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10.2429+-4074\nAnswer: -4084.2429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 4*m + 5. Let w be r(3). Let d(u) = -57000 + 332*u - 2*u**w - 332*u. Let f be d(0). Round f to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 266*o**2. Let k(u) = -1678*u**2. Calculate k(c(f)).\nAnswer: -118728568*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 10 - 8 - 2 + 3*o. Let h be b(1). Suppose 2*g + h*g = 2*n + 73, -46 = -2*g + 5*n. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, u: 1, e: 1, z: 1, x: 1}. What is prob of sequence uqex?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2498868 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*w + 25 = 4*n, 0 = 2*n + 3*w - 11. Find the third derivative of -n*r + 6*r + r + 20*r**4 - 36*r**2 wrt r.\nAnswer: 480*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*h**2 + 82*h - 204*h + 120*h.\nAnswer: 38*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186085, -372600, -559115, -745630, -932145?\nAnswer: -1118660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**3 - q**2 + 2*q - 1. Let b(l) = l**3 + l + 1. Let h be b(0). Let x be d(h). Suppose -x*v - u = -6*v - 5, v + 2*u = -4. Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 3742 + 3734. Let z be 1\/((-78)\/52*u*3). Which is the fourth biggest value? (a) 2 (b) -3\/5 (c) -0.11 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 8*v**2 - 43*v - 250. Let w be t(-8). Solve 0 = n + 95 - w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 x when two letters picked without replacement from {b: 1, x: 2, j: 1, e: 1, v: 1, n: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 8*z**2 + 9*z - 8. Let p(v) = -v**3 + 34*v**2 - 194*v - 324. Calculate the smallest common multiple of p(26) and l(8).\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43.646 times 16\nAnswer: -698.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4219*k - 4073*k - 292. Factor 4\/7*a**3 - 16\/7 + 32\/7*a - 20\/7*a**k.\nAnswer: 4*(a - 2)**2*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222\/296*(-4)\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*x**4 - x**3 + 3*x + 83*x + 49*x**4 to y + i*x**3 + t*x**4 + q*x + w*x**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kaxy when four letters picked without replacement from {k: 2, y: 3, a: 3, x: 5}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 114613271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1317212048989 from 0.4.\nAnswer: 1317212048989.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 16 = -24*w - 108, 0 = 5*d + 2*w - 59 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 6*b = 17764. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 5. Suppose 131*p - 116*p + 210 = 0. What is v(p)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 36*o. Let r(i) be the second derivative of -97*i**4\/12 + 6813*i. Calculate r(p(c)).\nAnswer: -125712*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006993193 to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 2*f**2 + f + 2. Suppose -5*c + 10 = -0. Suppose 4*v - 4 = 2*v. What is the remainder when y(c) is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 1. Let h be g(-4). Let m(k) = -k**2 - 7*k + k - 3 + 4 + 0. Give m(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o + 7. Let i be c(-5). Let a = i - 22. Determine q, given that -7\/3*q**2 + 4\/3 + a*q - q**3 = 0.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 71145 and 52173?\nAnswer: 782595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2403906?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4230869 and 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(400)*-2 + sqrt(400))\/(sqrt(360)\/sqrt(4)))\/(sqrt(16)\/sqrt(72) - (6*(sqrt(8) + (sqrt(8) - 1*sqrt(8))) - sqrt(8))).\nAnswer: -18*sqrt(5)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1235 (base 11) to base 3.\nAnswer: -2012200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**2 + 0 + 1\/60*o**5 + 0*o - 1\/9*o**3 - 1\/360*o**6 - 1\/630*o**7 + 1\/72*o**4. Factor s(j).\nAnswer: -(j - 1)**2*(j + 1)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386 is divided by 40?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.3 (b) -2\/3 (c) -0.65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 3*j - 18 = -q, q = j - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 226 = -4*t + 2*a, -216 = 2*t + 3*a. Let l = t - -106. What is the tens digit of ((-12)\/10)\/(l\/5)*180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 611*o**3 - 7*o + 7*o + 16 + 609*o**3.\nAnswer: -2*o**3 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**2 + 0*w + 4*w**2 + 0*w - 14*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4517099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1874552 divided by 233.\nAnswer: -1874552\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 441645173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-15)*v)\/v*v)\/(((v*(v\/(v*v*v**(-14)))\/v*v)\/v)\/v)*(v**(-1))**(-4\/5) assuming v is positive.\nAnswer: v**(-121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d - 4. Let r(p) = -26 - 19 + 36 + 11*p. Suppose 0*h = -4*h + 16. Let i(k) = h*r(k) - 9*y(k). Let f(v) = -v. What is 2*f(z) - i(z)?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158\/12 + 5\/(-30) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-21 + 5 + 2 + 1)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 754553122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 543593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrzrzzzzzz. What is prob of sequence zrzr?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(304)*2)**2 + -5) + -3.\nAnswer: -6058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 7*w - 6. Suppose -l - 3 = -4, -2*o - l - 9 = 0. What is the units digit of j(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -4*l - 1448 + 1452, -21*l + 1 = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31281\/10 - 3122. What is the common denominator of ((-3)\/((-18)\/(-218)))\/2 and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/11)*(z*(z**(-6\/13)\/z)\/z)\/z*(z*z**(2\/19)*z)\/z*z**4*z assuming z is positive.\nAnswer: z**(10147\/2717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 482384228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 974682 is divided by 1507?\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 15948.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1879 (base 11) to base 5.\nAnswer: 34020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 19. Let u = -0.7 + 0.3. Which is the closest to -1? (a) u (b) 0.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.029 times 873\nAnswer: -25.317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 55347 divided by 5560?\nAnswer: 55347\/5560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101350*n = -101554*n + 5100 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 2*z + 1916 = 12*r, 5*r = 3*z + 1901. What are the prime factors of r?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x**3 - 163*x**2 + 428*x + 351. Calculate j(-35).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1506119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (123 - 74) + -17 + -37.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -838*d + 868*d - 30 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 8*x**2. Let n = -19 + 27. Let a be g(n). Solve -1 + a = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.9448 + 0.0552. What is the nearest to 2 in -13, -5\/3, r, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11585, -23703, -35853, -48029, -60225, -72435, -84653?\nAnswer: -96873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 20*m**2 + 42*m - 26. What is the units digit of v(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102012 (base 3) in base 4?\nAnswer: 10232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, x: 1, g: 1}. Give prob of picking 1 g and 2 p.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 + 9*q**2 + 0*q + 0*q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(2*o - o + o) + ((-2 + 2 + 2)*(2*o - 2*o - o) + 0 + 0 - 2*o)*(205 - 55 - 11).\nAnswer: -558*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -1. Suppose 0 = 2*w + 5*b - 7 - 2, -3 = 3*b. Suppose w + 8 = -3*n. Sort y, 2, n in increasing order.\nAnswer: n, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012 + 200211011?\nAnswer: 200212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 15. Let t(w) = -3*w - 13. Let n(h) = 3*t(h) - z(h). Give n(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44916 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -11\/3*y**2 + 100*y - 96 - 1\/3*y**3 = 0.\nAnswer: -24, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*1*((-3)\/3)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 11*y + 74*y)*(-6 + 0 + 2).\nAnswer: -256*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 724*j = 3135 - 29923 for j.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*n**3 + 20292*n**2 - n - 790049 with respect to n.\nAnswer: -9*n**2 + 40584*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -5*h**6\/3 - 46*h**5\/5 + 366*h**2 + 3*h + 1039. What is the second derivative of y(j) wrt j?\nAnswer: -200*j**3 - 552*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2997916, -2997879, -2997818, -2997733, -2997624, -2997491?\n\"Answer: 12*b**2 + b - 2997929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4486 times 11\nAnswer: 49346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -275, -413, -549, -683, -815, -945?\nAnswer: -1073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0283915 rounded to 4 decimal places?\nAnswer: 0.0284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**2 + 3*a**2 - 5*a**2 + (-3*a - 2*a + 6*a)*(-a + 2 - 2) - a**2 + 0*a + 0*a - 3*a**2 - 9*a**2 + 3*a**2.\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 10*g + 9*g**2 - 2 + 4 + 3 - 3. Let l be u(-10). Suppose -24 = -0*x - l*x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7192731 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*n - 27, -4*i + 104 = -0*i - 4*n. Let u = i + -18. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2. Let r(h) = 99*h**2. Give r(z(o)).\nAnswer: 396*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88 + -77. Let v(m) = 4*m - 19. Calculate the remainder when v(q) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9}. Give prob of sequence ii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(1\/3)*x)\/x))\/((((x**(-4)\/x*x)\/x)\/x)\/x)*(x**(-1\/4))**25*x\/(x\/x**(-6)*x)*x*x**4\/x*(x*x**(1\/4)*x)**(-2\/37) assuming x is positive.\nAnswer: x**(-757\/444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2\/125 of a tonne?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2107.763 - -2110. Let n = j + -0.017. Let m = n - 2.042. Round m to two decimal places.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1073 - -1076. Let k(w) be the first derivative of 2*w**j + 6 + 0*w + 0*w**2 + 0*w**4 + 2\/5*w**5. What is the third derivative of k(i) wrt i?\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*g - 2 = -8, -g - 2 = 0. Sort 5, o, -4 in increasing order.\nAnswer: -4, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 747322205 to the nearest integer?\nAnswer: 27337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1251382 - 1251477.3023. Let z = -95.4 - c. Round z to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 - 42 - (-3 - 0 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 685*d**2 + 3630205*d + 2066610.\nAnswer: 5*(d + 5299)*(137*d + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*q**2 - 20*q**2 + 1905 + 9*q**2 - 1905 + 15*q**2.\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**3 + 47*g**2 + 33*g + 47. What is the remainder when s(24) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuu when three letters picked without replacement from {u: 1, w: 2, v: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -16*d**2 - 6*d + 6. Let j(y) = 30*y**2 + 64*y - 19. Let x(h) = -15*h**2 - 29*h + 9. Let v(g) = -4*j(g) - 9*x(g). Give -5*m(q) - 6*v(q).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26375 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2185 and 8426785?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, m: 11}. What is prob of sequence ddmm?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*y + 10*y**3 + 108*y**3 - 21*y**3 + 44*y**2 wrt y?\nAnswer: 582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -691944 (base 10) in base 13?\nAnswer: -1b2c46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -4*u**5 + 64068*u**4 + 256312*u**3 + 384488*u**2 + 256332*u + 64084 = 0.\nAnswer: -1, 16021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 + 6*q + 6. Let f(z) = -z**2 - z - 1. Let c(l) = -2*l**2 + 0*l - 2*l - 1 - 2*l + 0. Let k be c(-2). Give k*j(x) - 6*f(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + t. Let l(k) = -6*k**2 + 4*k + 1. Suppose 0*u + u + 5*i = 30, -u + 5*i - 20 = 0. What is u*g(a) - l(a)?\nAnswer: a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 - -0.34. Let g = -0.30025 + c. Round g to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-15)\/10*384\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 j when three letters picked without replacement from jjjkjjkjkjjjjj?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 4*k**2 - k - 2. Let s be a(-4). Let w = 3 + -15. Let t = w - -10. Sort s, t, -4 in decreasing order.\nAnswer: s, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 404066 divided by -12.\nAnswer: -202033\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -0*z + 5*z - 140, 5*z = 0. Let s be (4\/6)\/(f\/(-12)). Let q be 15\/(-20) + (-26)\/65 + 247\/180. Which is the nearest to -0.1? (a) s (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -208*s + s**3 + 4*s**3 + 3 + 214*s. Let k(d) = -4*d**3 - 5*d - 3. What is -6*k(t) - 5*v(t)?\nAnswer: -t**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5)*o)\/(o*o**(-2\/7)*o*o*o))\/((o\/o**(-6))\/((o\/(o**(6\/5)\/o)*o*o*o*o)\/o)) assuming o is positive.\nAnswer: o**(-382\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012423823 rounded to five decimal places?\nAnswer: -0.01242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*w, 2*w = 5*h + 4*w - 8. Solve o + 3 = h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 + i**2 + 2*i - 2. Let y be u(1). Suppose -10 = -y*a + 41. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 0.2, -0.5, 9\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/584 and 101\/8596.\nAnswer: 1255016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.54 + 0.51. Which is the closest to -46? (a) 5 (b) 2\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 820836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 332422 - -67?\nAnswer: 332489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231 (base 5) to base 16.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4255, 8088, 14453, 23332, 34707?\nAnswer: 48560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4*b**4 + 3*b**3 + 632*b**2 - 6*b + 1044. Let n(j) = -2*j**4 + j**3 - j**2 - 2*j - 1. Let z(i) = 3*n(i) - t(i). Differentiate z(y) wrt y.\nAnswer: -8*y**3 - 1270*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b*m**3*q + 410*b*m**3 + 115*b*q + b - 104*m**3 - 143*m**2*q + 3*m*q wrt b.\nAnswer: -m**3*q + 410*m**3 + 115*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5195659685 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*m - 33. Suppose 3*k - k = 4. Solve m = -k*l + 1 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {g: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35837 - 22502. Suppose t = -4*l - l. What is the tens digit of 2\/(-8) - (-8)\/((-224)\/l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-4))\/(2\/(-16)). Suppose -475*f - 4*w - 87 = -480*f, -4*w - 54 = -2*f. Solve 3*x + f = -a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 18. Let j be 163*z + -4 + 0. Let v = 236 - j. What are the prime factors of v?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (3 - (-3 + 1)). Let g = -0.0738 + -0.0262. Which is the closest to g? (a) t (b) 0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25 and 622325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -481 - -45804?\nAnswer: 45313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 2442?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -11 - -7 - 3*-1. Let g(m) be the first derivative of 6*m**2 + m - 1. Calculate g(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-2 - 2\/(-2)). Suppose -4*y - 5*u = -42, 4*y + 0*u + 4*u - 40 = q. Let d = 77 - 54. Calculate the remainder when d is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 293832, 293827, 293822, 293817, 293812, 293807?\n\"Answer: -5*f + 293837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 531684.\nAnswer: 2, 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 - ((12 - (12 + -15)) + (-5 + -1 - 7))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385 is divided by 194?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22202, 22147, 22092, 22037, 21982, 21927?\nAnswer: 21872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(-33)*2*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -2062.\nAnswer: -2\/1031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26.8 - 26.4. Put 0, 2, f, 0.5 in ascending order.\nAnswer: 0, f, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 48\/(-6)*2\/(-4). Solve -5*r + 2*w + 2*w + 11 = 0, 0 = w + g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33133902 divided by -3062\nAnswer: -10821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/378 and 147\/(-49) - (-5)\/(630\/377)?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-30)\/(-150)*150)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 3*q + q + 2*c, 2*q - 42 = c. Suppose q*u**4 + 3*u**2 - 4*u**2 - 20*u**4 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - ((-3)\/(-3))\/(-1). Let t = 1211\/164 + 15\/41. What is the common denominator of t and (-1)\/((-20)\/(-21))*s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -6. Let y(q) = -5*q**2 + q + 7. Let p(x) = 6*x**2 - x - 8. Let d(i) = 4*p(i) + 5*y(i). Determine d(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79741 - -79743. Let w = 0.06 + -6.06. What is the smallest value in 3, w, 0.4, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*d = 8588, -4*d = -80*o + 81*o - 8583. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-63)\/(-70) - (-4 - (-4 + -1)). Let q(c) = c - 3. Let u be q(3). Is u at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**5 + 2*w**5 - w**5 + (-3*w**5 + w**5 + 6*w**5)*(3 - 4 + 0).\nAnswer: -2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52728 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (4 - (4 - -4) - -522)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i - 5*i + 4*i)*(21*i**3 + 11*i**3 - 146*i**3) - 5*i**4 + 6*i**4 - 3*i**4 in the form d*i**2 + n + p*i**3 + f*i + b*i**4 and give b.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793 a factor of 70065403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 + 13*u + 494. Give c(19).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**4\/8 - 5*w**3 - 7*w**2. Let z be k(11). Solve 2*j - 6 = u - z, -5*u + 2*j + 1 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 2*v. Let o be x(3). Let g be (19 + (-25)\/5)\/((-1)\/3). Let c = 46 + g. Solve -c*n = 3*z + 3 - 0, o*z - 5*n + 3 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 greater than 79\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.3841 - 0.0441. Let v = a + 3.66. Is v at least 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*h + 332 - 989. Suppose 26*c = h + 83. Solve -2*s + c*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = u + 6. Let z be (146 - -2)\/(u*1). Let g = z + 50. What is the smallest value in -1, -1\/3, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(240))\/((sqrt(27)*2)\/sqrt(9)).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c - 2*c = -70826. Let v = -2102 + c. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04 - 49.74. Let l = z + 43. Let r = l + 4.4. Round r to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-9\/5)\/t*t)\/t*(t*t*t**(-18))\/t*(t**(-4\/9))**(-3\/52) assuming t is positive.\nAnswer: t**(-3856\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4508009 and 187.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 3*x - 3*q + 31, -x - 5*q + 5 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2307*m**4 + 1346*m.\nAnswer: 27684*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552375 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -14. Let y be (m - -1)*(-2)\/(-2). What is the remainder when 14 is divided by (-9)\/(-3) - 2\/y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 937177458 a multiple of 529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of 3*a**6\/40 + 3*a**5\/10 - 5*a**2 + 4*a. Let m(x) be the first derivative of q(x). Find the third derivative of m(l) wrt l.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 14*a - 23. Determine r(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 p when four letters picked without replacement from pphhpshsphshshphsphp.\nAnswer: 392\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 34813.\nAnswer: 34813.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u. Let n(o) = -44*o - 188*o**2 - 20*o + 64*o. Determine z(n(k)).\nAnswer: -564*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 - -38. What are the prime factors of (u\/(-9)*3)\/(4\/108)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -103330243?\nAnswer: 103330301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g - 80 = 0. Suppose 0*n + n = g. Let c(b) = 4*b**2 + 51*b + 3. What is the least common multiple of c(-13) and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/9828 (b) 1 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-5) - (-177)\/295. Which is the third smallest value? (a) y (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddiddddd.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70288 = -7*a + 12*a - 3*q, -3*a = -10*q - 42140. List the prime factors of a.\nAnswer: 2, 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -84112*s - 5635509. Calculate b(-67).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (sqrt(36)\/sqrt(9))\/sqrt(2)) + sqrt(2))*3.\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3083 divided by 2?\nAnswer: 3083\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*p - 4*p. Let b(w) be the first derivative of 0*w**3 - 1 + 1\/2*w**2 + 2\/5*w**5 + p*w**4 + 0*w. Find the second derivative of b(t) wrt t.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 343304943 to the power of 1\/2, to the nearest integer?\nAnswer: 18528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -669 times 1301.62?\nAnswer: -870783.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.7308864 + 1\nAnswer: 0.2691136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l + 10. Let i(a) = 54572*a. Calculate i(m(f)).\nAnswer: -163716*f + 545720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1548*z + 825*z - 1055*z + 9101 + 5123 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*m - 2*x + 8, -2*m + 5*x = 1. Let d be (-1)\/m*(-4 - 0). Solve -2*k = -4*k + d for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/15)\/(2\/186). Suppose -3*f = 0, 2 = 3*u + 3*f - b. Solve -a + u = -5*a - 3*x, -3*a - x = 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138084870 to the nearest integer?\nAnswer: 11751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-90)\/(-8))\/3)\/((4131\/34)\/27)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-2) - (1 + -44). Let m(q) = -q**3 + 84*q**2 + 19*q - 1575. Let r be m(84). What is the greatest common factor of r and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.5 - -4.4. Let p(o) = -o**3 + 8*o**2 - 8*o + 1. Let k be p(7). What is the second smallest value in z, k, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 1 + 2 = 3*t, -4*a + 4*t + 12 = 0. Suppose -o - a*i + 29 + 52 = 0, -2*i + 182 = 2*o. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4757 - 268 = -z. Let q be (-6)\/4*(5 + z\/(-15)). Let y = q + 455. Is y at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -5 (c) -0.1 (d) -21308\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 2*s - 19050, 0*s = -2*s. Suppose -1310 = 7*g - p. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 60*j**2 - 25*j - 80. Is a(23) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 17\/60*f**5 + 0*f**4 - 1\/35*f**7 + 3*f**2 + 0*f**3 + 0*f**6 + 0*f + 0. Find the third derivative of h(s) wrt s.\nAnswer: -144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2. Let g(r) = -60*r**2. Determine s(g(n)).\nAnswer: 10800*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**3\/6 - o. Let k(c) be the first derivative of -c**4\/6 + c + 1. Let y(z) be the first derivative of k(z). Give y(l(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**5\/10 - 6*j**2. Let z(d) = d**2. What is z(t(p))?\nAnswer: 36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -32253.436 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 168109705 to the power of 1\/4, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 + -3.97. Sort g, 0.5, -1 in increasing order.\nAnswer: g, -1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 13 (b) -2\/61 (c) -1\/7 (d) 0.4 (e) -3\/4 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 3*z - 2*z)*(1190 - 115 + 326).\nAnswer: -2802*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*(-2)\/(-30))\/((-1)\/(-10)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/11, -2\/1421, 5, -3\/38, 9\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*a**2 + 0*a**2 - a**4 + (-1 + 3 + 0)*(8*a**2 + 14*a**4 - 8*a**2) to the form i + x*a**3 + u*a**2 + o*a**4 + r*a and give o.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3659\/2652 + -1\/204. Which is smaller: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2855327320.\nAnswer: 2, 5, 1181, 60443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14017?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2184 a factor of 318820320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 17*d**2 + 2958*d + 125809. Give c(-74).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**3\/6 + 27*k**2\/2 - 180*k + 558 = 0.\nAnswer: -93, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -40e9c4 (base 15) in base 3?\nAnswer: -12210211111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -24*p - 221 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*i - 4*i + 0*i)*(3 + 0 - 2) + 2*i + 3*i - 6*i)*(2*i**4 - 2*i + 2*i).\nAnswer: 2*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**2 - 645*g**3 + 320*g**3 + 3*g**2 + 326*g**3 + 151*g in the form f*g**2 + v + o*g**3 + y*g and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.043005 and -11.\nAnswer: -10.956995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 68770909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 9:02 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(931) - sqrt(931)*3)**2 + sqrt(931) + 1.\nAnswer: 7*sqrt(19) + 3725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 4*o + 5. Suppose 3*z = -5*u - 5, -4*z - 1 = -u - 2. Suppose z = 2*h - 7 - 3. Does 5 divide y(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/237372 and -115\/6.\nAnswer: 237372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9382.\nAnswer: 2, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3164335 is divided by 613.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 - i**2 - i. Let s be 2 - (-1 + (-5)\/(-1)). Let n be s\/4*(3 + -1). Let y be h(n). Put y, 0, -4 in increasing order.\nAnswer: -4, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 33 - 1 - 10)*(19*c**2 + 32*c**2 + 3*c**2).\nAnswer: -3078*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005820468 rounded to six dps?\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 + 183*x + 0 - 20 to v + n*x and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - p + 23 = 6*z, -3*z = 5*p - 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7371 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g - 1662 = 1053. Let r(q) = 181 - q - g + 2*q. Let y(s) be the second derivative of 19*s**4\/12 - 2*s. Give y(r(z)).\nAnswer: 19*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1042 - 10*r**2 + 1042 + 0*r**2 - 15*r**2.\nAnswer: -25*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76963590 by -26631.\nAnswer: -2890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**5\/20 + q**4\/3 - q**3\/6 + q**2\/2 - 80*q. Suppose -5*k + 2 - 26 = -2*m, -8 = 3*k + 2*m. Give b(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/15)\/(3\/((-9)\/6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 12*u + 23. What is the least common multiple of 46 and l(-11)?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - -3. Let g = u + -11. What is the nearest to -2\/3 in 2\/5, -1\/3, g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -18634.3132?\nAnswer: -18633.8132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 10 = 2*m, 0 = -3*m + 6*m - 5*k - 15. Suppose -17 = m*r - 3*g, 3*r + 0*g + 15 = -3*g. Let t(h) = 10*h**2 - 2*h + 1. Is t(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 2) to base 16.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 0. Let c = -3 - -18. Calculate the highest common factor of c and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6*k - 265 = 0. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5159*u**3 - 1282*u.\nAnswer: -30954*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -5) + 4 + 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60770 divided by 206.\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 26*g**2 + 27*g + 9. Let u be a(-27). Calculate the highest common divisor of u and 2133.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7 - 10 + 32 + 42*s**2 wrt s.\nAnswer: 84*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 32 (b) 3\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v + 6. Let p(s) = -s**3 - 5*s**2 + 7*s + 1. Let u be p(-6). Is 13 a factor of y(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 373c4 - 25?\nAnswer: 3739e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from jvqqjqejjqjqqjqqq?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 56503\/168 - 2396\/7. Calculate the common denominator of u and 7*3\/12*(-23)\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzpllrrrplrczlvvlzpr. What is prob of picking 1 l, 1 z, and 1 c?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-720)\/(-405) + (-4)\/(-18). Let o(v) = -49*v**2 - 55*v**2 + 101*v**l. Let z(x) = -43*x**2. What is z(o(p))?\nAnswer: -387*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 1125258588?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-56)*30\/(-3).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 23*u + 357. Let w be j(-31). Solve 755 = w*d - 117 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*1\/2*-2. Suppose -3*i + 1 + 5 = 0. Let h be ((t - i) + 3)\/(-2). Solve 5*y + 2*j = -3, 5*y - j + 2*j - 1 = h for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -399870826.2 + 567?\nAnswer: -399870259.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 504\/16 - (-3)\/2 and 21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1397a (base 15) in base 8?\nAnswer: -172652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 165861 (base 10) in base 2?\nAnswer: 101000011111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -2, -422, -9 in ascending order.\nAnswer: -422, -28, -9, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -2852\/11 + 14304\/55. Let q(g) be the first derivative of -3*g**4 + p*g**5 - 42 - 2*g**2 + 0*g + 4*g**3. Find a, given that q(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 15 + 0 = 0. Let v = h + 7. Suppose 0 = -4*d + 8*d + v. Which is greater: 0.9 or d?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a7a5a9 (base 11) in base 8?\nAnswer: 6455067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-15)*1*-1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/35222671 and 101\/19212366.\nAnswer: 211336026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -6 - 1\/9*u**3 - 1\/3*u**2 + u. Determine j, given that x(j) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6, -12, -34, -84, -174, -316, -522, -804?\n\"Answer: -2*d**3 + 4*d**2 - 4*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62 + 104. Suppose 2*j + 0*j = p. Suppose 0*n - n + 5*t + 1 = 0, 5*t - j = -n. What is the highest common divisor of n and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1358409 and 450424?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221 - 10000?\nAnswer: -11221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.217697*-17.9\nAnswer: -3.8967763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2 + 4. Solve 3 = 3*p, 0 = m*q - 3*p + 4*p + 9 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 1.4. Let j = x - -5.4. Let b = 3.996 - j. What is b rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-5)\/(-6))\/((-315)\/1701)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37 and -1.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a meter in millimeters?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 88815 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 5*b - 3*p + 24 = 0, -224*b + 5*p - 14 = -223*b + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -1\/15*w**3 + 0 + 1\/15*w**4 - 1\/50*w**5 - 3*w + 0*w**2. What is j in l(j) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 12. What is the nearest to u in -1\/3, -0.1, 9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 - -799 - -20*(-24)\/(-60)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*q + 1 = 74*q. Let g(k) = -k**2 - 4*k. Let i be g(-3). Let n be i\/12 - 2\/4. Which is the second biggest value? (a) 2 (b) q (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 3*g = -3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/5)\/c**4*c**(-3)*c*c*c\/c**7 assuming c is positive.\nAnswer: c**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -b, 2*b + u = 5*b. Let r = 110 - 109. Suppose b = y + r, -2*x = -0*y + 5*y - 189. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 69 and 76 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24)\/sqrt(2))\/sqrt(6) + sqrt(10)\/(sqrt(20)\/sqrt(4)) + 2 + sqrt(18) + -2 - (-4*sqrt(80)\/sqrt(5))\/(-1*sqrt(8)*-6))**2.\nAnswer: 578\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 6 = -4*x. Suppose 600 = x*u - 8*u. Round u to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 5*l**2 + 6*l - 4. Let z be t(4). Find the second derivative of -13 - 16*c**4 - 15*c**z - 2*c**3 - 2*c - 5*c**4 + 8*c**4 wrt c.\nAnswer: -336*c**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/9 and -139\/270936?\nAnswer: 270936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(730\/(-182) - (-4)\/1). Calculate the least common multiple of 2 and (y - -12)\/(1\/(-2)).\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5646*s - 22540 wrt s?\nAnswer: -5646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c - 1 = 0. Let n be ((-25)\/(-15))\/(c\/(-780000)). What is n rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3700198*m**3*x**3 + 30*m**3*x - 2*m**3 - 2*m**2*x**2 + 4*m**2 + 63*m*x**2 wrt x.\nAnswer: -22201188*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -2*y, 503 = -4*v - 5*y. Suppose -2*x - 2*x = -16. Is x\/((-4)\/v) - 0 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 742747 + -331658. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1939371 take away -0.76628?\nAnswer: -1939370.23372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**5\/60 + q**4\/12 - q**3\/2 + 4*q**2. Let x be n(-4). Let z = 2 + -2. Solve 5*h + 2*o = -z*o + 19, -2*h + 25 = -x*o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 2*k + 5*i, 3*i + 3 = 3*k. Let h be k\/(-12) - 10\/(-120)*9. What is the nearest to h in -2\/3, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -480680 to the nearest 10000.\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(36)\/sqrt(144))\/(sqrt(2)*3*-6))**2.\nAnswer: 1\/648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 + -17. Let a = -55 + n. Let d = a + 10.000038. What is d rounded to 6 decimal places?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (1 + 0) - -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -59952, -59951, -59948, -59943, -59936?\n\"Answer: d**2 - 2*d - 59951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 5*r - 10. Let o(x) = -x**3 - 9*x**2 - 6. Let q be o(-9). Let w be s(q). Calculate the highest common divisor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m + 1. Let f be o(-1). Let n(s) = s**2 - 3*s - 4. Let i be n(f). Solve -33 = 5*t - i*t + 4*p, -3 = t - p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 d when two letters picked without replacement from {s: 1, d: 1, b: 1, k: 2, t: 1, n: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by (120\/28)\/((-22)\/(-7) + -3).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 163 = 166. Calculate the greatest common factor of 131 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32786740517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/22 + 3044\/44 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -15*g**4 + 635181*g**3 - 6755075550*g**2 + 651956940672*g - 259702004832 = 0.\nAnswer: 2\/5, 97, 21124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0) + 7 + -23 + 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u + 2*u - 9*u)*(-268*u + 1447*u + 470*u) in the form l*u**2 + k*u + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -34. Let r = -11 + s. What is the third derivative of -117*g - r*g**4 - 5*g**2 + 117*g wrt g?\nAnswer: -216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-20))\/((((-15)\/20)\/(-1))\/(-69))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 6 = 0, -4*c - 2*p + p - 1 = -0*p + 7 + 74 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1088 + -434. Let j = b + -414. Suppose -27 = -3*d - 9. Calculate the least common multiple of d and j.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24451302 (base 6) to base 2.\nAnswer: -10111111100000010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 10 = z, b - 2 - 2 = -z. Suppose -q + z*o + 212 = 3*o, 4*o - 12 = 0. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.504.\nAnswer: 2.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1036 + 6.1036. Let k(l) = l**3 - 5*l - 3. Let m be k(0). What is the smallest value in p, m, 1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a second in milliseconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.6891059nm?\nAnswer: 0.00000006891059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 190404825?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47 + -1932802.\nAnswer: -1932755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + (-4 + -2 + sqrt(11) - 4*sqrt(77)\/sqrt(7))**2).\nAnswer: 144*sqrt(11) + 528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((-16)\/(-6))*-8. Suppose b*a - 2954 - 28 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 5)*(-1 + 1 - r) + (1 + 0 + 1)*(5*r - r + 2*r).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1160 - -60244\nAnswer: 61404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*r - 204*r + 110*r.\nAnswer: 32*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 2, -1.4, 0.1, 0.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 844 by 422.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/8 (b) 0.07 (c) -786\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*l**2*o**3 + l**2 + 8*l*n*o**3 - l*o**3 + 4*n*o**2 - 24*o**3 - 1759*o**2 wrt o?\nAnswer: -60*l**2 + 48*l*n - 6*l - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -51 in 2\/3, -11, -2\/3, -0.11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 3.3 (c) -26 (d) -0.5 (e) 0.1 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 + 0*a - 1561 + 6967 - a + 22706.\nAnswer: -a**3 - a + 28112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 11, 22, 47, 92, 163?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 739*w + 724*w + 722*w - 2191*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6462 is divided by 3185.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -5. Let i = -3 + 3. Suppose -4*b + a + 1 = -3, -z*a = i. Solve 2*o + b = 2*n + 3, 4*o - 3 = 5*n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3749939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z + 79. Let b be y(-21). What are the prime factors of 1359\/2*b\/(-13)?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 4*c**2 + c + 4. Let y(h) = 5*h**2. Let z be y(1). Suppose 4 + 11 = -z*f. Is 5 a factor of o(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 449 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*y = 0. Suppose 3*g + g - 16 = y. Let c(o) = -o**3 + o**2. Let s(k) = -5*k**3 + 4*k**2. Let b(t) = g*s(t) - 22*c(t). What is p in b(p) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - (-35)\/(-15))\/(4\/(-54)). What is the remainder when (-3542)\/(-21)*j\/(-6) is divided by 65?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.05 (b) 4 (c) -0.21 (d) 0.3 (e) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58*(-3)\/(-24) + 6 + 0?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(110) + sqrt(110)*3 - sqrt(110)))\/(4*sqrt(20)\/sqrt(2) + sqrt(10))*-6*1)**2 + 2.\nAnswer: 57074\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k + 115. Let f be s(11). Round f to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 12:08 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160440 by -120.\nAnswer: -1337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 0 - 5*p + 4*p - 2. Let j(t) = t. Suppose 12*z - 2 = 13*z. What is z*j(u) - r(u)?\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**6\/40 + l**5\/5 - 5*l**4\/8 + l**3 - l**2 - 3*l. Let q(v) be the first derivative of j(v). Determine f so that q(f) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-3 + 1 - -11)) + 267 + -271.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -3395 and -3389 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 2503884?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.681226 and -0.4.\nAnswer: 1.0724904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/5)*s*s*s**(-2\/7))**(-17)\/((s\/((s*s**5)\/s*s)*((s**(8\/7)\/s)\/s)\/s)\/((s**(-1)*s)\/s*(s**(-2)*s)\/s*s)) assuming s is positive.\nAnswer: s**(-612\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -431*0.4.\nAnswer: -172.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 4.4. Suppose 33 - 9 = 6*v, -3*o - 2*v = -14. Which is the fourth smallest value? (a) o (b) h (c) -4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01971757727 to 4 decimal places.\nAnswer: 0.0197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -33*s**5 - 38*s + 117. What is the derivative of c(y) wrt y?\nAnswer: -660*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 25 = -z, 5*b - 5*z = -35. Let g = -25 - -36. Sort 5, g, b.\nAnswer: b, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 264128453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -4*a - 15. Suppose 3*r + 8 = a*r. What is the third derivative of 2*h**5 + 3*h**5 - r*h**2 - 2*h**2 wrt h?\nAnswer: 300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200, 1008, 2354, 4238?\nAnswer: 6660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/181706 or 1?\nAnswer: -3\/181706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -71 + 1?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5978597188?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*g - 2 + 0 = 0, 4*g = 4*j. Solve -2*z + 0*a + j*a + 8 = 0, -4*a - 11 = -3*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7408 - 7408.3. Put -0.06, d, -0.7, -1 in increasing order.\nAnswer: -1, -0.7, d, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3143063 + 436869779\/139. Let d = 2451250\/22379 + i. Let q = d - 2\/161. What is the common denominator of q and 53\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*x**3 + 25*x**3 - 3*x - 55*x**3 - 2*x**3 + x**3 + 3*x**3 + (3*x - 4*x + 5*x)*(0*x**2 + 0*x**2 + 2*x**2) - 2*x**2 + 2*x**2 + 2*x**3.\nAnswer: 8*x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49408.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00046219 rounded to 5 decimal places?\nAnswer: -0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - r**2 - 8*r + 3. Let y be i(5). Let z(g) = -g**3 + 13*g**2 - 29*g + 11. Let l be z(10). What is the greatest common factor of l and y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -403, 648, -1\/6, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 154\/(-14) - (1 + 2). Let m be (-22)\/(-154) + (-124)\/w. Solve 0 = -2*g + m - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 9:55 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 3*z - 29 - 1, -z - 10 = -3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x - 13. Let h be s(-3). Suppose -h*c + 18 = c. Solve -l = -4*g - 7, 0 = -4*g + 7*l - 2*l - c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -58702 + -188?\nAnswer: -60001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -4. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3327633015 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + x = -20. Suppose 2*g + 10 = 4*g, 4*g = x*p - 60. Let l = 204 + p. Calculate the highest common divisor of 28 and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4694 or -4695?\nAnswer: -4695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5086502 minus -0.651655?\nAnswer: -5086501.348345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 836 - -19.\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -2. Let v = 119.8 - 123.8. Which is the second smallest value? (a) -0.3 (b) v (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 28 - 1. Suppose 11 = m*u + 8. Which is the nearest to -2\/7? (a) 0.4 (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16031643, -16031642, -16031641?\n\"Answer: l - 16031644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48355 or -48354?\nAnswer: -48354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 390997729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -320, -296, -274, -254, -236, -220, -206?\n\"Answer: -k**2 + 27*k - 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 2*y**2 - 2*y**2)*(0 + 0 - 2*y)*(1 - 1 + 2) - 67*y**3 - 21*y**3 - 61*y**3.\nAnswer: -141*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 3 - (5 + (7 - 6))) + -127 + 206?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one fifths of a decade?\nAnswer: 744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -462 divided by -7?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*v = 119 + 28. Is v at least 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 219.8 in -8.4, 2, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 604123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.316 and -149108.\nAnswer: -149108.316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 982 + 17765 + 20413. Calculate the highest common factor of p and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2 - 6*x - 3. Let v(r) = -7*r**2 + 11*r + 7. Let w(f) = -5*q(f) - 3*v(f). Let b be (-10)\/(-4)*(5 + -3). Determine w(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -120260, -240510, -360744, -480962?\nAnswer: -601164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 19*k**4 + 111*k + k**2 + 3*k**3 - 104*k - 3 to the form f*k**3 + l*k + n*k**2 + v + q*k**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/23, -461, -2\/9?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f**3 - 27*f**2 - 20*f + 30. Let m(w) = 6*w**3 + 28*w**2 + 23*w - 31. Let n(p) = 6*m(p) + 7*q(p). Determine n(21).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.09 + 0.01. Let m = b - -2.9. Let f = m + -6. Which is smaller: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21534 and 35793?\nAnswer: 2648682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1993852 divided by 498463?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttccc. Give prob of sequence cc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.914883 months to decades.\nAnswer: 0.082624025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 132563 and 132565 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in fourty-eight sevenths of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 a, and 1 x when three letters picked without replacement from {x: 1, l: 2, j: 1, a: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -7*o**3\/6 - o**2\/2 - 4*o. Let t(w) = -1. Let i = 699 - 698. Let a(q) = i*t(q) - p(q). Let d(u) = 2*u. What is d(a(h))?\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 15*p**2 + 13*p. Is k(-16) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 + 107*x - 31*x - 56*x**2 + 56*x**2.\nAnswer: -x**3 + 76*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/33 + (-175)\/(-55). Suppose -2*c = c - 42. Suppose c*p - 15*p + 4 = 0. Solve -p*z = -z + j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 204.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 77 = 22*w. Sort 11, 0, w in ascending order.\nAnswer: 0, w, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*d + 56 = 196. Suppose t - c + 2 = 0, 2*t = 5*c - 5 - 11. Suppose -2*w - w + 2*s = -479, -d*w + t*s = -793. Is w 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 918?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1312 = 26*f - 664. Calculate the highest common divisor of 133 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -0.2. Let p = 0.057 + -0.017. Let t = p + 3.96. Which is the closest to -1? (a) k (b) t (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 3, -5, 442?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -24*f - 169. Let j be w(-14). What is the greatest common divisor of 334 and j?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1 = -1. What is the smallest value in 3, 2\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -5) + 10 - (0 + -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 1)*(3*d - 2*d + 0*d)*(4*d - d - d).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 0*q + 4*q)*(-4 + 4 - 2) + q - q + 2*q in the form r*q + c and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*(-1*(1*sqrt(2592) + -1) - (-5 + (sqrt(2592) - (sqrt(2592) + 4 + sqrt(2592) + 2)))))**2.\nAnswer: 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.734 - -9.402. Let y = 0.136 - r. Is y bigger than 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*q + 3*s = 24*q + 44, 10*q - 14*q + s - 31 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 76*g. Let n(x) = -2583*x. What is 205*k(d) + 6*n(d)?\nAnswer: 82*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, 4, 10, -1401 in ascending order.\nAnswer: -1401, -66, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -130695?\nAnswer: -1\/26139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15706 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 2*d + 15, -3*d - 59*h + 20 = -60*h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 1683 = -6*d + 1702 - 3346, 5*d - 4*h = 34 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3200 + 5303. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*k**2*m**2 + k**2 + 2*k*m**2 + 2*m**2 + 265 wrt m?\nAnswer: -40*k**2*m + 4*k*m + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 - h**2 - 4*h. Let r be (1 - (-2)\/(-5))\/((-1)\/(-5)). Suppose 18 = -r*a + 9*a. What is i(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 11:57 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.14 + -16.84. Let z = a - -13.8. What is the third biggest value in z, -4, 1\/6, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*j = -68*j + 3740. Let q = -702\/37 - -16297\/740. Find the common denominator of (-66)\/(-8) + (j\/44 - 4) and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18 (b) -5 (c) -3 (d) 1\/3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, 9, 1\/2, -19?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**6\/120 + 2*s**5\/15 - 5*s**4\/12 + s**3 + 7*s**2. What are the prime factors of h(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*s - 16 = 0, 5*k - 3*s + 7*s = 7. Solve 0 = -k*w - 3 - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 l, and 1 v when four letters picked without replacement from {v: 3, i: 2, l: 1, c: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -32 - -2 - (-1187 + 1215)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.939 + 644.471. Round l to the nearest 10.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*j + 4*j + g + 22, -966*j + 971*j + 6*g = -56 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-2 - -3)) + (65 - 54) - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-2 - 1 + 1)*(t**4 + 2 - 2).\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -133*x + 6. Let f be y(-2). Let d be 94\/(-68) + (-32)\/f. Sort d, 4, 2\/35, 2 in descending order.\nAnswer: 4, 2, 2\/35, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/c**10)\/c*c\/((c*c\/c**(-28))\/c*c*c)*c)\/(c**(7\/4)*c**(7\/5)) assuming c is positive.\nAnswer: c**(-823\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwllswllz. Give prob of sequence lb.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 + 13*u - 1. Let w be t(-7). Let m be (-3)\/w*4 + 3. Solve -3*y - s = 3*s + 32, 0 = y - s - m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7)*(y*(y**3*y)\/y)\/y)**(3\/22) assuming y is positive.\nAnswer: y**(57\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmcmmm. What is prob of sequence mmmc?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 139 + -131. Let w be (-21)\/(-24)*p\/28. Let -r - w*r**3 + 0 + r**2 = 0. Calculate r.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2369 divided by 6.\nAnswer: 2369\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from syl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -121 - -118. Let t be -3*((-7)\/(-3) + -1). Let s be 1650000\/(b*1) - 0\/t. What is s rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 38742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -249983*m**3 - m**2 - 29712 wrt m?\nAnswer: -1499898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*y - 1965 = 0, k - 5*y + y = 496. Suppose 4*g + k = 2*c, 647 + 337 = 4*c + 5*g. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 11) + (-6 - 4) + -25 + 5?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*d + 4*d = -103, -2*d - 86 = -4*z. Suppose 6*p - 1079 = -119. Calculate the greatest common factor of p and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4306*f**3*x**2 - 12*f**3 + 5*f**2*x + f*x**2 - 50 wrt x?\nAnswer: -8612*f**3 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-19))**(-49) assuming a is positive.\nAnswer: a**931","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 259143 or 259208?\nAnswer: 259143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*p + 1 + p)*(-2*p - 4*p + 4*p) + (-2158*p - 5510*p + 3168*p)*(p + 3*p - 3*p) to n*p + t*p**2 + l and give t.\nAnswer: -4498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 945 and 420.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77))\/sqrt(11) + 5.\nAnswer: sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1400 + 5*h**2 + 593 - 474 - 310*h + 0*h**2 + 161.\nAnswer: 5*(h - 56)*(h - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*v**3 + 24*v**3 - 32*v**3.\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24a96 (base 11) to base 16.\nAnswer: -8c51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-33)\/(-4))\/11)\/(20\/(-4800)*5*153).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/4 - 7\/12. Which is the closest to i? (a) -3 (b) 0.3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 - 1314*n**2 + 102384*n - 1889568.\nAnswer: -2*(n - 36)**2*(n + 729)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 961, 902, 843, 784, 725, 666?\n\"Answer: -59*g + 1020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**3\/3 + 15*u. Let j(v) = 28036 - 28036 - 9*v. Calculate j(k(i)).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1794.132 rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 1. Let c(i) = -10*i - 10. Let d(h) = 4*c(h) + 36*y(h). Let x be 22\/(-4) - (-3)\/6. Is 4 a factor of d(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51\/259 - 2\/37. What is the nearest to 0.1 in -3\/8, 2, r, 2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6235)\/(-25) - 12\/(-20). Differentiate -35 + 20*s**4 + 5*s**4 - 20 + m*s**3 - 248*s**3 with respect to s.\nAnswer: 100*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwwwwbb. What is prob of picking 3 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 76, 116, 146, 160, 152, 116, 46, -64?\n\"Answer: -m**3 + m**2 + 44*m + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*q - 2588 = 12612 for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -14*p**3 + 14*p**2 - 8*p + 63. Let r(w) = 5*w**3 - 5*w**2 + 3*w - 21. Determine 3*c(k) + 8*r(k).\nAnswer: -2*k**3 + 2*k**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1155876?\nAnswer: 2, 3, 96323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (175\/(-10))\/(-7) - 2. Factor -1\/4*f + 1\/4*f**2 - l.\nAnswer: (f - 2)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2987658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g**2 - 8. Let b(z) be the second derivative of z**4\/12 + 3*z**2\/2 + 10*z + 1. What is 8*b(i) + 3*m(i)?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5929 - -6226. Calculate the remainder when x is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j**3 - 41*j**2 - 562*j + 8. Determine i(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.3 (b) 4\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -75a5 (base 11) in base 2?\nAnswer: -10011100110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20004 - 20011. Which is the biggest value? (a) -0.1 (b) 0.3 (c) 3 (d) g (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 4.705969485177?\nAnswer: -2.705969485177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 u, and 1 y when four letters picked without replacement from {y: 3, v: 4, u: 5, q: 1}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -9*s + 9. Let p be g(-2). Suppose -2*h + p = -19. Let d(k) = 18*k + 2 - 2 - h*k. Let a(c) = -c**2. Determine a(d(t)).\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2891.7 + -2892. What is the nearest to -1 in 1\/4, c, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384697149.\nAnswer: 3, 23, 281, 19841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4223138 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878479860?\nAnswer: 2, 3, 5, 31, 472301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**3*x**3 + 28*w**3*x - 3*w**3 - 21*w*x**3 - 2*w*x**2 - 7*x**3 wrt w?\nAnswer: 6*w*x**3 + 168*w*x - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + (-2 - 1 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.35 + -43745.13.\nAnswer: -43741.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by 40809?\nAnswer: -25\/13603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 376649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/o**(-2))*o**6*(o**(-2)*o)\/((o\/(o*o**(-1\/5)*o))\/o) assuming o is positive.\nAnswer: o**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1448 or 2818665\/1946?\nAnswer: 1448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2121000130 - 21130?\nAnswer: -2121021320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16715.\nAnswer: 5, 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -44. Let j = l - -40. Calculate the smallest common multiple of 12 and (-8)\/(-24) + (-106)\/j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(72)*-1)\/sqrt(8))\/(2*(sqrt(3) - -2*sqrt(3)*-1)).\nAnswer: 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 11:00 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 2*q + 6, -15 = -5*p - 2*q - 3*q. Which is the nearest to p? (a) 4 (b) 2\/3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 213 + 1?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9901 + -148433\/15. Let r = 24\/5 - k. Let u be (-6)\/(-27) - 33\/(-216). Which is the closest to r? (a) 2\/13 (b) -3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71900819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/17826 and -87\/5942.\nAnswer: 17826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202673 is divided by 2502.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 8*r**2 + 4*r - 6. Calculate x(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f + 14. Let w be (4 + -1)*(f - 3). Suppose -w = -3*n - n. Solve -n*o + 0 = -12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33860 + 21935. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -2, 4 in ascending order.\nAnswer: -5, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -22.5 (b) 2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 6*y**2 - 6*y + 2. Let w be q(7). Let u(l) = l**2 - 7*l + 8. What is the units digit of u(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-738)\/(-17589))\/((-8)\/(-22)).\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**3 + 46*l**2 - 33*l**3 - 11*l**2 wrt l?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14872727568 rounded to 3 dps?\nAnswer: 0.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 13*r**3 + 5*r**2 + 8*r - 9. Let k(g) be the first derivative of -3\/4*g**4 - 1\/3*g**3 + 2*g - g**2 + 10. What is 9*k(p) + 2*n(p)?\nAnswer: -p**3 + p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by -10.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -0.4, 5, 6\/5, 17 in descending order.\nAnswer: 17, 5, 2, 6\/5, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -189 - -191. Suppose -u*v = -3079 - 9199. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -7*u**5\/24 - u**4\/8 + 2*u**3\/3 - 8*u**2. Let q(r) be the first derivative of a(r). What is the tens digit of q(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*t = -191. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2953, 9042, 25415, 57214, 109581, 187658, 296587, 441510?\n\"Answer: 857*d**3 + 90*d + 2006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 8 - 1 = 0. Let h(y) = y**3 - y**2 + 2*y - 2. Let i be h(2). Let c = i - m. Are -4 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(187)*1)\/sqrt(11).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 12 - 7)*(-6*m + 4*m + 3*m).\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 - 72*u**2 - 159*u - 74. What is s(-33)?\nAnswer: -1361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + -63. Let j = m - -21. Suppose f - u = j, 2*f - 5 = u + 1. Solve -4*l = -4*k + k - f, k + 14 = -5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.2, -0.01126, -2?\nAnswer: -0.01126","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2949 - -774. Let j = q + 1189. Is (-20)\/(-90) - j\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*w + 19 = l, 0 = -5*l - 2*w + 4. Solve 4*j + 3*c = 4, 0*c - l*c = -2*j + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -423448.7 and 4.\nAnswer: -423444.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 2, c: 1, g: 1, u: 2, d: 1}. Give prob of sequence lu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 176 divided by 44\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92852?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**4 - w**3 - w**2 + w - 1. Let m(j) = -2*j**4 + 9*j**3 - 17*j**2 + 15*j - 4. Let p(t) = 4*m(t) + 4*u(t). Factor p(x).\nAnswer: -4*(x - 5)*(x - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 152.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*d + 560 - 560.\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*p, -6*u - 24 = 3*p - 33 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 311411665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j - 6. Let x be l(12). Let d = x + -13. Which is bigger: -6 or d?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25429467*c**2 - 25510167*c.\nAnswer: 50858934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -17. Suppose 9*u = v*u + 150. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-9))\/(1\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55519 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * 3\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 4. Let v = 5 - -7. Is v\/d*(-37)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -398, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t - 2*t - t + (3 + 0 - 1)*(-3*t + 2*t + 0*t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-6) + (-209)\/(-6). Solve 4*u + 5*g = -w, 4*g + 2 = -10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.1, -0.008, -3\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25997?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, 43, 149, 347, 667, 1139, 1793, 2659?\nAnswer: 3767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - -151 - 91) + -1?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3306*a**2 + 2*a - 5. Let o be n(2). Let r = 158813\/12 + o. Find the common denominator of -38\/11 and r.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**3 - 5*y**2 - 2*y - 2. Determine r(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (390\/275)\/(-13)*-22*30\/180?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3783.\nAnswer: 3, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 6. Let q be k(-2). Let o be (q\/3)\/(22\/(-33)). Suppose 5*n - 69 = -3*p, -2*p + o*n + 12 = -12. Is p a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4188 or 4096?\nAnswer: 4096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/5)\/(-4)*1. Which is the nearest to -0.2? (a) 0 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.353 rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 6 = 2*z - 5*v, 3*z = v + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -0.2 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6552 + 2184. Suppose 15*y - t - 729 = 0. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-259*u + 395*u - 201*u)*(5*u - 2*u - u)*(-2 + 1 + 2).\nAnswer: -130*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 8:50 AM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or 103401?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*l - 2. Suppose -l*w = 4*r + 4, -2*w = -3*r - 1 + 33. Let b be ((-24)\/20)\/((-3)\/w). Let g(y) = y**2 + 3*y. Determine g(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1, 1210, 3245, 6110, 9811, 14354, 19745?\n\"Answer: z**3 + 406*z**2 - 14*z - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 12 = -2*p. Let u = 5 + 0. Let y be (-4)\/18 + u + -5. What is the third biggest value in y, -5, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283299?\nAnswer: 3, 94433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 2818.8460477 and -3.\nAnswer: 2815.8460477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2688\/11 + 1992\/11*a**2 + 4016\/11*a + 324\/11*a**3 - 2\/11*a**4.\nAnswer: -2*(a - 168)*(a + 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81923882581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-126)\/(-216)*3*-1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f + 10. Let w(i) = -5*i + 15. Let r(g) = 8*u(g) - 5*w(g). Let h be r(-5). Let b = 0.707 - 1.207. Sort h, b, 2\/13 in increasing order.\nAnswer: b, h, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 4 + (1 - -6) - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5 - 46102*x**4 + 265559022*x**3 + 1328625062*x**2 + 1860388640*x + 797368704 = 0 for x.\nAnswer: -3, -1, 11528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -87754631 and -9.592.\nAnswer: -87754640.592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 19*p + 117. Let z be c(-6). Sort z, -51, -3 in ascending order.\nAnswer: -51, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -6*c**3 - 10 + c**2 - 13*c - c**2. Differentiate z(q) with respect to q.\nAnswer: -36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from ccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 61291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, -1, 11, -239, -2 in increasing order.\nAnswer: -239, -2, -1, 5\/3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -6 (c) -2 (d) 4\/36131 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c5 + c64?\nAnswer: 1459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 38.1, 16, -0.3, -3, 21.\nAnswer: -3, -0.3, 0.2, 16, 21, 38.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(4500)*-2)\/((-2*sqrt(729) - sqrt(729) - sqrt(9))*5).\nAnswer: -4*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 9*d**2 + 7*d - 6. Let h be g(-8). Let n be h\/1 - 7857\/(-99). Let i = 81 - n. Is -1 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15, -72, -225, -522, -1011?\n\"Answer: -8*x**3 - x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -65622.17 + 3\nAnswer: -65619.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 5:43 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -5*u + 75 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 224101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26*(-2)\/(-36)*6\/(-2). Let w = -4 + 0. Is h not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**2*n**1*n**(6\/11)\/(n**(-33)\/n) assuming n is positive.\nAnswer: n**(413\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107415 divided by 693.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 282 - 279. Let p(z) be the second derivative of 0 + 0*z**2 + 1\/4*z**4 + b*z + 1\/2*z**3. Factor p(m).\nAnswer: 3*m*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.404 (b) 474\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 15*w**2 + 25*w + 22. Determine m(13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2804.76 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = d, -2*a - 4*d = a + 7. Let m = -23 + 19. What is the nearest to -2 in a, m, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 8:04 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1672 + -626. Is c 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 20 and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 2*i + 2, -4*m + 2*i = -2*i + 16 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.003 * 527\nAnswer: 1.581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6250899 + 0.6244. Round n to five decimal places.\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 1:45 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.001 (b) 5 (c) 0.1 (d) 9.9 (e) 0.5 (f) -9 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 206455984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, k: 10}. Give prob of picking 2 k.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -9, -24, -47, -78, -117?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.547 - 4.547. Is -4913 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -4, -6\/5, 5, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -135, -268, -403, -540, -679, -820, -963?\n\"Answer: -y**2 - 130*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-3))\/(54\/(-78))*(-3)\/(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((1 - 2) + 1)\/(-2). Suppose 7*m + 0*m = 357. Suppose 41*i - m*i = 0. Solve 2*k + i*k + 6 = g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a hour in seconds?\nAnswer: 48240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327 = -44*u + 19. What are the prime factors of ((1129 - u) + -1)\/(3\/3)?\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -2. Let d(m) = -4*m**2 - 3*m**3 + 4 + 2*m**3 + m + 7*m**a. Let x be d(3). What is the highest common divisor of x and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 69320 and -0.0339.\nAnswer: -2349.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 3\/5, 5, -5, 3\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q. Let w(h) be the first derivative of -64*h**3\/3 - 459. What is n(w(d))?\nAnswer: -384*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 473.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1468014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 8) to base 12.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.164 + -0.334. Let k = n - -3.17. Let o = 0.06 + 0.24. Which is the third biggest value? (a) 1\/3 (b) 0 (c) k (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 16*r = -5*h + 32, -1336*r = -4*h - 1332*r - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjjz when four letters picked without replacement from zjzjjj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 183851.15 to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 7 = -y - 2*t, 3*t = -2*y - 1. Suppose 1 = a, 4*o - y*a + 2240002 = -2*a. Round o to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(19) - sqrt(19)*-2) + 2 + 5 + (3 + sqrt(19))*5)**2.\nAnswer: 384*sqrt(19) + 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/(1480\/48)*2*(-10)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 294 = 3*n + 4*g, -12*g + 100 = n - 10*g. What is the lowest common multiple of n and 14?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 33388 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, -2\/9, 1, 0.7, 621\/49, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + -1)\/((9 - 0) + -15). Let d(q) = 2*q**3 + q**2 + 3. Let n(r) = -r**3 - r**2 - 1. Give b*d(m) + n(m).\nAnswer: m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 7:23 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11639.75l in millilitres?\nAnswer: 11639750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -118.5 - -118. Let p = 4 + 0. Let j = 46 - 95\/2. Sort j, b, p in decreasing order.\nAnswer: p, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31.2 and 81.\nAnswer: 2527.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 5, 1, -8, -4, 0.179, -2 in ascending order.\nAnswer: -8, -4, -2, 0.179, 1, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2179, 4436, 6699, 8980, 11291?\n\"Answer: 2*v**3 - 9*v**2 + 2270*v - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -33479\/2, -10\/7, -3 in increasing order.\nAnswer: -33479\/2, -3, -10\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 a factor of 217894626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3226 - -3221. Let y(q) = -q**2 + 4*q + 5. Let p be y(5). Let m = p - 1. Which is the third biggest value? (a) 4 (b) k (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -95665507*f*q + 354370952*f with respect to q.\nAnswer: -95665507*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40 + 39)*(-47)\/6)\/(-11 + (-1876)\/(-168))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, n: 6, z: 4}. What is prob of picking 2 z and 2 j?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 22*h**2 - 2*h + 60. Let o be w(-22). Calculate the greatest common factor of o and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/20*5*(3 - 1). Suppose -t*y + 4*l + 200 = -2*y, -5*y = l - 500. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1619.02605 to the nearest ten.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 362*f - 7962. Calculate u(21).\nAnswer: -801","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-5)*(-65)\/39?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1837, -1886, -1947, -2026, -2129?\nAnswer: -2262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 22.1. Let x = m + 5.1. Let l = -6 + x. Which is the closest to l? (a) 2\/13 (b) 0.3 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12412401223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 742193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 5:06 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*w**3 + 4*w**2 - 48*w**3 - 4*w**2.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 1 + 1)*(1 - 2 + 0) - 5 + 3 + 5*m + 3.\nAnswer: 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**6\/1620 - 4*f**3\/3 - f. Let j(g) be the second derivative of h(g). Factor j(k).\nAnswer: -2*k**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 2\/13, -2\/3 in ascending order.\nAnswer: -2\/3, 2\/13, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -52*z - 15. Let b be r(4). Let y = b + 385. Is 27 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(175)*-2)**2*2.\nAnswer: 1400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 934 and 8419.\nAnswer: 7863346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**5*f + 2*b**5 - 7*b**3*f - 5*b**2*f + 8*b*f wrt b.\nAnswer: -60*b**2*f + 120*b**2 - 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 166*p**3 - 159*p**3 + 120*p**3 - p**2.\nAnswer: 127*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2. Let h(k) = 2206*k**2. What is h(o(t))?\nAnswer: 2206*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v + 3. Let r be (3 + -4)\/((-1)\/2). Let c be o(r). Let u = c + 26. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001478886358 rounded to 6 dps?\nAnswer: -0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 18. Differentiate -3*d + d - 7 - r*d wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -109834, -219628, -329418, -439204, -548986, -658764?\n\"Answer: 2*o**2 - 109800*o - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3654 - -3766. Let t(r) = 3*r**3 - 2*r**2 - 2. Let d be t(2). What is the highest common divisor of s and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530 a factor of 157918800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4) - (-17)\/26. Let v = 0.08 + 3.92. What is the third biggest value in -1\/4, t, v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + -2. Let u(r) = r**2 + 7*r - 8. Let d be u(m). Suppose -3*w + 41 = -y, d*w + 2*y - 30 = -2*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2222012202010 + 1012?\nAnswer: -2222012200221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -141c + 5?\nAnswer: -1417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from xxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 13 = 7*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 2*k + 2*k)*(0*k**2 + 3*k**3 + 0*k**2) + 2*k**4 + 0*k**4 - 3*k**4 + (-2*k**3 - k**3 + k**3)*(3 - 3 + 2*k).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.09 + -0.91. What is the closest to t in 0.2, -0.2, 0.4, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)*1 + sqrt(140))*3)\/(1*sqrt(720) - sqrt(5) - (sqrt(5) + -1*(sqrt(45) + sqrt(5)))).\nAnswer: 6*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2530 and 374220?\nAnswer: 8607060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001662 to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52556 (base 14) to base 12.\nAnswer: 96b40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -5. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - n - 28, n + 3 = x - 4. Calculate the smallest common multiple of x and 886.\nAnswer: 6202","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -4\/7, 212\/5, 0.3, -457, 4, 3\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from heeeehhheee.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/24, 34 in decreasing order.\nAnswer: 34, 1\/24, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 0.4, 1.3611 in ascending order.\nAnswer: 0.4, 4\/5, 1.3611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s*z**4 + 95*s*z + 200*s wrt z.\nAnswer: -4*s*z**3 + 95*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 1. Let z(d) = 3*d**3 - 3*d**2 + 2*d. Let y(q) = 2*s(q) - z(q). Let x be y(-2). Calculate the greatest common divisor of x and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f**2 - 2*f + 3. Let x(n) = n**2 - 3. Let c be x(0). What is the remainder when a(c) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 31\/(-4) - (25 - (-22 + 55)). Factor -x*f**3 + 3\/4*f**2 + 0*f - 1.\nAnswer: -(f - 2)**2*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 670 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 9*b**2 + 3*b + 2. Suppose 39 - 24 = -5*x. Let u = -11 - x. What is the units digit of p(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39, -15, 11, 39, 69, 101, 135?\n\"Answer: h**2 + 21*h - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3762 rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 41\/2 and -0.2834 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 3*u**2 + 9*u + 14. Let q be n(-6). Let b = q + -19. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 4*f + 16*f - 20*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 9*p - 1. Let g(l) = -l + 1. Let f(n) = d(n) + 3*g(n). Let h(k) = -31*k - 11. What is -11*f(o) - 2*h(o)?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 246 + 47. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13858209 divided by 4619403\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**3 - 3*h - 5. Let s be 4*((-15)\/(-12) - 2). Let n be 2\/3*s - 4. Let y be 2\/n - 21\/(-9). Let w(d) = -4*d**3 + 2*d + 4. Calculate y*o(x) + 3*w(x).\nAnswer: -2*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 + 13*n**2 + 10*n**2 + 16*n - 50*n**2 + 12*n**2 + 13*n**2.\nAnswer: -n**2 + 16*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n + 3. Let t(c) = -24*c - 1. Let i be (2 - 3)\/(-6 - -7). Let j be t(i). Let z = j - 25. Give f(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*q - 3*q + 12 = 0, -5 = -2*s + q. Sort -4, s, -3, -9 in ascending order.\nAnswer: -9, -4, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3297693491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -41*g**3 - g**2 - 10*g + 9. Let r be c(-5). Suppose 3*m - r = -p, 6*p - 2*p - 2*m = 20608. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (9 - (2 - (0 + -10)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1655791\/433 + -3824. Is 0 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 0*d - 2\/3*d**3 - 5 - d**2. Suppose s(u) = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -756857418, -756857419, -756857420, -756857421, -756857422, -756857423?\n\"Answer: -j - 756857417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.203 + 2.217. Is -1 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690541708?\nAnswer: 2, 733, 235519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**4\/12 - 401*a**2 - 3*a. Let q(u) = -6042*u. Determine q(f(n)).\nAnswer: -12084*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 v when three letters picked without replacement from {v: 2, h: 3, e: 3, u: 3, r: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.029 in 1\/3, -3454, -362, -4, 3\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 2:33 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/2 - 7*g**3 - 37*g**2\/2 + 60*g + 216.\nAnswer: -(g - 3)*(g + 4)**2*(g + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**3 - 3*a**2 - a + 2. Suppose 5*v - 5*t - 3 = 2, -t = v + 5. Let o(z) = -50*z**2 - 2 - 4 - 1 + 52*z**2 + 2*z**3 + 5. Calculate v*r(h) - 3*o(h).\nAnswer: -2*h**3 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (-6 + 5 + (0 - -2)). Solve -2*v - 20 = k*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2719*u**3 - 6409 + 6409 - 784*u**2 wrt u?\nAnswer: 16314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2866415360 to the power of 1\/3, to the nearest integer?\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 5254252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 + -2)*-5*16\/(-100). Solve o + d*q + 3 = 5*q, 3*q = 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 11:33 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 - -36. Suppose -5*h + 113 = -3*w, -4*h + 39 = -l*h + 5*w. What is the remainder when 86 is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12264 (base 9) to base 10.\nAnswer: -8239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 2:42 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*l = 126*l + 77. Let s(j) be the first derivative of 11*j**2\/2 + 4*j + 3. Let x(h) = 21*h + 7. Determine l*s(z) + 4*x(z).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 25 = 9*o. Suppose 4*w = 3*r + 14, -3*w - r = o*r - 23. Suppose -h = 2*z - 3, 2*z - w*z = 3*h - 3. Which is smaller: 7\/4 or z?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1689 - -3454. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -19. Let k = h - -16. Let t(p) = 2*p**2 - 5*p**2 + 7*p**3 - k*p**3 + 0 - 4 - 3*p. Determine t(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 5*f + 5. Let p be r(-5). What is the derivative of 4*k**3 + 7 - p*k**4 - 1 - 4*k**3 wrt k?\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (317 - 3*v**2 - 317)*(7*v + 0*v - 2*v).\nAnswer: -15*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -8849, -280?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -146, -246, -354, -470?\nAnswer: -594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b*t**2 - 4192*b*t - 1334*b + 76*t**2 + 397792*t + 2 wrt b.\nAnswer: -2*t**2 - 4192*t - 1334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2861?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221966, 443922, 665882, 887846, 1109814, 1331786, 1553762?\nAnswer: 1775742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + d**2 + 4*d - 1. Let p(c) = -c**3 + 5*c - 2. Let y be 3 + 1 + -24 + 16. Let o(l) = y*p(l) + 5*h(l). Calculate o(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164238898 to the power of 1\/3, to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 6:03 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.01 (b) -1745\/14 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u - 4*u + 3*u. Let m be 2\/3 - 20\/(-6). Let b(n) = 2*n + 4. Let y(z) = -4*z - 7. Let v(f) = m*y(f) + 7*b(f). Give v(w(a)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3218015 and 10480.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 817870045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*n - 6 = 23, -4*t - n = -31. Suppose 0 = 3*j - t, 4*l = -2*j - 0*j + 22. What is the biggest value in 3.4, l, -2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 4\/5 (c) -144\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -47679870 rounded to the nearest one million?\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15b1 (base 15) to base 9.\nAnswer: -6354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*z + 15. Suppose -z*h + o - 1 = -0*h, -5*o = -5*h - 5. Suppose h = 3*r - r - 20. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4\/3 + 2000*s**3\/3 - 591850*s**2\/3 + 43565500*s\/3.\nAnswer: -2*s*(s - 445)**2*(s - 110)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 5*p + 10. Let z be a(8). Let k be z\/4 - 1\/2. Suppose -l = -4 - k. Solve 0 = -4*q + l + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29199 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 the value of (24\/(-14))\/(((-216)\/(-63))\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27714876 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 24 = 9*z. Let j = -17\/2 + z. Let t = 1.89 + -1.82. What is the biggest value in j, t, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71684096 a multiple of 814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 + 45 = 548*g - 541*g. Calculate the smallest common multiple of 4521 and g.\nAnswer: 31647","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 591 times 1\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.5390017415 - 8.539. Round x to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -4*g + 7*g + 23 + 36, 23*f + 289 = -2*g - 3*g for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*x - 285*x - 3*t + 3 = -573*x, -2*t + 2 = 9*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or -2235?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 36 = -2*k. Let p be (-204)\/6*k\/2. List the prime factors of -4 - (1 + 0 + p).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 368550.57.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -26308*r + 26235*r + r**4 + 2*r**4 + 11*r**2 in the form u*r**2 + j + c*r**4 + q*r**3 + x*r and give x.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 4*h**2 - 5*h + 3. Let c be d(-2). Suppose -8*f + 11 = -c. What is the remainder when 2\/(-1*2\/(-18)) is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 9*q + 91. Let x be w(-6). Suppose x*c = 39*c - 480. Does 48 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5881*f**2 + 6*f + 4. Is v(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 5*q**2 + 8*q - 9. Let h be l(-7). Suppose 0 = 5*m - f + 69, f = -5*m + 3*f - 68. Let i = h + m. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5240*h + 1895?\nAnswer: -5240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*s - 485 + 1596 = -989 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -216, -348, -494, -666, -876, -1136, -1458, -1854?\n\"Answer: -2*t**3 + 5*t**2 - 133*t - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 672 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - 11320001?\nAnswer: -11320002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -5*w**2\/2 + 75*w + 155\/2 = 0.\nAnswer: -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285756 is divided by 679?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 221*u - 1596.\nAnswer: (u - 7)*(u + 228)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.091 + -0.01. Let c = j - 102.899. Let u = c + 103.00227. Round u to four decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 59236 from 0.03976229.\nAnswer: -59235.96023771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -20*f - 267 - 447 for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -360 + 659. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -5*h**4\/6 - 7*h**3\/3 + 11*h**2. Let f(d) = 7*d + 5. Give 17*f(y) + 6*o(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -9*z**3 + 11*z**2 + 7. Let o(u) = -5*u**3 + 5*u**2 + 3. Let l(a) = 7*o(a) - 3*s(a). Find the third derivative of l(i) wrt i.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 860785 (base 10) to base 2\nAnswer: 11010010001001110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-45 - -39) + 3 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 236915, 236905, 236895?\n\"Answer: -10*f + 236925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from ooooulooouoooo.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 970331 is divided by 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 528426102 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: Let x(q) = -2*q**2 - 22322*q + 2502384. Determine x(111).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*v**2 + 12*v - 24*v + 5*v - 226 + 9*v wrt v.\nAnswer: 28*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 - -2.2. Let p = 9 + -8.9. Let r = p + d. What is the second smallest value in -1, -5, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-10))\/(6\/(-2265)). Let z = k + -3923\/13. Is z less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -999358 * -0.1.\nAnswer: 99935.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 2)*(-5023 + 1680 + 11950*t + 1670 + 1673) to j + x*t and give x.\nAnswer: 11950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 27\/9*17522 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -13.08. Let y = 1.02 - w. Let i = -0.93866 + y. What is i rounded to 4 dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*t + 7. Suppose -8 = -2*z - t*z. Let p be (18\/24)\/(z\/40). Calculate the highest common divisor of p and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 2:58 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/3*((5 - 2) + -15). Suppose -q*w + 66 + 2 = 0. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3930816966 + -1.9?\nAnswer: 3930816964.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -11 + 11 + -4 + 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2315907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*c + 1. Let w be 69\/23 + -1*1. Let l be ((-34)\/(-17))\/(w\/3). Solve l*x + c = -2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -557124\/49 + 11369. Find the common denominator of n and 77\/10.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*t - 19*t - 90. List the prime factors of t\/7 + 4\/70*-5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17560*w + 4 + 17205*w - 4.\nAnswer: -355*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8)*g**(-2)*(g*g**(-1\/3))\/((g**(5\/2)\/g)\/g))\/((g\/g**(-1\/8))**42)**(-14\/9) assuming g is positive.\nAnswer: g**(191\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.527 - 294845062?\nAnswer: -294845066.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b + 12. Let c be h(-5). Let m = c - -15. Solve p + 1 = m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3162261 to the power of 1\/2, to the nearest integer?\nAnswer: 1778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4974.3 + 4977. Sort 5, b, 5\/2, -5, 1\/9 in increasing order.\nAnswer: -5, 1\/9, 5\/2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + b = -2*b + 13, -3*u = 3*b - 15. Factor 1\/2*p**2 + u + 3\/2*p.\nAnswer: (p + 1)*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k**2 - 3*k + 12*k - 9*k - 2*k**3.\nAnswer: -2*k**3 - 18*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -307, 432, 1673, 3422, 5685, 8468?\n\"Answer: r**3 + 245*r**2 - 3*r - 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21103335440 + -2?\nAnswer: -21103335442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*v + 21 = 3, -3*q = v + 18. Let u = -4 - q. Calculate the lowest common multiple of u and 10\/(-2)*48\/(-40).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/5 + -2 + (-2390)\/(-300). Which is smaller: z or 7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*z - 1. Suppose 6 = -3*b + 5*g, 4*b - z*g - 6 = -b. Let s = 36 + b. What is the remainder when s is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in 3, 3\/10, 4, 0.23, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -184898889 divided by 1503243?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2198, -2192, -2186?\nAnswer: -2180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(-19*p**3 + 35*p**3 + 10*p**3).\nAnswer: -52*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -32. Which is the biggest value? (a) -1 (b) u (c) 2\/5 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 378.54 to the nearest ten.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -67 + -59?\nAnswer: -c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v**3 - 45*v + 45*v)*(4*v + 0*v - 2*v + (-483*v + 2573*v + 113*v)*(3 - 4 + 3)) to the form a*v**3 + s*v + d*v**2 + u + b*v**4 and give b.\nAnswer: -13224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*x**2 - 7*x**3 + 23*x**2 + (2*x**2 - 1 + 1)*(4*x + x - 6*x).\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ylyy when four letters picked without replacement from wwwlwywyywwwwlwwyyww?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60054 and 174.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 138354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -440, -1033, -1862, -2927?\nAnswer: -4228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*k**3 + 123*k**3 - 23*k**3 + 103*k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -348759, -348732, -348695, -348654, -348615, -348584?\nAnswer: -348567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 102579294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 - 10*q**2 + 8*q.\nAnswer: 2*q*(q - 4)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*((sqrt(1584)*1*-3)**2 + (0 + sqrt(1584)*1)**2) + 5).\nAnswer: 15845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-2)\/(-10)*1). Let l = 407685 - 20790802\/51. Let v = -67\/3 + l. Sort v, 0.4, r.\nAnswer: r, v, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + (sqrt(180) - ((sqrt(180) - sqrt(180)*2) + sqrt(180))) - sqrt(180) - sqrt(180))\/(sqrt(10) + -1*sqrt(1000) + sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from gkiwkxi.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tssscstqmmstsqt. What is prob of sequence mst?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z - 12. Determine m(6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 90 = -4*d - d, 15 = 3*v. Let c = d + 1. Suppose 0 = 4*l + q - 0*q - 119, 3*q + 15 = 0. Calculate the remainder when l is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2492914656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*4\/(-6)*6\/4. Let q = -0.3 + 0.1. What is the third smallest value in q, 3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*h - 8*h + h - h + 0*h + 2*h + 14 - 14 + 10*h + 5*h - 3*h - 3*h + 2*h + h - 4*h + (0*h + h - 3*h)*(3 + 2 - 4) + 0*h - h + 2*h)*(h + h - h).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548393 is divided by 1552?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2316688*x + 2418759?\nAnswer: -2316688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/9 + 157574*z**2\/3 + 472723*z\/9.\nAnswer: -z*(z - 472723)*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 divided by 172?\nAnswer: 133\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f. Suppose x - 14 = 17. Let z(d) = x - 31 - 4*d. Calculate o(z(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/184 and -39\/1081.\nAnswer: 8648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/3 - 152*b - 10150\/3.\nAnswer: -2*(b + 25)*(b + 203)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 461742684 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 27 + v**3 - 73*v + 19*v + 36*v**2 + v**4 - 7*v**3 - 4*v**3 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**5\/20 - 131*a**3\/6 + 73*a. Let q(h) be the second derivative of r(h). Let m(d) = 27*d. Calculate q(m(x)).\nAnswer: 162*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(((-1881)\/18)\/(-19)). Let p = 3\/11 + 7\/55. Sort -0.3, o, 2, p.\nAnswer: -0.3, o, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(-14\/3))*t*t*t**(-1\/10))**(1\/2) assuming t is positive.\nAnswer: t**(-83\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192*a + 68*a + 92*a = -4480. Sort 3, 12, a.\nAnswer: 3, 12, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15360 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -419*q. Let a(o) = 7*o**2. Give r(a(j)).\nAnswer: -2933*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 2:17 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11\/399 - 1069\/1596. Find the common denominator of -65\/54 and b.\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a - 9. Suppose 0 = 5*x - 18 + 78. Is t(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 14*t**3 - 66*t**2 + 20*t + 54. List the prime factors of j(11).\nAnswer: 2, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 3*g - 142*g**2 + 300*g**2.\nAnswer: 158*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1749*r**6 - 82*r**2 - 12*r - 2?\nAnswer: -209880*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(((-15)\/(-27))\/(-5)). Let s = 109 - 73. What is the highest common divisor of z and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h - 17. Give t(-12).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*n - 22, -n + 0 = -f - 3. Solve 15 = -r + 4*b, -7*r = -f*r - b - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/1781 - -226067\/53430. Let q(n) = -153*n**2 + 5*n - 38. Let f be q(12). Let m = -660163\/30 - f. Calculate the common denominator of m and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-five halves of a microgram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 43922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*p = -4*a - 54*p - 284, -p + 62 = -a. Is a greater than 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18936 by -4.\nAnswer: 4734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 5*c**2 + 6*c + 4. Let b be o(6). Let k be 7*9\/42*b. Suppose 3*y - k*y = 0. Put y, -1, 4\/9 in decreasing order.\nAnswer: 4\/9, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2 = 2. Suppose 11 - h = 3*t. Suppose a = -4*r + 17, 13*a - 12 = -2*r + 9*a. Solve 12 = -2*g + f - t*f, -8 = -4*g + r*f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -27. Suppose -224 = -5*z - q*p + 2*p, 5*p - 10 = 0. Is 9 a factor of (0 - -12)*33\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3924043 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*o + 14. Suppose 2 = i + o*f, -4*f = -0*f + 20. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/27459 and -28\/15.\nAnswer: 137295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 0.043, 0.5, 2 in descending order.\nAnswer: 2, 0.5, 0.043, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, y: 2, w: 4, s: 2, j: 2, d: 3}. Give prob of picking 1 s, 1 y, and 2 d.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3347535033\/1180955 + -2\/236191. Let k = n + 2846. Let j = -26\/925 + -35893\/6475. Find the common denominator of k and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mffffldffdl. What is prob of sequence ff?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1910 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 26. Let u(y) = -2*y**2 + y + 1. Let g be u(2). Let r be 2 + g + 3 - -3. Solve r*b = 6*b - i for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.29074 and 120.612?\nAnswer: 120.90274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -95.55 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 290482567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x + 12 = 2*g, g = 2*x - 3. Solve -5*z**3 + z + 4*z**2 - 3*z + 3*z**g = 0 for z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 26 = 5*x, -4*k - x = -6*k + 26. Suppose 4*h - 5*p = 37, -8*p - 27 = -4*h - k*p. Solve 0 = -h*l - 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 5*t - 16 - 3, -4*a + t + 3 = 0. Let m(i) be the second derivative of -1\/6*i**3 - 3*i + 0 + 3\/2*i**a. Differentiate m(d) with respect to d.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -7 - -7) + -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4.3, 2, 14\/11, -0.05, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1468 in -0.5, -3, -5, -2.97?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 82*h**3 + 13548*h**2 - 3849310*h wrt h?\nAnswer: 492*h + 27096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -3*r - 15, -34*x = -35*x + 4*r - 7. Find the common denominator of 18\/5 and (-223)\/(-89) - x\/((-45)\/(-10)).\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1323, 2598, 3813, 4938, 5943, 6798, 7473?\n\"Answer: -5*v**3 + 1310*v + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3419 = -y, 3*h - y - 3255 = 154. Let o = 6847\/6 - h. Calculate the common denominator of (700\/36)\/(-7) - (0 + 2) and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k - 476 = -56*k. What is the remainder when 424 is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 779730821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 19 = -39 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80950643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2\/2 - 13*n\/4 - 3\/4.\nAnswer: -(n + 1)*(10*n + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-254 + 253 - (-1 - 8)) + 3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 5. Which is the closest to z? (a) 4 (b) -4 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/6*(18 + 6). Let y = q + 21. Suppose y*h = 4*u + 46800000, u = h - 0*h - 11700000. What is u rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -38. Let w be -3*40\/t*(-381)\/(-2). Suppose 3*m + 667 = 5*a, -5*a + w = 7*m - 2*m. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 189 + -98. Let w = -73 + b. Solve -5*c + 4*r - 12 = -c, -w = 4*c + 2*r for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 6*t + 10. Let c be b(7). Let m = 3 - c. Let k be 7*(-1 + m - -2). Solve 0 = -4*v - 13 - k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0 - (-3 - 5)) + -14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 - -0.39. Let z = u + -0.7. Let r = -10 - -7. What is the second biggest value in -4, r, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4692893 times -0.25\nAnswer: 1173223.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(77) - (sqrt(77) + -1*sqrt(77) + sqrt(77))))\/((sqrt(33)\/sqrt(3) + sqrt(11))*4)*1 - (3*-3*sqrt(70))\/(sqrt(160)*2).\nAnswer: 9*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t + 16. Let c be s(11). Let d(w) = -191*w - 23. Is d(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/50*((-6)\/(-15))\/(129\/((-156735)\/(-324))).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2783970.\nAnswer: 2, 3, 5, 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 18453?\nAnswer: 5\/18453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7256 = 78*o + 5540 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1789595 to the nearest integer?\nAnswer: 1338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130865 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98 + 154. Suppose -p = -z - z. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 1:23 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 29*g**2 - 4*g + 16. Let k be p(-29). Let m be 21\/4 - 4\/16. Suppose f + m*f = k. What is the lowest common multiple of 92 and f?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -79, -111, -143, -175?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 1554*o + 34216. What is s(-22)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.6, -0.11, -3\/4, -13, -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2599665 divided by -355.\nAnswer: -7323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3640*z - 7 = 3633*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*x**2 + 0)*(6 + 2 + 0)*(-5 + 5 + 3) + 3*x**2 + 2*x**2 + x**2.\nAnswer: -66*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2017 or 1?\nAnswer: 2017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 + -1 - (-3 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 + 22*g**2 - g + 21. Let l be (1\/(-1))\/(-1) + 27. Calculate the remainder when (-1)\/4 - (-1099)\/l is divided by c(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6671 at most as big as -6671?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 448 + 462 - 176 - 4*b**3 as l*b + j*b**2 + f + r*b**3 and give f.\nAnswer: 734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m + 40 = -8*l + 28*m, l + 3*m + 5 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19308*i + 9090*i - 6131*i - 51548*i - 15439*i.\nAnswer: -83336*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s + 5*s - s)*(-s**2 - s + s) - s**3 + s**3 - s**3 + (0*s + 4*s - 3*s)*(4*s**2 - 2*s**2 - 8*s**2) in the form i*s**3 + y*s + o*s**2 + x and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obb. What is prob of sequence ob?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n**(1\/6)))\/n**(-5)*((n*n**5)\/n)\/((n\/n**4)\/n)*(n*n*n**(-1)\/n)**(-36)*(n**(2\/7))**(4\/21) assuming n is positive.\nAnswer: n**(1263\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.9 from -3.389.\nAnswer: -1.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -12, 13, 40, 69, 100, 133?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -4) + -5 + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352493 is divided by 8197?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5 - 84*s**4 + 308*s**3 + 992*s**2 - 2496*s - 5120.\nAnswer: (s - 80)*(s - 4)**2*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -922, -920, -918, -916?\n\"Answer: 2*p - 924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -19\/3. Let u(l) be the second derivative of 3*l + w*l**3 + 0*l**4 + 3\/20*l**5 + 0 + 0*l**2. What is the second derivative of u(m) wrt m?\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 8*u**3 + 24)*(-5 + 1 + 3) + u**3 + 3*u**2 - 3*u**2.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x - 10. Let q be v(-5). Suppose -m - 2*m + q*a = -746, 4*m = 2*a + 1018. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 3:47 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1240344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-2) + 1 + 48. Let q be y\/21 - (-4)\/(-14). What is the second derivative of -2*n**4 - q*n**2 - n + 2*n**2 wrt n?\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70 - -85) + (4 - 18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 3*p**2 + 5*p + 6. Let k be q(-4). Suppose -k*c + 35 = -3*w, -c + 0*w + w = -16. Calculate the remainder when 49 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*m + 2*y - 62 = 35*m, 2*y = 4*m - 100. Let i be 8*(-6)\/(-216) + 372\/m. What is the highest common divisor of 42 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + -3 + sqrt(2736) + sqrt(2736) + 1).\nAnswer: -96*sqrt(19) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12580 and 3500940.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60018086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75941 is divided by 50.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 101? (a) -0.2 (b) 55 (c) -2 (d) 2\/159 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**2 - 11*m - 28. Let w(l) = 14*l**2 - 38*l - 83. Let g(c) = -8*p(c) + 3*w(c). What is g(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*a + 126*a - 5*a + 52*a + 183*a.\nAnswer: 435*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**2 - 13*q + 15*q - 11*q - q**4 + 33. Find the first derivative of u(z) wrt z.\nAnswer: -12*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - ((-45 - -12) + 14) - (-4 + 41)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1030130 - -1?\nAnswer: -1030123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s = -12*s + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 718859.24 from -0.06.\nAnswer: -718859.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15771254, 15771266, 15771278?\nAnswer: 15771290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5588 - 3*c - 5855 + 5*c to the form p*c + x and give x.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2. Let x(q) be the second derivative of 7*q**6\/720 + q**4\/12 + 2*q. Let m(t) be the third derivative of x(t). What is j(m(i))?\nAnswer: -49*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -28*r**2 - 3*r - 3. Let z(i) = -225*i**2 - 25*i - 25. Let h = 4175 + -4172. Determine h*z(p) - 25*t(p).\nAnswer: 25*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + 35. What is the greatest common factor of m and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d. Let f(j) = j**3 - 32*j**2 + 272*j - 3015. Let m be f(26). Let k be 12\/5 - (-4)\/(-10). Let r(g) = 2*g + g - k*g. Give m*r(p) - u(p).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1644, -3194, -4654, -6018, -7280, -8434, -9474, -10394?\nAnswer: -11188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/27)\/(30\/54)*5\/3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -13*p + 248. Solve -4*q + 2*t = 5*t + 17, -2*t = -3*q - p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/10)\/((-156)\/1300)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 355, 705, 1067, 1447, 1851, 2285?\nAnswer: 2755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.14 - -0.06. Let y = -1.93 - 0.07. Let q = 40 + -122\/3. Which is the nearest to i? (a) q (b) 1\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1296 and 1201878.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from dddddsdddmsdsdd.\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 23*m**2 + 86*m - 87. Let f be c(1). Let t be (-99)\/(-6)*4\/6. What is the highest common factor of f and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 20*a - 2 = 28*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + -2 - -570002 - -3. What is j rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -3943936.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 145631021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c - 6. Let a(j) = j + 1. Let z be 16\/6*(-90)\/(-60). Let g(p) = z*a(p) + m(p). Let u be (2\/4)\/(2\/(-24)). Give g(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (23537*p**2 + 499*p**4 - 23546*p**2 + 477*p**4)*(2 + 3 - 6)*(0 + 5 - 2) in the form n*p**2 + o*p**4 + s*p**3 + x*p + v and give o.\nAnswer: -2928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (140\/(-77))\/(-10) + 42\/11. Let w(q) = -q**2 - 6*q - 4. Let m be w(-4). Suppose m*l + 6 = 14. Solve j = -j + 3*o + u, -l*o = 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 96039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 - 145 - 82)*(-w + w - 3*w + (1 - 1 - 2*w)*(-3 + 1 + 0) - 3*w + 2 - 2)*(-w**4 - 2*w + 2*w).\nAnswer: -354*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165 divided by 11.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2 + 0 + 2*s + (1 - 5 + 2)*(-s + 0 + 0) - 4*s + s + s + (5*s - s - 3*s)*(-1 + 3 - 3) + s - 3*s + 4*s to the form w*s + v and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -701367 (base 9) to base 8.\nAnswer: -1451250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1243*y**3 + 84*y + 2 wrt y?\nAnswer: -7458*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -317 + 352. Calculate the greatest common divisor of 280 and r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29216 + -25239. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1716 = 37*c - 50*c. What is the remainder when c is divided by 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-7\/4)\/l*l\/l**(-10\/11) assuming l is positive.\nAnswer: l**(-37\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 476*j + 202*j + 185*j - 201*j in the form g*j + c and give g.\nAnswer: 662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 595 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 13\/24*a**4 + 0 + 0*a**6 - 1\/15*a**7 + 0*a**3 + 0*a + 0*a**5 + 18*a**2. What is the second derivative of y(u) wrt u?\nAnswer: -168*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1603009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.96033 litres to millilitres.\nAnswer: 9960.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -618072\nAnswer: -618071.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3300 - 10233010?\nAnswer: -10302310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2)*(0*r**2 - r**2 - 4*r**2 - 1) to the form g*r**2 + z*r + o and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4 + 13*m**2 - 10*m**2 + 4*m - 4*m**2. Give i(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 5*u + 20. Let o(m) = -m**3 - 3*m**2 + 5*m + 6. Let k be o(u). Let q(h) = h**2 + 1. Let n be q(k). What is the greatest common divisor of 25 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 20 = 2*z, 3*b - 10 + 2 = -5*z. Let l be 7*b\/(2\/(-1)). What is o in -18*o + l*o + 13*o - 2*o**2 - 6 - o**2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 215 and 80195?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3407, -3332, -3257?\nAnswer: -3182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -227 - 1?\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2.3. What is the biggest value in 5, 3\/4, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00884166 to five dps.\nAnswer: 0.00884","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86 + -21. Suppose 24*t + 22*t - 8832 = 0. Let v = c + t. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 1863. Let v(a) = -4347*a**2. Calculate m(v(i)).\nAnswer: -4347*i**2 + 1863","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -661*w**2 - 708*w**2 + 1337*w**2.\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -104 - -164. Let s = y - 32. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**5\/20 - 2*z**2. Let g(p) = p + 1. Let a = -23 + 18. Let v(r) = 4*r + 5. Let q(s) = a*g(s) + v(s). Determine q(j(l)).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -71.1114377 to zero dps.\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 10*i**3 - 8*i**3 - 4*i + 5*i.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 41 = -c, -35 = -4*r - 3*c + 13. Suppose -3*x + r = 2*x. Suppose -2*g - 4*n + 98 = 0, x*n = -0*g - g + 50. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**3 + y**2 + 5. Let x be d(0). Let v = x + 31. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217094 = 3515*h + 27284 for h.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 8 + -6 + -22 + 4 + -4\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 12. Suppose 0*o + 2*o - 20 = f. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66.79 - 61.79. What is the nearest to -17 in 0.2, -0.5, -2\/11, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 282\/341 + -20\/31. Let g be (0 + 1)*6\/2. Suppose -14 = 3*q - b + 2*b, 3*q - g*b = -6. Sort v, q, -1.\nAnswer: q, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 88, 90, 82, 58, 12, -62, -170?\n\"Answer: -y**3 + y**2 + 6*y + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 74 = -71 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106 + -102. What is the second derivative of -18*t**i + 39*t + 3*t**4 + t**3 - 69*t wrt t?\nAnswer: -180*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 5*b**2\/2 - 6. Let u(r) = -r**2. Calculate k(u(c)).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -10101100110 (base 2) to base 14\nAnswer: -70a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 16. Calculate v(22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((20\/54)\/((-52)\/(-39)))\/((-120)\/(-12))?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -853*o - 119 = -893*o + 601 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32*g**2*p - 71*g**2 + g*p - 3*g + 11105*p + 1 wrt g?\nAnswer: -64*g*p - 142*g + p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 12*u**2 + 3*u - 10. Let r be h(12). Suppose -3*c - f = -r, -3*f = 3*c + 3 - 21. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**11*b)*b*b**(-33)*b)**16)**(2\/43) assuming b is positive.\nAnswer: b**(-1344\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*y**4 + 0 + 0 + 1 - 2*y + y**2 - 2723*y**3 + 2725*y**3 in the form z*y**2 + o*y**3 + h*y**4 + d + s*y and give h.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4505590 and 122552048.\nAnswer: 612760240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -0.2 (c) 5 (d) 2\/13 (e) -231\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**3 + 0*y**3 - 2*y**3 - 4*y**3 + 2*y**3 + 4*y**3 + 2329*y**3 + 2239*y**3 - 5351*y**3 + (y**2 - 2*y**2 + 3*y**2)*(2*y - y + y) + 0 + y**3 + 0.\nAnswer: -773*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004678189 rounded to seven dps?\nAnswer: -0.0004678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-12) + 32\/12. Suppose 4*o = -l*a + 527, 4*a = -o + 511 + 209. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -f - 7. Let i be 111\/39 + (-2)\/f. Solve i*b - 10 = 4*m, 2 = -3*m + 4*m - 3*b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = p. Suppose p = -z + 6*z + 5, 473 = 5*v + 2*z. Calculate the highest common divisor of v and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 e when three letters picked without replacement from eekzwowekkez.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2302103 (base 6) in base 7?\nAnswer: -665301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**4\/r*r))\/r**(2\/5)*((r*r\/(r*r**(-6)))\/r)\/r**(3\/8) assuming r is positive.\nAnswer: r**(49\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 432549883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58600.51l to millilitres.\nAnswer: 58600510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*1\/35*(-3020)\/1208.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81148 is divided by 1178.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 162 + -162.0181. Let d = l - -4.9981. Round d to 1 decimal place.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14000 is divided by 2024.\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, o: 2, q: 1, v: 1, t: 1}. What is prob of picking 1 q and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*i**3\/5 + 4813*i**2 + 52201*i\/5 + 28203\/5 = 0.\nAnswer: -357, -79\/67, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/10*(-50)\/30\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -144, -1, -0.1, -2\/9, 7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1656 and 24?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (1269825\/(-30))\/(-5)*(2 - -12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36271162777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 8:19 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence un when two letters picked without replacement from bdpbpdbdnnujnpp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 55 + 61 - 32037*d + 32041*d as y + i*d and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/2 of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 4:41 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1037 + -1038. Which is the closest to o? (a) 1.7 (b) 2 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1788 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: Let g(b) = 7*b**2. Let t(q) = 37*q**2 + 72 - 29 - 19 - 24. Give g(t(u)).\nAnswer: 9583*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4\/17*j**4 + 0 - 38\/17*j**3 - 56\/17*j**2 - 24\/17*j + 2\/17*j**5 = 0.\nAnswer: -2, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**3\/2 - 939*n**2 - 5648*n - 7536 = 0.\nAnswer: -4, -2, 1884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -4, 53591, 2\/45, -25 in increasing order.\nAnswer: -25, -4, -0.2, 2\/45, 53591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**2. Let o(j) = j + 7. Let i be o(-7). Let u(q) = i*q + q + q**2 - q. Calculate t(u(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 14. List the prime factors of 28\/(-6)*(-18)\/f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-4)*(-1342)\/(-183)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42974?\nAnswer: 2, 21487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3160 = q - 5573, -3*z - 4*q = -13097. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -293233747\/4 or -73308436?\nAnswer: -293233747\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*c + 14 = 5*c, -42 = 3*u + 4*c. Let k be (u + 2)*(4 - 5). Suppose -m = m - k. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*a - 62100276*a**2 + 18*a - 2 + 62100274*a**2 - 36*a + 2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 352425801 at least 352425801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*g - 31, 2*g + z = 3*g + 17. Let s be g*(-4 - (194998 - 2)). What is s rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l + 4*l)*(4 - 4 + 3*l) + 2*l**2 + l - l + 233*l + 42*l**2 - 5*l**2 - 236*l.\nAnswer: 51*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from gaecn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + i + 0 + 1)*(-i + i + 9*i) - i**2 - 2*i**2 + 0*i**2 - 6*i**2 + 4*i**2 + 0*i**2.\nAnswer: 4*i**2 + 18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(4 + 3*z + 10 - 18).\nAnswer: -6*z + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1166 in 2, -3, 2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3210 in 3\/8, -717, -2?\nAnswer: -717","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*f = 41, c = -2*c - 2*f + 37. Calculate the remainder when 37 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37298, -74616, -111946, -149294, -186666, -224068, -261506, -298986?\nAnswer: -336514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5162 - (-8 - 72\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*q + 20 + 25, -3*w - 2*q = -25. Let r = w + -7. Is r at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/165)\/((-693)\/945)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 74298 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 3*u - 22, -4 = -3*o + 2*o + u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 197*0.1\nAnswer: 19.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - t**2 + 0*t**2 + (3*t - 4*t + 3*t)*(-2*t + 3*t + t) + t**2 + 0*t**2 + t**2 + 0*t**2 - 10*t**2 + 2*t**2)*(5*t**3 - 3*t**3 - 4*t**3).\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1266543*c + 1266438*c + 4305 for c.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2400 = 1212047*u - 1212167*u for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*(-12)\/(-66) - (-22)\/(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -4 (c) -223\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9522, -19165, -28940, -38847, -48886?\nAnswer: -59057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a kilometer in meters?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -225 and 260.556.\nAnswer: 35.556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h**2 - 108404*h**3 + 112753*h**3 + 10*h**2.\nAnswer: 4349*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 8 = -2*q - 4*o, 0 = -2*q - o. Suppose 0 = 3*b - 0*b. Let d = -201 + 204. Sort d, b, q.\nAnswer: b, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18121, 18178, 18247, 18358, 18541, 18826, 19243?\nAnswer: 19822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/32 of a millisecond?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1473070, -5, 129, -2.\nAnswer: -5, -2, 129, 1473070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u + 46*u - 4*u)*(-4 + 5 - 2*u - u)*(10 + 0 + 7)*(-u + 5 - 5).\nAnswer: 2448*u**3 - 816*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8534321\/78177 + -1\/52118. Let n = x - -165709\/1518. Is 1 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) - (sqrt(300) + ((sqrt(300)*1 - sqrt(300))*-2 - sqrt(300)) + sqrt(300) + sqrt(300)) - sqrt(300))**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**2 + 3*x**2 + 0*x**3 + 246*x - 4 - 12*x**3 + 11*x**3 - 2 to l*x**2 + t + v*x + i*x**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/2 + 51*w**2 + 207*w\/2 + 52.\nAnswer: -(w - 104)*(w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -54*g - 3933. Determine k(-78).\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 82, 81, 80?\n\"Answer: -u + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 48, 44, 38, 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13.614 and 135994116?\nAnswer: 135994102.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 3*m**2 - 2. Let r be j(2). Suppose -3*o + 3930 = r*o. Let k = o - 22791\/29. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 202734?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/(-32)*(3 + (-24)\/3 + 5). Which is the second biggest value? (a) h (b) -0.5 (c) -0.03 (d) 4\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*t, -4 = -a + t - 12. Is (2\/(-4))\/(a\/2370) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + a + 207 = 0, -8*j = -9*j + 5*a + 28. Factor -j + 54*n**2 - 97*n**3 + 121*n**3 + 16*n**4 - 28 - 13*n**4.\nAnswer: 3*(n - 1)*(n + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*g + 87*g - 30289 - 202953 = 0. Calculate the remainder when g is divided by 141.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in 6, 3\/68, -3, -12?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -615, 3\/4 in descending order.\nAnswer: 3\/4, 2\/5, -615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9350\/7 + 1337. What is x in -u*x - 12\/7 + 3\/7*x**2 = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2203 + 0?\nAnswer: 2203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 - 32 + 32.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -470492 or -408?\nAnswer: -470492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -27*o**3 + 3*o**2 + 2*o. What is the least common multiple of 22 and g(-1)?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72351 + -49582. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*667\/203 + 50 - (1 - -17)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, v: 9}. Give prob of sequence vyvy.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 358 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfqtttqtttfttfttqfq. Give prob of sequence fff.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/c**(7\/5))*(c*((c**(-6)*c)\/c)\/c)\/c assuming c is positive.\nAnswer: c**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 > 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 11:24 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/6 + 185*u**2\/6 + 5200*u\/3 + 80000\/3.\nAnswer: (u + 25)*(u + 80)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -300.31 + -1.09. Let c = r + 301. Sort c, 3, 27 in decreasing order.\nAnswer: 27, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 9*a - 1. What is q(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 0*w**2 + 0*w**2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gndnngnnnnnnnn. Give prob of sequence dn.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 19.18 - -5064\nAnswer: 5083.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(440)\/sqrt(176))\/(sqrt(16)\/sqrt(18)) + -1.\nAnswer: -1 + 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25330 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -1437*q + 73258. Give d(51).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10960747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7\/2 + 3 + 189\/(-51) + 395\/(-158)\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 170 - 50. What is the highest common factor of 48 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + (-3*(sqrt(1331) + 0 + 4 + (sqrt(55)\/sqrt(5) - sqrt(11)))*6)**2).\nAnswer: 114048*sqrt(11) + 1745708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 f, and 1 n when three letters picked without replacement from nafrfnaaaannnfffn?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -465 + 5?\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 + -37. Suppose 2*i - 5*y - l = 0, 4*y = 5*i - y - 30. Determine r so that -4*r**i - 280*r + 554*r - 278*r = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**3 + 3*s**3 + 4*s**3 + (-28*s + 12*s + 21*s)*(-211*s + 211*s + 275*s**2) - 3*s**3 + 9*s**3 - 2*s**3.\nAnswer: 1381*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4 = 0, u - 5*q + 2*q = 19. Solve c + 3*c + u = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2819 (base 10) to base 9\nAnswer: -3772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 13 = -14*k. Put -3, 61, k in decreasing order.\nAnswer: 61, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 389\/28 at most as big as 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 56*f**3 - 122*f**2 - 4*f - 250. Let b(y) = 44*y**3 - 121*y**2 - 3*y - 249. Let u(z) = -5*b(z) + 4*d(z). Find the second derivative of u(h) wrt h.\nAnswer: 24*h + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000023461429 rounded to 7 dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2422 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 22*g**2 + 150*g + 23. Let u be f(11). Solve -336*x - 18 = -u*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 8*g**3 + g**2 - g + 3. Let r(o) = 31*o**3 + 4*o**2 - 5*o + 13. Let l(k) = 2*r(k) - 9*t(k). Let v be 4\/18*10926\/(-2428). What is l(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14825868 to the power of 1\/2, to the nearest integer?\nAnswer: 3850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 53 - 112 + 7*q + 53 - 18*q. Let o(k) = 1. Determine 4*o(i) + r(i).\nAnswer: -11*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - -134.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1110 = -170*q + 165*q. Suppose 35 - q = -11*a. Let l = 28 + -19. What is the remainder when a is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Let d = 369.158 - 369. Let g = -54.158 + d. Which is smaller: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 1\/5 (b) 0.7 (c) -1\/7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 5*g + 14, -2 = -2*w - g + 4. Suppose 5*d - 174 = w*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, m: 1, y: 2, b: 4, u: 3}. What is prob of picking 2 j and 1 m?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -11*g**3\/9 - 13630*g**2\/9 - 4003675*g\/9 + 137096500\/9 = 0.\nAnswer: -635, 340\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 4708 = 3524. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 781.290666 rounded to 1 decimal place?\nAnswer: 781.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 7. Let w be 56\/21 - (v\/9)\/(-2). Solve 4*t + 32 = w*o - t, 4*o - 2*t = 24 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -21. Let k = -6 + p. Suppose 0 = -4*t + 3*t + 3. Is t at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 17*x + 1. Suppose 4*d = 4*p - 13 + 9, 0 = -3*d - p - 19. Let k be s(d). Which is bigger: k or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -41705309?\nAnswer: -41705309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*r - 87*r - 2078 = 1159 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.485385l to millilitres.\nAnswer: 1485.385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(-1 + -1)\/(-2). Let b(r) = r**3 - r - 16. Let j be b(0). Does 17 divide 0 + d\/(j\/204)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 20, -4*x - 4*n + 15 = -9. Suppose 0 = -f - 4*f + 5*s + 10, -f + 4*s = 7. What is the lowest common multiple of x and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -118493 * 5\nAnswer: -592465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18001183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 9*f**4\/4 + 7*f + 6. Differentiate d(z) with respect to z.\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 55\/4 of a microsecond?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*1*6 - sqrt(170))\/(3*sqrt(40)\/sqrt(4)))**2.\nAnswer: 425\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.839 - -16.161. What is the nearest to u in -0.1, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4654 and 34905.\nAnswer: 69810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2721279 and -54\/77?\nAnswer: 19048953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 71, 56, 41, 26, 11, -4?\n\"Answer: -15*y + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/56*98\/35?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 - -4 - (-7 - -1 - -12) is divided by 45.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/42 and 27\/4243330.\nAnswer: 12729990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 0)\/((-4)\/4). Let k(r) = 2*r**2 - 2*r + 3. Let f(g) = g**2 - 2*g + 2. Determine s*f(n) - 2*k(n).\nAnswer: -n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9, -2\/7, 201, 8, -0.34, -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -413547, -2\/15 in descending order.\nAnswer: 1\/7, -2\/15, -413547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 + 33. Let k = -39 + 66. Suppose 5*w + 3 = -4*x, -4*x + 4*w + k = x. Calculate the highest common divisor of n and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7018 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67736.0000179727 + 67736. What is s rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 - 10*b**2 - 18*b - 54. Let u be l(-5). Solve 15*n + 63 = u*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -15 + 28 + -17 + 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14*-80.\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 475063?\nAnswer: 271, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -311\nAnswer: -1\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14705, -29389, -44073, -58757, -73441?\n\"Answer: -14684*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -58331 and -58329 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 + (-3034)\/74 + (41 - -7)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 21 = 5*h + 3*t, -21 = -4*h - t. Let m(j) = -7*j**3 - 6*j. Let l(w) = 20*w**3 + 17*w. Give h*l(r) + 17*m(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35505, 35515, 35533, 35559?\nAnswer: 35593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3379 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 + -11 + 11 + -63.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 6. Suppose 2*u - 11 = 3. Let b(k) = -2 + 9 + 13 - 2*k**2 - u. Calculate -6*b(f) + 13*l(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 33*k - 21. What is t(-8)?\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 106590384 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 9*z**2 - z - 10. Let r be j(-9). Let k be (0\/(3 + r))\/1. Suppose k = 5*c - 108 - 487. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339756 is divided by 1877?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2584 and 116348.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k. Calculate o(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1018 is divided by 1013.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 20. Suppose -i + 17 = 3*a + a, -l = i - a. Let s = 3 - 6. What is the closest to i in -2, 2\/5, s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -211 smaller than -210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2569443, 5138933, 7708423, 10277913, 12847403, 15416893?\nAnswer: 17986383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 143, 205, 293, 419, 595, 833, 1145, 1543?\n\"Answer: 2*o**3 + o**2 + 45*o + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169466255?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1027 - 3)\/(-2)*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9521668 and 234.\nAnswer: 85695012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2440 is divided by 45?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2117344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 118 = 22. Suppose 0 = -f + 5*b + 36, -f - f - 2*b = -v. What is the greatest common divisor of 48 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 710078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, l: 1, i: 6, y: 1, m: 2}. Give prob of picking 1 i, 1 m, and 1 y.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 6*g**2 + 10*g - 6. Let z be m(4). Suppose 0 = -y + 3*v + z*v - 1, v = 2. Which is the closest to 1? (a) 4 (b) -4\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/13350 and -47\/15036?\nAnswer: 33455100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1352 and 7267?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g**2 + 2*g**2 + 6*g**2 + 41.\nAnswer: -g**2 + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 280069.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t**2 + 2109*t + 36546. Determine p(-18).\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 65629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 12*m**2 - 2*m + 15. Suppose 5*t + 2 = -2*f, 5 = f + 1. Let z(r) = 4*r**2 - 4. Let v be z(t). What is o(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n**5\/2 + 1927*n**4\/2 - 1211*n**3 - 74590*n**2 - 149036*n - 24640 = 0. Calculate n.\nAnswer: -176, -7, -2, -2\/11, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (152\/6)\/(3 + -5). Let w = a + 13. Let h(t) = t**3 - t - 1. Let m be h(-1). Sort -3, w, m in increasing order.\nAnswer: -3, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(14)*3)\/(-1*sqrt(847)))**2.\nAnswer: 18\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g = -g - 55 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c + 6*c**2 - 3*c - c**3 + 8 - 3*c. Let q(z) = z**3 + 3*z**2 - 4*z - 6. Let h(m) = -3*m**2 + 2*m + 2. Let v be h(-1). Let r be q(v). Give l(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(75) + 1)*-5 + 2*(-2 + sqrt(75)*1 - sqrt(75) - sqrt(75)))**2 + -3.\nAnswer: 1430*sqrt(3) + 12793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -498940 times -30?\nAnswer: 14968200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86 - -152. Let f = 77 - c. Let m(j) = 15*j**2 - 11*j + 6. Let p(q) = 3*q**2 - 2*q + 1. Determine f*p(y) - 2*m(y).\nAnswer: 3*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 1647085 = -38*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1233, -4939, -11115, -19761, -30877, -44463?\nAnswer: -60519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 143587a - -81?\nAnswer: 1435950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3488\/176 - (-2)\/11. Suppose -17*f + 7*f + d = 0. Suppose -n = 0, 3*a - 4*a + f*n + 887 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 22. Calculate the highest common divisor of 21 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*14\/105*(-33)\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 11. Let p be 1 + 0 - (4 - 3). What is the remainder when 42 is divided by k(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 57412 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -738176\/5 at least as big as -147636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1536) - (sqrt(1536) + -4*sqrt(1536)))\/sqrt(8).\nAnswer: 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 428259 and 3239.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wba when three letters picked without replacement from waaabwa.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-14\/5)*n**1)\/(n**22\/(n**1*n)) assuming n is positive.\nAnswer: n**(-71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.57 + 0.6. Which is the third smallest value? (a) z (b) -1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 200*y. Let z(h) = 204*h. Let o(g) = -44*g. Let t(j) = 14*o(j) + 3*z(j). Calculate t(u(b)).\nAnswer: -800*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, j: 1, p: 5}. Give prob of picking 1 j and 1 p.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 36?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 537, -5, -45 in descending order.\nAnswer: 537, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -668, -1338, -2008, -2678?\nAnswer: -3348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52044 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22660 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 60 = -p, 2*p - 65 - 34 = 3*r. Let h be (3\/(-36)*-3)\/((-44)\/352). Put 0, h, p, 3 in descending order.\nAnswer: p, 3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -2.4. Let v = -0.00093 + -1.19907. Which is the smallest value? (a) v (b) z (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41\/261 + 4\/87. Let q = 0.948 + 0.052. Which is the second smallest value? (a) q (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(112)*2)\/sqrt(256) - (sqrt(14)\/sqrt(2) + 5 + sqrt(7) + sqrt(343) + 1 + 1)**2).\nAnswer: -1848 - 753*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12743?\nAnswer: 12743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*z + 3 + 45 + 14 = 0. Let g = 14 - -2. Differentiate -37 + g*b**z - 43*b**2 + 62*b**2 with respect to b.\nAnswer: 70*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -2*u, 0 = -217*u + 219*u + 4*c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/3*-3 - 1. Let r be 3 + -2 + m + 134. What is the highest common factor of r and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 8:48 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**2 + 91518480*d - 697969348459200 = 0.\nAnswer: 15253080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -583\/9 or -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108477.\nAnswer: 3, 17, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, n: 2, y: 2}. Give prob of picking 1 n and 1 y.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 2 + 18 = -4*s, 0 = -2*b + s + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.34718169 + 799?\nAnswer: 798.65281831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -10 in ascending order.\nAnswer: -10, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*p - 839 = -219, -5*c - 739 = -4*p. Let t = -128 - c. What is the remainder when 114 is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -2\/98709505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (-4 - 0 - -6). Let m = -8 + 11. Suppose -p = m*a - 86. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -461, -920, -1379, -1838, -2297, -2756?\n\"Answer: -459*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + -2)\/(-15)*6. Suppose 5*d + 2*t - 10 = 14, -5*d + 36 = -2*t. Calculate the remainder when 15\/(r*d\/16) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 13683684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 3, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1670?\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/17 in 3, 960, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f*p**4 + 3*f*p**3 - f*p**2 - 6*f*p - 24*f - 10*p**5 wrt p?\nAnswer: -72*f*p + 18*f - 600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 684, 1367, 2050, 2733?\nAnswer: 3416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3\/2 (b) 8 (c) -15.2 (d) 5 (e) 0 (f) -59 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -13*v + 4. Let y be i(6). Calculate the common denominator of -19\/16 and y\/18*12\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-4 - -10 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from tfappzn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35462400 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 + 872475217*q - 872475217*q.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50397, 50389, 50369, 50331, 50269, 50177, 50049, 49879?\nAnswer: 49661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -4, 3, -3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10 - ((-15)\/3 + 3). Let n = o + 15. Suppose -3*z + 12 = -n*z, 5*t - 204 = -2*z. Is 20 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(5 - 0) - -261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7072 and 506896?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12474421 divided by -1\nAnswer: -12474421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*w - 1111 - 1331 + 1722 for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5638?\nAnswer: 2, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(121) - (sqrt(121) - sqrt(121)*4))*1)\/((sqrt(11) + (sqrt(11) - 4*sqrt(11) - sqrt(11) - sqrt(11)) + sqrt(11))*-1).\nAnswer: -4 + 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -c - 0. Let a = c - -10. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2344089716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q - 1. Suppose 0 = -5*j - 25, -2*j = -v - 8 + 20. Let g(b) = -13*b + 3. Calculate v*g(k) + 5*o(k).\nAnswer: 4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -500 + -366a80?\nAnswer: -367480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (42 - -1 - (27 + 26 - 51)) + (1 - 5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 1*(7 - 1). Which is the nearest to 1\/4? (a) -4\/3 (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*h - 4*k - 92 = 0, -4*h - 2*k - 82 = 0. Let a = -13 - h. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82 - 36. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1068 divided by -88\nAnswer: -267\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**4 - 623100*v**3 - 32355713673*v**2 - 129414754512*v - 97059663936 = 0.\nAnswer: -103848, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1128799 milligrams to nanograms.\nAnswer: 112879.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.477 and -0.091.\nAnswer: 0.043407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + o - 1. Let a(k) = 2*k**2 + 2*k - 2. Let z(s) = a(s) - 3*v(s). Let p(m) = -m**2 + m. Give -p(l) - z(l).\nAnswer: 2*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 - 474 = -46*p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 134821906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -28*u - 118. Determine m(-6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2061.00000434 - -2061. What is g rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 7:12 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 140*o + 57*o + 163*o**2 + 84*o as k*o**2 + z*o + j and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11862 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 100212 (base 6) to base 12\nAnswer: 4668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/5 - 1008*p\/5 + 2008\/5.\nAnswer: 2*(p - 502)*(p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o. Let t be 3*2\/9*-3. Calculate the least common multiple of (4 - 6)\/((-2)\/8) and w(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 0*y - 4*y)*(-1316 + 792 - 680)*(3*y - 1 + 2*y - 3*y) + (0*y + 0*y - 2*y)*(0 - y + 0).\nAnswer: 2410*y**2 - 1204*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 8*t + 9. Let h be z(-7). Is 2 - 4*-8 - h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480410977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-5)*i*i*i*i*i**(1\/5)*(i**(-1\/10)*i)\/i**(1\/4) assuming i is positive.\nAnswer: i**(17\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 18*t - 275. Let z be i(15). Which is the closest to -2\/13? (a) 5 (b) 2\/3 (c) z (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94729253?\nAnswer: 17, 73, 76333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*m)*(3 - 3 + 6) - 1 + 7 - 8 - 5*m.\nAnswer: 13*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 11:36 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 128*b + 118*b - 284*b + 1976 for b.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 65*g**2 + 68*g - 138. Let b be q(66). Let d(x) = x. Let s(i) = -13*i. Determine b*d(f) + s(f).\nAnswer: -19*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 32*t - 50. Let u be g(30). Solve -5*s + 5 = -u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j + 77*j - 279 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o - 15. Let t be q(-7). Let k = -3 + t. Suppose k*p = p. Solve p + 3 = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110020200001 (base 3) to base 5\nAnswer: 30203212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -341, -684, -1029, -1376?\nAnswer: -1725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -7*q**3 + 8*q**2 + 8*q - 8. Let r(w) = -6*w**3 + 9*w**2 + 10*w - 8. Let b(o) = -7*m(o) + 6*r(o). Find the second derivative of b(j) wrt j.\nAnswer: 78*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 890 and 75294?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11983043 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*r - 4. Suppose -5*y - 2*g = -7 - 13, -r*g - 16 = -y. Let s(b) = 19*b - 14*b + 1 - y*b. Give s(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 36. Let d be (-6)\/w*1\/2*20. Find the first derivative of -9*v**3 - d - 5*v**3 - 12*v**3 wrt v.\nAnswer: -78*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7*a**2 - 5*a + 600. Let c(z) = -28*z**2 - 21*z + 2520. Let r(y) = -5*c(y) + 21*j(y). Let s(w) = -15*w + 12. What is s(r(t))?\nAnswer: 105*t**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31b900 (base 14) to base 6.\nAnswer: 100031312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 33. Let p(t) = 8*t**2 - 12. What is the tens digit of p(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 9*(-4)\/(-3). Suppose 3*y + c = -2*v, y = -0*y - 3*v - 14. Is y not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5375618533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*q + 60 = 0, -j - 165 = -5*j + 5*q. Suppose 0 = -2*a - 5*t + 2*t + 45, 2*a = -t + 55. Calculate the highest common divisor of a and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13914)\/48*3\/(-9). Let z = v + -97. Let i = -0.3 - -0.1. What is the nearest to -2\/3 in -2, z, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1522 + 0?\nAnswer: -1522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-1953))\/((36\/(-14))\/6)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(13\/7)*u))\/u)\/u)\/u**(-1\/11) assuming u is positive.\nAnswer: u**(-290\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 864 and 3267.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.513119ug to tonnes.\nAnswer: 0.000000000004513119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/101, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 2 = y, a + 10 = 3*y + 5*a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000021647606 rounded to 6 decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g. Let s(v) = 46*v. What is q(s(n))?\nAnswer: 46*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 634885525 to the nearest integer?\nAnswer: 25197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13\/3 (b) 0.5 (c) 31394 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/9 - 2\/9. Let b be 0 + 12 + (a - -2). Let s be b\/30 - 8\/(-5). Solve -5*k = 2*d + s + 11, -4*k - 20 = 4*d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 238 + -238. Which is the third smallest value? (a) 2\/9 (b) 0.5 (c) t (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2607.48 + -2642. Which is greater: -0.1 or y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -67 - -45. Let n = -18 - o. Is n < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -376, -1086, -2284, -3970, -6144, -8806?\n\"Answer: -244*r**2 + 22*r - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -7.8. Let y = -859.6 + 860. Which is the closest to -0.1? (a) 0.2 (b) i (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -4065*2*4\/(-8).\nAnswer: 3, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*k**3 + 1054804565*k**2 - 18543544681548080*k + 6181181443315520.\nAnswer: -5*(k - 35160152)**2*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 130 - 96. Suppose 0 = j + 3*g - x, 7*j - 10*j = -2*g - 102. Calculate the highest common factor of j and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 3:49 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 41\/2 of a century?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6600.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**4 + n**4 + n**4 + n**4 + n**2 - n**2 + (0*n**2 - 2*n**3 + 0*n**2)*(-2*n + 2*n + 2*n).\nAnswer: 3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 50?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, p: 10, x: 2}. What is prob of sequence pz?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - 2 + 2)*(2 - 3 + 3) - 88*u + 21*u - 17*u + (u - u - 2*u)*(-5 + 2 + 4) - u + 17*u - 2*u - 2*u + 2*u + 2*u.\nAnswer: -68*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1173)\/51)\/((-230)\/(-790)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2241645751.99 + -5.\nAnswer: 2241645746.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f + 22. Let g be d(-5). Is g\/12*-1 - (-39282)\/24 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 22 = -6*u - 4*g + 22, 14 = g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -44712?\nAnswer: -17884.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -183467702*y**3\/5 + 1220406*y**2 - 13530*y + 50 = 0.\nAnswer: 5\/451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 11:03 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192060190?\nAnswer: 2, 5, 7, 31, 67, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 178412*t*w**3 + 2*t*w**2 - 81359*w**2 wrt w.\nAnswer: 1070472*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1067791 + -5859.\nAnswer: -1073650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2193669 to the power of 1\/2, to the nearest integer?\nAnswer: 1481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 54 and 4048\/73 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 2*n**2 - 2. Let s be m(2). Let q = -420 - -157. Let f = q - -263.1. Which is the biggest value? (a) f (b) 4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + (118 - 115 - (3 + -6 - (-8 - -1))).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-420)\/(4 - -3) + 0. Let v be 13 + -4 + f\/10. Solve -7*l - v = -6*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25438808, 50877618, 76316428?\n\"Answer: 25438810*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 1363771 + 2*y**3 + 1363687 + 10*y**2.\nAnswer: 2*y**3 + 9*y**2 - 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -61*o**2 + 5. Let g(r) = 2*r**2 - 10*r + 148. What is g(l(j))?\nAnswer: 7442*j**4 - 610*j**2 + 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6 = u. Suppose -u*r = -r - 4. Suppose 5*m + 4*o - 4 = 0, -o + r*o + 20 = 2*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2052)\/(-171)*(-3)\/(-630)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2\/7 - 5*m\/7 - 24\/7 = 0. What is m?\nAnswer: -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**3 - 5100*p**2 + 127904*p + 14664720.\nAnswer: 4*(p - 1247)*(p - 70)*(p + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 41142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (10\/4 + -1)*2. Let s(r) = 3*r**2 - 28*r + 17. Let q be s(9). Suppose 0 = 3*a - 4*c - 12, -p*c + 2*c + q = 2*a. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5806217 times -0.5\nAnswer: 2903108.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 176*l - 807739 + 105323. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106 - -110. Suppose -2*b + 3*w = 7, 2*w - k = -5*b + 7. Let o be 1\/(-2) - 140\/(-248). Which is greater: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -259802, -1039205, -2338210, -4156817, -6495026?\nAnswer: -9352837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -16*p + 36 - 9 + 18*p. Let m be o(-12). Solve m*r = 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 + -0.24. Let k = 1.18 + t. Let z = -1.362 + k. What is z rounded to 2 dps?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -992 + 518. Let h be (-2)\/14 + (q\/(-84) - 4). Sort -5, -3, h, 0.5 in decreasing order.\nAnswer: h, 0.5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**2*r**2 + 5*m**2 - 4*m*r + 55*r**2 wrt r.\nAnswer: 4*m**2 + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h**2 - h + 1. Let d(r) = -4*r**2. Let g = 218 + -216. Give g*m(v) + 3*d(v).\nAnswer: -2*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 135444168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 532? (a) -1 (b) -725 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - c - 562 = 0, 0 = 2*m + 4*c - 35 - 255. Let k = 1440 - 1403. Calculate the remainder when m is divided by k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1052371882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.2 and 181.0115.\nAnswer: -217.2138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 113 - 112.873. Let o = p - 0.027. Which is the nearest to o? (a) 0.4 (b) 2 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -24, -37, -38, -21, 20, 91?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 10:57 PM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-7965)\/(-175))\/(-9).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-1\/7))*q)\/q**(-1\/2)*(q**(-2\/7))**45 assuming q is positive.\nAnswer: q**(-157\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen halves of a century?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 1317402.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*r**2 + 105*r - 105*r)*(-3*r**3 + 4*r**3 + 2*r**3).\nAnswer: 45*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d62 (base 15) to base 7.\nAnswer: -11540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*s - 29, 0*g + 5*g - 25 = 2*s. Which is the nearest to 2? (a) g (b) -5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/(-170)*17*1\/((-7)\/(-46)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/3, 3498, -2 in descending order.\nAnswer: 3498, 2, 1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -793, -1987, -3197, -4429, -5689, -6983, -8317?\n\"Answer: -n**3 - 2*n**2 - 1181*n + 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehhhihdd. What is prob of picking 2 h and 1 d?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -250*16200\nAnswer: -4050000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -1. Let p(d) = 12*d. Let g(m) = -m - 2. Let t be g(-3). Let h(n) = t*l(n) - p(n). Is h(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 990 + -979. Suppose 14*i = w*i - 4*g + 746, 4*i - 988 = -4*g. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -90 + (44 + -133 - -98)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 12*i. Let o = -1 - -3. Let q be o\/((0 - 0) + 2). Determine f(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 1962007.6?\nAnswer: -1962007.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -5 (c) 5 (d) -27 (e) -18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12040668 and 15050835.\nAnswer: 60203340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 4:54 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 3:47 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (7\/21)\/((-29963)\/(-45486) - 4\/6)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6378487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*y**5 - 3629*y**4 - 2*y**2 + 87*y + 6571?\nAnswer: -960*y**3 - 43548*y**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 5334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -72\/697 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -712.3 + 714.3. Which is the second smallest value? (a) 2\/9 (b) w (c) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 70*n**2 - 8\/105*n**7 - 1\/3*n**4 + 0*n - 1\/3*n**5 + 0*n**3 + 0 + 11\/30*n**6. Find g such that c(g) = 0.\nAnswer: -1\/4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 + -43.684. Let b = 0.2157 - d. Let h = b - -0.1. What is h rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 79 = i, 4*y - 5*i - 162 = -3*i. What is the remainder when 154 is divided by y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-10))\/(72\/360). Let w(h) = 3*h + 4. What is w(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x - 1 + 1)*(5 + 1 - 1 + (-5 + 3 + 0)*(-3 + 3 + 4)) in the form n*x + o and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -11. Suppose -g*t - 8 = -t, -5*t - 16 = 2*n. Suppose m = 5*o - 1, m - 1 = -2*o - 2. Sort 1, m, n.\nAnswer: n, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15999815.\nAnswer: 5, 13, 246151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 25, 4*s - 4*x + 5*x = 11. Solve -4 = s*q - 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -288803.86 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*j - 1 + 18*j + 19*j - 914817*j**2 + 0.\nAnswer: -914817*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 696011.\nAnswer: 457, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**2 - 21*b - 9. Let k(n) = 2*n**2 + 14*n + 6. Let l(w) = -5*a(w) - 8*k(w). Determine l(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(-1 + (-62)\/(-4)). Let h = -20 + o. Let l = 117 + h. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10317881 by 49.\nAnswer: -210569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34 - -1) + -4 + 4 - (531 + -518).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 - -92. Suppose -l*f + g = -7, -3*f + 4*g + 4 = -f. Solve -f*z + 15 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7, -31, 9\/5, 1\/5, 1\/9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*(-4 + -1 + ((-1 + sqrt(11))*6)**2 + -4).\nAnswer: -216*sqrt(11) + 1269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-13)*u)*u)\/u**(-16\/5) assuming u is positive.\nAnswer: u**(86\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 437074 and 2354.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**2 - 3888*l + 31296 = 0.\nAnswer: -1304, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -9. What is the third smallest value in -4, v, -0.19?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**25*v*v**(2\/17))**(18\/11) assuming v is positive.\nAnswer: v**(8298\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -430, -780, -1126, -1468, -1806, -2140?\nAnswer: -2470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8714154*v**3 - 3496143 wrt v?\nAnswer: 26142462*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-58)\/290)\/((-6)\/540)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (271 - 309 - 109)*(-t - t + t)*(-5*t + t + 3*t).\nAnswer: -147*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, u: 2, g: 3, w: 1}. What is prob of sequence wu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 10 = 2*c, -3*a + 4*c + 24 = -2*a. Suppose -a*u - 37434 = 34166. What is u rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) - (sqrt(272) + 2 - sqrt(272))**2*-2 - (sqrt(272) + (sqrt(272) + sqrt(272) + 2 + 0 - sqrt(272)))**2) + 1 + -3 + -4)*1 + 0.\nAnswer: -1090 - 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from tqgtq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(567) + -2 + -2 + sqrt(567) - ((sqrt(567) - (sqrt(567) - (4*(-3 + sqrt(567)) + sqrt(567) + sqrt(567) + sqrt(567)))) + sqrt(567)))**2.\nAnswer: -20476 + 864*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1626 and 4878.\nAnswer: 4878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**3*x**2 - 2*i**3 - 149*i**2 - 184*i*x**2 - 2*x**2 wrt x.\nAnswer: -2*i**3*x - 368*i*x - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + (-32)\/12)*-33. Let q = -57 + d. What is the remainder when q is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 829458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o, 4*r + 2*o - 11 = 1. Let y be 2\/(4 - (-12 - 2))*2. What is the second smallest value in r, y, -21?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 + j**3 - 5*j**3 + (-j**2 - 2*j**2 + j**2)*(j - 5*j + 0*j) + 2*j**3 + 1 - 1 - 16*j**3 + 21*j**3 + 17*j**3.\nAnswer: 31*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-1)*-5 - 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11223 to the power of 1\/10, 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 (7\/(-2))\/((-6)\/20)*-376*(-669)\/104810?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2414\/1065*15)\/((3\/(-9))\/(1\/6)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jnv when three letters picked without replacement from jnuvdvvndunjqnv?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*l + 347 + 57 = 4*a, 35 = 108*l - 113*l - 2*a + 132 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 60 = 10*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*-2*2)\/(sqrt(50)\/sqrt(80)).\nAnswer: -16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 + -70.83. Let d = -11.83 - p. Put 2, 1\/2, d in descending order.\nAnswer: 2, 1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -22 - ((29 - 25) + -10)) + 7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-2\/77)*s)\/(s\/(s\/(s**(-13)\/s)*s))*s*s*s**(-23)*s**(7\/6)\/s assuming s is positive.\nAnswer: s**(-1321\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (300541\/(-537))\/((-8)\/12*(-2)\/(-108)) a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 200491613 from 2.\nAnswer: -200491611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 30 = -2*t - 0*t, 4 = o. Let p = 13 - t. Suppose -2*y = -y - 3. Solve d + 5 - p = 0, 5*d + 14 = y*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1366*w = 1373*w. Solve 3*y + 2*s - 19 = w, 2*y + 10*s - 8*s - 16 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26*p**2*t**2 + 13*p**2 + 103*p*t**2 - 237*p wrt t?\nAnswer: -52*p**2*t + 206*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569637247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -40.5. Let m = -8 - j. What is the nearest to 0 in 7, m, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 15. Let x = 13 - 8. Let n(v) = v**3 - 5*v**2 + 6*v - 3. Let z be n(3). Put b, x, z in increasing order.\nAnswer: z, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, s: 1, z: 1, j: 1, g: 1}. Give prob of sequence zg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.057? (a) 4 (b) -59\/14 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -225.6 - -192. Let w = -27.5 - g. What is w rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2401310231 + 2?\nAnswer: -2401310225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/40)\/(2*(-3)\/12)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 42*p**2\/5 - 221721*p\/5 + 221679\/5 = 0?\nAnswer: 1, 73893\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 4*d**3 - 56*d**2 - 86*d - 30. Give y(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 144653449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**5\/4 + 3*y**4\/4 - 11*y**3\/4 - 15*y**2\/4 + 23*y\/2 - 6 = 0.\nAnswer: -4, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 398\/9 at most as big as 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 190, 54777, -3, 1 in ascending order.\nAnswer: -3, 1, 190, 54777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from {w: 3, p: 1, a: 3, u: 3, i: 3, e: 5}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 145, -2, 1, -4 in descending order.\nAnswer: 145, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2018, -23074, -58158, -107270?\nAnswer: -170410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/((a**(1\/2)\/a)\/a)*a)\/a)\/a*a)**(-26) assuming a is positive.\nAnswer: a**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**3 + 0 + 2*i**4 + 10*i + 0 - 2 - 12*i as q*i**4 + s*i**3 + j*i**2 + y*i + l and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-1.4601198\nAnswer: -1.5601198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5)*g)**(-3\/4) assuming g is positive.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26711 is divided by 1557.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 7*i**6\/6 - 13*i**3\/3 - 14. Find the third derivative of y(v) wrt v.\nAnswer: 420*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/5*(-10)\/4. Let j = a - -8. Let g(t) = -j + 4*t**2 + 8 + 8. Let o(x) = x. Determine g(o(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -755*f**3*o**3 - 551*f**3*o**2 + 117*f**2*o**3 + 3*f**2*o**2 + 352*f*o - o**3 - 3*o**2 wrt o.\nAnswer: -4530*f**3 + 702*f**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n = 5*p + 21*n + 15, 4*p = -2*n - 14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2.11 * 1825\nAnswer: -3850.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 132.95193 and 0.2.\nAnswer: 26.590386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2 + 4. Let i = -16359 + 16362. Let f(q) be the first derivative of 0*q**2 + 1\/4*q**4 - 12 - 9*q + 5\/3*q**i. Calculate 2*f(z) + 5*n(z).\nAnswer: 2*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of -420*((-9)\/3 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210 divided by 605?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 3*d**2 + 1. Suppose 57 = 4*x + 3*c, 33 = -5*x - 4*c + 104. Let s be x*(-2 - 21\/(-9)). Suppose 0 = -5*u + 20 - s. What is z(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.134 to 2 dps.\nAnswer: -1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2165.\nAnswer: 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -g**4 - 136045*g**3 - 418240*g**2 + g.\nAnswer: -24*g - 816270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*l = 151*l + 28. Sort 10, l, 6, -2\/13.\nAnswer: l, -2\/13, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n - 8835 = 17*n. Let l = n + 448. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -303751\/9 + 33750. Let b = 214\/3 - 72. What is the nearest to 0.3 in 2, b, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20786 is divided by 2343?\nAnswer: 2042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -c**2\/2 - c - 3. What is the units digit of s(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 24181*j + 1. Let l(c) = 5*c. Give l(a(h)).\nAnswer: 120905*h + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -81*c**3 - c**2 + c + 2. Let p be j(-1). Does 44 divide 2\/(-2) + 14 + p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3531 + 3530.96. Let f = -7 - -7.3. Sort -5, 2\/3, l, f in increasing order.\nAnswer: -5, l, f, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24067856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 15*d + 3. Let r(h) = h. What is m(v) - 6*r(v)?\nAnswer: 9*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9422\/6057 + (-638)\/(-18)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -25. Let h = -6 - -10. Suppose 6*r = 183 - 51. Solve n*s + 6 = 3*y - 19, h*y - s - r = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011335 to four dps.\nAnswer: -0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**3 - 4*r**2 + 2*r. Let k be t(2). Sort -3, k, 0.1 in decreasing order.\nAnswer: k, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-9) - -1*54. Suppose -h*q = -1067930 + 247978. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1431943 from 375.\nAnswer: 1432318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 65 = 3*w + 2*u, -16 = -w - u. What is the remainder when 98 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 t when four letters picked without replacement from ttttttvtvvtttt.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**2 + 22*s**2 - 1828281*s + 1828281*s.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 11*o**2 - 4*o - 7. Let p be j(-11). Calculate the highest common divisor of p and 2368.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6}. Give prob of sequence qq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -6*j**2 - 500*j - 18. List the prime factors of y(-12).\nAnswer: 2, 3, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 - 20*i + 37. What is the units digit of v(22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -503 + 588. What is the remainder when o is divided by (4 - 2)\/(-1) + 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 8 - 2*b - 4*b - b. Let n be p(-7). Let k = n - 24. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**3 + i**2 + i**3 + 2*i**3 - 2*i**3 as y*i**3 + b*i + k*i**2 + f and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**3)**(2\/51))**42*i**8*i**(-8)\/i*(i**(-2\/9))**8 assuming i is positive.\nAnswer: i**(331\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 21 + 23. Differentiate -66 - c**2 - 4*c**2 + u + 9*c**2 wrt c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*v - 230 = -21*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36766677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 46 = 5*l, -t - 2*l = -0*t - 34. Let v = t - 24. Suppose 3*h + w - 37 = 5*w, -2*h - v*w = -6. Let u(k) = -k**3 + 6*k**2 + 7*k - 8. Determine u(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2*g**3 - 2*g)*(-136*g - 12 - 111 + 119).\nAnswer: 272*g**4 + 8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91.868709 - 91.269. Let k = 0.1284 - 0.7284. Let u = v + k. Round u to 5 decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -4. Let p = 0.47 + -0.87. What is the closest to 0.2 in v, -1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -459 (b) 6\/11 (c) 781\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48.80124 * 4.\nAnswer: -195.20496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(sqrt(9)*-3 - sqrt(9) - sqrt(9)))\/(-4*sqrt(99)).\nAnswer: sqrt(2)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/38, 1.6, 2, 3?\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34.892 - -33.692. What is the smallest value in -5, a, -11, 0.11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-22)\/66)\/(1\/(-27)). Suppose 5*n + b = 29. Calculate the least common multiple of 3 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*o + 3, 0 = -5*a - 5*o - 50. Find the common denominator of -2 - 75\/a - (-8)\/(-16) and -99\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 4:01 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 23. Calculate the lowest common multiple of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1108.01 + 1108. What is the fifth smallest value in 11, 3, 0, r, -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71542547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 229290.2s?\nAnswer: 229290200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 81?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 75 = -4*d, 13 = 4*d - 3*d + 5*c. Calculate the remainder when 33 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114731318 + -12806?\nAnswer: 114718512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128299314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16179.15 kilometers in centimeters?\nAnswer: 1617915000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + n + 1 + (3 - 3 + 6*n)*(7 + 5 - 3) + 26*n - 91*n + 31*n + 30*n.\nAnswer: 51*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 3*s - 37 = -3*z - 16, -48*z - 2*s = -43*z - 7 + 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/11))**(2\/57) assuming c is positive.\nAnswer: c**(2\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 7*x - 10. Let f be u(-8). Let p be (-4)\/(-14) + (-164)\/(-14). Let v be p\/8 + (-1)\/f. Solve -4*t = -v*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -58003*g**3 + 2*g**2 - 4*g - 385483 with respect to g.\nAnswer: -174009*g**2 + 4*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.005310167 to five dps.\nAnswer: -0.00531","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 10*t - 103. Let r be l(11). What is the third derivative of 0*f**3 + 3*f**4 + 3*f - f**2 + 3*f**5 + 16*f**4 + 0*f**3 - r*f**4 wrt f?\nAnswer: 180*f**2 + 288*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40 + 199\/5. Put 9, i, 1\/2 in descending order.\nAnswer: 9, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4 - 26\/36. Is 3 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1091?\nAnswer: 3\/1091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 259999 and 185?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-77))\/(592\/4884)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3 + 53473*t**2 + 374350*t + 534800 = 0. Calculate t.\nAnswer: -5, -2, 53480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, x: 1, i: 5, l: 1, n: 4}. What is prob of sequence iilx?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2. Suppose -26*d + 27*d = 18. Suppose -3*q = -d + 21. Let h(c) be the second derivative of 3*c**4\/4 - 2*c. Calculate q*h(p) - 6*k(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -0*u + 40. Let n(c) = -c**3 + 8*c**2 + c - 9. Calculate n(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(72)\/sqrt(6)) - (-2*sqrt(136)\/(sqrt(8) - (sqrt(8) - -2*sqrt(8))))**2.\nAnswer: -17 + sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*m + 669. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 14 = -4. Let c be 3\/j + (-115)\/(-15). Let l be 5\/20 - 3\/c. What is the second biggest value in -0.5, -1\/5, l?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/196)\/(900\/(-210)*(-2)\/5)\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*p**3 + 3186122*p**2\/5 + 18127475256*p\/5 + 258963282\/5 = 0. What is p?\nAnswer: -11379, -1\/70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 5*f**2 + 11*f - 1. Let h be z(-8). Let v = h - 60. List the prime factors of v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83369292407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6*v**2 - 9*v - 4. Let g(s) = -5*s**2 - 8*s - 3. Give 7*g(r) - 6*k(r).\nAnswer: r**2 - 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -104c - 2?\nAnswer: -1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -63989892 divided by -183879\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 16368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47737\/14 + -3413. What is the common denominator of j and -114*-2*3\/(-192)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -651148.88 and 123.23.\nAnswer: -651025.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - z - 11, -2*p + 15 - 2 = -3*z. Let d(r) = p - 50*r + 14*r + 12*r + 23*r. Calculate d(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19487130 to the power of 1\/2, to the nearest integer?\nAnswer: 4414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 13, 2\/5, -2\/5, -1\/12, -0.04, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkgwdddddgggdydwd. Give prob of sequence ygy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 124\/7, 12, -1 in increasing order.\nAnswer: -1, -1\/3, 12, 124\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 + 522*n**2 - 74*n - 19280. Give t(-261).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w + 4*w + 0*w + 3.\nAnswer: 7*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 10:23 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + u - 1. Let c(w) = 3*w**2 - 4*w + 5. Calculate c(r) + 2*q(r).\nAnswer: r**2 - 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 - -1)\/(-4 - -3). Suppose -c*p + p = 0. Put 5, 4, p in descending order.\nAnswer: 5, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 33*r**2 + 348*r + 540.\nAnswer: -3*(r - 18)*(r + 2)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -1 in increasing order.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 24 = 8. Suppose 2*l - 35 = -l + a, -l + y = 4*a. Calculate the remainder when 47 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4 = 82. Does 30 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.423 + 3.62. Let c = x - 0.815. Round c to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-44)\/6)\/(10\/(-105)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 3*p - 9 = 0, 0 = -2*d - 5*p + 321. What is the highest common divisor of d and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 1550 + 238. Is (4\/8)\/(2\/v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 i when three letters picked without replacement from {i: 6, b: 3, t: 6}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 0.1, -0.18, -5, 1\/2, 12?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) 3\/65 (c) 0.2 (d) 12 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((-9 - (-49 - -25) - 17) + 4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15734076 and 66.\nAnswer: 173074836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*b**2 + b + 6*b**4 + 78874 - 78875 - b**4 to m + w*b**4 + v*b**2 + o*b**3 + s*b and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6960 - 13917\/2. Let k(a) = -a + 6. Let n be k(3). Sort n, v, 2\/23 in decreasing order.\nAnswer: n, v, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -29, -4, 4 in decreasing order.\nAnswer: 47, 4, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 1000122212001110010?\nAnswer: 1000122212001110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - 5. Let i = 45 + u. List the prime factors of i.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*r - 29, 27 = 5*f - 0*r - 3*r. Let w(t) = -f*t - 3*t + 4*t. Let a(h) = 7*h**2. Determine a(w(q)).\nAnswer: 28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d, 4*n - 32 = -12*d + 9*d. Let h(m) = m**3 - m - 11 + 2 - 1 - 7*m**2 - 7*m. Give h(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231579 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000616155 to six decimal places.\nAnswer: 0.000616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2400)*5)\/((-2*sqrt(80)*2 + sqrt(80))\/sqrt(10)).\nAnswer: -100*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2764942709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/2*r**2 + 1\/2*r**3 + r.\nAnswer: r*(r - 2)*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-7) - 275\/175)*0. Solve -5*h + t*h = 5*r, 2*h = -r + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3347 and -0.01?\nAnswer: -33.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 176, -1, -403 in decreasing order.\nAnswer: 176, -1, -403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-263*f - 117 + 117)*(-2 + 0 + 0)*(181 - 181 - 14*f) as p*f + c*f**2 + g and give c.\nAnswer: -7364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**5 - 8747*s**2 - 38809*s.\nAnswer: -20*s**3 - 17494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*x**4 - 31010*x**3 + 4734585*x**2 wrt x?\nAnswer: 576*x - 186060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**3 - 3*r**2 + r - 22. What is c(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1\/4))**(-28\/9)\/(f**(-2\/3))**(1\/16) assuming f is positive.\nAnswer: f**(-277\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*v + 20*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*((-5*q - 3*q + 2*q)*(-2*q + 4*q + 0*q) + (-6 + 6 - 13*q)*(1 - 1 - q)).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 i when three letters picked without replacement from {h: 1, t: 2, i: 1, f: 1, r: 1, m: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 173348 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-12))\/5*(57 + -24).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**4\/24 + u**3\/6 + 43*u**2. Let p be (-19)\/(-28) + (-3)\/12 - 1943\/(-203). Give o(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z - z - 94*z**2 + 773*z**2 + 240*z**2 to s + c*z**2 + h*z and give c.\nAnswer: 919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/6 + 19*k**3\/6 - 44*k**2\/3 + 46*k\/3.\nAnswer: k*(k - 2)**2*(k + 23)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 3*g**2\/2 + 4. Let u(m) = m. What is u(b(o))?\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5307833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34226 + -112?\nAnswer: 34114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12356987 to the power of 1\/3, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 divided by 9?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (1 - (1 + (5 - 1 - 10)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -11. Let o(n) = -n**3 - n**3 - n**3 - 2*n**3 - 6*n**2. Suppose -a + 5 = -0*a. Let u(v) = 4*v**3 + 5*v**2. Determine a*o(k) + c*u(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 86991, -2, 2 in ascending order.\nAnswer: -13, -2, 2, 86991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 120 = 2*c, 5*g - 5*c - 178 = -c. What is the greatest common factor of g and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -7 - (-1 + 17 + -14 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 20*n**2 + 23. Is l(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9, -19, -29, -39, -49, -59?\n\"Answer: -10*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j**2 - 9*j - 16. Let b be 12\/9*-3 + -1. Let m(y) = -10*y**2 + 13*y + 24. Let f(o) = b*m(o) - 7*q(o). What is the tens digit of f(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1710208?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-10)\/8 - -1). Let w = 16 + i. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = x - 49 - 46, -x + 75 = j. Let g = x - -27. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + (sqrt(5) - ((sqrt(80)*1)**2 - sqrt(5))) - (1*sqrt(55) - sqrt(55))\/sqrt(11) - sqrt(55)\/(sqrt(55)\/sqrt(5))*1.\nAnswer: -80 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millisecond in microseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -58.6 * 237176\nAnswer: -13898513.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventeen halves of a micrometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 340876 - 340865.40114. Let r = h + -10.6. What is r rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 411012002 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**4\/3 - u**3\/3 + 4*u**2. Let r(l) = -l**2. Give b(r(d)).\nAnswer: -8*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 651 - 380. Suppose r - 583 = 5*x, -312 = -r + 3*x + f. Calculate the greatest common factor of r and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1718 (b) 7 (c) 495 (d) -1\/2 (e) 0.5 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 433431 (base 6) in base 15?\nAnswer: a91d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 9*s**2 + 7*s. Let g(m) = 1 + 3*m - 5*m - 11*m**2 + 2*m**2 - 5*m. Let u(w) = -2*c(w) - 3*g(w). Is u(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 53, -1\/3?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(3\/8)*i)\/(i**6*i)*(i\/(((i*i**(-4)*i*i)\/i)\/i))\/i**(2\/7) assuming i is positive.\nAnswer: i**(-51\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8)*g)\/g*g*g*g**(-10)*g**3*g**(-1\/11) assuming g is positive.\nAnswer: g**(-144\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 36 (b) -2 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1615.2 + 1794. What is s rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of t**3\/6 - t**2\/2 + t. Let c be g(6). Suppose -10 - 55 = -c*b. What is the greatest common factor of b and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 2*h**2 + 1. Let x be a(4). Let k = x + 43. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**4\/24 - 37*u**2\/2 - 2*u - 8. Let g(r) be the first derivative of w(r). Let s(l) = 6*l. What is 10*g(q) + 2*s(q)?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) - sqrt(2916)*1)*-3)\/(sqrt(132)\/(sqrt(275) + sqrt(275)*2 - sqrt(275))).\nAnswer: 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 7*s - 72. Suppose 3*n + 6 - s = 0. Let m be (-5 - 21\/(-6)) + (-14)\/(-8). Sort 0.3, m, n in decreasing order.\nAnswer: n, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1962*h**2 + 540*h**3 - 99*h**3 - 1137*h**3 - 1224*h**2 + 2*h - 4516*h**3 wrt h?\nAnswer: -31272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2066, -3644, -5222?\n\"Answer: -1578*t - 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/28 and -89\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 44*y - 6. Suppose 5 + 22 = 9*g. Does 62 divide i(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -11*g**7\/1680 + g**6\/15 + 17*g**5\/60 - 18*g**2. Let b(h) be the third derivative of y(h). List the prime factors of b(-5).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201483344092548*k - 1 + 1 - 201483344092549*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 5*p**2 - 8*p + 12. Let a be x(6). What is the second derivative of a*y - 13*y - 5*y + 14*y**2 wrt y?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 4537881?\nAnswer: 20\/4537881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 17*d**2 - 1413*d + 22341. Determine x(16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*k + 43 + 3 = 0, -5*n + 82 = k. Suppose -n = -5*j - 4*h + 50, 29 = 4*j - 5*h. Calculate the remainder when 96 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5 + 13*m**4 - 15*m**3 - 52*m**2 + 28*m = 0.\nAnswer: -7, -2, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k**2*l**2 + k**2*l - 2239635*k**2 - 19*k*l**2 - 2*k*l + 7558*l**2 wrt l.\nAnswer: -8*k**2 - 38*k + 15116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2021184 divided by 396.\nAnswer: -5104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 18*t - 65. Is 2 a factor of z(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -1. Let n(b) = 4*b + 6. Let r(s) = 6*l(s) + n(s). Let m be r(0). Suppose -g = 1, m = -d + 3*g + 4 - 0. Solve 4*c - 10 = 2*c, a - d = -c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4966\/3 - 1656. Let t = 0 - -2. Let h be -7*1 + (-176)\/(-22). What is the nearest to h in -2.6, n, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*y + 140841 = -119843 - 117090. Calculate the remainder when y is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*w - 24*w = 6642. What is the highest common factor of 144 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 279 and -11.\nAnswer: -3069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5701, -5707, -5713?\nAnswer: -5719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*r + 18 = 91*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.0089 in 3\/2, -2, -2\/33, -5?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + -3 - sqrt(33)\/sqrt(275))**2.\nAnswer: -354*sqrt(3)\/5 + 10668\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 5*u**2 - 5*u - 2. Let r = -144 + 100. Let q be -46 + (-40)\/(1 + -6). Let p = q - r. Calculate i(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -23\/9 (b) 0 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31634 (base 7) in base 3?\nAnswer: 101210022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by 20497.\nAnswer: 35\/20497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*w - 7. Suppose -m + 22 = 3*c, 8 = w*c + c. Solve -4 = -4*b - m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*k - 4. Suppose -169 = k*h - 465. What are the prime factors of h?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 213 = -5*p, 0 = -0*i + 5*i + 2*p - 1019. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 15. Let o be (-1494)\/332 + (1 + 2)\/(-6). Suppose 2*m - 3*s = -5, m - 5*s = -3*m - 9. Sort o, m, k.\nAnswer: k, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 1. Let v(k) = -193*k**2 - 17*k + 29. Let r(c) = v(c) - 3*z(c). Let x be r(6). What is x rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (-3*-2*sqrt(7))**2 + (sqrt(7) - (sqrt(847) + 1 + sqrt(847)))**2)*2.\nAnswer: -33450 - 420*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -114457, -228937, -343417, -457897?\nAnswer: -572377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -26.7, -5, -15, -0.5, -5\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.22585 to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -55*t**2 + 222*t - 10. Calculate f(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10806000 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8412770 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 4. Let u = -8 + -4. Let a be y(u). Let x = -207 + 216. Do x and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 85 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -411484867 divided by -73.\nAnswer: 5636779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**4\/4 + 5*d**3\/2 - 17*d**2\/4 + 2*d = 0. What is d?\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1849 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(2\/5)\/((-56)\/140)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 10:11 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -12. Let s be (-9)\/(-7) + (-4)\/z. Let k(x) = -x**2 + 14*x - 20. Let a be k(12). Sort s, -4, a in descending order.\nAnswer: a, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13220430 + -10?\nAnswer: -13220440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 19 = -25 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - 19. What is b(-20)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.8 and 3130.406.\nAnswer: 3129.606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52115 or 37\/6?\nAnswer: 37\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + -40.99936. Let y = i + -0.002. What is y rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 2, 8, 50, -53 in increasing order.\nAnswer: -53, -5, -3, 2, 8, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-9))\/(7\/63).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -2\/11, 504 in increasing order.\nAnswer: -4\/7, -2\/11, 504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8458 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 0 + 0*q**4 + 0*q**3 - 2*q + 17\/42*q**7 - 22\/15*q**5 + 0*q**6 + 64*q**2. Find the third derivative of w(r) wrt r.\nAnswer: 2040*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/3*39\/338. Let k = 9.6 - 1.6. Let w = k + -7.9. What is the nearest to w in -0.1, h, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*u + 87*u + 3477 = -87*u + 338*u for u.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 3:25 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -7. Let o be (130\/t)\/(-5)*-3. Solve -2*u = s - o, u = -s + 2*s + 2 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 = 2*l + 17, 3*l - 2*w + 21 = 0. Let g = 12 + l. Suppose o + 0*o = -3*r + 5, -4*o = -g*r - 20. Is r smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.9 - -1.1. Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -470*w**5 + 23*w**2 + 15*w wrt w?\nAnswer: -28200*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 1. Suppose 0 = -14*t + 11*t - 2*h + 74, t + 5*h = 3. Let j(i) = 24*i**2 + 2*i**2 + 4 + 4*i - t*i**2. Determine j(q) - 4*x(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*1\/4 - 5\/(-2). Suppose -4*k = v - 54, v - 41 = -b*k - k. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 6. Let i be j(11). Let u(v) = -v**2 + 4*v + 5. Let f(c) = -c + 5. Let o be f(0). Let k be u(o). Put 2, i, k in decreasing order.\nAnswer: i, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.34282 rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1987 - 1987 + 1724*q**3.\nAnswer: 1724*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1227 - -1226.6. Which is the smallest value? (a) -0.5 (b) -0.3 (c) 0.12 (d) 4 (e) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(5\/(-30)*-6). Let v be (116\/145)\/(s\/5). Solve -3*q = 2*q - v*j + 5, 4*j = 2*q + 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-10)\/z)**(-7)\/(z**(1\/6))**(-26) assuming z is positive.\nAnswer: z**(244\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12517 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 141 + 8*u + 136 - 546 + 137 + 140 + 45*u**2. Let p(s) = -15*s**2 - 3*s - 3. Determine 3*i(l) + 8*p(l).\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 1503*m. Let l(f) = 2*f. What is l(a(i))?\nAnswer: 3006*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 115909, 112685, 109461, 106237, 103013, 99789?\n\"Answer: -3224*i + 119133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -109098, -218142, -327184, -436224, -545262, -654298?\n\"Answer: f**2 - 109047*f - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-5) + (-1089)\/55. Calculate the remainder when 37 is divided by (w\/(-3))\/(11\/((-132)\/(-8))).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -3243741 at least 114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -377184, -754405, -1131626, -1508847?\n\"Answer: -377221*y + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 1\/6, 9, 5, -0.1, -1.9 in ascending order.\nAnswer: -1.9, -0.1, 1\/6, 1\/4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 41*h**2. Let z(s) = -8*s**2. Let d(p) = -2*i(p) - 11*z(p). Let x(c) = 1. Let n(l) = -l**2 + 4. Let o(m) = -n(m) + 4*x(m). What is o(d(w))?\nAnswer: 36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -273*f**4 + 26*f**2 - 13*f + 852. Let y(d) = -136*d**4 + 12*d**2 - 6*d + 425. Let x(s) = -6*l(s) + 13*y(s). Find the first derivative of x(u) wrt u.\nAnswer: -520*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4*l - 17 = -5, -l - 9 = -x. Let g(k) = -14*k - k**3 - 12*k - 20*k**2 + 24*k - x + 2*k**3. Let t be g(14). Round t to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -15*d**2 + 3*d + 54. Let v be h(2). Let m(l) be the third derivative of v + 2\/3*l**3 - l**2 + 1\/24*l**4 + 0*l. What is m(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 - 37. Is o >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 5*y - 4. Let o be l(-6). Let k(f) be the first derivative of -1 - 2*f + 1\/2*f**2. Give k(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2846.\nAnswer: 2, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-252)\/(-30))\/7)\/((-27)\/(-180))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 1986842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/52567680 and 17\/18392.\nAnswer: 578244480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 44015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 8:19 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2520767547 to the power of 1\/2, to the nearest integer?\nAnswer: 50207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-1 - (-2 - -7))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 17 (c) -5 (d) 2\/9 (e) -0.3 (f) 47\/10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 70 divided by -253\nAnswer: -70\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l - 4. Let s(f) be the first derivative of -f**2\/2 + f - 10. Give -p(t) - 3*s(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18, 14, -14, -78, -190, -362, -606, -934?\n\"Answer: -2*k**3 + 10*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -20686988 divided by 10343494\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-31\/2)))\/((v*v**0*v)\/v))\/(v**(-23))**(-6\/7) assuming v is positive.\nAnswer: v**(-73\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16 + 4175d?\nAnswer: 41747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 292\/3 - 97. Let b = -16 + 10.4. Let v = -0.6 - b. What is the nearest to t in -5, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20176)\/(-2716)*2\/(-8)\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006826671 to six decimal places.\nAnswer: 0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77684 + -27447. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-130977)\/33957)\/(450\/(-28)).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 105.8 + -115. Let h = 58 + -49. Let f = h + x. What is the smallest value in -3, f, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b. Let v(g) = -10*g + 67. What is v(c(x))?\nAnswer: -10*x + 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 8 = 4. Sort l, -3, 4, -2 in decreasing order.\nAnswer: 4, -2, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 20, -3*p + 186*c - 19 = 181*c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33238.\nAnswer: 2, 16619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2.362749mg?\nAnswer: 2362.749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/(4400\/60)*4280\/(-30).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -2*z - 132, -2*d + 5610 = 5*z + 5646 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1673509377?\nAnswer: 3, 79, 7061221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 times -1.99?\nAnswer: 67.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(490) + sqrt(10))\/(1*sqrt(80) + sqrt(5)))**2.\nAnswer: 72\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssssssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122 + -134. What is the closest to -0.1 in f, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 12*w - 11. Let f be r(-13). Let y(z) = -z**3 + 6*z**f + 4*z - 5*z + 6*z. Calculate y(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20635706 or 20635700?\nAnswer: 20635706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2038.9331 + 2041. Round q to 2 dps.\nAnswer: 2.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7 + 5 + 1*(0 - 1). Which is the third biggest value? (a) w (b) 2 (c) 2\/15 (d) 6\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/(((-8)\/10)\/(-2)). Suppose 0 = -5*j + g + 70. Is j\/2*(1 - -1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 6*w**2 + 6*w. Let p(k) = 11*k**2 - 33*k - 12. Let h(q) = -4*q**2 + 11*q + 4. Let m(z) = 8*h(z) + 3*p(z). Let a be m(11). Determine x(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1590 times 5551\nAnswer: -8826090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*g - 31. Let s(p) = 3 + 3 - g - 2*p. Let j(m) = -4*m + 3. Let f(y) = 5*y - 4. Let d(v) = 3*f(v) + 4*j(v). Determine d(s(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18933123 and 1046?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + (10*6 - 3)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 PM and 11:07 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -64*m**2. Let o(d) = 42*d**2 + 30*d**2 - 86*d**2. Calculate b(o(q)).\nAnswer: -12544*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*k + 15 = 0. Let h be (28\/(-8) + k)*-16. Suppose -f + h = 3*f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28796, 28797, 28798, 28799, 28800, 28801?\n\"Answer: w + 28795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -17. Let j be (-18)\/(-27)*(-2)\/6. Let y = -1073 - -1077. Put y, j, m in descending order.\nAnswer: y, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = z - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23.6 - 24. Which is the nearest to 1? (a) k (b) 0.09 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3968 + 5461. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.077 in 1, -34.37, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -243833\/44 + 21995\/4. Let j = 43 + z. Which is the third biggest value? (a) -0.2 (b) j (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 111222*s + 22203 with respect to s.\nAnswer: 111222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -77445 divided by -12230?\nAnswer: 15489\/2446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(1\/6)\/z))\/z**(1\/7))\/((z\/z**(3\/11)*z*z)\/((z**10*z*z)\/z)) assuming z is positive.\nAnswer: z**(4603\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4035 at most -4017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 737?\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 - 9*b + 3. Let c(j) = j. What is c(a(i))?\nAnswer: -2*i**2 - 9*i + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 447045 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, -4, 2, -14 in increasing order.\nAnswer: -14, -4, 2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**5\/3 - w**4\/6 - w**3\/2 - 4*w**2. Let p be t(9). Let c = p - 3259\/2. Calculate the common denominator of 89\/20 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4161?\nAnswer: 3, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103 + 64. Let h = 38.9 + d. Let t be (-62)\/22 + (-2)\/6*-9. Sort h, t, -21 in ascending order.\nAnswer: -21, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 732.6 rounded to the nearest ten?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*y**2 + 0 - 1 + 1 - 9*y**3 - 10.\nAnswer: -9*y**3 - 22*y**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(19) + sqrt(76)) + -2.\nAnswer: -2 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -205 + 8?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 - 3*m. Let x(r) = 2*r**3 - 3*r. Let o = 8 + -12. Let j(i) = o*y(i) + 3*x(i). Find the second derivative of j(a) wrt a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-3 - -8) + -7 + 2 - -6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 135497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4111 is divided by 242.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 11*h**2 - 15*h - 31. What is n(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -6*g + 4*g. Let l = 62 - g. List the prime factors of l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*t + 216*t = 380. Let n = -115 + 191. Let j be 2\/3 - n\/(-12). Solve q + q - j = -d, 3*q + 17 = t*d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 37.6 - 38. Is y < -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6*a)\/a*a\/(a*a\/(a*a**(-15)*a))*(a*a**(1\/27))\/(a**(1\/20)\/a) assuming a is positive.\nAnswer: a**(-3247\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 4*g - 5*w - 414, -3*w - 107 = -g. List the prime factors of g.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -3. Let m(k) = -3*k**2 + 49 + 5*k - 54 + k - k. Let u(a) = -12*a**2 + 21*a - 21. Determine c*u(q) + 21*m(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of z**2 - 14 + 0*z**3 - 11\/24*z**4 + 0*z. Let s(x) = 10*x**2. Determine j(s(v)).\nAnswer: -110*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -6\/5, -5, 8 in increasing order.\nAnswer: -5, -6\/5, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101 (base 6) to base 5.\nAnswer: -3334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7114012 (base 8) in base 12?\nAnswer: 76454a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/7)\/(36\/(-12)). Let p be (6\/8 + 0)*8. Let a be (-1)\/3 + (-4)\/p. Is a at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 83 = g, 8*d - 12*d = 3*g - 344. What is the lowest common multiple of 60 and g?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 4*a**5\/5 + 3*a**4 - 20*a**3 + 34*a**2 - 24*a - 89. Solve k(c) = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 4:00 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2649197813 to the nearest integer?\nAnswer: 51470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49483 by 6.\nAnswer: 49483\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 605361 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(3\/5))\/y*y*((y*y**1)\/y)\/y)\/(y*y*(y*y**(-1)*y)\/y)**(-5\/9)*((y\/y**1)\/y)\/(y**(-4\/11)*y)*y**6*y*y*y**7 assuming y is positive.\nAnswer: y**(7363\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, 25, -2, -15\/4?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**4 + 16*t**3 - 120*t**2 + 256*t + 4997. Factor r(j).\nAnswer: 4*(j - 2)**2*(j + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 142 + -97. Let q = 45.033385946 + -0.033491946. Let x = k - q. Round x to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*r**3 + 1 - 17*r + 2*r**4 - 42*r**3 - 2*r**2 - 43*r**3 to the form h + m*r**2 + p*r**4 + d*r**3 + q*r and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 327649694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 2 - 5)*(61*k + 45*k - 78*k) in the form b*k + g and give b.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u. Let r(i) = i**2 + 3*i - 3. Let l(h) = h**2 + 5*h - 5. Let t(j) = 3*j - 2*j - 2*j. Let a be t(3). Let b(f) = a*l(f) + 5*r(f). What is w(b(s))?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 138511940*m - 415535856.\nAnswer: 4*(m - 34627988)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.01 + -0.01. Let r = u + 15. Let i = r - 16.0000007. Round i to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 568 = -5*q - 5*y + 538, 14*q - 2*y = -52 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 10*o - 516 = 0. Let k = o - -61. Let a = k + 34. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -144*l + 24*l - 107*l. Let n(o) = o**2 - 2*o - 14. Let y(k) = -6*k**2 + 14*k + 98. Let f(g) = 14*n(g) + 2*y(g). Calculate f(d(m)).\nAnswer: 103058*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/182*(-28652)\/(-1102)?\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 93*z**4 - 2688*z**3 + 2343*z**2 + 252*z = 0. What is z?\nAnswer: -3\/31, 0, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3 = -5. What is the remainder when (6\/l)\/((-4)\/(-32)) is divided by 4 - (14\/35 + 7\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(1 + o**2 - 1)*(-9*o**3 - o**2 + o**2).\nAnswer: -9*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10492 and 150328?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Add together -249673273 and 333.\nAnswer: -249672940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 108*p - 56*p - 14 - 48*p + 9.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccecckekcece. What is prob of picking 1 c and 1 k?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4 + 33\/12. Suppose -4*a + 20 = 0, -l + 6*l + 3*a = 20. What is the third biggest value in 4, l, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1399680 divided by -10368\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 9*r + 12 - 3*r**2 - 3*r**2 - 5*r**2 + r**3. What is the units digit of d(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-30)\/5)\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.14 + 0.03. Let r = 0.0988 + h. Round r to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/5, -6\/19, 2 in ascending order.\nAnswer: -6\/19, 0.2, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 55170 (base 10) in base 3?\nAnswer: 2210200100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 6*o = -7*o - 3, q + 5*o = 23 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.6592 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 330222*y**3 - 15118*y**2 + 5*y + 2 wrt y.\nAnswer: 1981332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.11 + -13.39. Let d = -13 - r. Let x = -43\/3 + 14. Which is the nearest to x? (a) 1\/9 (b) 0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201551?\nAnswer: 7, 28793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 92592 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - 230)\/(-4) + 4. What is the third derivative of r*i**2 + 20*i**2 + 5*i**3 - 3*i**3 + 41*i**2 + i**4 wrt i?\nAnswer: 24*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 3*k + 45, 2*o + 3*k + 10 = -20. Let y be (2\/o)\/(1\/(-3)). Factor 0*h**3 + 4\/5*h**2 - 2\/5*h**5 + y*h - 4\/5*h**4 + 0.\nAnswer: -2*h*(h - 1)*(h + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z**5 + 28*z**4 + 520*z**3 + 992*z**2 - 1536*z = 0.\nAnswer: -6, -4, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -25*w**2 + 2830*w - 521. Calculate h(113).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (182\/(-390)*(-70)\/49)\/((-2)\/6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1916742 and 1830?\nAnswer: 9583710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*j - 6. Let f = j + -3. Is (-1521)\/(-12) + 3\/f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5922, 27786, 49650, 71514?\nAnswer: 93378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 62? (a) -0.04 (b) 0.4 (c) -3 (d) 17 (e) -1\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l - 10 = 28*l. Let c be (-11 - 5)*l\/2. Suppose f + 3*g - g + 7 = 0, -1 = -5*f - g. Solve -4*j - c = -4*w, -4*w + 3*j + f = -14 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, s: 1, k: 2, y: 2, z: 1}. Give prob of picking 1 s, 1 z, and 1 n.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1713321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 122 + -141.4. Let r = y - -19.3564. What is r rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -791*r**2 - 2*r + 3*r**4 + 0*r + 3*r + 280*r**2 + 2*r to y + f*r**4 + o*r + v*r**3 + a*r**2 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 248926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 3 - 3)*(-113*k - 137*k + 103*k) + k - k + 3*k + 3*k + 4*k - 5*k)*(-3*k**3 + k**2 - k**2) to s*k + h*k**2 + a*k**4 + i*k**3 + o and give a.\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 2*u - 11, 2*j + 0*u - u = -6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 16. What is the smallest common multiple of 2\/r + (-114)\/(-10) and 29?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0*2\/2)\/(-1). Let i(t) = -52*t + 108*t - 55*t + 21 - 4. List the prime factors of i(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) -2\/3 (b) -1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*k = -52*k - 5271. Let s = k - 251. Suppose 5*o - 9 = 2*i, -1 + 4 = i. Solve o*v - 3 = -u - 2, s = 5*v + 4*u - 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 161 + -172. Put 2, -2, a in descending order.\nAnswer: 2, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (188 - 198) + 12 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*w - 53*w - 2277 = -33*w for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/6 and 21\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 16. Which is the closest to 1? (a) 2\/9 (b) 1\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 36 = -2*d, -14 = 3*d - 3*l + 4. Let a(o) = o + 7. Let k be a(d). Let f(j) = j**2 - 4. Let y be f(k). Solve -y*r + 16 = -4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5986*z**2 + 29934*z - 20.\nAnswer: -2*(z - 5)*(2993*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12690 - 7981. Let b = a + -2901. Let i = -63284\/35 + b. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12790610 divided by -19\nAnswer: -673190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 o when two letters picked without replacement from zxbzodzxozbzzodb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22395*x**3 + 26127*x**3 + 31098*x**3.\nAnswer: 34830*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 13, -5, -29, -7 in decreasing order.\nAnswer: 13, -1, -5, -7, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 676*h**2 - 24277*h - 1237. Calculate o(-38).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*b - 5 = -23, 4*u = -4*b. What is the fourth smallest value in 0.1, -1, u, -106?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 15. Let h(y) = -6035*y**3 - 6*y**2 + y - 8. Let u be h(f). Round u to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 + 5*f - 4. What is v(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.11 (b) 5 (c) -748 (d) 1 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/6)\/((-2)\/(-12)). Let v = 25\/46 + -1\/23. Does v = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c - 110. Let o be p(-14). Solve o = 4*y - 5*n, -4*y + n + 0*n + 10 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -457*l - 83*l + 4128 - 16548 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/2)\/(2 - 6)*2. Put 1\/3, v, -0.3 in increasing order.\nAnswer: v, -0.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 31*g**2. Let b(x) = 6012205*x. Calculate j(b(u)).\nAnswer: 1120544877822775*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v. Let g(o) = 29*o**2 + 3*o. Let b(k) = 206*k**2 + 22*k. Let q(x) = 6*b(x) - 44*g(x). Determine t(q(a)).\nAnswer: -240*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**2 + 10*x**2 - 14*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**2 + 517506. Let q(z) = 46*z. Determine v(q(s)).\nAnswer: -6348*s**2 + 517506","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 - (7 + -1 + -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**3 + 2078*g**2 = 0.\nAnswer: -1039, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 270 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**3 + 2*s**2 - 10*s - 3. Suppose 34*d + 282 = 180. Let m(v) = -4*v**2 + 0*v**3 - 9*v - 2 + 5*v**2 + 2*v**3. What is d*m(h) + 2*x(h)?\nAnswer: -2*h**3 + h**2 + 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3088 + 12034 = 142*i. What is the smallest common multiple of 378 and i?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -0.48 (b) -2.4 (c) 0 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -990 by -110.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-2)\/15)\/(32\/40)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + 0)**2 - (sqrt(153)\/(sqrt(18)\/sqrt(2)))**2.\nAnswer: 2040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61083622*3.\nAnswer: -183250866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 195320 != 195288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3615)\/385 - (-2)\/(-11). Let x be 2 + (-27)\/12 - 429\/44. Is g less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4426200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11691.15 and 3323213.\nAnswer: 3311521.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 95689984.895 and -24?\nAnswer: 95690008.895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0)*(-12*z**5 + 21*z**5 - 18*z**5) + 11*z**5 + 486*z**4 - 486*z**4.\nAnswer: 38*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 greater than 99143\/717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a micrometer in nanometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 9ac344?\nAnswer: -9ac347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50921 is divided by 472?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 12, -3, 7\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256095634 is divided by 1711?\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -2111?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwv when three letters picked without replacement from {v: 4, w: 6}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -2639018.\nAnswer: -6\/1319509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*y**3 + 2*y**3 - 14*y**3)*(8*y + 18*y - 7*y) - 2*y + 2*y + 2*y**4 to i*y + m*y**2 + s*y**4 + k*y**3 + r and give s.\nAnswer: -682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61.6 + 10.6. Let p = 51.000074 + k. What is p rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1\/2 (c) -698 (d) 0.4 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (21 - 22) + -40.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -2787 take away 156?\nAnswer: -2943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 459705, 1838836, 4137389, 7355364, 11492761, 16549580, 22525821?\nAnswer: 29421484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243 = 4*i - i - 15*o, 0 = 3*i - 5045*o + 5042*o - 39 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 160*j - 831. What is h(-153)?\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14189 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80 - (12 + -54 + 1).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 4, -27, -6, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/12)*o)\/(o\/((o\/(o\/(o*o**(-11))))\/o)))**(11\/3) assuming o is positive.\nAnswer: o**(-1463\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express b**4 + 90 + 2*b**2 - 2*b**4 - 91 + 13*b as x*b**3 + s*b + p*b**4 + w + a*b**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-232)*172\/43*(-1)\/(-5)?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*3 + (-9 - 4002\/(-437) - 61504\/608)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322 is divided by 101?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 5 = 4*g + 3*b, -5*b = 2*g + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -1. Suppose g = -4*a - 5*z - 26, 5*a - 2*z - 2*z = -12. Let o be (0 - a)\/(-2 + 1). Put -2\/3, o, -5 in decreasing order.\nAnswer: -2\/3, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 5. Let r = -1.16 + 1.06. What is the third smallest value in i, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + sqrt(12).\nAnswer: -6 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 66. Let c = x - -18. List the prime factors of (-308)\/c - (-1)\/5.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -880?\nAnswer: -875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.068 - 3.9. Let u = n + -0.032. Which is the smallest value? (a) -1 (b) 0 (c) u (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04273042 - -0.0427. What is h rounded to 6 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.32 and 0.057?\nAnswer: 0.01824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 7*n**2 + n + 10. Determine c(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2405508*v + 439*v**3 + 2405508*v.\nAnswer: 439*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * 706552.\nAnswer: -9185176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1739285.7 or 15?\nAnswer: 1739285.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of v**4 + 48*v**3 + 2*v**2 + 2066*v + 1514258 wrt v?\nAnswer: 4*v**3 + 144*v**2 + 4*v + 2066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271.9162mm to centimeters.\nAnswer: 27.19162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -43505*b*w - 13117*w wrt b?\nAnswer: -43505*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1) + 24 + (-12 - -19 - 60).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 8.5. What is the nearest to -1\/2 in 3, a, 4\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 4:47 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + m - 4*d + 52 = 0, 5*d = -3*m + 50. Suppose 5*y - m = -2*u, -2*y - u = 2*u + 3. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpappavcacpyppvpaap. Give prob of sequence pvy.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2244 and 648720?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 5*w + 471. Give u(16).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4594*k**2 - 13041*k**2 - 19 + 5010*k**2 + k**3 + 4223*k**2 to the form s + h*k**3 + w*k + r*k**2 and give s.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 0.5 (b) -0.71 (c) 1\/351 (d) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 108 times -2817536\nAnswer: -304293888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*f - 1845, -4*h + 1108 = -3*f - 1317. List the prime factors of h.\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1684 to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -5 + 0*t**2 + 0*t - 1\/3*t**3. Let m(k) = -k**2. Determine m(s(b)).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41213, 41212, 41211?\n\"Answer: -d + 41214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1010.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2 + 1 + 2*a**2 + a**2 - 2. Let b be q(1). Let h = 5 + b. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 8 = -4. Suppose w*a - 3*a = 90. Calculate the least common multiple of (-2)\/4 + 55\/a and 9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -329*j + 1102*j - 336*j - 342*j.\nAnswer: 95*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-2 - 39\/(-21)). Suppose -4*h + 0*k - 27 = -3*k, -4*k + 23 = -h. Which is the smallest value? (a) h (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x - 2*x - 3*x)*(-x**2 + 7*x - 7*x) - 2*x**3 - 5*x**3 + 5*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338404926.\nAnswer: 2, 3, 43, 149, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91852280.041 + 91784639. Let b = q + 67557. Let c = b - -84. What is c rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2. Let q(y) = -4307*y - 2891. Let c(i) = 2*i + 7. Let b(h) = -413*c(h) - q(h). Determine n(b(p)).\nAnswer: 48469444*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 6291*n - 37749. What is r(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4, -3*r + l = -25289 - 20318. Is r a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 15*r**2 + r + 6. Let s be q(15). Let z be (-2)\/42 - 6\/s. Is 0 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 569849*y - 2849248. Calculate w(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1474000 to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**4 - 6*d**3 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -4*r + 3*k, -r + k + 50 = -0*k. Calculate the common denominator of 25\/33 and r*((-57)\/(-54) - 1).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/(-98) + (-10)\/4*(-22284206)\/490 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4815 divided by 3?\nAnswer: 1605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39542 or -5?\nAnswer: -39542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*m - 63*m + 4 = 0. Factor -1\/3*x**4 + 0 + 0*x + 0*x**m - 1\/3*x**5 + 2\/3*x**3.\nAnswer: -x**3*(x - 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*b**3 - 5*b**3 + 77*b**3.\nAnswer: 86*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.65117 days in weeks?\nAnswer: 6.80731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 - 1.38. Let s = 3.18 + w. Sort -1\/2, -2, s in increasing order.\nAnswer: -2, -1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j = 6 + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(-2*v**3 - 3*v - v**2 + 2*v**2 + v).\nAnswer: 2*v**3 - v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**3 - 17*h**2 - 27*h - 27. Let o(w) = -12*w**3 - 69*w**2 - 107*w - 107. Let t(q) = -2*o(q) + 9*z(q). Is t(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1203 and 20.\nAnswer: 24060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5486 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**4\/4 - 7*j**3\/3 - 7*j**2\/2 + 8*j + 1. Calculate the remainder when 25 is divided by c(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68*x**2 + 122*x - 70*x**2 - 379*x + 100*x**3 wrt x?\nAnswer: 600*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8300659 to the nearest 1000.\nAnswer: -8301000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w**3 + 8*w**2 - 2*w - 11. Let p(j) be the second derivative of j**5\/5 + 5*j**4\/12 - j**3\/6 - 7*j**2\/2 - 306*j. Calculate -8*p(h) + 5*z(h).\nAnswer: -2*h**3 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 5*n**2 - 3*n - 9. Let q be s(-5). Suppose 2989 + 7169 = q*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*a = 7371 + 11197, 5*t + 3*a = 18554. What are the prime factors of t?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-32)\/(-14) - 2) + (-400)\/(-70). Let h(d) = -6*d**2 + 36*d + 3. Let p be h(n). Is p\/2*-971*(-6)\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 2)*(-2 - 1 + 2) - 1 + 3 - 5)*(584 - 584 - 28*p).\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 4*p + 4 = 0, 2*r + 5*p = -20 + 48 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29 and 23913.\nAnswer: 693477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + sqrt(19) + 0.\nAnswer: 2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 22843878 - -0.8\nAnswer: 22843878.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000039244 rounded to six dps?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -1\/3 (b) -2\/21 (c) 646\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 3*z**2 - 3*z + 2. Let a be u(-2). Suppose 0 = n - 0 - 20. What is the lowest common multiple of n and a + -6 - 8\/(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.18 - 0.04. Let w = v + -0.54. What is the smallest value in w, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.6 + -1.4. Let w be ((-4)\/(-30))\/(2\/(-6)). What is the closest to 0.2 in -5\/2, w, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (143 + -26 - 69)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2592, -10226, -22924, -40686, -63512?\n\"Answer: -2532*i**2 - 38*i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12855671 and 0.03.\nAnswer: -385670.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -14. Solve -2*g + s*t + 4 = 3*t, 0 = 2*t - 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/1)\/(2\/8). Suppose 2*k - x*k = -4. Factor 4*y**2 - 2*y**2 - y**k.\nAnswer: y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*d*r**3*w + 184*d*r**3 - 620*d*w + 2*d - 3*w + 2 wrt r?\nAnswer: 42*d*r**2*w + 552*d*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(0 + (-2)\/9). Let n be 2\/(-4)*8\/(-14). Let w be ((24\/15)\/(-2))\/1. Which is the third smallest value? (a) n (b) w (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -457 - -462. Let d(u) be the second derivative of 0*u**2 + 0*u**4 + 0 + 1\/5*u**q - 4*u + 1\/3*u**3. What is the second derivative of d(b) wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/924*(-3)\/(0 - 1)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(448) - (sqrt(448) + -2)*2) + sqrt(448) + sqrt(448) + (sqrt(448) - (sqrt(448) + 1)*-4))*-1*6 + -2)**2.\nAnswer: -2915540 - 144000*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162 and 5211?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191077668 divided by 31846278.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3)\/(f*(f*f**(-8))\/f))\/(f*f*f*f**(6\/7)*f\/(f**(-6)\/f)))\/((f*f**(-1))**(-12\/7)\/(f*f**(-2\/19)*f**(-8))) assuming f is positive.\nAnswer: f**(-1990\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - 3*z**2 + 3*z**2)*(2*z - z + z) + (21 - 8*z + 2*z**2 - 21)*(-17*z - 18*z + 0*z).\nAnswer: -68*z**3 + 280*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -55. Let c be h + (0 - -1)\/1. Let q = 3 + 4. What is the highest common divisor of c and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13368489.7 to the nearest one thousand.\nAnswer: 13368000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12756 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 2*i**3 + 3*i**2 + 4*i + 5. Let d(o) = -17*o**2 - 17*o - 11. Calculate -4*d(k) - 11*q(k).\nAnswer: 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 13*g**3 - g**2 - 3*g + 7. Let c be f(2). Let h = c - 97. Solve -a + 11 = -4*q, 0*q = -3*a + h*q + 17 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 6. Let o be d(5). Let l(t) = 7*t**2 - 11*t + 5*t**2 + 4*t + 1 + 9*t. Determine l(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 (base 9) in base 7?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 11. Suppose 0 = -m*k + 2*h + 198, -4*k - k - 3*h + 178 = 0. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2 + (sqrt(1216) - (-1 + sqrt(1216))) - 1*-3*sqrt(1216))**2.\nAnswer: 144*sqrt(19) + 10954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 187238 and 4.\nAnswer: 748952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2 + 55*f + 105. Determine p(32).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.771804 litres to millilitres.\nAnswer: 8771.804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6605 + -6606. What is the second smallest value in 41\/5, 4, x, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x - 599403 = 26*x. Round x to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 4, -1, 417, -7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -0.7. Let d = 0.14522 - -0.05478. Which is the smallest value? (a) d (b) 10 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36722 + 83854 - 47132 + 32*i**2.\nAnswer: 32*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-77))\/((-33)\/30)*(-6433)\/(-1838)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4649684, 18598793, 41847324, 74395289, 116242700?\nAnswer: 167389569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2568326.\nAnswer: 2, 17, 75539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1346 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -16*j. Let g(n) = -613543*n. Calculate p(g(b)).\nAnswer: 9816688*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 16, -5\/4, -4\/7, 3\/7, 3\/5 in decreasing order.\nAnswer: 16, 3\/5, 3\/7, -0.3, -4\/7, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 10*c - 2. What is l(10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/3*3\/(-8)*6.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*r - 3 = 6, -6 = 3*r. Let o = 3.7 - 4. Let k be 55\/(-90) + (-2 - (-57)\/27). What is the nearest to o in 1\/2, k, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2065, 4132, 6199, 8266, 10333?\nAnswer: 12400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -437 - -404a6?\nAnswer: 4006a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(8\/(-1)))\/(-46*40\/(-58880))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxudpujqxdjp. Give prob of sequence pup.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 291710 > 291569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 100 - 102. What is the nearest to 0.1 in 0.2, 2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2158, 2157, 2156, 2155?\nAnswer: 2154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 8*w**2 + 80. Let z be c(0). Suppose -17 = -3*y - 3*v + 7, v + 2 = 0. Calculate the highest common divisor of z and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5376*v + 21 = 5377*v + 3*h, 76*h - 303 = 5*v - 45*h for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 534 = 5*f, -4*z - 4*f = 1064 + 28. Let a = 403 + z. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259354511.\nAnswer: 13, 29, 199, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54 - -67. Find the third derivative of -i*f**2 + 30*f**6 - 10*f**2 - f**6 wrt f.\nAnswer: 3480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1301285.\nAnswer: 5, 317, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/600)\/(1\/2).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 14*b + 6. Let g be a(14). Suppose -3*i + g*i = 6. Suppose 4*d - i*f = -139 + 479, 2*d = -4*f + 150. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of g**2 - 20*g + 10694. Let f(k) = 27*k**2. Determine f(c(p)).\nAnswer: 108*p**2 - 2160*p + 10800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -8, 2*v - 4 = -6*m + 5*m. Suppose 6*n - v = 5*n, 5*n = 2*x - 1. Calculate the smallest common multiple of x and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 + 94. Let x(r) = 20*r**2 - 22*r. Let t(v) = -7*v**2 + 8*v. Let a(f) = 11*t(f) + 4*x(f). Give a(c(b)).\nAnswer: 12*b**4 - 1128*b**2 + 26508","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1505*p = -1507*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.4, 8, -13, -521.\nAnswer: -521, -13, 0.4, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 0.5, -0.6, 5 in ascending order.\nAnswer: -12, -0.6, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**5 - 40*z**4 + 110*z**3 - 140*z**2 + 85*z - 20.\nAnswer: 5*(z - 4)*(z - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5991 + 24874. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 12, 1258, 1, 2, -2, 6 in descending order.\nAnswer: 1258, 12, 6, 2, 1, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 1260.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 37710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*l**2 + 3*l**2 + l**2 + (-l**2 + 2*l**2 - 13*l**2)*(-1 - 1 + 1) to o + i*l**2 + u*l and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfppefsefeq. What is prob of sequence psp?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**2 + 607*q**5 - 1120*q - 499386*q**4 + 499386*q**4 wrt q.\nAnswer: 36420*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -134*n - 279. Determine k(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 - 5. Let z(x) = -6*x**3 + 14. Let b be -1*11\/(17\/17). Give b*p(c) - 4*z(c).\nAnswer: 2*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from {z: 3, f: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 171*f**2 - 412*f - 44. What is the ten thousands digit of q(167)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 - (-1 - 50\/(-10) - 0\/(-1)) is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h - 4. Suppose 5*d - 5 = -0*z + 5*z, 5*d = 2*z - 7. What is the units digit of f(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -13*q - 66. Let n(i) = 40*i + 199. Let m(b) = 7*c(b) + 2*n(b). Let p be m(-6). Solve 1 = -p*j + 5*o, o - 7 = 3*j - o for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1630785610?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*d - 3046 = -66*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 3*d - 4. What is x(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -7. Let z(a) = l*a + 7 - 5*a + a + 8*a**2. Let s be z(5). Calculate the greatest common divisor of s and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -35557?\nAnswer: 5\/35557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-845)\/170 - -2) + 1\/((-10)\/(-30)*1)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 8*h = 0. Suppose h*c = -3*c + 12. Suppose c*i - 2*i = 1490. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 273 - 273. Solve k + 19 - 14 = o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123719 - k + k + 449*k**3 + 123719.\nAnswer: 449*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - s - 5. Let f be v(-5). Let k be (-5)\/f - (-159)\/5. Suppose -40 = -2*y + 4*n - 2*n, 4*n = -y. Calculate the highest common factor of k and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**6\/120 - i**5\/20 + i**4\/24 + i**3\/3 - i**2. Let c be k(2). Let y = -29\/70 - -1\/70. Which is bigger: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 18\/(-81) + 2164\/18.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -4. Let v = 7 - p. What is the second derivative of -20*m**2 + 19*m**v - 3*m - 2*m wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*z. Let b = z + -1. What is the nearest to b in -3, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 70*i**3 - i**2 - 3*i + 12. What is the hundreds digit of z(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 15*z + 30 = 0. Sort 0, -3, 3, z.\nAnswer: z, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**1)**(-3\/14)\/((n**(-2\/5)*n)\/n*n**(-2\/3))*((n**1)**48)**(-5) assuming n is positive.\nAnswer: n**(-50311\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -460 divided by 5\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (380\/665*(-154)\/(-20))\/((-222)\/(-1665))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2. Let t(d) = -5*d**2 + 2*d - 1. Suppose 0 = 6*f - 7*f + 9. Suppose 6*r - 33 = -f. Let h = 0 - 1. Determine h*t(w) + r*k(w).\nAnswer: w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mc when two letters picked without replacement from {m: 2, c: 7}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15132654 (base 7) to base 11.\nAnswer: -8a1558","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170640, -337258, -503876, -670494?\nAnswer: -837112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1454171 is divided by 152.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7)**31 assuming u is positive.\nAnswer: u**217","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1014003, -1014009, -1014019, -1014033, -1014051, -1014073, -1014099?\n\"Answer: -2*g**2 - 1014001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 3*i = i - 12, 51*i = 50*i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4436, 8914, 13392, 17870, 22348?\n\"Answer: 4478*b - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7506)\/198 - (-69 - -31)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/2 - 3)*-1*1. Solve 3 = 5*i + 3*o + 8, -5*o = x*i - 17 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: a8518 (base 11) to base 2\nAnswer: 100110011111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*u + 2 = 12, -3*u = -6. Let r be ((-20)\/8 + 0)*(q + 1). Is -3 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*p = 107*p + 820 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62 - 48*s + 62 + (-5 + 1 + 2)*(0 + 5*s + 0) to the form r + y*s and give y.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 18*m**2 + 799*m - 1658. Give r(-47).\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4926 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-195)\/78*((-21)\/(-5))\/(-3)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10.86? (a) 1.2 (b) -3 (c) -3\/5 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 t, and 1 y when three letters picked without replacement from soyut.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18842236?\nAnswer: 2, 7, 672937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r. Let t be 27\/3 - 7 - -1. Let q(d) = 2 + 3 - 4 + t*d + 9. Give q(m(o)).\nAnswer: -6*o + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - y**2 + 7*y + 5. Let x = -91 + 86. Let n(b) = b**3 + b**2 - 10*b - 8. Let q(a) = x*n(a) - 8*z(a). What is g in q(g) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111110010001001011 + -100?\nAnswer: -1111110010001001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18.907807 + -18.936. What is c rounded to three dps?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeetbteoeeebeoeebebb. What is prob of picking 1 b and 2 o?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 12:01 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -332224576344 and 0.\nAnswer: -332224576344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**3 - 7*y**2 - 4*y. What are the prime factors of f(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.032 * -62\nAnswer: 1.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18347.96um to kilometers.\nAnswer: 0.00001834796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1396, 11253, 38060, 90307, 176484, 305081?\n\"Answer: 1415*m**3 - 15*m**2 - 3*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210 and 714.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -472 - -472.001436. What is j rounded to five dps?\nAnswer: 0.00144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8 + 8 = 0. Suppose 4*j + 0 - 16 = 0. Suppose -6080020 = 4*h - j*p, -c*h - 6015287 = 5*p + 64688. Round h to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48.24*-5103\nAnswer: -246168.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 236 + -379. Let x = -129 - s. Which is greater: x or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - -17 - 20 - 14\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 0*i**3 + 1\/6*i**4 - 1\/20*i**5 + 0*i**2 - 1 - i. Let g(b) be the first derivative of w(b). Factor g(k).\nAnswer: -k**2*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 629589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*g - 1361792 = 92126. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5014*g - 3825 = -5029*g. Suppose 4*d + 7 = 3, -5*b = 2*d - 23. Calculate the highest common factor of b and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o = 16*o + 210. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3083*d**4 - 5965*d**4 + 3508*d**4)*(-6 - 5 - 3).\nAnswer: -8764*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -598 - -489. Let m = h - -109.361. Round m to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2523)\/232)\/(-29)*-2\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -474.81 + 471. Let v = j + -0.19. Sort -0.2, -5, v in ascending order.\nAnswer: -5, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 631*g*y**2*z**2 + 4*g*y*z**3 + 19*g*y*z**2 + g*y - g + 321*y**2*z**3 - 62*y - 30*z wrt y?\nAnswer: 1262*g*z**2 + 642*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 4796*g - 9598*g + 4798*g + 25.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 24 = 2*g. Find b such that b**5 - 5\/4*b**3 + 0 + 3\/4*b**2 + 1\/4*b - 3\/4*b**g = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(85) + (sqrt(85) - (sqrt(85) + sqrt(85)*-1*-1 + sqrt(85))) + sqrt(85) - sqrt(85)) + sqrt(85))\/(sqrt(40)\/sqrt(2) + sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4)\/(j*j**(1\/5))*j**7*j\/j**(1\/3))**(-32) assuming j is positive.\nAnswer: j**(-2984\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*f - 179*f - 36 = 0. Suppose -c - 3 + 8 = 0. What is the closest to f in c, 2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 w, and 1 j when four letters picked without replacement from iajwiikhjaiakii.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 188.2 (b) -71 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -6. Suppose m = 3*h + 2*h - 100. What is the highest common divisor of h and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113, 256, 379, 476, 541, 568, 551?\nAnswer: 484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 12 + 36. Suppose -3*n - 3*h - 34 = 56, n + 54 = 5*h. Let b = n - g. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + z - 12. Let f(u) = 5*u + 3. Let i(n) = -n - 1. Suppose 0 = -76*k + 74*k + 48. Let q(w) = 2*w - 50. Let g be q(k). Determine g*f(r) + z*i(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614922 is divided by 19215.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -93 or -1077?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s - 17. Let g be k(5). Let t(a) = -a**3 - 2*a**2 - 2*a + 2. Let u be t(g). Let b(c) = -c**2 + 6*c + 3. What is b(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90926 (base 12) to base 7\nAnswer: -1411650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 3:48 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18671\/5 or 3734?\nAnswer: 3734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16541002 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(2 + 3*k - 2)*(4*k - 2*k - k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnwwnwn. Give prob of picking 3 n and 1 w.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2621686, 2621685, 2621684, 2621683, 2621682, 2621681?\n\"Answer: -v + 2621687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/(c\/c**(-20))*c)**(2\/43) assuming c is positive.\nAnswer: c**(-34\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4260988631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 10*w + 27. Give z(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 3:24 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23694, 23697, 23700?\nAnswer: 23703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6956.07 - 6956. What is the nearest to 2 in 2\/7, j, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 70.2 - 70. Which is greater: -3\/14 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 3*c + 0*c**2 + 0 + 1\/4*c**4 + 1\/6*c**3. What is the second derivative of v(g) wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86200 is divided by 269.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(-68)*6868\/(-272) and -29\/306?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/17886 and 9\/11924.\nAnswer: 35772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjq when three letters picked without replacement from {n: 1, y: 5, q: 3, j: 9}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188797 is divided by 26968.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 159 - 188. Let l = -29.1 - k. Put 0.1, l, -0.5, 2.6 in decreasing order.\nAnswer: 2.6, 0.1, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 48\/64)*(-8)\/6.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163522824?\nAnswer: 2, 3, 23, 296237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485*v + 156 = 511*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*j**2 - 12*j**2 - 21*j**2)*(0 + 0 - 1)*(1 + 2*j**2 - 1)*(6 + 8 - 22)*(0 - 3 + 1).\nAnswer: 1792*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 501455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**5 - 464*k**3 - 151*k?\nAnswer: -40*k**3 - 2784*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09 and -50.639?\nAnswer: -4.55751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = t + 3*t + 10, 4*t - 15 = 3*a. Suppose 3*l + 4*m + 11 = t, l - 4*m - m - 28 = 0. Suppose l*i - 108 - 96 = 0. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*((-177)\/(-708))\/(6\/16). Let o(i) = 2*i**3 - 4*i**2 + 4*i - 2. Let m be o(2). Solve -2*w - m = h for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -33, -10, 31, 96, 191, 322, 495?\n\"Answer: i**3 + 3*i**2 + 7*i - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.59 - 2.11. Let x = n + 3.2. Sort 0.05, x, -3\/7.\nAnswer: -3\/7, 0.05, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 7*p**3 - 2*p + p**3 + 64*p**2.\nAnswer: 8*p**3 + 64*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45.5 * 8.8.\nAnswer: -400.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -64*a**2 - 367*a + 5. Determine l(-4).\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 3. Let w be (z\/15)\/((-1)\/(-18)). List the prime factors of 1 - 3*(-4)\/w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 3*m = 8. Suppose 3*s - 76 = -5*n, -n = -m*n - 2*s + 11. Let v = -14 + 14. Solve t - 10 = 2*c, -2*t + 0*t + 3*c + n = v for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1168259 and 0.01.\nAnswer: -11682.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 23384709 and 470104?\nAnswer: 22914605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 8. Suppose -64 = v + 3*v + 3*s, 0 = 3*v + 3*s + 51. Does 2 divide t(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -54 + 57. Solve 2*f + k = 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 0.3188.\nAnswer: 0.03188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 285 and 23275?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 441 = -453. Let s(v) be the second derivative of -1\/2*v**2 + 0 + 0*v**r + 7*v + 1\/12*v**4. Suppose s(f) = 0. What is f?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1112 and 6126984.\nAnswer: 851650776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 510 and 1375.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k**3 - 12*k**3 - 9*k**3 + 26*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 2946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(847) + -2) - sqrt(847)) + (sqrt(847) - (sqrt(847) - (-1 + sqrt(847) + sqrt(847)*-2))))**2.\nAnswer: -1144*sqrt(7) + 13721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6755622?\nAnswer: 2, 3, 467, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*i = -9 - 10, -21 = -4*g - i. Suppose 4*m + 28284 = -g*d, 3*m - d = -m - 28294. Let y = m - -3373. What is y rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 17*z**2 - 15*z + 17. Determine o(-17).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-5))\/(966\/(-21))\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-30)\/20 - 161\/2. Let i = 147 + c. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 12 + 3*w - 3*w**4 + 2*w**2 - 4 - 5*w in the form a*w**4 + d*w**2 + f*w**3 + p*w + g and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 29*s**3 - 2*s**2 - 8. Let q(a) = 58*a**3 - 5*a**2 - 17. Let d(n) = -5*b(n) + 2*q(n). What is the first derivative of d(p) wrt p?\nAnswer: -87*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 13*r**2 - 14*r - 6. Let n be u(14). Let x(p) = 3*p**2 + 3*p + 5. Let c be x(n). Suppose -f + c = 2. What are the prime factors of f?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b6a - -15?\nAnswer: -b55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s + 2*s - 2*s)*(0 - 1 - 1) + (4 - 1 + 26)*(0*s + 4*s - 3*s)*(-8 + 6 + 20) as o*s + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -260241 and 0.042.\nAnswer: -10930.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -593552, -593549, -593546, -593543, -593540, -593537?\nAnswer: -593534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, c: 2, i: 13, w: 1}. What is prob of picking 3 r and 1 c?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*d - 12*d - 409 - 46 - 353*d**3 wrt d?\nAnswer: -2118*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 7:32 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -15. Suppose -h*k = -2 - 40. What is the remainder when k is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g - 1. Calculate f(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 90 (base 11) to base 4\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*f + 10135 - 1973 = 217*f - 40*f for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -339 + 338.88. Which is the biggest value? (a) 1\/2 (b) 4 (c) 5 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/5, 0, -5\/498?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/2 of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 82 = s, -2*w - 5*s - 84 = -6*w. Suppose 5*u - 2*u - 5 = 4*p, -2*u - p - 15 = 0. Sort 1, w, u in ascending order.\nAnswer: u, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 71 + 21. Let q = -207 + 317. Calculate the greatest common factor of k and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -84*x**5 - 2033*x**4 + 264623*x - 8 wrt x.\nAnswer: -1680*x**3 - 24396*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 2635*t - 2646*t = 274, 0 = o - 4*t - 101 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -8. Let u = k + 2. Find the second derivative of 17*w**4 - 3*w - 17*w**4 + u*w**5 wrt w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6953, 6591, 5987, 5141, 4053, 2723?\nAnswer: 1151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*u - 35 = 5*b - 59*u, -3*u + 19 = -4*b. What is the smallest common multiple of 15180 and b?\nAnswer: 15180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/7 bigger than -115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -22.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54100147\/41 or -1319517?\nAnswer: -54100147\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -914*u**3\/3 - 51*u**2\/2 - 2*u - 977. Find the second derivative of w(l) wrt l.\nAnswer: -1828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -26.5. Which is the closest to -0.1? (a) y (b) 2\/15 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22161 - 22185. Put -22, -1, -4, a, -5 in ascending order.\nAnswer: a, -22, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20514924?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 168354601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -34*w**2 + 2*w. Let i be a(1). Let t = -15 - i. Suppose -2*s - t = -q, 3*s + 53 = 5*q - q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + -3. Let f = s + 9. Suppose -h + f = h. Solve -a = h - 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 1, -1\/2, -1.6, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**2 - 14. Let d(p) = 6*p. Give d(w(m)).\nAnswer: -18*m**2 - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/3 (b) 46.481 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45621 is divided by 15203?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1166 is divided by 286?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -14 + 7 - -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -454 + 812. Let s be (-6)\/(-15) + a\/5. Suppose -3*t - t = -s. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14, -29, -70, -149, -278, -469?\n\"Answer: -2*q**3 - q**2 + 2*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 16, 9, -3, -1 in increasing order.\nAnswer: -3, -1, 6, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*d - 28 = 378*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11794 >= 412803\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40387*h**3 - 110627 wrt h?\nAnswer: 121161*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 78*i + 2. Let p(j) = -196*j - 5. Let g(u) = -10*d(u) - 4*p(u). Let z(c) = -175*c**2 + c. Calculate z(g(w)).\nAnswer: -2800*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 7*g**2 - 3*g - 1. Determine p(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.9 - 8.9. What is the smallest value in h, 1, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15*z**2 + 15*z**4 + 5*z**4 - 6*z**4 wrt z?\nAnswer: 336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -172, 0, -5 in decreasing order.\nAnswer: 0, -5, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**3 + 3*m**2 - 3*m**3 + m**2 + m. What are the prime factors of d(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -14*j + 11. Let t be (1 + (-2 - -3))\/(2 - j). Solve 2*y - t = -8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 3:58 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -j**4\/4 - 4*j**3\/3 - 2*j**2 - 2*j - 2. Let i be q(-3). What is the remainder when -3 + i - (0 - 51) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -1, -6, -11, -16, -21?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -100507*x**4 - 324*x**3 + 537*x**2 - 77*x + 31?\nAnswer: -2412168*x - 1944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4930 and 9.\nAnswer: -44370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - m - 3. Determine s(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*k - 4 + 29*k + 13*k**2 - 19*k wrt k?\nAnswer: 26*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11739402305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kaar when four letters picked without replacement from {k: 4, x: 1, r: 4, y: 1, i: 4, a: 3}?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 4*t**2 + 0*t**2 - 2*t**2 - 3*t**2. Give k(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c + 12711?\nAnswer: 12702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297017 is divided by 148457?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 1 = -20. Solve 2*k - f = 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 417883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16254 and 41538?\nAnswer: 373842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -280 by -69762.\nAnswer: 20\/4983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 7\/2 (b) 8 (c) -1 (d) 6 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 224*q + 1. Let c(a) = -224*a. Determine -4*c(s) - 3*k(s).\nAnswer: 224*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 20 = -n, 0 = 3*d + 3*n - 20 + 8. Let q = d + 2. What is the units digit of (-4)\/q - 10\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -77*h**2\/2 - 116*h + 40. Differentiate m(a) with respect to a.\nAnswer: -77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 382 - 382. Let r = 5 - 2. Put -3\/7, w, r in descending order.\nAnswer: r, w, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.099 times 2602?\nAnswer: -257.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - (-8)\/4) + -2. Let u = -2 - l. Sort u, -2\/3, 5 in increasing order.\nAnswer: u, -2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -1 + 5 - 1 - 2. Let z(s) = 2*s + 11. Let o(p) = 4*p + 21. Let u(q) = 3*o(q) - 5*z(q). Give -6*k(y) + u(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240, -591, -942, -1293, -1644, -1995?\nAnswer: -2346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjjc when four letters picked without replacement from {s: 6, p: 3, c: 1, j: 8}?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 2*k - 4. Let v(w) = -w + 0*w**2 - w**k + w. Let d(y) = 6*y**2. Determine v(d(c)).\nAnswer: -36*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-25) + (-1154)\/5. Let w be (-2)\/10 - d\/55. Find f, given that -4*f**3 - 3*f**4 + 5\/3*f**2 + 4\/3 + w*f = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -168*d - 379. List the prime factors of b(-14).\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 22 + 6 = 0. Let f(d) = -y*d - 2*d - 2*d + 5*d. Let t(a) = a**2 - a**2 - a**2. What is t(f(z))?\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 141344961?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + d**2. Let y(o) = 22*o**3 - 3*o**2 - 9*o. Let m(u) = 3*s(u) + y(u). Find the second derivative of m(i) wrt i.\nAnswer: 114*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*r = 37*r + 55 + 35. Solve 5*d + 29 - 22 = -y, d + 2*y = -r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -15. Is (p - -11 - -1) + 3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1169 divide 5649777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**6\/9 + 4*x**5\/9 - 4*x**4\/3 + 4*x**3\/9 + 5*x**2\/9 + 28. Let z(a) = 0. Calculate a.\nAnswer: -5, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 62*s - 63*s - 1 + 0 - 2. Calculate u(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w**3 - 80*w**2 - 26. Determine c(-16).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**3*s**2 + l**3*s + 2675*l**3 - l**2*s**2 + 7*l**2 - 39*l*s**2 - 147 wrt l?\nAnswer: 12*s**2 + 6*s + 16050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4040*l - 4037*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - j**2 - 74*j - 146. Let b be s(53). What is b rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = 29143 - 647443. What is r rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10491.78649 rounded to 0 decimal places?\nAnswer: -10492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -3, -7, -3, 15, 53?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 less than or equal to 1220.73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*y = -0 + 4, 3*g - 46 = 2*y. Let w be (-644)\/(-18) + 4\/18. What is the highest common factor of w and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2*24\/36. Suppose -189 = -11*s + 7*s + 67*s. Which is the nearest to v? (a) s (b) 2\/11 (c) -3\/5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 7*b + 58. Let t be x(-9). Calculate the lowest common multiple of ((t - 9) + 4)\/(5\/(-6)) and 76.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 429 divide 2316171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -19*v**3 + 4*v**2 - 4*v - 5. Let l(y) = -18*y**3 + 3*y**2 - 3*y - 4. Let h be (-12)\/(-14) - (-952)\/(-196). Determine h*l(p) + 3*c(p).\nAnswer: 15*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 + 38. Calculate the lowest common multiple of t and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 0.13 (c) 0.3 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 7. Let t be 4\/(-10) + (-2)\/(-80). Which is greater: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37879 - 29461. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3633*w + 3644*w - 7275*w = z + 3, -6*z = -5*w + 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*i**4 - 865*i**3 + 3120*i**2 - 2780*i + 560 = 0. What is i?\nAnswer: -28, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a - 2 - 7*a + 5*a**2 + 0 - a**3. Let f(o) = -1118*o - 17883. Let z be f(-16). Give q(z).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129020 - 72?\nAnswer: -129092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672641028.\nAnswer: 2, 3, 18684473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.585518mm to centimeters.\nAnswer: 0.0585518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2630 - 2629.7. Sort o, 8, -9, -0.2.\nAnswer: -9, -0.2, o, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1239251 is divided by 1663?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**3 + 2799*p**2 - 1266110*p + 1263312 = 0. What is p?\nAnswer: 1, 566, 2232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 359, 603, 845, 1085?\n\"Answer: -q**2 + 247*q + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 100737 and 100736 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 + 0*h**2 + h**2 + 2*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18, -10, 22, 84, 182, 322, 510?\n\"Answer: f**3 + 6*f**2 - 17*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 7:30 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48*u**4 - 671 wrt u.\nAnswer: -192*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1836321928?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01075 and -14260.\nAnswer: -14259.98925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 <= -149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-62)\/(-124)*5*2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k. Let s(g) = -8 - 2 + 5*g + 8 - 5*g + 2*g. What is u(s(m))?\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - -2 - 50\/(-22). Let l = x - 10\/11. Let t = 6\/77 - l. Which is greater: t or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/10, 1.8, -2?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21*w**4 - 65*w**3 + 2*w**2 + 50535*w wrt w.\nAnswer: -252*w**2 - 390*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 3*q + 9. Let j be 1*(q + 2) - 1. Let m(o) = 3*o**2 + 2*o - 1. What is m(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2\/473 (b) 36 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2623 is divided by 2556?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 843 is divided by 50.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -678*h - 1 + 635*h + 0.\nAnswer: -43*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -1. Let a be (0\/2 + 7)\/p. Suppose -200*o = -78*o - 103*o - 133. What is the highest common divisor of o and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 26*s**2 - 36*s - 235. Let x be r(24). Solve -x*y - 63 = -328 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161, -151, -135, -113, -85, -51, -11?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(168)\/sqrt(4) - sqrt(42))\/sqrt(3))\/(sqrt(7) - -4*2*sqrt(7))*1)**2 - ((sqrt(16)\/sqrt(72))**2 - (2 + 3*sqrt(8))).\nAnswer: 16\/9 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, h: 2, v: 9}. What is prob of picking 2 p and 1 v?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, u: 5, d: 1, m: 2, b: 3, j: 3}. Give prob of sequence uj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 10*h**3 + h**2 - 2*h - 3. Let x(n) = 10*n**3 - 18*n**3 + 9*n**3 + 1. What is -r(c) - 3*x(c)?\nAnswer: -13*c**3 - c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 41104550345.00000073 - 41104550176. Let l = 169 - p. Round l to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 18611 - 18598 = -4*j, -5*a - 830 = -285*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*b - 10*b = -265*b + 110541823. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/11 (b) -0.84 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**2*o**3*w**3 - 36521*k**2*o**3*w + 516*k**2*o**2 - 6*k**2*w + 5*k*w**3 wrt o.\nAnswer: 6*k**2*w**3 - 219126*k**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l. Let j(o) = 114337480*o. What is k(j(m))?\nAnswer: 457349920*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + -22 + -19 - ((-2 - -2) + -15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 260\/45 - (-4)\/18. Find the second derivative of -3*u**3 + 5*u**3 + 4*u - q*u**3 wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 342503431263.\nAnswer: 342503431262.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 74068846 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -327 - 32*s**3 + 12*s**4 - 1452*s - 789 - 30*s**3 - 10*s**3 - 9*s**4 - 603*s**2 = 0.\nAnswer: -3, -2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 127169 and 6475?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120912 to the power of 1\/2, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-6)\/4)*-1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 436*n - 2*n - 169*n + 384*n.\nAnswer: 649*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - ((42 - (9 - -2)) + -15)) + (-63 - -2)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*a**3 + 2693*a - 2691*a + 1 - 17*a**3 + (-a**2 + 0*a + 0*a)*(0*a - 3*a + 2*a).\nAnswer: -28*a**3 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 15*l**2 + 28*l + 7. Determine t(13).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.2 + 1. Let c = 312.9943 - -0.0057. Let g = c - 309. What is the nearest to 0.1 in d, -0.3, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 8:58 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (16 + 27353\/(-68))\/((-3)\/8). Is j at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by ((-96)\/4)\/(((-78)\/4)\/13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48794834 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3 - 1\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 122851107.9 to the nearest 100000.\nAnswer: 122900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5989114041?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/h**3))**(-2\/7)*((h\/(h*h*h\/h**(1\/8)))\/h*h)\/h*h**1)**(-48))**(-4\/37) assuming h is positive.\nAnswer: h**(-3672\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-2) - (-8 + (-5 - -11)). Suppose b - 2*c + 10 = s, -c - 1 + 6 = -4*b. Solve u = -b*u - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 9.59.\nAnswer: 0.959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*l = 20221 - 19691. Let y be 1\/(-2)*0 - -3. Solve -y*w + w + l = c, -2*c + 10 = 3*w for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}