diff --git "a/data/dm_maths/full_data/1095_11255.jsonl" "b/data/dm_maths/full_data/1095_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1095_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let v(q) = 22*q. Let d(a) = 16001*a**2. Give v(d(x)).\nAnswer: 352022*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 102906 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (164 - 180) + (15 - -1) + 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*y = 254*y - 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -36016, -36007, -36002, -36001, -36004, -36011, -36022?\n\"Answer: -2*y**2 + 15*y - 36029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**45*c*c)\/c)\/c**(-43))**(-1) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06047584977 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1430)\/858*3\/(-5) - (0\/2 + -9). Suppose r = -4*h - 28, -5*r + 0*r = -3*h + 2. Let c(u) = -u - 1. Let s be c(h). Solve -3*p + a = -s*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/2 + 161*p**2\/2 - 32005*p.\nAnswer: p*(p - 185)*(p + 346)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = x + 4*f, 45 = 5*x - f - 4*f. Suppose -x*b - 19 = -2*n + 10, 5*b + 35 = 5*n. Let r(m) = m - 2. Give r(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 4*t - 2*t**2 + 5*t**2 - 2. Suppose -3*n - 19 = 2*z, -2*z - 2*n + 608 - 624 = 0. Determine a(z).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by -2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 698386520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.364 - 0.244. Let w = v + -1.92. Which is the smallest value? (a) -5 (b) 0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmfmfm. What is prob of sequence mf?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84 - 83. Let j be n\/2 + 6\/(-24). Let -3\/4*l + 3\/4*l**2 + j - 1\/4*l**3 = 0. Calculate l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -2 + 84)\/((-3)\/(-21)). Suppose g = -4*g + m. List the prime factors of g.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 294*h + 626 + 1529 - 295*h + (-4 + 4 - 1)*(3 + 2*h - 3).\nAnswer: -3*h + 2155","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2054960 = -123795. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 459180.7ml?\nAnswer: 459.1807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-6 + 14))\/((-2)\/36). Put -3, 2, m in decreasing order.\nAnswer: 2, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5915850 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 19\/627602?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 961787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*g + 81*g = 399 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 0 + 1 + 0 - 4 + 2*v**2. Suppose 2*y = 5 + 1. Let x(i) = 5*i**2 + i - 6. Let f(k) = y*x(k) - 7*u(k). What is f(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -263588 divided by -137.\nAnswer: 1924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1097 - 0.0713. Round w to three dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/j**(-5\/6)*j)**(1\/17)*j**(-2\/35)\/(j\/(j\/((j\/j**(-2\/9))\/j))) assuming j is positive.\nAnswer: j**(53\/10710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t - 21 - 8 + 60 - t as p*t + a and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5d4ea (base 15) to base 2.\nAnswer: 1001000110010001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2.0481 * 3\nAnswer: -6.1443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of w**3 + 22840*w**2 + 4782*w + 1226534503?\nAnswer: 3*w**2 + 45680*w + 4782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 22*t - 6. Suppose 2*i = -0*i + 10. Suppose 2 = -3*b - 1. Let g be b\/(51\/(-48) - -1). Let z(p) = -7*p + 2. Calculate g*z(u) + i*r(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i*k*n**2 + 41*i*k - 279*i*n**2 + i*n + 5*i - k*n**2 + k wrt k?\nAnswer: i*n**2 + 41*i - n**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -6.0462 + -332.6\nAnswer: -338.6462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -22*n**2 - 4250*n + 3. Determine y(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 804\/134*10 - (3*-2 + 2)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 10. Give o(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 636 and 223110?\nAnswer: 23649660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -7) + (-2 - 2) + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 228706 (base 13) in base 5?\nAnswer: 202142343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1440 - -1430?\nAnswer: 3070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103 - 109. Let a = -23 + 24. Sort -2\/3, -0.1, i, a in increasing order.\nAnswer: i, -2\/3, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 4:22 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.6+-163624564\nAnswer: -163624563.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.00173814 times -2\nAnswer: 0.00347628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 39*x**2 - 100*x - 738. Let t be l(-41). Solve t = -131*v + 140*v + 27 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -1 - 2. Let w = 5 + a. Suppose 68 + 60 = w*x. What is the highest common divisor of 16 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2476 - -2474. Which is the nearest to -2? (a) v (b) 3 (c) -3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.6935703 rounded to two decimal places?\nAnswer: 16.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 - 37. Sort 0, 3, z, -1 in increasing order.\nAnswer: z, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.5*0.12\nAnswer: -0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 36190 = s - 302235, 0 = -5*j - 2*s + 338425. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5219219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 2\/43, 2\/19, 1, -7805 in ascending order.\nAnswer: -7805, 2\/43, 2\/19, 1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97\/22 - -12\/11. Calculate the common denominator of g and 61\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 3:19 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 31. Put 3, -17, o in ascending order.\nAnswer: -17, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 17 + (20 + -5 - 11).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(3 - (-15)\/(-3)). Suppose 14*m = -x*m + 56. Solve c - 5 = 3*z, -m*c - 5*z - 8 = -28 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -18*x**2 - 467*x - 834. Calculate c(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2e (base 15) in base 12?\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -108 - 32\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 19e (base 15) in base 2?\nAnswer: 101110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 402 + 620. Let j = 2692 - z. Let s = j + -997. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -w - 5*l, -4*w - l + 24 = -3*l. Let b(o) = -o**3 + 5*o**2 - 5*o + 6. Let y be b(w). Let c(q) = q**2 - 4*q - 3. Let t be c(5). Is y < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52208 + 64\/(-27 - -11)?\nAnswer: 2, 31, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1815, -3937, -6373, -9123?\n\"Answer: -157*f**2 - 1651*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35 + -1 - 14) + 66.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29667592 <= 29667591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**3\/5 + 5106*l**2 - 2532297*l\/5 - 2659872 = 0 for l.\nAnswer: -8608, -5, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**5 + 5684*u**4 - 156612*u**3 - 330260*u**2 - 167968*u = 0 for u.\nAnswer: -1448, -1, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from {l: 1, m: 2, y: 1, v: 3, g: 1, q: 3}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -2, -4, 8.\nAnswer: -13, -4, -2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*w + 3*l, 3*w + 3*l = -w + 38. Suppose 2*r = -2*r + w. Let q = 5 - 3. Solve 6 = 3*d - 3*o, -q*o - 9 = -3*d + r*o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -4 - 7) + -7 + -9 + 49 + -10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.004 - 11. What is i rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -5. Let d = 4 - 4. Are d and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**3 - 17*b**2 + 11*b + 18. Let c be v(-9). Let o(a) = c - 26*a - 36*a + 5 + 0. Is o(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 + -43. Suppose -4*p = p - 55. What is the remainder when 3 - ((-3)\/1 + -17 + s) is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/10 of a millimeter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 17*v + 136 = 15*v, 2*y = -5*v + 78. Solve 30 = -50*z + y*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754342189.\nAnswer: 31, 107, 277, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77891517 and 351?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 27*t**2 + 3*t - 4. Suppose 0 = 6*u - 0*u - 270. Let j = 43 - u. What is the units digit of i(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58)\/(-22330)*-14 - 0\/(-2)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-3))\/(0 + (-12)\/90). Let b(k) = -12*k**3 + 19*k + 5. Let a(w) = -1. Let g(d) = l*a(d) + b(d). Find the second derivative of g(x) wrt x.\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -26*c + 133. Is d(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 + 40044*c**3 - 680957*c**2 + 3204816*c - 2563904.\nAnswer: (c - 8)**2*(c - 1)*(c + 40061)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 + -77. Suppose -8*b + 4*b = -j*k + 128, -2*b - 262 = -4*k. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 8 = -0*z, 3*p - 3*z = -132. Let m = p - -56. Let h = -63 + 93. What is the remainder when h is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 211 - 192. Is 7375 - ((7 - 0) + a\/(-19)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 453*o + 26931 = -494*o - 39359 for o.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Solve 5*m - 11 = 3*i, 3*i - w*m + 0*m - 1 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1532324*p**5 - 811453*p**2 + 2 wrt p?\nAnswer: -91939440*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (475 + -440)*2\/49?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 681551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a**3 - 4*a**3 - 18*a**4 - 7*a**2 - 6 - 14*a**4 + 3 + 31*a**4 in the form l*a**2 + o*a**4 + j*a**3 + v + s*a and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 7*k - 16 = 0. Solve -3*b = 2 - k for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(5) + -2))**2 - -5*4*sqrt(5) - (-2 + sqrt(245) + 2 + 0).\nAnswer: 9 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 150\/35*(-2142)\/(-255)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002702427 rounded to seven dps?\nAnswer: 0.0002702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3659633 and 10.866?\nAnswer: 3659643.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 1 + (13 + 6 + 10)*(4 - 8 + 2) + 0 - 1 + 0)*(-3*g**5 - 2*g**5 + 4*g**5).\nAnswer: 58*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 + 2*p. Suppose -5*g - 16 = 3*b, 3*b - 5*b = 5*g + 14. Let n(f) = -f - 16. Let j be n(-15). Let a(w) = -w**2 - w - 1. What is b*a(c) + j*s(c)?\nAnswer: c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -71, 1, 1\/18 in decreasing order.\nAnswer: 1, 1\/18, -15, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 10 = 3*g. Let y be (g\/(-26) + 1)\/(-26). Let d = 23045\/3042 - y. Find the common denominator of 119\/20 and d.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 876 and 648.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 9*z - 9. Let v be s(-7). Suppose 4 = v*b - 3*b. Let f(k) = 4*k**2 - 4*k + 2. What is f(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 34 = 2*a + 1, 4*a + 25 = 3*i. Solve -w + 3 = i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -0.76 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -2742.\nAnswer: -2741.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -106, -274, -534, -892, -1354?\nAnswer: -1926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 + 8*h + 22*h + 12*h**2 + 5*h - 21*h to g + n*h**2 + y*h and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**3 + 10*m**2 - m - 2. Suppose 5*u + 3*a - 30 = -2*a, 2*a + 9 = 5*u. Let g(n) = 2*n**3 + 9*n**2 - 2*n. Let q(z) = u*j(z) - 4*g(z). What is q(4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 5 = 3 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.126902nm in micrometers?\nAnswer: 0.007126902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -38 + ((1 + -2 - 8) + -155 + 169)*-1\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/3)*y**3)**(4\/11) assuming y is positive.\nAnswer: y**(16\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 13 + 814*k - 4 + k**2.\nAnswer: k**2 + 814*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -122192207?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4818)\/(-7227))\/(6\/(-63)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 11 + 1 = 0. Let b(f) = f**3 - 11*f**2 + 10*f + 2. Let a be b(q). Suppose 5*o + 2*m - 123 = -2*m, 3*o + a*m - 73 = 0. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -534, -535, -536, -537?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.7682 times 0.5?\nAnswer: -1.3841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37\/20 + -2)\/(66\/(-55)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/220*(-1390)\/(-556).\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1 (c) 0.53 (d) -10 (e) -0.4 (f) 5 (g) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2958 and 24?\nAnswer: 11832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -980 - -1023.9. Let p = y + -44. What is the nearest to p in 0.4, 0, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o - 3*o**3 + 4 + o**2 + 3*o**2 + o**2 + 2*o**3. Let k be z(4). Suppose k = -0*a + 2*a. Solve -2*i + a = -6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 342740*k - 342742.\nAnswer: 2*(k - 1)*(k + 171371)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 9. Let c be b(8). Let g(d) = 3*d**2 + 71*d - 2. Let u be g(-24). Calculate the greatest common divisor of c and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 4*d - 53. Let j be (d\/4)\/(4\/8). Suppose 3*f + 3*c - 112 = 4*c, 0 = -2*f + j*c + 70. What is the highest common divisor of f and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 177498446?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 692188 divided by -24721\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f. Let l(r) = -1713 + 3436 - 1723 - 274*r**2. Calculate l(c(s)).\nAnswer: -9864*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 13\/4*o**4 - 4\/3*o**3 + 0*o**2 + 0*o + 12. What is the third derivative of w(n) wrt n?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44957, 89615, 134271, 178925, 223577?\nAnswer: 268227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 68\/3 of a century?\nAnswer: 27200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 994985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 48.9 * 0.2277\nAnswer: 11.13453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-7\/2)*q)\/q**0*q*((q*q*q**3*q)\/q)\/q*q**(-8))\/((q**1*q**(-8))\/((q\/(q**2*q))\/(q**(-1)*q))) assuming q is positive.\nAnswer: 1\/sqrt(q)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**0)**11)**(-2\/3) assuming x is positive.\nAnswer: x**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence my when two letters picked without replacement from yjygyymm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f + 21. Let m be w(9). Suppose -m*j + 57 + 54 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 3879 = 135. Let o = 308 - r. Solve -o*k = -18*k + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*q, -160 = -5*i - 4*q + 15. Let k = 1 + 4. Suppose -k*j = -4*n + 3*n - 8, -5*n = -2*j - 75. What is the remainder when i is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 10*t**2 - 11 - 25*t + 4 + 8.\nAnswer: -10*t**2 - 25*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2. Let h be 4\/14 - (-231)\/49. What is the nearest to -0.1 in d, 0.3, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -23 - 7 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k + 108 + 357*k**2 - 54 + 17*k - 54.\nAnswer: 357*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**2\/8 + 363*c\/4 + 43923\/8 = 0. Calculate c.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2\/9 + 34*l\/9 - 76\/9 = 0 for l.\nAnswer: -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1836 - 34882\/19. What is the third biggest value in -3, 3, z, 46?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*k = 0, -2*b + 2*k + 2 = -14. Let t(n) = 13*n**3 + 11*n - 25. What is the tens digit of t(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 9*x = 5*n + 801, 4*x - n = 3147. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 6 (c) -2437 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -6 = 3062?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 356778 divided by -6\nAnswer: -59463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14305 - 33507?\nAnswer: -50014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 161 - 132b16?\nAnswer: -132975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2016 and 588.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 1. What is the common denominator of 282\/16*2\/q and (-287)\/(-112) - (0 + -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -23. Suppose -n = 7*n - j*n. Suppose n = -5*m + 140 + 240. What is the highest common divisor of 19 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.806 - 1.364. Let j = -15.8 - m. Let s = j - -0.601. What is s rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -514, 0.2, -13, 3.1, 1, -1\/4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -1606\/13*k + 3204\/13 + 2\/13*k**2 = 0?\nAnswer: 2, 801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 150707, 302906, 455109, 607316, 759527, 911742?\n\"Answer: 2*z**2 + 152193*z - 1488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -47, -76, -115, -170, -247, -352, -491, -670?\n\"Answer: -b**3 + b**2 - 25*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or -18?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 72\/12*1*2\/(-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -13*h**3 + 5*h**2 + 5*h. Let z(i) = 168*i**3 - 64*i**2 - 64*i. Let o(q) = -5*q**2 - 35*q - 45. Let g be o(-5). Determine g*z(l) + 64*r(l).\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -104\/5*u**4 + 18962\/5*u - 12032\/5*u**2 + 1836\/5*u**3 + 2\/5*u**5 - 8664\/5 = 0.\nAnswer: 1, 12, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4688344?\nAnswer: 2, 37, 47, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + 32 + -18 - -37 - -25?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*b**3 - 180*b**3 - 719*b**3.\nAnswer: -965*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*c + 290*c - 128*c.\nAnswer: 35*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**5\/4 + 19*w**4\/24 - 25*w**2. What is the second derivative of n(o) wrt o?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*t = -33*t - 32. Calculate the lowest common multiple of -24*-8*(-2)\/(-6) and t.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/22189 - 13690621\/177512. Let u(c) = c**3 - c**2 - c + 2. Let l be u(-4). Let a = t - l. What is the common denominator of -47 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 1. Let x be u(4). Suppose -3*z + z + 2*t + 14 = 0, 4*t + 17 = x*z. Suppose q + 4*d + 0 = -13, 3*d = -q - z. Put -1, q, 1 in increasing order.\nAnswer: q, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2*o + 48, 0 = 3*b - 4*o + 2*o + 77. Let u be -1 + 0 + -7*2. Let r = u - b. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 68. Let s(i) = 12*i - 117. Let x(p) = -3*p + 26. Let t(r) = 4*s(r) + 18*x(r). Calculate t(a(y)).\nAnswer: -6*y + 408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 9 - 16 - 3*h - 3*h**2 to the form o*h**2 + q*h + x and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -134582461\/366 - -367709. Let n = 3\/122 - z. Suppose 2\/3*j**2 - n*j + 8\/3 = 0. Calculate j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -11010?\nAnswer: -11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (35\/(-14))\/(1\/(-2)). Suppose z*n = -4*r - 16, -n + 0*n - 4*r = 0. Which is the third biggest value? (a) 7 (b) n (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-2)\/3)*(-1 + 0). Sort c, -1\/6, -5, -6.\nAnswer: -6, -5, -1\/6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 337*w + 76 = 333*w, -95 = -33*l + 5*w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 110 - 115.46. Let p = t - -5.66. Let z be 6\/(-28) - (-3)\/6. Put p, -1, z in ascending order.\nAnswer: -1, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8077 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 205, 493, 965, 1615, 2437, 3425, 4573?\nAnswer: 5875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42.2 + -42.5. Suppose 25 = 5*r - 25. Suppose -r = 2*p + 2. Sort a, 2\/11, p in descending order.\nAnswer: 2\/11, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 2711811.\nAnswer: -1, 5, 2711811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*z**2 - 154*z**2 + 76*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/24101 and 59\/176022.\nAnswer: 55094886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 2, 2\/27, -2\/9, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**4\/20 - 19*a**3\/10 + 28*a. Let m(d) = 0. What is d?\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3200578705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2352 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 9*y**2 - 11*y + 8. Let s be (-3)\/((-21)\/10)*(8 + -1). Calculate q(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + 136. Does 24 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/7)\/(22\/66)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -76664 divided by -2508?\nAnswer: 19166\/627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 2 = w + 27, 4*q = w + 24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2*(1\/1)\/(32\/(-48))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -589*d**3*g**3 + 7*d**3*g*j**2 - 11*d**2*g**3*j + d**2*g**2*j + d**2*j**2 - 4*d*g**2*j wrt d?\nAnswer: -3534*g**3 + 42*g*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 0 - 1\/3*t**3 - 3*t + 0*t**2. Let d(x) = -x**2. Calculate w(d(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -562 + 5?\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*v + 0)*(-1 - 3 + 3) + (-6 - 4 + 4)*(-4*v - v + 3*v).\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by 78?\nAnswer: -17\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 676251524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4, -2*d + w + 4*w + 3104 = 0. Let x = -9245\/6 + d. Find the common denominator of x and ((-198)\/(-112))\/((-4)\/(-14)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 9278*w + 18545. Calculate u(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.09611 and 4726?\nAnswer: 4725.90389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 141435071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -1\/8 (b) -132\/11647 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196151744.\nAnswer: 2, 19, 161309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5 - 46844*a - 11415*a + 4.\nAnswer: -58259*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/26 - (-173135)\/6500. Let o = 176\/25 - f. Calculate the common denominator of o and 81\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55\/(-33))\/((2*3\/9)\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53710793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -7*w - 15. Let o(r) be the first derivative of 3*r**2\/2 - 1187. Determine p(o(m)).\nAnswer: -21*m - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooepptotopoooet. What is prob of sequence pte?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b - 2198*b**3 + 15 + 2*b**4 + 4394*b**3 - 1 - 2198*b**3 + 17*b to the form s*b**3 + i + m*b + g*b**4 + v*b**2 and give m.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d = -30*d - 2*x + 1522, -d + 4*x = -512. Calculate the remainder when d is divided by 258.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 - -202.12491.\nAnswer: 201.32491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 + 28. Let a(n) = -n + 11. Let q be a(b). Let p be 0\/(4\/2 - q). Solve 5*c - 4*s = -0*s - 28, c - s + 6 = p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2366 + 2383. Solve 2*c = k*c - 30 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 1\/(-1))\/(8\/(-48)). Suppose 2*x + 4*r - 3904 = 0, -7*r = -5*x - 3*r + 9732. Is (3\/l)\/((-2)\/x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 490 * -3.4.\nAnswer: -1666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**5 + k**4 + 3*k**3 + k**2 + k. Let b(p) = -2*p**5 - 3*p**4 - 7*p**3 - 3*p**2 - 2*p. Let g(h) = -3*b(h) - 5*n(h). Suppose g(u) = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**3 + 26*g**2 + 5*g - 13. Let b(n) = 5*n**3 + 39*n**2 + 8*n - 20. Let u(m) = 5*b(m) - 8*j(m). Let c be u(13). Solve 0 = -c*x + 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10205809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 6*j - 6. Let f be w(5). Let t(v) = -356*v + 1. Let p be t(1). Let n = p - -4617\/13. Is f greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**6\/360 - s**5\/24 - s**4\/24 + s**3\/3 - 2*s**2. Let t(c) be the first derivative of d(c). What is the units digit of t(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0038 from -136793432.\nAnswer: -136793431.9962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 1419, 4, -2\/75, -13, -0.4, -2?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 3*s + 28 + 35, -18*d - 5*s = -211 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -2\/3 (c) -3 (d) -470\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -12*i. Let n(y) = y**2 - 10*y - 1. Let m(c) = -2*n(c) + 2*x(c). Give m(-7).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4837976 and 2717.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 39*g**2 + 126*g - 54. Calculate w(-42).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34\/21, -4, -0.2 in decreasing order.\nAnswer: -0.2, -34\/21, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 851 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6 and -647.\nAnswer: -646.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -31178174 and -0.617?\nAnswer: 31178173.383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001011010000110001 + 100010?\nAnswer: -10001011010000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + 3*i**3 - 3*i**3)*(-53*i - 182 + 182) + (3 - 3 + 2*i)*(4*i - i**3 + 31*i**2 + 4*i - 34*i**2).\nAnswer: 51*i**4 - 6*i**3 + 16*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/44*((-331958)\/764)\/869?\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -30810*r - 3758825. Calculate u(-122).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**4 + 4*b**3\/9 + 256*b**2\/3 + 112*b + 134. Find v, given that m(v) = 0.\nAnswer: -6, -2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 10579*s + 888641. What is o(-84)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.7+-1522750249\nAnswer: -1522750250.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13, -30, -59, -100, -153?\n\"Answer: -6*g**2 + g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7013, 7009, 7005, 7001, 6997, 6993?\n\"Answer: -4*n + 7017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n**3 - 701 + 701.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-39076)\/660*-3 + (-2)\/(-11). Let y = t - 177. Let c = -0.1 - 0. What is the closest to c in 1, -2\/9, y?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8641324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33015.09 + 32788. Let p = g + 228. What is p rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 9. Suppose -2*d = -5*k + 4, 6*d - k - 7 = p*d. What is the units digit of 2 + d\/(-2) - (-290)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4168238669?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -156\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -65 + -39 - (-26 - -2)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -9. What is the closest to 0 in -1\/2, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -8. Suppose -q*h = -4*w - 29, h = 2*h + 2*w - 3. Suppose h = 3*u - 1. Sort 0, u, -1 in decreasing order.\nAnswer: u, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25155 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -143*s + 110*s + 253*s + 1 - 10*s - 6*s + 10*s + (-4 + 0 + 3)*(-7*s + 3*s + 3*s).\nAnswer: 215*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -10. Let w = -8.5 + 1.8. Let x = w + 7. Which is the second smallest value? (a) -2\/17 (b) i (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, 44 in decreasing order.\nAnswer: 44, 7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 - 279*m + 1883. Give q(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*s - 32*s + 6*s + s + 836*s**2 in the form f*s + p + y*s**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 times -8483.6?\nAnswer: -1518564.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 - 24. Let z be (-20)\/15*g\/(-1). Let s(a) = a**3 + 9*a**2 + 7*a - 2. Is 6 a factor of s(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.772 to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i**2 - 5*i - 13. Calculate t(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 289 - 578. Let r = o - -419. Suppose -30 = 4*b - r. Is b a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndblbvlnvvullbv. What is prob of sequence lb?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - u - 12 = 0, -4*u = 3*t + 4 - 1. Suppose -3*h + h + 34 = 3*s, -s = -h - t. What is the least common multiple of 64 and s?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-362493)\/(-504) - (-6)\/(-16) - -5. Let j = r + -724. Is j bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-2 - (sqrt(19) + -1 + -2))**2.\nAnswer: -42*sqrt(19) + 940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16324 = 324*h - 4088 for h.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from occoossccaasscc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 14680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 201 and 19029?\nAnswer: 1274943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1447 + -0.0447. Let x = -317\/8 + 40. Which is the nearest to 1? (a) t (b) -2\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 7*m = 76. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 1\/6, -1\/5, -1\/4, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56864.\nAnswer: 2, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*w + 1 = -r, 2*r + 3*w = -3. Does 7 divide (17\/4)\/(r\/24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -3*g + 6*g - 18, -2*g + 7 = -3*j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 10\/643?\nAnswer: 10\/643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 337*j**3 - 7*j**2 + 3*j - 1. Let p be s(2). Let c = p - 1420. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -60, -249, -566, -1011?\n\"Answer: -64*t**2 + 3*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + u - 1. Let z(j) = j**3 - 8*j**2 + 7*j - 2. Let n(l) = -2*x(l) - z(l). Let p(m) be the first derivative of n(m). Let p(i) = 0. Calculate i.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -350411*w + 237665.\nAnswer: -350411","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((-196*64\/(-10752))\/(14\/3))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*x + 2*x - 177, 25 = -5*x. Calculate the remainder when i is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9 - 6)*2\/2. Let l(o) = o**2 + 3*o + 2. Let v be l(-2). Suppose v = -t + y*t - 4. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i + 2*i - 9*i - 7 + 2*i**2 + i. Is 9 a factor of y(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**5\/60 - d**4\/8 - d**3 + 3*d**2. Let t be i(5). Solve -4*w = t + 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36981.91 rounded to the nearest 100?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 133795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**5 - 13*j**5 + 5*j**5 + (-2*j**2 + 4*j**2 - 4*j**2)*(-2*j**3 - 3*j**3 + j**3) + j**5 - 2*j**5 + 3*j**5 + 24*j**5 - 52*j**5 - j**5.\nAnswer: -28*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1 + (-6 + 2 + 19)*(1 + 6 - 3))*(12*l**5 - 11*l**5 + 0*l**2 - 3*l**2 + 4*l**4) + (-5*l**3 + l**3 + 3*l**3)*(-1 - 2*l**2 + 1).\nAnswer: 63*l**5 + 244*l**4 - 183*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - e?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -315809 divided by 221?\nAnswer: -1429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 - -63. Let n(q) = q - 7. Determine n(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*f - 15 = 0, 3*f - 3 + 33 = 3*n. Solve -n*r + 11 = 36, -3*k + 16 = -5*r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - h**4 - 317*h**2 + 7*h**3 - h + 0*h**3 - 1 + 309*h**2 in the form w*h**4 + j*h**2 + b*h + c*h**3 + d and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bi when two letters picked without replacement from {i: 2, b: 1, g: 2, a: 4, p: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26145 and 113876?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 8*z**2 - 4*z - 10. Let b be p(-7). Let v = b + 53. What is the remainder when 65 is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 11 - (36 - 28).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 46*f + 46. Calculate x(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3 - -1)*144\/(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 AM and 2:43 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 457 + -270?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/15)\/(1360\/(-10200))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 249\/30473 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 4) + 16 + 10 + 2. Suppose 0 = -10*o - y*o + 2788. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23478361 to the power of 1\/3, to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 173905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -82*z - 2. Let v be y(-5). Suppose 3*m - v = -0*m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -94*x - 1000. Calculate the smallest common multiple of s(-12) and 56.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(4\/5)\/r)\/r)**47)**40\/(((r\/r**6*r)\/(r*r**9))\/(r**(-8)*r**(-2\/5))) assuming r is positive.\nAnswer: r**(-11252\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h - 2*h**2 - 4*h)*(111*h + 154*h + 25*h)*(-10*h + 8*h + 5*h) to the form x*h**3 + r*h**4 + j + t*h**2 + d*h and give r.\nAnswer: -1740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1641.75 - -1427.8. What is m rounded to the nearest integer?\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**3 - 4*q**3 - 2*q**3 + 0*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 46, 57, 64?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k + 3. Let j be (5\/((-5)\/(-3)))\/(-1). Let w(f) = f**2 - 5*f + 5. Determine j*w(v) + 5*s(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 623 + 174*d - 178*d + 169*d**2 - 623 to a + x*d**2 + g*d and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**5\/10 - 4*v**4\/3 + 5*v**3\/3 + 14*v**2 + 33*v. Factor t(m).\nAnswer: 2*(m - 7)*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000119514532 to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/88224997 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.7 + -9.1. Let c = -3644.59925 + 3644. Let d = c + m. What is d rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g + 17 - 97 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -98*g**3*o**3 - 2*g**2*o**2 + 2*g**2*o + 4675*g*o**3 wrt g.\nAnswer: -588*g*o**3 - 4*o**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/((n\/n**0)\/n*n*n)))**(-1\/14))**(2\/57)*(n*n**(-2\/3))**(-2\/137)\/(n**(-1))**(1\/53) assuming n is positive.\nAnswer: n**(8681\/965713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l**3 + 9*l**2 - 20*l - 1. Let t be f(-3). Solve t*y = -2*c + 7*c + 50, -3*y - c + 22 = 0 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.7513 millilitres in litres?\nAnswer: 0.1077513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**14\/f)\/(f*(f**(-10)*f)\/f))\/(f**(-2\/3))**(-33))**(-4\/33) assuming f is positive.\nAnswer: f**(-4\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -10*h**2. Let l(b) = -24*b**2 + 2. Determine l(p(s)).\nAnswer: -2400*s**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53652812 + -111594607\/2. Let u = h + 25670653\/12. Let s = -5280 - u. What is the common denominator of -27\/14 and s?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27290 + -2555416. Let w = n - -985970389\/390. Let f = 152\/39 + w. Find the common denominator of -125\/6 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b483 (base 12) in base 3?\nAnswer: 1000000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19\/50 + 12\/25. Let p = 121.2 - 111. Let s = p + -10. Which is the biggest value? (a) g (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-13)\/(-12) + (-9)\/(-36).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - ((-20)\/(-8) - 2\/(-4)). Let u(d) be the first derivative of v*d - 1\/2*d**2 - 12. Let c(w) = -8*w**2. What is u(c(i))?\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15388969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -962 + -53015463?\nAnswer: -53016425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o - 16 + 6*o - 23*o + 9*o. Calculate c(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -112 + 121. Let m(k) = 30*k - 1. What is the remainder when m(3) is divided by 3*(-6)\/i + 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1795238756 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 26\/(-39) - ((-38)\/30 + 1). Which is the closest to -3? (a) -4 (b) 0.4 (c) u (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*g - 5 = -59*g - 3*k, -2*g - k = 5. Let t(r) = 3*r**3 + 2*r**2 - r + 1. Calculate t(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -26.1. Let q = -0.54 - -0.04. Which is the closest to n? (a) q (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0075666758 to 5 dps.\nAnswer: -0.00757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**2 + i - 1. Let g be n(1). Suppose 3*h = g*k + 52, -4*h - 2*k = -29 - 11. Calculate the highest common divisor of h and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -8*p - 153 + 149 - p + 7*p. What is r(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/40 - 169\/360. Let u = -19 - -25.3. Let f = -1.3 + u. Sort y, f, 1\/9 in descending order.\nAnswer: f, 1\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 6.6 (c) -2\/7 (d) -0.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 7) in base 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -483*s + 112200 = -408*s. Calculate the lowest common multiple of 1012 and s.\nAnswer: 34408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15286351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from pttttttpt.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332592.\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213 = -3*w - 225 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35355837 is divided by 195.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21200021 + 0?\nAnswer: 21200021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 4. Let k be 7\/(-14)*(w + -1). Suppose -2*s = -k*s. Solve s = n + 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1428\/(-6))\/(-17) - 5*-1 - -7?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 199138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 73709?\nAnswer: -73709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43758 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (70\/(-21))\/((-45)\/27). Solve -y = 28*k - 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 - 285*b**2 + 7920*b + 16940.\nAnswer: -5*(b - 22)*(b + 2)*(b + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b**3 - 280626*b + 1439 - 4*b**3 - b**3 + 3*b**3 + 280430*b wrt b.\nAnswer: -3*b**2 - 196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, -5, 1\/4, 0.11, 3, 0.21 in descending order.\nAnswer: 46, 3, 1\/4, 0.21, 0.11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2522.8856 rounded to zero decimal places?\nAnswer: 2523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -s + m, 0 = 5*s - 3*m + 16 + 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 410208289 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/17150 and 79\/45?\nAnswer: 154350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10099224 by 12.\nAnswer: 841602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 353 divide 1301344916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15176.037 + -15166. Let m = w - 0.037. Which is the third smallest value? (a) 5 (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 6819552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3533.611ug?\nAnswer: 0.003533611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r + 5*s - 4543 = 0, -27*r + 24*r = 2*s - 838. Let p be 98\/8 + (-2)\/8. What is the greatest common divisor of r and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**4\/6 + c**3\/6 + 221*c. What is g(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 50*q**3 + 8*q**3 + 14)*((1 - 3 - 2)*(0 + 2*q + 0) + 3*q - q - 3*q).\nAnswer: 378*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 187\/170*-5*168\/(-44)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 568 divided by 8.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -32553*j. Let z(v) = 7*v**2. Calculate z(q(t)).\nAnswer: 7417884663*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 4*d - 6*d + (2*d - 3*d + 2*d)*(-3 + 3 + 3) + 2 + 2*d - 2 + (-2 + 2 - 2*d)*(0 - 4 + 3) + 5*d - d + 0*d)*(0*d - d - d)*(6 - 6 + 3).\nAnswer: -54*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 + 0*p**2 - 2*p**2)*(-1 + 0 - 2)*(0 + 3 - 4).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1890)\/(-990) - (-60)\/(-66))\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -473 = -473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of -11*p**6\/360 + 4*p**3\/3 + 11*p. Let o(w) be the second derivative of a(w). Let h(u) = -u**2. Calculate o(h(m)).\nAnswer: -11*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -13. Suppose 0*c - 5*c + 665 = g. Suppose -2*y - 3*j + c + 2 = 0, 0 = -4*j - 4. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2 + sqrt(450)*1)**2 + sqrt(450))*-3*-4 + 5 + 3.\nAnswer: -540*sqrt(2) + 5453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170028421 is divided by 73?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012067536 to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -850 + 852. Solve -9*k = -v + 29 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17303 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4\/17 - 5170*w**3\/17 + 41490*w**2\/17 + 5170*w\/17 - 41488\/17 = 0.\nAnswer: -2593, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -0.126 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80181231 - 158505231. What is m rounded to the nearest 1000000?\nAnswer: -78000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3552\/176 + -20)\/(1 + 75\/(-55)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 450932 and 1264?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -400\/3 - -135. Let f = -96 + 98. Let s = 1.1 + -1. What is the nearest to -3 in s, a, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8148842197 to the power of 1\/5, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -13. Let d(l) be the third derivative of g*l**3 + 0*l**4 + 0*l - 3*l**2 + 0 - 1\/30*l**5. Let b(o) = o. What is b(d(s))?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 23009427. Let l(r) = 5*r. Give l(x(p)).\nAnswer: 5*p**2 + 115047135","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 528, 2310, 5302, 9516, 14964, 21658?\nAnswer: 29610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**5 - 9*v**5 - 5*v**4 - v**2 + 2*v**3 - v**4 + 17*v**4 = 0. What is v?\nAnswer: -1\/3, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, i: 3, h: 1, n: 2, s: 7}. Give prob of picking 4 s.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3870478 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 f when two letters picked without replacement from mmmfffmmfmmmfmmfmmm?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 948.5 - 948.5532. Is 1\/3 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720 divided by -5?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + -2 - (sqrt(40)*2)\/sqrt(8))**2.\nAnswer: -20*sqrt(5) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 2*q - 24 = 0, -1078928*t - 4*q + 81 = -1078893*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 903677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/4 - 11853*z - 47408.\nAnswer: -(z + 4)*(z + 47408)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 563888*n**2 - 4*n + 56. Let c be y(6). What is c rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -5*v + v + 71 - 56, -4*v + 10*r = 6 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 31 = -2*u, -4*u - l + 20 = -3*u. Let g = -45 + u. Let o = 6 - g. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -93*p**2 + 1229*p - 177. Calculate h(13).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1382 - 418. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -115*x - 110*x + 226*x + 1. Let t(m) = 3*m + 2. Determine 5*a(n) - t(n).\nAnswer: 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 863*p - 866*p + 4 + 1 - 3. Give l(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 20*a = -180. Suppose 0 = 3*n - a, n + 20 = 5*c - 2*n. Put c, -2, -4 in descending order.\nAnswer: c, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-20)*(-7)\/(14\/(-4)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 4:47 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2312*r**2\/3 + 18527*r\/2 - 186 = 0.\nAnswer: 93\/4624, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + n. Let l be z(-6). Let q be 36\/l*(-10)\/(-4). Suppose 6*o = q*o + 114. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2 + 6. What is s in 6*s**3 + s**3 - g*s**2 - 5*s**3 - 2*s**2 = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 10:16 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 265623263 and -0.2?\nAnswer: -53124652.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 2. Suppose 10*x - 9*x = 6. Give f(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54*(-21)\/(-56) - 17?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9018 and 0.38?\nAnswer: 3426.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 1 - s - 1. Suppose 4*z - 5*c + c - 20 = 0, 0 = -4*z + 3*c + 24. Suppose z*a + 23 = -22. Calculate k(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 3*l - m + 6, 0 = -m. Let v be (-18)\/(-4) + (l - (-12)\/8). Suppose 2*h = -v*h - 2400. What is h rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**2 + 13*o - 39. Let m be x(13). Let i = 550 + m. Solve -2 = -2*f - 2*u, -2*f - 2 = -i*f + 2*u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*l - 34 = 0, -3*l + 0*l - 12 = 0. Let z be (-2)\/(-9) + 5180\/(-63). Let i = z + 159. Calculate the greatest common divisor of u and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1853, 59, -5 in decreasing order.\nAnswer: 59, -5, -1853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, i: 3}. What is prob of picking 4 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64559.\nAnswer: 11, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 188 - 163. Which is bigger: h or 171\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -h - h. Let y = -1 + h. Let q = 4 + y. Solve 3*i = -3*a + 30, 0*a - 2*a - q = -4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 4*g = 140, 137*u - 129*u + 3*g = 275 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*w = 223509, 4*f + 3*w - 178788 = 7*w. Round f to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6350 or 25395\/4?\nAnswer: 25395\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1092173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 171643990 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.26281101 - 1.2629. What is l rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)\/(sqrt(110)\/(sqrt(40) - sqrt(10)) + sqrt(11)))\/((sqrt(81) + sqrt(81)*1)\/sqrt(3))*-4)**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 0.02, -1, -0.019, 17, -5 in decreasing order.\nAnswer: 17, 0.02, -0.019, -1\/4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*n**3 - 77*n**3 + 154*n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 12. Let h(f) = -10*f - 65. Let j be h(-8). Is (j + g)\/(-3) - -761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**2 - 3*y - 3. Let b be d(-3). Suppose 4*s + 0*s = 5*q - 7464, 2*s = -4*q - 3732. What is the tens digit of (-2)\/b - s\/36?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2269573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 9*p**2 - 4*p - 6. Let b be z(8). Suppose -26 = -3*x - 5*s + 14, 3*x - b = 2*s. Solve -4 = 2*h - x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 7*y + 110. Find the common denominator of 1\/5 and (-322)\/y + (-4)\/20.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 144*k - 3 + 3 + 144*k + 4839*k**2 - 286*k to s*k + u + z*k**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfiwfwidvfifiivwiie. Give prob of sequence wi.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 210 + -75. What is the remainder when r is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -12480*l + 37051. Calculate a(3).\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 0*a**2 + 4*a**2 - 31*a.\nAnswer: a**2 - 31*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 4*q + 3. Let t be k(-4). Let d(z) = -1 + 0 + 6*z - t*z**2 + 2*z**2. Let y = -1 - -6. Determine d(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, e: 2, u: 4, y: 1, c: 7, z: 1}. Give prob of sequence zu.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29.6 and -4?\nAnswer: 118.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1037424, 1037464, 1037490, 1037496, 1037476, 1037424?\n\"Answer: -g**3 - g**2 + 50*g + 1037376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b + 2*b - 2*b)*(0 - 2 - 2 + (3 - 3 + 2)*(0 + 3 - 2) - 2 - 1 + 1)*(5*b - 6 + 6)*(-4 + 4 + 2*b) in the form j*b**2 + g + x*b + t*b**3 and give t.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1745 - 1745 - 94*d.\nAnswer: -94*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -2\/9 (c) -99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -235, -910, -2037, -3616?\n\"Answer: -226*j**2 + 3*j - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/(-990))\/(((-9)\/(-3))\/(-63))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**3\/6 + 6*j**2 - 5*j. Let q be d(0). Calculate the greatest common divisor of q and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -5*d + w, -19487*d + 19486*d - 5 = -3*w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {o: 10, z: 9}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9252738 and 4766562.\nAnswer: 157296546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*i**4 - 11*i + 17*i**4 - 5*i**4 wrt i?\nAnswer: 252*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lwwlwllllll.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (3 - 7) + 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 1)*(-8)\/((-40)\/25). Suppose -u - 2 = u. Which is the second biggest value? (a) i (b) -1\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1722 (base 10) to base 16.\nAnswer: 6ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.01 + 0.01. Let o = -0.5118 + 0.4118. Let v be 1\/9*(0 + -2). What is the closest to o in v, 0.5, m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 839 = 313. What is the remainder when c is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from ayyyhaaayay.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**3 + 14*h**3 + 2 - 39*h**3 in the form q*h**3 + k*h + v + f*h**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/(-9)*15\/20. Which is bigger: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 0*g**2 + g**2 - 6*g - 1 + 3. Let k be 10*((-80)\/25)\/(-8). Determine f(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -1501*p - 8978. Let d be x(-6). Solve -d*j + 27*j = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21 + 72 + 38*z**4 - 27*z**4 wrt z?\nAnswer: 44*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/(3\/(-6)*4). Suppose 2*y - h = y. Suppose -5*j = -a - 65, 4*j = 2*j - 2*a + y. Solve 0 = 3*x + j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 4. Suppose 3*d - 5 = o*d. Suppose d*x - 147 = -2*j, 5*x - 117 - 42 = j. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 268 - 13?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46543, -46537, -46519, -46483, -46423?\nAnswer: -46333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022 (base 3) in base 6?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 1:32 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*z - 48*z + 108. Suppose -3640 - 1724 = -z*b. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89 + -90. Let f be ((-4)\/14)\/t - (-2)\/(-7). Solve 0 = -h - 2*v - 1, -25 = -5*h - f*h + 5*v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 6548.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 6 = -36. Let z(a) = 76 - 31 - 23*a - 23 - 26. What is the tens digit of z(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 9*m - 10*m = -6, 5*l - 10 = -3*m. Solve 2*t = -28*g + 31*g, 0 = -l*t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3024052140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from hhhrrrh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 508 + -504. What is the second smallest value in 606, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 12 = -k + 50, -3*o - 4*k = -53. Let i = o - 9. List the prime factors of 10\/15 - (-122)\/i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 9 = -5*p - 1, 4*w = 5*p + 35. Suppose -2*f - 160 = -w*y, -6*y + 3*y + 96 = 5*f. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**1)\/w)\/w)\/(w\/((w*w\/(w*w**(-4)))\/w))*(w**(-1\/4))**(-45) assuming w is positive.\nAnswer: w**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbbbddbbbbdd. What is prob of picking 1 d and 1 b?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11755 take away -25396?\nAnswer: 25395.88245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-9)\/4)\/((-6)\/1888).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 81, -624, -1331, -2040, -2751?\n\"Answer: -y**2 - 702*y + 784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b**2 - 17*b - 29. Let g(a) = a**2 - 3*a - 5. What is 34*g(o) - 6*p(o)?\nAnswer: -2*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12634380 and 1080?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27968\/13 - 2150. Let q = 10 + -8. Is q >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -122*f - 5858. Let m be x(-48). Let n(r) = -27*r**2 - 3*r - 3. Let w(c) = -26*c**2 - 2*c - 2. Calculate m*n(b) + 3*w(b).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 24*l + 45. Give i(-22).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**1)**(-36))**45*(u\/(u*u\/((u\/(u\/(u**(2\/7)\/u)))\/u)))**(-1\/12)\/(u\/(u\/u**(-4))*u*u*u**(-6)) assuming u is positive.\nAnswer: u**(-271469\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 45 = 5*q, -5*i = -3*q + 75 - 212 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48786 is divided by 667?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3\/5*-5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 59*j + 54*j + 161, -2*u + 41*j - 1275 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*r = 0, 0 = -v - 0*v + 4*r. Suppose 4*j + 26 = 2*m, 0 = -3*j - 19 + 4. Let q = m + v. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1683*i**3 - 33 + 1654*i**3 + 9 wrt i?\nAnswer: -87*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-13)*(-7)\/(-21)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 82, 79.\nAnswer: 5, 79, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2677*y - 907*y - 153*y to the form g + o*y and give o.\nAnswer: -3737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*z + 22 + 6, 5*z + 2*s = 45. What is the highest common factor of 1 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 75 = 5. Suppose l = 392*r - 397*r. Put 4, -21, r, -3 in ascending order.\nAnswer: -21, -3, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 2645016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*h**4 - 23*h**4 + 32*h**4 + (17*h**3 + 12*h**3 - 4*h**3 + 28*h**3)*(0 + 4 - h - 6).\nAnswer: -91*h**4 - 106*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -3*f + 2, 3*r = f + 2*r - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 11. Let g = 0 + 4. Suppose g*q - 64 = -4. Solve c = o*c + q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347313 (base 9) in base 10?\nAnswer: 208749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -12, -18 in decreasing order.\nAnswer: 4, -12, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*f - 22*f - 72*f to the form g + u*f and give u.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 490, 1\/8, 2\/3.\nAnswer: 1\/8, 2\/3, 490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - u + 13. Let z be d(0). Let a(v) = -12*v - 36. Let t be a(-16). What is the highest common factor of t and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 2*m - 3*m**2 + 14 - 3*m + 2*m**2. What is the units digit of x(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1799377477 to the power of 1\/2, to the nearest integer?\nAnswer: 42419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -2.3. Let u = -4 + m. Let x be 2\/(-7) + (-8)\/(-14). Is x at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (2 - -3 - 2) - (0 + -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y + 136 + 8. What is the remainder when y is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*d**3 - 2*d - 22*d**3 - 3 - 30*d**3 to x*d**2 + i*d + g + p*d**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(-39) - 3\/(-9). Let t = 18 + -18. Which is greater: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 0) + 5\/(-10)*4. Solve r + 1 + 0 = c for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 170208 divided by 3\nAnswer: 56736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1365 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19.04 - 570.54. Let z = -551 - u. Which is the nearest to -0.1? (a) z (b) -3\/5 (c) 9 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6ba0 (base 12) to base 3\nAnswer: -121120010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 5. Find the third derivative of -11*h**j + 4*h**4 + 4*h**4 - 3*h**2 wrt h.\nAnswer: 192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/(j*j**(-6))))\/((((j**25*j)\/j*j)\/j)\/j)*(j\/(j\/(j*j**(-5\/2))*j))\/j**8 assuming j is positive.\nAnswer: j**(-77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2\/25 - 2\/25*k**4 - 4\/25*k**3 + 2\/25*k**5 + 4\/25*k**2 + 2\/25*k = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142935 and 585.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - n - 26 = -3*o, 0 = -2*o + 5*n + 26. Let c = o - 12. Suppose 3 = 3*q - 3. Solve c = g, -q*m - 2*m + 5*g - 13 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + 21. Calculate the remainder when 159 is divided by y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + 4. Calculate the remainder when -535*-3*(-3)\/(-45) is divided by b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + j + 3*j**4 - 5*j**4 + (2*j**3 - j**3 - 2*j**3)*(0 + 0 - j) + (3*j**3 - j**3 - 3*j**3)*(0*j - 4*j - 4*j) + j**3 + j**4 - j**3.\nAnswer: 8*j**4 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266*i - 180730000 = -247*i + 502*i. What is i rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 155*a - 154*a - 941. What are the prime factors of a?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2094252343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -1 - (0 + -5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209)*1*5 + sqrt(209))\/(-1*sqrt(44)).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*q - 3*q + r, 4*q + 4*r = -32. Put q, -5, -0.3 in ascending order.\nAnswer: -5, q, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10.8450776621 and 5.2.\nAnswer: 16.0450776621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n = -5*i + 20*n - 15, 2 = 4*i - 0*n + 2*n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-8)\/(-3)))\/(11\/(858\/(-351))).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 114*b**2 - 99*b + 1227. List the prime factors of s(21).\nAnswer: 2, 3, 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*((-3 + sqrt(700))**2 + sqrt(700))*2.\nAnswer: -5674 + 400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2855100079 to the nearest integer?\nAnswer: 1419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 0. Let v be (-6 + 4)\/(2\/(-5)). Suppose 3*l + 3 = 2*l, v*j = -w*l + 389. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6781066?\nAnswer: 2, 47, 72139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.26536 - -895?\nAnswer: 869.73464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*c + 49*c - 8*c - 10*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + o - 1. Let t(x) = -3*x**3 + x**2 - 7*x + 1. Let m(d) = 4*b(d) + t(d). Let h be ((-12)\/30*5)\/1. Calculate m(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.4 + -2.11. Let j = n + 0.01. Which is the second biggest value? (a) -0.2 (b) j (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2 - 1. Suppose -5*x + j = h, -2*x - 3*x = j - 1. Solve 2*p - 6*p = x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-3))\/(r*r\/r**1*r))**(-1\/9)*(r*r**(-2\/7)*r*r)**(-4\/3)*((r*r*r*r**(1\/2)*r*r)\/r)\/(r**(3\/4)\/r) assuming r is positive.\nAnswer: r**(41\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 52584\/(-4695)*(-85)\/8\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from pwwpwhpwpfwvwprrv?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-49)\/(-42)*6\/63.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 200 and 1768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8615670 by -6.\nAnswer: -1435945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 18*d**2 + 1332*d - 138. Calculate c(-74).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11708*f**3*v**3 + 2575918*f**3*v**2 + 933*f**2*v**3 - 7*f**2*v**2 wrt v?\nAnswer: 70248*f**3 + 5598*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (18 - (20 - -5)) + (3 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -10*n - 18. Let z be r(-17). Calculate the highest common divisor of 19 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 53*o**2 - 1. Let r(d) = 50*d**2 + 2*d + 4. Let z(k) = 250*k**2 + 11*k + 22. Let q(h) = 11*r(h) - 2*z(h). Give w(q(l)).\nAnswer: 132500*l**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-2)\/3)*26. Suppose 5*o + 107 = -4*p, 44*p - 4*o = 47*p + 78. Which is greater: m or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 9.5.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/9)\/q*q**(-6))**(10\/7)*(q**(2\/3))**(-16)*(q**(-2\/27)\/q)\/(q**0*q) assuming q is positive.\nAnswer: q**(-4268\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 426 and 501?\nAnswer: 71142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18088757993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1*(10 + -7) - (-70)\/22\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06460198 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -59, -8, 67, 172, 313?\nAnswer: 496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ee50b8 (base 16) to base 6\nAnswer: 1314430344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m*n**2 + 2*m - 43806*n**2 - 220244 with respect to n.\nAnswer: 4*m*n - 87612*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/73 (b) 4 (c) -3\/7 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c**2 - 2*c - 21. Let v be u(3). Suppose 208 = h + 3*h. Let k(z) = v*z - 2*z**2 - h + 3*z**2 + 63. Determine k(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**4 - 8316*h**3 - 1785135*h**2 + 26218458*h - 93198000 = 0.\nAnswer: -2536, -250, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 1:16 AM?\nAnswer: 7:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**3\/3 + 4*k**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 19 + 4 = 2*b - 2*c, -5*b - 5*c + 15 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 514024 by -73432.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 10 = -5. Let o be (-2)\/((0 - l)\/(-2)). Solve 4*c = h + 27 - 8, -4*h = -o*c + 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2450.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**4 + 108309*c**3 - 541583*c**2 - 1408089*c - 758198 = 0.\nAnswer: -108314, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 379.3 + -377.3. Which is the second smallest value? (a) -3\/37 (b) 2\/15 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11223 and 1059399?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 18*r**2 + 19*r - 4. Let n be w(17). Calculate the common denominator of n\/(-50) - (-284)\/(-10) and -1\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b - 10*b - 14*b**2 - 4 + 12*b**2. Let s be z(-5). Solve -s = -4*f + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3649 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317231876.\nAnswer: 2, 13, 6100613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 10:24 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a meter in millimeters?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37179)\/(-3402) + 2\/28?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3283034343 to the power of 1\/2, to the nearest integer?\nAnswer: 57298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**2\/5 - 10292*d\/5 - 8240 = 0.\nAnswer: -4, 5150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122*o + 2*o**3 - 4*o**2 + 5 - 124*o + 2*o**4 + 3*o**2 to k*o**2 + i*o**4 + s*o + d*o**3 + q and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -4675*n - 280598. Give h(-60).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3546 is divided by 697.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8504*x**6 - 2189*x**2 - 1 wrt x?\nAnswer: -1020480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 720 (base 15) in base 9?\nAnswer: 2173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 144683 to the power of 1\/2, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, u: 2, y: 8, n: 3}. Give prob of picking 4 y.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -b. Suppose 54 = -b*t - 9*t. What is the nearest to -1 in t, -4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - 0)*(-11 + 124\/12). Put 14, y, 3, 0 in ascending order.\nAnswer: y, 0, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0. What are the prime factors of (1 - -8) + z*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 8*x**2 - 11*x + 12. Give f(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -8. Suppose -m*b + 2 = 0, -5*l = -b + 2*b - 46. Suppose 5*z - 21 = 3*w, 0 = -0*z - 3*z + w + 11. What is the lowest common multiple of l and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 100*(12\/8 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73815 by -64.\nAnswer: -73815\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -151913\/2 - -75964. Factor -250 + 75*q + 1\/4*q**3 - o*q**2.\nAnswer: (q - 10)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 817388.4ug in grams?\nAnswer: 0.8173884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*j + v - 9938 = 113*j, 3*j - 7448 = 2*v. Calculate the highest common factor of j and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 2, t: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 + 13 + -11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -966 = 205*x - 136*x for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzzz when four letters picked without replacement from zxzzxzxzzzxzxxxzzzz.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 110239206 and 22.\nAnswer: 110239228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67205*h + 92148 wrt h?\nAnswer: 67205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5 times 0.0939?\nAnswer: -0.23475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 12 = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7301 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 394 minutes after 9:35 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**7\/35 + q**5\/6 - q**4\/6 + 7*q**3 + 2*q**2 - 9*q. What is the second derivative of n(w) wrt w?\nAnswer: 72*w**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132)\/(-168)*35*148\/185.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -343493, -343395, -343299, -343205?\n\"Answer: -t**2 + 101*t - 343593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 4*x. Let v(q) = -2*q**2 + 7*q. Let u(b) = -7*n(b) + 4*v(b). Let f(y) = y**2. Let z(t) = f(t) - 5*u(t). Let w(i) = i. What is w(z(k))?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 - 14. Let s = -1 + t. Suppose 5*i - 47 = 3. Calculate the lowest common multiple of i and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -0*d + 2*n - 10, -5283*d + 5288*d - 6*n = -30 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3 + 5 - 16*g**2.\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1715, -4224, -6733?\nAnswer: -9242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from afybbbzafmbzfzamz. Give prob of picking 1 a and 2 f.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 14*n = -243060. Suppose h = -3*y + 4*h + n, 4 = -h. Round y to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -930 + 6523\/7. Calculate the common denominator of 71\/2 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**4 + 444*u**3 - 2640*u**2 + 5264*u - 362. Factor n(m).\nAnswer: -4*(m - 329)*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kye when three letters picked without replacement from eeykyyiyexy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 710*j**5 - 1393*j wrt j.\nAnswer: 14200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 6. Let g be u(-14). Let r be 30\/(-7) - g\/(-28). What are the prime factors of 6\/r*(-376)\/12?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88303 - 88327 + 33*k + 264939 - 88309.\nAnswer: 33*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1010\/110 + -9 - 16905\/231?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + r + 47 = 45, 7 = c + 3*r. Put -94, -3, c, 4 in descending order.\nAnswer: 4, c, -3, -94","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -92 - -100. Suppose -2*x - 5*i - 315 = -v*i, 5*x + 3*i = -798. Let c = -11 - x. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*s - 75 = -17*s. Let u(m) = -36*m - 168. Let h be u(s). What is the greatest common factor of 300 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 8611 - 106012. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 112474286, 112474285, 112474284?\n\"Answer: -h + 112474287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 4*f - 16, 5*f = 30*j - 29*j + 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/2 - 733*n**2\/2 - 75240*n - 2865618.\nAnswer: -(n + 49)*(n + 342)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -6. Suppose 0 = 3*s - j - 37, 3*j + 51 = -5*s + 136. Suppose -5*m + y*m = -s. Solve m*q + 8 = 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242543 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 12:16 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 5*u + 3*h - 10, -2*u + 10 = 4*h. Let n(p) = -p**3 + 9*p**2 + 11*p - 2. Let y be n(10). Let m = y + -5. Solve -u*z = -2 - m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -306128, -612376, -918618, -1224848, -1531060, -1837248?\nAnswer: -2143406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 v, and 2 u when four letters picked without replacement from uhfvffhfdfhvdvuhff?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 28 = -909*f + 913*f, -35*f + 130 = -5*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1208855650?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -237500 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-8))\/((-82)\/(-164))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 653\/2996 + 24\/749. Let r = 1\/13 + 8\/65. Which is the nearest to i? (a) 1\/4 (b) r (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 361 divided by -17882.\nAnswer: -361\/17882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 3\/8)\/(15\/(-10)). Which is the closest to q? (a) 1\/9 (b) 0.3 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 11 = 2*a, 4*a + 4*r + 23 = 3*a. Let y = a - -13. Suppose 0 = -5*x - z + 17, 7*z - 9*z + 4 = 0. What is the remainder when y is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388*n + 2148*n + 118047 + 59015 = 39782 for n.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18, 13, 8, 3?\n\"Answer: -5*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*r**4 + 15113*r**3 + 68*r + 16951086?\nAnswer: -8*r**3 + 45339*r**2 + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14*83\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**4\/8 - 7*j**3\/3 - 25*j**2. Calculate the lowest common multiple of w(8) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1393 - 24744*n**2 + 24742*n**2 + 476.\nAnswer: -2*n**2 - 917","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 20 = 60. Differentiate y*h**3 - 16*h**3 + 3*h**4 + 8 + 13*h**4 wrt h.\nAnswer: 64*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (4 + 3*(sqrt(500) + -1) - (5 + sqrt(135)\/sqrt(3) - (0 + sqrt(90)\/sqrt(2)))))**2.\nAnswer: -480*sqrt(5) + 4564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-520)\/1710*-19)\/((-2)\/(-9))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + -176\/3. Let l = 0.1 + -0.1. Put l, 2, t in increasing order.\nAnswer: l, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2*j\/(j**(-3)\/j))**(-3\/10)\/(((j*j**(-3)*j*j)\/(j*j**3))\/(j*j**(-3\/8)*j**(1\/4))) assuming j is positive.\nAnswer: j**(111\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5575*r**2*u**2 + 1365091*r**2 + 2*r + 2*u**2 with respect to u.\nAnswer: 11150*r**2*u + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 9:41 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7915136 rounded to one dp?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3, -55, -211, -513, -1009, -1747, -2775?\n\"Answer: -8*v**3 - v**2 + v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4210, 15431, 35072?\nAnswer: 54713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 4. Suppose 9*y - 2*z + 2 = 6*y, -y = -4*z - 16. Which is the third biggest value? (a) y (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 0 + 0*m**2 + 1\/6*m**3 - m. Let x(f) = 8*f + 10*f - 31*f. What is x(w(z))?\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + sqrt(208) + -1 + (sqrt(208) - ((0 + sqrt(208) + sqrt(208) - sqrt(208)) + 0))))**2.\nAnswer: -384*sqrt(13) + 3472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - v - 56 = -9*n, 0 = -n - 5*v + 6. Let c = n - -18. What is the remainder when (2 + -1)\/((-1)\/(-55)) is divided by c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (27\/15 - 3)\/((-6)\/260). Calculate the highest common factor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1386 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - a - 25, -2*a - 70 = -5*n + 2*a. Solve -6*w - 5*c = -w + n, -4*w + 5*c = -1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.9 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6540\/57225*1250\/(-4)*(-14)\/4.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 1)*(-2*g + 6*g - 2*g + (5*g - 2*g - g)*(-3 + 1 + 1) - 174*g - 75800 + 75800 - 5 - g + 5) to the form o + i*g and give i.\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 - 37*b - 30. Let j be d(20). What is the units digit of j\/(-15) - (1 - (46 - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 847 divide 10534139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - -13) + -3 + 7 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3\/4*g + 0 - 27\/8*g**2 = 0. Calculate g.\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 246, -0.01, 0.3, -3, -10 in descending order.\nAnswer: 246, 23, 0.3, -0.01, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 1:54 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = 2*l - 2. Suppose -559 = -3*h - 4*y, -132 = -3*y - 138. Calculate the highest common factor of h and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0.22. Let q = 0.17 + z. Let p = q - -3.05. What is the closest to 0 in -2\/7, -4, p?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 + 4\/7*6601\/615. Sort n, -1\/2, 1\/3, 2.\nAnswer: -1\/2, n, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -7, -16, 972 in decreasing order.\nAnswer: 972, -7, -9, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o + 9. Let a(f) = 5*f + 54. Let v be a(-12). What is g(v)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -2\/3, 8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**5\/20 - d**4\/2 + 5*d**3\/3 + 11*d**2 + 879*d. Determine w(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + 1 + (3 + 17)\/5. Let v(r) = -5*r**2 + 4*r - 2. Determine v(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 582772133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of 377*h**3\/3 - 189*h**2\/2 - 21*h - 3. Is j(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 6. Let a(z) = -z**2 - 7*z - 6. Let k be a(-7). Let g be w(k). Suppose -4*d + d + 2391 = g. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-4) - (-5 - -7). Suppose 4*f - 72 = -5*d, 36 = a*f - 0*f + d. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -45 and -4.701?\nAnswer: 211.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 129 = -c + 5*y, 4*y = 2*c + 266. Let f = 1498 - c. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**3 + 4*q**3 + 2*q**3 + (-3*q + 3*q**2 + 3*q)*(-4*q + 4*q - 2*q) + 2*q + 6*q**3 - 3*q**3 + 6*q**3.\nAnswer: 4*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l - 25*l + 12*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -469 (base 13) to base 6\nAnswer: -3311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**10)**(2\/101) assuming j is positive.\nAnswer: j**(20\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 252.1235359 - -916?\nAnswer: 1168.1235359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28764 and 1530.\nAnswer: 143820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.04 (b) -3 (c) -1 (d) -5 (e) 1 (f) 0.89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p**3*p*p)*p*p)\/p)\/((p**3\/p)\/p)*((p\/p**(-1\/12))\/p)\/p**(-5) assuming p is positive.\nAnswer: p**(25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10078*b + 55862 = 9956*b - 30550*b + 9615*b for b.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -5. Let z(j) = -32 - 10185*j + 20333*j - 10185*j. Let g be z(-1). Sort -5, g, t in descending order.\nAnswer: g, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 11:35 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*5\/(-30))\/2*18?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 3*a - 3*a)*(-2*a + 26*a + 36*a)*(-a + 2 - 2) to s + w*a**3 + i*a + r*a**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/2 - 123*l**2 + 2640*l - 4800.\nAnswer: 3*(l - 40)**2*(l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 0 - 16)*(-2*k + 5*k + k)*(49 + 53 - 26)*(-2 + 2 - 1) to y*k + p and give y.\nAnswer: 6992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110011 (base 2) to base 4.\nAnswer: 3303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 5*o + 9*o**3 + 5*o**3.\nAnswer: 14*o**3 + 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 5, -24?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5707 (base 12) to base 10\nAnswer: -9655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 12*b**2 - 6*b - 31. Let q be u(13). Suppose 6*l = 2*l + q. What is the remainder when 44 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -262817.5875 - -0.05123\nAnswer: -262817.53627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10801 and 84?\nAnswer: 129612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/18776 and 18\/100921.\nAnswer: 807368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2595359 (base 10) to base 16\nAnswer: -279a1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m**4\/4 + 5335779*m**3\/8 - 7559097*m**2\/4 - 2667915*m\/8 = 0. What is m?\nAnswer: -296435, -1\/6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.1 - 2. Let k = -329.8 + 327.8. Which is the closest to -2\/5? (a) k (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2*w - 2. Let g be (-1)\/((-2)\/12) - w. Let i(x) = x**3 - x + 5. Let z be i(0). Solve -z*j - 4 = -g*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -330 + 330.6. What is the closest to 0 in i, -23, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 + n + 76. Determine q(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11313132113 + 1?\nAnswer: -11313132112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, a: 7, v: 1, y: 3, p: 2}. What is prob of sequence pp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1257 and 1740107?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8840, -18921, -29000, -39077, -49152, -59225, -69296?\n\"Answer: k**2 - 10084*k + 1243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120036, -240071, -360106, -480141, -600176?\nAnswer: -720211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96897 is divided by 285?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**2 - h + 2. Let z be a(2). Suppose 0 = 2*q + j - 3, 4 = -3*q - 5*j - 2. Suppose 5*w - q*w = z. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 69 = 21. Let r(v) = -4*v - 7. Let x be r(5). Let p = a - x. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1187346188 to the power of 1\/2, to the nearest integer?\nAnswer: 34458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + 0 + sqrt(112) - sqrt(112))*-5 + sqrt(112) - (-2 + sqrt(112) + 3))**2.\nAnswer: 40*sqrt(7) + 2801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-124)\/(-31))\/(2\/(-4)))\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(114) - (sqrt(114) + sqrt(114) + (sqrt(114) - -2*sqrt(114)))) - sqrt(114))\/(-4*sqrt(6)*1) - (1 + sqrt(76) + -5 + 5).\nAnswer: -1 + 9*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 0*y - 2 + y.\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*q + 4 = 0, -5*q = 2*i - 20. Let l be (-36)\/(-24) + (-14)\/(-4). Suppose 0*p = l*p. Solve -3*b - n = -7*b + i, 3*b + 3*n = p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2229 divide 22920807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5 + 20*y**4 - 34*y**3 - 248*y**2 + 1056*y - 1152 = 0.\nAnswer: -4, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -88926928 less than -4?\nAnswer: 88926924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46629778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*k, 2*a + k - 211 - 241 = 0. Suppose v = -5*u + 48, -2*v - 3*u - u = -84. Calculate the highest common divisor of a and v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 - 4*y**2 + 0*y**2 + (2*y - 2*y - 2*y)*(-y - 3*y + 2*y) - 18*y + 4 + 13*y**2 - 2 - 12*y**2 to d*y**2 + w + k*y and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - 4\/(-4)*28. Solve 5*g - 3*a - c = 0, -2*g + 3*a = -2*a - 26 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**5\/20 - r**4\/12 - 9*r**2\/2 - 12*r - 1. Give l(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 12*k**2 + 1. Let i be a(-1). Suppose -3*v + 18 = 5*y - i, 5*v + 15 = 5*y. Is 5 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 158.\nAnswer: -5\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/152 and 75\/71582?\nAnswer: 5440232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3165560423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-4)*(-8)\/(-182)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005145417 to seven dps.\nAnswer: -0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*d = 0, -3*k + 57 = d. Which is greater: k or 18?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -5*f + 18*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*s = -2096, -6*t = -9*t + s + 1585. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1098)\/(-4)*(-3800)\/(-57). Round c to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -481 - -1927\/4. Let 3\/4*c**3 + 0*c + 0 - 3\/4*c**2 - j*c**5 + 3\/4*c**4 = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -14157, -14161, -14167, -14175, -14185?\n\"Answer: -y**2 - y - 14155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 72, -0.22?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 177817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 759240 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6283 - 1976?\nAnswer: 4408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 6 in ascending order.\nAnswer: -3, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 + -13. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*sqrt(3))**2 - (0 + ((sqrt(48))**2 - sqrt(3))).\nAnswer: -45 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 92495, 184976, 277457?\n\"Answer: 92481*i + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79060848 is divided by 1429.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 120706332073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*z + 5*d, 4*z + 10 = 4*d - 34. Let m(h) = -5*h - 7. Let x(t) = -t - 1. Let y(f) = z*x(f) + 3*m(f). Find the first derivative of y(w) wrt w.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 63. Let f(z) = z**2 + 63. Let r(c) = 4*f(c) + 5*x(c). Let i be r(0). Is (-1)\/(129\/i + 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fowkakq. Give prob of picking 1 o and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 0)*(-5 + 3 - 3)*(-3*k**3 + k**3 + k**3) in the form l*k**3 + a*k + o*k**2 + s and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 42002725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9391.\nAnswer: 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 1. Let v(l) = 6*l**2 + 5*l + 3. Calculate f(q) - v(q).\nAnswer: -6*q**2 - 5*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23\/2 + -71\/6. Which is the closest to -0.2? (a) v (b) 1\/3 (c) -0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 8:31 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 40741388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -93128994 divided by 189\nAnswer: -492746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f**2 - 25*f**2 + f**3 + 36*f**2.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + sqrt(11)))**2 + sqrt(11) + 0 + -2.\nAnswer: 17*sqrt(11) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k - 8*k - 4*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8*j - 50 = 0. Let w be 1 + -1 + 54\/j. Which is smaller: w or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 9105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -2*w**3\/3 + 21*w**2\/2 - 26*w - 576. Calculate q(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*k + 21 = -o, 0 = -4*o + 5*k - 16. Let z = o - 3. Is (56\/(-12))\/(z\/9) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1557 bigger than -1557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**2 - 12*l + 8 = 0. Calculate l.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 3, -0.2, -0.1, 4, 173?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 133 = 5*m. Let f(u) = -u**3 + 5*u**2 - 5*u + 4. Calculate the remainder when m is divided by f(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2827 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56*f**4*g - f**4 + 2*f**3*g - 40*f**3 - 25*f**2*g - 4*f*g - 2*g - 6 wrt f.\nAnswer: 1344*f*g - 24*f + 12*g - 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -299301, -598606, -897913, -1197222, -1496533, -1795846?\n\"Answer: -s**2 - 299302*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -412 + 1043. Let g = 891 - p. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11020021 (base 4) in base 7?\nAnswer: -115141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, w: 2, v: 10}. What is prob of picking 1 v and 2 w?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + 142 + (-32 - 7)\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1128 and (437\/(-2622))\/(4\/258)?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5363818 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2005883.\nAnswer: 11, 182353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, q: 2}. Give prob of sequence jj.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 92\/25, 0.369, 1\/2?\nAnswer: 0.369","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 31*b**2 + 693*b + 14630. Calculate s(-26).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34769756 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j + 201151*j**3 - 8*j + 255751*j**3.\nAnswer: 456902*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12212101 + 1202?\nAnswer: 12221010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + (7 - (-40 - -33) - 29).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 331810039 greater than or equal to 331810038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-410)\/(-4) - 5\/(-10). Suppose -4*v + j = 11. Suppose 4*z = 2*i + 94, -v = -z - 2*i + 8. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567542338.\nAnswer: 2, 11, 53, 107, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 12*o = -25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -37819 less than 13.1?\nAnswer: 37832.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2\/7 (c) 0.4 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 2*u + 20 = 0, -2*h + 6*h = -u + 26. Let y(d) = -2*d**2 + d**3 - 5*d - 3*d**2 - 7 + 0*d**3. Let p be y(h). Sort 2, -5, p.\nAnswer: -5, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*u - u**2 - 1117 + 560 + u**3 + 559 in the form g*u**2 + v*u + m*u**3 + i and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 70041600 rounded to the nearest 100000?\nAnswer: 70000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400507.\nAnswer: 157, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 989424.\nAnswer: -3957696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26801.6 litres?\nAnswer: 26801600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8 and 3126877.779059.\nAnswer: 3126869.779059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -3)\/((-7)\/(-2)). Let t = 692 - 690. Factor -p*d - 1\/7*d**t + 0.\nAnswer: -d*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -203*m**3 + 5 - 12*m**2 - 23*m**2 - 2*m - 5 - 62*m**2 wrt m.\nAnswer: -1218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15a4 (base 13) in base 3?\nAnswer: 11100122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*-6*2\/8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 214*m**5*x**2 - 12*m**4 - 1597*m**3 + 8*m**2*x - 7*m**2 + 686*m - 57*x**2 wrt m.\nAnswer: 12840*m**2*x**2 - 288*m - 9582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 3*p + 2. Let q be a(0). Put q, 3, 0, -1 in descending order.\nAnswer: 3, q, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 117 = -5479*l + 5499*l, -4*l + 4*y - 36 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3911.082 rounded to the nearest 100?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 9*g**2 - 7*g - 64. Calculate s(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 593025 != 593027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118964.\nAnswer: 2, 29741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gomamaylmaom. Give prob of picking 1 l and 1 y.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 150 = 5*u, 2524*v = 2472*v + 2*u - 1710 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(2 - (-28)\/(-16)). Let m be -10 + 7 - u*2. Let a be -1*(1 - 0)*m. Sort -1, -4, a in decreasing order.\nAnswer: a, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 15*h = 35. Solve h*g = g - 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 22 - 2*w - 16 - 6. Let z(o) = -5*o + 19. Give m(z(j)).\nAnswer: 10*j - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13738201, 13738202, 13738203, 13738204, 13738205, 13738206?\nAnswer: 13738207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 2*f + f. Suppose f*l - 113 = -2*q + l, 4*l - 142 = -3*q. Let a = -51 + q. Solve 3*t - 5*j - 7 = 0, a*t - t = 2*j + 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**5 + 3*p**4 - 12*p**2 - 6. Let y(w) = -w**4 - w**3 - 2*w**2 - 1. Let l(o) = -m(o) + 6*y(o). Factor l(c).\nAnswer: -3*c**3*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1718 + 1143.1718. Let g = t - 1143.00499. Round g to four dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p + 19 + 3*p - 7*p. What are the prime factors of s(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 2\/161 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (46\/3)\/1*(-13356)\/(-212). Calculate the highest common divisor of a and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78980 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 12670*u**2 - 6931900*u + 1431255640.\nAnswer: -5*(u - 158)*(u + 1346)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**2*n*o + f**2*n + 2*f**2*o - 26*f**2 - 15*f - 2950*n*o - o - 1 wrt n.\nAnswer: f**2*o + f**2 - 2950*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/27)\/(79\/9006). Which is greater: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*c**2 - 93*c**2 + 2861*c - 2860*c.\nAnswer: -31*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8\/5, 1.6, -8, 1\/9, 0.01, -5?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 3:01 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117\/(-26)*(-218)\/3.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n**2 - n**2 + 0*n**2)*(-61*n - 25*n + 54*n) to j*n**2 + d*n + o + r*n**3 and give r.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -8*a**4 + 3*a**3 - 7*a. Let d(f) = f**4 + f. Let p(g) = 28*d(g) + 4*l(g). Factor p(q).\nAnswer: -4*q**3*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 10\/131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -75 (b) -2 (c) -1 (d) -0.5 (e) -0.3 (f) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**4\/4 + u**3 + u**2\/2 + u + 31. Give v(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 5*c**7\/168 - 7*c**6\/24 + 5*c**5\/8 + 5*c**4\/24 - 55*c**3\/24 + 25*c**2\/8 + 20*c + 7. Factor s(x).\nAnswer: 5*(x - 5)*(x - 1)**3*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 2*o + 36. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88616589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41327\/6 - -6909. What is the common denominator of 163\/60 and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -86. Calculate the greatest common factor of l and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 - 24. Let c(s) = -s**2 + 10*s + 4. What is the least common multiple of 17 and c(d)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 5 + 21 - 4 - 1616*u)*(-3*u**2 + 2*u**2 + 5*u**2).\nAnswer: -6464*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -5*x - 36840, -2*p - 14766 = -4*p - 4*x. Suppose 0 = 2*u + 5*m - 2974, 0 = 5*u - 10*m + 7*m - p. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**6\/30 - p**2\/2 + 2*p - 1. Let u(l) be the first derivative of b(l). What is the derivative of u(k) wrt k?\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 393\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.3 - -0.3. Let k = o - 3. Suppose -27*d + 33*d = -12. Which is the biggest value? (a) k (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**6\/360 - 11*a**5\/120 + 7*a**4\/24 - 31*a**3\/6 + a**2 - 3*a + 5. Let k(j) be the second derivative of z(j). Give k(-9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 2*y - 4 - 3*y - 2*y + 7*y - 2*y + 0*y + 3*y + (2*y - 2*y - 2*y)*(-1 + 1 - 2) - 1 + 1 - 3*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -101*b**3 - 6*b**2 - 12*b + 6. Let z(c) = c**2 + 2*c - 1. Determine v(y) + 6*z(y).\nAnswer: -101*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + q)*(-2 - 1 + 1 + (3 - 1 + 0)*(1 + 1 - 3) + (2 - 2 + 3)*(-3 + 2 + 3) + 2 + 0 - 1).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2003.557729 rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-4)\/12*1 - (-127754)\/(-165)*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2832451259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/1246 and 43\/4.\nAnswer: 2492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1412800 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -741 + 741.0153. Let a = u - 0.01529068. What is a rounded to seven decimal places?\nAnswer: 0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/16362 and -67\/324.\nAnswer: 32724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5 + 1064*g**4 + 189024*g**3 + 11272068*g**2 + 9962622*g - 66542796 = 0. What is g?\nAnswer: -177, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o**4 - 246*o**2 - 2*o**4 + 245*o**2 + 1 + 14 + o**3 to g*o**4 + q + f*o**2 + l*o**3 + b*o and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -61b934 (base 12) in base 10?\nAnswer: -1534072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*sqrt(4050))\/(sqrt(110)\/sqrt(11)*-1).\nAnswer: 4 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -36.2796?\nAnswer: 217.6776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*f**2 - 43*f**2 + 20*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 23 = -3*v. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*j - 22742 - 162652. Does 134 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/3120 and -107\/5720?\nAnswer: 34320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 11:08 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (39\/33 + -1)*1. Let g be (-12)\/(-8)*(-4)\/6. Put k, -0.5, g in increasing order.\nAnswer: g, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4612 + 4611.99996271. What is u rounded to 6 dps?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152454 divided by -6.\nAnswer: 25409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 11:36 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yddx when four letters picked without replacement from {x: 3, d: 2, j: 1, f: 6, u: 5, y: 2}?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*m - 12, 0 = -2*m + 3 + 5. Suppose 3*s = x*z - 39, -5*s = z - 0*z + 13. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*q + 18 = 151*q. Let p(j) be the first derivative of 1\/9*j**3 + 1\/3*j**q - 9 + 0*j. Solve p(o) = 0 for o.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289*c + 11 + 121*c + 167*c.\nAnswer: -c + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3729 - 4288 = -43*u for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -212 - (2 + -3 - -5). Let l = 507 + a. List the prime factors of l.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1044a15a - 2?\nAnswer: 1044a158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 + 119 = 4*t. Suppose -5*p + 3*p = -t. Suppose 126 = 5*l + 2*u, -5*l = -6*l - 5*u + 16. Calculate the greatest common factor of l and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-6)\/q*q\/(q*q**(-11\/8)\/q)*q assuming q is positive.\nAnswer: q**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7637323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/112*4 + 58556\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10185\/25 + (-3)\/(-5). Let t be k\/(-20) - 3\/5. What is the units digit of (-4)\/2 - (t + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2977 is divided by 937.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of 479*d**6\/15 + 841*d**4\/12 + 5*d - 225. Find the third derivative of r(t) wrt t.\nAnswer: 22992*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 - 313 + 104)*(-5*d + 8 - 8).\nAnswer: 795*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 174 - 169. Suppose t - h - 20 = -3*h, x*t - 3*h - 48 = 0. Solve 3*s = -w + 12, 0*w + 3*s = 4*w + t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 0.5.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -487*v**3\/3 - 8*v**2 - 5*v + 15. Let c be t(-13). Round c to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 395*u - 393*u = 223780, 0 = -2*m - 4*u + 223786. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -9. Suppose 15 = -l*k, -k - 15 = 4*s - 2*k. Let w be (6\/(-5))\/((-6)\/40). Let h(g) = g - 5. Let j(n) = 2*n - 8. Calculate s*j(x) + w*h(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 6:30 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14272, 57271, 128996, 229447, 358624?\n\"Answer: 14363*p**2 - 90*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -14*u. Let j(p) = -269*p**2 + 175. Determine s(j(a)).\nAnswer: 3766*a**2 - 2450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -103505 and 696.\nAnswer: -102809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3384, -2961, -1792, 501, 4296, 9971, 17904, 28473?\n\"Answer: 63*z**3 - 5*z**2 - 3*z - 3439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 333 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -9405839000 to the nearest one million.\nAnswer: -9406000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.32779 centuries in years?\nAnswer: 4532.779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3061*h**3*w - 384*h*w**3 + 253*w**3 - 66095*w**2 - 8*w wrt h.\nAnswer: 9183*h**2*w - 384*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -843.523 + 844. Round w to two dps.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -930*d + 35 = -937*d. Which is the third biggest value? (a) d (b) -0.056 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 11*l**2 - 30*l - 661. Let o be t(-23). Calculate the greatest common divisor of 136 and o.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/11 in 228, 3, -0.4, 3\/2, -93?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)\/s**(-4))**1*(s*(s*s**4)\/s)\/(s*s**(2\/15)*s)*((s**(-5)*s)\/s)\/(s*s\/s**4*s*s) assuming s is positive.\nAnswer: s**(13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39647834.\nAnswer: 2, 19823917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -580589 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -3. Which is the third biggest value? (a) 3 (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 20 = -20*p. Let z be -7 + (-25)\/(-5) - p*1. Is z\/9 + (-17182)\/(-198) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 405.4 in -1\/12, -3\/2, -0.2, 2, -2\/31?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.043 + -0.043. What is the second smallest value in -4, j, -5, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 3:37 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 145823117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100021112210 - -10?\nAnswer: -1100021112200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 23 = -13, -2*s = 3*c - 2 - 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -4. Suppose 7*k - 6*k - t = 0. Let o be 10\/((-5)\/(k\/(-2))). Solve o*f - 21 = 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 458395.\nAnswer: 5, 7, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1914 - 21876 = -9*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*i - 32*i - 4162 - 5501 - 69*i.\nAnswer: -161*i - 9663","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (187 - 32 + 43)*(2*y - 2*y + y + (-2 - 1 + 1)*(y - 3*y + y) + 2 - 2 + 2*y + 5 + 11*y - 5).\nAnswer: 3168*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**6\/360 - 13*x**5\/120 + 10*x**3 + 55. Let c(i) be the third derivative of w(i). Solve c(z) = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -v**5\/20 - v**4\/2 - v**3\/2 - 9*v**2 - 6*v + 3. Let d be u(-6). Solve 4*m - o + 24 = d, m - o = -4*o + 7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -81481*j**2 - 4*j - 3. Let i = 47 + -48. Let a be 4\/((-8)\/(-9))*(i - -3). Let z be h(a). What is z rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u + 54 = 12*u - 23 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 2*c**3\/3 + 7*c**2\/2 + 5*c. Suppose 0 = 3*q - 20 + 2. Let h be r(q). Solve 3*m + 10 = 5*s - 15, 3*s - 5*m = h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17534.90959 - 17533.413590879. Let l = v + -1.496. What is l rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4188 is divided by 321.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 208339*r**3 + 5*r**2 - 4477825*r?\nAnswer: 1250034*r + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-7))\/((-5)\/(-10)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51.2 < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/9)\/m)**(-46)\/((m**1\/m)\/m*(m\/m**(-2\/13)*m*m)\/m)*(m*(m*m**(-2\/7))\/m*m\/(m\/(m\/m**(3\/16))))**(2\/33) assuming m is positive.\nAnswer: m**(3975557\/72072)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000229167 to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 4. Let v be t(5). What is the first derivative of 3*c - v + 0 + 0*c wrt c?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*a - 5 = 0, -2*u + a + 6 + 5 = 0. What is the closest to 1 in u, -0.6, -5?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32*27\/(-126))\/((-15)\/((-210)\/4))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.29 (b) -1 (c) 3\/7 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**4\/8 - 13*z**3\/6 + 10*z**2. List the prime factors of i(-9).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6127948?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllelrlrlerrrrere. What is prob of picking 1 r and 3 e?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**3 + 22*i**2 - 84*i + 10. Give c(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 510974.2 rounded to the nearest ten thousand?\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3014278213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 120517465 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 52 = -12. Suppose 5*g + 0*g - b = -2*j, -g + 4*j = -6. Find the second derivative of m - g*m**2 + m**2 + 0*m wrt m.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 6*q - 2. Let v = 11 + -5. Let c(z) = -2 + v - z**3 + 0 - 5*z**2 - 2*z. Let x be c(-4). Determine m(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51531 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12202101101 (base 3) in base 5?\nAnswer: -12111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -378, -1, 2, -154, 3, -4 in ascending order.\nAnswer: -378, -154, -4, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -10596 at most -264911\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 191738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-14*(-73)\/111909)\/((-4)\/6)\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2134 + 252. List the prime factors of f.\nAnswer: 2, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3417*j**2 + 44*j**3 - 3417*j**2 - 2*j to l*j + o*j**2 + q*j**3 + k and give q.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - n**2 - n - 1. Let v(c) be the first derivative of c**4 + 5*c**3\/3 + 3*c**2 + 5*c - 3. Calculate -v(i) - 5*z(i).\nAnswer: i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 15, -2\/9, -2\/5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 4*d - d)*(4*d - 2*d + 2*d + 5*d + d - 3*d + (5*d - 3*d - 3*d)*(-2 - 1 + 1) + 0*d + 3*d - 4*d).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 11, 14, 17, 20?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -430*r**2 + 2*r - 1. Let x be m(-2). Let w = -46131\/22682 - 12\/1031. What is the common denominator of w and (x\/36)\/5 + 1?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/(-169) - 4\/26. Suppose -39 = x + 5*m - 152, 0 = -4*m + 20. Suppose d = 3*k - 3*b - 75, 0 = 5*k - b - 17 - x. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -364 + 243. Let d be (-6340)\/(-22) - (-22)\/w. Suppose 5*a + d = 2*h, -4*a = 5*h + a - 720. Is 20 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*f - 9 = f, 0 = 3*i - 3*f + 18. Let o = i + 4. Let a be 90\/(-30) - (0 + 77\/(-25)). Which is bigger: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(672)*1 - sqrt(672) - sqrt(672))\/sqrt(12))\/(sqrt(128)*-1) + 2 - (-4 + (-1*sqrt(77)*-3)\/(sqrt(176)*1 - sqrt(11))).\nAnswer: -3*sqrt(7)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -228068 + 228068 + 486*i**4 + (i - i + 2*i**3)*(-3*i + 7*i - 3*i) - i**4 + 4*i**3 - 4*i**3 to the form j*i**3 + o*i**2 + t*i + d*i**4 + r and give d.\nAnswer: 487","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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 x(l) = -34*l**2 + 239*l - 15. Determine x(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2. Let d(v) = -64071*v. Determine d(m(g)).\nAnswer: -128142*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-6))\/((-2)\/(12\/(-42))).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99\/(-4))\/((-63)\/120 + 111\/(-185))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 10:55 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 11:02 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 10:07 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 5702921?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)\/s)**(8\/5)*s**6*s**(6\/11)*s assuming s is positive.\nAnswer: s**(151\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 0.0008 in decreasing order.\nAnswer: 4, 2, 0.0008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2. Let j(h) = -4142*h**2. Give j(p(i)).\nAnswer: -16568*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*s = 0, 4*r + 701*s - 702*s = 6. Factor 44\/5*p - 14*p**r + 5*p**3 - 8\/5.\nAnswer: (p - 2)*(5*p - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9706)\/(-8) + 2)\/((-122)\/(-488)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/27798 and 53\/83394?\nAnswer: 83394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.753 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/12600)\/((-7)\/(-126)).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -7*i**2 + 7*i + 4. Let v(o) be the second derivative of -o**4 + 2*o**3 + 7*o**2\/2 - 73*o. Let j(n) = 4*v(n) - 7*x(n). Factor j(b).\nAnswer: b*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**4 - 2*z**4 - z**4 + (0*z**4 - 2*z**4 + 0*z**4)*(-3 + 0 + 2) + (-2*z - z + 4*z)*(3436*z**3 - 6859*z**3 + 3303*z**3).\nAnswer: -121*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 264*v**2 + 1 + v + 259*v**2. Give k(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4400)*-3 - sqrt(4400))\/(3*sqrt(16)).\nAnswer: -20*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27\/2*l**5 - 135*l**4 + 194*l**2 + 9 + 99*l**3 + 151\/2*l.\nAnswer: (l - 9)*(l - 2)*(3*l + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -109, -107?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 123*i**3 + 4*i**2 + 2*i - 1. Let o be s(-3). Let m = o - -36238\/11. Let v = -22389\/482 - 12\/241. Calculate the common denominator of m and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from vfmfmmvv.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 0*o**4 + 0*o**3 - 57 + 7\/2*o**2 + o - 13\/5*o**6 + 0*o**5. Find the first derivative of l(m) wrt m.\nAnswer: -312*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42379179 by -21179.\nAnswer: -2001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123888 is divided by 12822.\nAnswer: 8490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-13 + 21) - (17 - 0)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (10\/4)\/((-114)\/228)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -36a4d0?\nAnswer: -36a4cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 84*v + 425. Let b be w(-5). Solve 3*y - 8*y = -d - 1, 0 = -3*y + 5*d + b for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*-2 + sqrt(136))*-2 + sqrt(136) - 5*(4*sqrt(136) + sqrt(136)))\/(5*(sqrt(56)*2)\/sqrt(7)*5).\nAnswer: -11*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1011 - 201111103?\nAnswer: -201110032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/1176*-14)\/((135\/(-6))\/(-9))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 21, 34, 49, 66, 85, 106?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*c - 2*z, 4*c = z - 16 - 5. Let b be (4\/c)\/(6\/(-243)). Solve -3*y + 2*x + b = -2*x, -4*y = 3*x - 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 907267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/3593 and 40\/16833?\nAnswer: 60480969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 26 - 25, 0 = i + 5*f for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -16, -23, -30?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z**2 + 7*z + 4. Let u(l) = l**2 - 2*l - 1. What is -14*u(b) - 4*x(b)?\nAnswer: 2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 12*b**2 - 29*b + 38. Let z be q(12). Let l = -199 - z. What are the prime factors of l?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4 - 40*q**3 - 52*q**2 + 216*q - 126 = 0 for q.\nAnswer: -3, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134202.\nAnswer: 2, 3, 22367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9}. Give prob of sequence bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21280 and 912?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -4131460689.1628.\nAnswer: -4131460686.1628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2428 + 77729\/32. Calculate the common denominator of ((-298)\/(-30))\/(6\/5) and c.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -36, 2, -2, -562 in decreasing order.\nAnswer: 2, 1, -2, -36, -562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4375737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/((-100620)\/(-120)) + 236\/12470)\/(4\/10)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - 1\/(2\/(-2)). Let l = x + 7. Let q(i) = 4*i**3 - 2*i**2 + i - 2. Is q(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -295846, -593019, -890192?\n\"Answer: -297173*v + 1327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -7822 + 7852 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/9 - (8\/18)\/(-2). Find l, given that x*l**2 - 47*l**3 - l**2 - 2 + 52*l**3 - 5*l + 3*l**4 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*c - 13 - 5, c + 6 = -d. Let o = 0.1 - -3.9. Put c, o, 0.3 in decreasing order.\nAnswer: o, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66882 or -66883?\nAnswer: -66882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152410 (base 7) to base 11.\nAnswer: 20351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 200, 188, 168, 140, 104, 60, 8?\n\"Answer: -4*j**2 + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2, 41, 106, 187, 278?\n\"Answer: -w**3 + 17*w**2 - w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 14*g + 3. Let z(r) = -5*r - 14. Let q be z(-3). Let x be v(q). Differentiate -16 + 7*m**3 + 17*m**2 - m**3 - x*m**2 with respect to m.\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 382*i**2 - 256*i. Let q(d) = -378*d**2 + 257*d. Let v(j) = 2*q(j) + 3*x(j). What is the second derivative of v(u) wrt u?\nAnswer: 780","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 16*j**2 + 59*j + 136. Let u be p(-12). Solve 5*y + 37 = -u*t, 4*y + 29 - 12 = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9006276607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57 by -5.\nAnswer: 57\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -19*y**3 - 7*y**2 + y. Let l(v) = 10*v**3 + 4*v**2 - v. What is 7*l(x) + 4*s(x)?\nAnswer: -6*x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 318 + -235.9. Let v = -82.399 + b. What is v rounded to two decimal places?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 9. Let d = 14 + h. Let v = 26 - 16. Solve -d*c - v = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - q = -0*q + 31, 3*q - 3 = u. What is the lowest common multiple of u and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11753 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 580910 and 103840?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -42, -60, -78?\n\"Answer: -18*d - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 15 + 1. Suppose -d + r = 2*r - 19, -5*d - j*r = -99. List the prime factors of d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(0 - (-5 + 3)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 5172?\nAnswer: 2\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express s**3 + 0*s**2 + 0*s**2 + s**3 - 4*s**3 + s**3 + 3*s**3 - 4*s**3 + 0*s**3 + (0 - 1 + 3)*(8*s**2 - 8*s**2 - s**3) as v + n*s**2 + x*s + i*s**3 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * -2.8.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136413.\nAnswer: 3, 23, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8a - 2c35?\nAnswer: -2cc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2165708839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1278)\/189 - 7\/((-21)\/9) and (-9)\/(-5) + 4\/2?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -43. Suppose 6*d = -4*v + d + 37, -2*d - 58 = -4*v. What is the remainder when z is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/2124 and -119\/1584.\nAnswer: 93456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 6. Let t be v(5). Let i be 14\/8 + t\/(-4). Suppose -4 = -i*z - 2*l + 8, -4*l + 14 = 2*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15372384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*l**4\/5 - 12652*l**3\/5 - 49386*l**2\/5 - 48088*l\/5 + 1336\/5 = 0. What is l?\nAnswer: -167, -2, 1\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 6:57 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 100968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 122513981?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 + 5*j + 2. Let i(t) = -2*t**2 - 3*t - 1. Let h be (-2)\/7 - 46\/(-14). Let u(k) = h*x(k) + 5*i(k). What is u(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*g + 11*g - 33 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*d - 10, 3*h = 3*d - 92 + 83. Let i = 11 - 6. Let l be 1 + 0 + 3\/(-3). Solve l = -2*r - d*s + 1, i*s - 11 = -4*r + 4*s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 27 and 0.315?\nAnswer: 26.685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92664 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -51\/65? (a) -5 (b) 5 (c) 1\/4 (d) 1\/18 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.3376 + -2.337531478. What is l rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + r - 3*r)*(244*r + 1531 - 1531) + (-5*r - r + 5*r)*(8*r + 2 - 3 - 9*r).\nAnswer: -487*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3139385251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 13*z - 18. Let j be l(9). Suppose -9*t + j = -9. Solve 5*a = 4*o + t*a, 5*a = 4*o + 12 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + c**2 + c - 1. Let s be t(1). Suppose 3*h + 20 = -s*h. Suppose 3*p = -15, -2*o + 5*p + 41 = 2*o. Sort h, -5, o in increasing order.\nAnswer: -5, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28 is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19676 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 28526952 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2260101.14 rounded to the nearest one thousand?\nAnswer: -2260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -878118 and 242.\nAnswer: -212504556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 833*u**3\/2 - 616798*u**2 - 1057827*u\/2 - 113355 = 0. Calculate u.\nAnswer: -3\/7, 25190\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 13*a**2 + 13*a + 16. Let n be w(14). Suppose 2 = 2*b - 0*u + n*u, 2*b + u = -1. Let c be (-3)\/6 + (-7)\/b. Solve -3 = 3*d + c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-5) + 666\/90. Solve 0 = -3*c + t*c - 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**5\/h*h*h*h\/(h**(-4\/7)\/h) assuming h is positive.\nAnswer: h**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -130, -128, -126?\n\"Answer: 2*g - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41135 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 q when three letters picked without replacement from qetqqoqqq?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.8 - 3.2. Let u = -4 - m. Let o be (4\/(-6))\/(8\/(-18)). What is the second smallest value in -3, u, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 10) to base 11\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 58*t**3 + 11*t**2 - 6*t - 6. Let r(a) = 115*a**3 + 24*a**2 - 13*a - 13. Give -13*k(b) + 6*r(b).\nAnswer: -64*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34083 - 0?\nAnswer: 34083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 126838700 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 2. Let b = 5 - a. Suppose 8*x**5 - 4*x + 4*x**5 - 12*x**2 - 32*x**4 + 40*x**3 + b - 6*x**4 = 0. Calculate x.\nAnswer: -1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7.82, 1\/7, 1\/2?\nAnswer: -7.82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*g**4 + 18*g**4 + 31*g**4)*(29*g - 1239 + 1239 + (-3*g - 2*g + 3*g)*(-1 + 2 + 1) + 2*g + 0 + 0 + (6 - 3 - 1)*(-1 + 1 + g)).\nAnswer: 1740*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 78814989 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. Let g = -127\/3 + 43. Let i = -4.02 - -0.02. Which is the nearest to g? (a) f (b) i (c) -6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -85099, -85102, -85105?\n\"Answer: -3*y - 85096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207690*r**2 - 178034*r\/3 + 4\/3 = 0 for r.\nAnswer: 1\/44505, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 136, 106, 6, -188, -500?\nAnswer: -954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7730901 - -0.153.\nAnswer: -7730900.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1431*f**3 + 84*f**2 + 985830*f wrt f.\nAnswer: 8586*f + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*u - 560, 4*u + 3*k + 0*k + 553 = 0. Is -140 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3611833 nanoseconds in milliseconds?\nAnswer: 0.0000003611833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/16)*y*y)\/y**(-1\/28)*(y*y**(-2\/3)*y)\/y**(-2\/41) assuming y is positive.\nAnswer: y**(59999\/13776)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 5:10 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -84*b - b - 15*b + 6*b - 5*b - 2*b - b + b - b + (-4 + 6 - 1)*(-b - 2*b + 2*b) + 0*b - 3*b + 7*b.\nAnswer: -99*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from yyuyyyyyyyyy.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 0)\/((-1)\/3). Suppose s*j = -236 + 65. Let v = -22 - j. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 0.4, 3, -2\/3 in decreasing order.\nAnswer: 3, 0.4, -1\/9, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**4\/12 + 7*v**3\/6 - 25*v**2\/2 + 18*v. What is the remainder when 22 is divided by k(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 490, 10 in descending order.\nAnswer: 490, 10, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3\/24 + ((-21669)\/(-24) - 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 198 - 195. What is the third smallest value in 11, 2, m, 0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j - 3. Let m be v(6). Let g be m\/9 - 4\/6. Let r be 2 + (-1)\/2*0. Put 3, r, g in increasing order.\nAnswer: g, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llll when four letters picked without replacement from bllblbll?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -1001220, 3 in decreasing order.\nAnswer: 3, -3\/2, -1001220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -300 (base 5) in base 15?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a**(-2\/9)*a)\/a))**(2\/7)*(a**(-1\/2))**(-43) assuming a is positive.\nAnswer: a**(2717\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/((-45)\/6)*6. Suppose h*v - 27 = v. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-385)\/25 - (-29008)\/3920?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**6\/320 - 3*k**5\/32 - 37*k**4\/64 + 51*k**3\/16 + 3759*k**2. Factor i(p).\nAnswer: 3*(p - 17)*(p - 1)*(p + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 126 - 122. Suppose -w + 5 = 3*v - 5*v, 0 = -4*v + 8. Suppose -4*j - w = 7. Sort p, j, -0.05 in decreasing order.\nAnswer: p, -0.05, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 129*y**4 - 16*y**3*z**2 + 3*z**2 + 451*z wrt y?\nAnswer: 516*y**3 - 48*y**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5856 + 5857 - 11713 - 7*l**2.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from {d: 2, c: 1, h: 1, a: 2, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m**2 - 9*m. Let t(o) = o**2 + 4*o - 2*o + 0*o + 0*o. What is 18*t(l) + 4*w(l)?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 10*d - 15. Let o be (6*1\/10)\/((-4)\/(-140)). List the prime factors of j(o).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-270)\/(-65) + 2\/(-13). Solve 0 = -b*i - 11 - 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 4*q - 4. Let a be m(-3). Let b be -3 + -1 + (-1 - a). Let p(t) = 2*t**2 + 6*t + 4. List the prime factors of p(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.495 + 0.095. Let z = x - -28. Let j = z - 3.6. What is the nearest to 0.02 in j, -3, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -18. Suppose -x*d + 5 = -1. Solve 0 = n + d, 4*n + 3 = 4*s + 11 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(40) + sqrt(120)\/sqrt(3)*6)*2)\/(sqrt(72)\/(sqrt(9) + (sqrt(144) + sqrt(144) + 2*sqrt(144) - sqrt(144)))))**2.\nAnswer: 165620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -17 + (-6 - 11 - -2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) -0.07 (b) -5 (c) -1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -171, -167, -159, -147?\n\"Answer: 2*o**2 - 2*o - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 87*b**2 - 10*b - 2. Let r(v) = -7*v**2 + v + 1. Calculate -r(o) - x(o).\nAnswer: -80*o**2 + 9*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5062 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: Let l(q) = q - 5. Let v be l(7). What is the derivative of -5 - 5*o**2 + 4*o**2 - 3*o**2 + 2*o**v wrt o?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17934 by 2562.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6000445 to the power of 1\/3, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -31*h - 4. Let d be (600\/(-1155))\/(-10)*11*7\/(-2). What is n(d)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -59*r**3 + 12*r**2. Let m(x) = -29*x**3 + 6*x**2. Let b(z) = 3*g(z) - 7*m(z). What is the third derivative of b(h) wrt h?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 529 times 4?\nAnswer: 2116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000678868 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 774 + 407?\nAnswer: 1181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f**10\/f)*f**(-2\/19) assuming f is positive.\nAnswer: f**(-173\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-6) - (-8)\/(-12). Let p be (16\/(-5) - (-264)\/22)\/((-2)\/5). Put b, p, -1 in increasing order.\nAnswer: p, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 816 - (2 + 13)\/5. Let f = -418 + k. Calculate the remainder when f is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + 1343342?\nAnswer: 1343420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 6\/(-20) - (-5618)\/1060.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*w + 997139 + 630526 = 0. Round w to the nearest 100.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 14271*k**2 - 156869*k + 101. Calculate l(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (52\/91)\/(40\/28). Which is the nearest to 5? (a) -0.2 (b) m (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 + 7*v**2 + v + 1. Let n be w(-6). Suppose 4*d - n = 9461. Suppose -z - 3065 = d. What is z rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 4*b**2 + 3*b - 2. Let y be c(4). Let g(f) = 3*f**2 - 9*f + y*f - 2*f**2 + 1. Let p(t) = -2*t**3 + 2*t**2 + 3*t + 4. Calculate 3*g(n) - p(n).\nAnswer: 2*n**3 + n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.0487 times -466.1\nAnswer: -22.69907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.53 + -0.19. Let j = -0.33999948 + y. Round j to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.7734 rounded to 0 decimal places?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10425.\nAnswer: 3, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 1320*z + 16. Let p be s(-11). Suppose -2*g + 5*j = 8107 + 9481, 4*j = -4*g - 35232. Let i = p - g. What is i rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11070*l**5 + 6*l**4 + 209356*l**2.\nAnswer: 664200*l**2 + 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25273 + 4170. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*n**3 - 127*n**3 - 125*n**3 - 141*n**3 + 371*n**3.\nAnswer: 32*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-174 - -164) + -2 + (-66 - -4) - 4?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-145)*42\/420.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 9*p - 13. Let h be q(10). Let u(k) be the second derivative of -k**4\/12 - k**3\/2 - 3*k**2\/2 - 2*k + 4. Give u(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 792943.9 litres to millilitres.\nAnswer: 792943900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 5, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**5\/3 - 673*n**4\/6 - 3651*n**3\/2 - 3213*n**2 = 0.\nAnswer: -63, -153\/8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v + 6. Let j be a(-4). Let n(k) = -2*k**2 - 11*k. Let o(q) = -q**2 - 6*q. Calculate j*n(t) + 11*o(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 11*o**3 + 30 + 7*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 1:56 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 806001?\nAnswer: 3, 7, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + m + 4*m + 5 - 5 + m + (1 - 1 + 2)*(-2*m - m + m) - 5 - 2*m + 5)*(-3*m - m + 3*m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 396712269 to the power of 1\/4, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23248, 93495, 210730, 374953, 586164?\n\"Answer: 23494*k**2 - 235*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o + 332. Let s be x(-84). What is the third smallest value in s, -1\/6, 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8484 + 10053. Calculate the remainder when m is divided by 48.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 95. Suppose 142 = 2*i - z. Let f = -16 + i. What are the prime factors of f?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d - 5. Calculate u(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 128*y - 529\/6*y**5 - 7295\/6*y**3 + 6 + 3611\/6*y**4 + 3409\/6*y**2 = 0.\nAnswer: -2\/23, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 30890 or 30889?\nAnswer: 30890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 390 divide 3441750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -93312\/11 + 7776\/11*u - 216\/11*u**2 + 2\/11*u**3.\nAnswer: 2*(u - 36)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -176, -347, -514, -677?\n\"Answer: 2*q**2 - 177*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*h + 28*h + 17*h + 147 - 58*h to m*h + v and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a - 41. Let b be (3*(-273)\/63)\/(-1). Let t(k) = -2*k - 21. Calculate b*t(z) - 6*q(z).\nAnswer: -2*z - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14 + 12)\/(20\/(-1)). Let g(f) be the second derivative of 0 + 0*f**6 + 0*f**4 - 1\/42*f**7 + s*f**5 - 1\/6*f**3 + f + 0*f**2. Factor g(v).\nAnswer: -v*(v - 1)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k - k - 5*k - k**2. Let c(w) = -54*w**2 - 45*w. Suppose 0 = -474*t + 470*t + 180. Give t*u(m) - c(m).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 936 + -897. What is the highest common factor of 1131 and v?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2748*t**3 - 9618*t**2 + 3206*t - 3206. Let h(a) = a**3 + 3*a**2 - a + 1. What is 16030*h(y) + 5*p(y)?\nAnswer: 2290*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.771 + 0.771. Let i = 0.6 + -2.62. Let k = 2 + i. Put f, 4, k in descending order.\nAnswer: 4, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496886254 a multiple of 8534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -41 + 66. Let z(b) = -2*b**2 + 5*b - 3. Let o be z(3). Let s = -5 - o. What is the smallest common multiple of s and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -4. Calculate the common denominator of -29\/8 and -1 + 23\/16 - n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 3:20 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 > -430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2814\/(-35))\/((-9)\/150) - -7?\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(3 - 7 - 4)*(-2*g - g + g)*(-493 - 195*g**3 + 493).\nAnswer: 3120*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 313054 divided by 14\nAnswer: 22361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 125\/2 (b) 0.48 (c) 0.2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 275*g - 554.\nAnswer: (g - 2)*(g + 277)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128793308 and 8.\nAnswer: 257586616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -988447 or -988449?\nAnswer: -988449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88927 is divided by 6681.\nAnswer: 2074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*b**3*q*x**2 + 10938*b**3*q + 2*b*q*x**2 - 12*b*x**2 - 2*b + 42*q*x - x**2 - 6*x wrt b.\nAnswer: 168*b*q*x**2 + 65628*b*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/5)\/s)\/s)**(-36)*(s**(1\/4))**37 assuming s is positive.\nAnswer: s**(1337\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*u - 4*c - 0*c, -24 = -u - 4*c. Let o be ((0 - -1) + -2)*-3. Solve -o*b = 4*z - 20, 2*b + b - 2*z = u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 365*t**3 + 5*t**2 + 2*t - 5. Suppose -4*p + 3*h + 20 = -2*p, -4*h - 64 = -5*p. Let f be 4 - (p\/7 + 6\/(-21)). Is i(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 4*n**2 + 6. What is g(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 41 = 184. Solve 0*x = -3*x - h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.013 and -0.00709?\nAnswer: -0.00009217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1274.4535 and -0.219.\nAnswer: -1274.6725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 267 = 2*c, -c + 7*b - 2*b = -121. Find the common denominator of (2 + (-54)\/12)*c\/80 and 47\/186.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 642*l + 633*l + 1929 - 1907 - 1270*l.\nAnswer: 5*l + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a meter in millimeters?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.715088 rounded to 3 dps?\nAnswer: 0.715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/595 and -74\/495.\nAnswer: 58905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/10)\/(10\/20 + 1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 110 + -109.99939. Round y to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 53*o. Let g be q(-4). Let r = -98 - g. Suppose -5*l + 136 = -r. What is l rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/8 + 367*v**3\/8 - 46*v**2.\nAnswer: v**2*(v - 1)*(v + 368)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118819105 is divided by 2247.\nAnswer: 2239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**5\/60 + d**4\/4 - 5*d**3\/6 + 9*d**2. Calculate the least common multiple of 8 and z(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(48)\/sqrt(144))\/(sqrt(24)\/(-2*sqrt(6)))*2 + -5.\nAnswer: -4*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-154)\/440*4\/(-28)*-2. Let u = -1 - -1. Which is the closest to -2\/9? (a) d (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 185\/175 - ((-2)\/8 + (-2262)\/(-1560)). Let j = 0.4 + -0.4. Which is the second biggest value? (a) 1\/7 (b) j (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -c + 24. Let l be (c + 0)\/(-1)*1. Let n = 11 - l. Does 14 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14956 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*t - 12 = 0, -2*t = 5*j - t - 76. Suppose 0*n - 40 = -4*n - 4*b, 2*n + b - j = 0. Let c = 9678 + -9673. Solve -c*p - n = -20 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-579411)\/(-147) + 8\/(-14). What is the third derivative of -27*v + 3941*v**5 - 12*v**6 + v**2 - a*v**5 wrt v?\nAnswer: -1440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*s + 86*s - 328*s + 55*s + 85*s.\nAnswer: -23*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75546174*n**5 + 9042960*n**2 - 2*n - 1.\nAnswer: -4532770440*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 1210*l - 2414*l + 1211*l + 6. What is p(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*v + v. Solve v*l = l + 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/(-10)*2*140 is divided by (-6)\/4*418\/(-33)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 20. Let u(b) = 5*b**2 - 5*b - 4. Let q be u(r). What is the third derivative of 11*m**q + m**6 - 25*m**6 - 18*m**2 wrt m?\nAnswer: -1560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.1 - -0.1. Let p = t + 1. Which is the biggest value? (a) p (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 1:44 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -71, -244, -583, -1142, -1975?\nAnswer: -3136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 382503 and 1903?\nAnswer: 382503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 12*o**2 - 10*o + 29. Let z be (8 - -31)\/(-3 - 0). Calculate g(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -16*d**3 - 11*d**2 + 11*d + 20. Let o be a(-4). Calculate the greatest common divisor of o and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f - 13. Let r(u) be the second derivative of u**3\/6 + 2*u**2 - 205*u. Let d(h) = 7*r(h) + 2*w(h). Determine d(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -15*b**2. Let c(k) = k**2 + 2*k + 51. Let p be c(0). Let q(n) = n + p - 51. Calculate q(a(f)).\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + l + 16, 5*n = -3*l - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-10) - 20790\/50. Is -417 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2734 + 2732. Let h(c) = -15*c - 10. Let o(g) = -5*g - 3. Determine d*h(q) + 7*o(q).\nAnswer: -5*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2116 - -3016. What is m rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52775 = -37*k + 19105. Let h = k + 4561\/5. Factor -1\/5*g**3 + 6\/5 - h*g + 6\/5*g**2.\nAnswer: -(g - 3)*(g - 2)*(g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 + 81*n. Let k(m) = -2*m. What is r(k(f))?\nAnswer: -8*f**2 - 162*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1881 + 2678. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*o - q = 24*o + 12, 4*o - q - 7 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -o - c, 4*o = -3*c - 35. Let y = -184 + 210. Suppose 25*d - 1 = y*d. Put -2, o, d in descending order.\nAnswer: d, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (765 - 754 - 562)*(0*h**2 + 0*h**2 + 3*h**3) to w*h**2 + q*h**3 + a*h + g and give q.\nAnswer: -1653","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 128*o**2 - 401*o + 1049. Determine g(131).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9631 by -6.\nAnswer: 9631\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*i = -1328 - 1690, -2*i = -3*w + 2262. Calculate the highest common factor of w and 1218.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 12 - 44. Solve k = 15*x - 13*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 257\/6 + -43. Let x = 33.6 + -29. Let w = x - 0.6. Which is the smallest value? (a) d (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 758674143 to the power of 1\/2, to the nearest integer?\nAnswer: 27544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2450964 milligrams to tonnes.\nAnswer: 0.0000000002450964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124439521, 124439518, 124439515?\nAnswer: 124439512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*p - 1443 - 957 = 67*p + 59*p for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*z - 1250, 2*u - 3*z = 3*u - 1254. Suppose u = -a + 13*a. Calculate the remainder when a is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*v + 9 + 33*v - 72 to g + k*v and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 48584.2301 to the nearest 1000.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -8*n**2 + 1\/30*n**5 + 0*n**4 + 0*n + 0*n**3 + 0. Let p(r) = -2*r. What is t(p(i))?\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -504, -1008, -1512, -2016?\nAnswer: -2520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*w**2 - 32442404*w + 32442404*w.\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**3 - 4*b**2 - 2*b + 10. Suppose 0 = -33*w + 34*w - 2. Suppose 0 = 2*l + 2*l - 332. What is the remainder when l is divided by a(w)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 + w**3 + 2*w**3 + (3 - 3 - 4*w)*(8 + 12*w**2 - 8).\nAnswer: -45*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 355\/16 in 0, -445\/8, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 469, 902, 1335?\n\"Answer: 433*q + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2300 - -3256. Let u = n + -6738\/7. What is the common denominator of u and -139\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**5 + 3*t**3 - 3*t**3 + (-2*t**4 + t**2 + 2 - t**2)*(-1773*t - 49 + 49).\nAnswer: 3550*t**5 - 3546*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000031761 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 31757372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**2 - 7*r - 1. Let w be z(-5). Let x = -24 - w. Let v(q) = q**2 - 2*q - 4. Is v(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -4*k**2 + 11*k - 4. Let f(g) = -3*g**2 + 7*g - 3. Let z(m) = -7*f(m) + 5*j(m). Let x be z(-7). Let h(u) = u**3 - 4*u**2 - 12*u + 3. Is h(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.3, -2\/39, -26\/7, 3 in ascending order.\nAnswer: -26\/7, -2\/39, 0.3, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r**3 + 4 + 3*r**3 + 2*r**3 + r**2 - 8 - r. Let n(m) = -15*m + 60. Let j be n(4). What is a(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79390*o**3 + 551*o**2 + o - 3?\nAnswer: 476340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1000001110 (base 2) to base 11\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*sqrt(153)\/((sqrt(495)\/sqrt(11))\/sqrt(5)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6002*p + 5998*p - 7654*p - 4347*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.11 > -2\/16631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 9:48 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z - 2. Let a be y(3). Let b(r) = r**3 + r**2 - r + 11. Let f be b(0). Let s = a + f. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -530 + 2652\/5. Factor 2\/5*k**4 + 0 - p*k + 2\/5*k**3 - 2\/5*k**2.\nAnswer: 2*k*(k - 1)*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25470782 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 0)*(-2 + 5 - 4)*(-6*j**4 + j**4 + 0*j**4)*(j + 6*j - 2*j).\nAnswer: -175*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is da24a63 - 5?\nAnswer: da24a5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/1327 or 0?\nAnswer: -21\/1327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 19*g**2 - 9*g + 4. Let p(a) = 13*a**2 - 6*a + 3. Suppose -x + 21 = -2*k, -72*k + 74*k + 4*x = 14. Determine k*p(q) + 5*w(q).\nAnswer: 4*q**2 - 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2929 - 6295\/2. Which is smaller: -219 or h?\nAnswer: -219","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1440))\/(sqrt(242)*-2 + sqrt(242) - sqrt(2)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -11?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**2 + 199*o + 25. List the prime factors of f(36).\nAnswer: 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**3 - 50*u**2 + 1195*u - 247. Calculate z(-40).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3 + 18*a**2 + 48*a + 40 = 0. What is a?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/1220 and 93\/488.\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 109 - 94 = 0. Let g = -2 + 6. Are z and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*m**2 - 6 - 2*m**4 - 2*m**3 - 2*m - 6*m**2 + 1 - 12 + 3 to f*m**4 + n*m + h + x*m**3 + o*m**2 and give h.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/(m*m*m\/(m**(-2\/13)\/m)*m*m)*m*m**(-3\/8)*m**(2\/7)\/m**13 assuming m is positive.\nAnswer: m**(-11825\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103841539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 7 - 6 - 584*n**3 + 583*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p - 6. Let y be i(-4). Suppose 3*a - 7 = y. Let o = -6 - -1. Put -4, o, a in increasing order.\nAnswer: o, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 10*d**2 + 11*d + 10. List the prime factors of p(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b**2 - 9*b - 5. Is u(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**2 + 189*n**3 - 4 - 5*n + 5*n**2 - 191*n**3 + 3*n - n**4 to x*n**3 + g*n**4 + l + s*n + q*n**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 - 295458 + 14*o**2 + 98483 + 98491 + 98484.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -4*x**2 - 7. Let p(c) = 5*c + 43. What is p(r(f))?\nAnswer: -20*f**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uub when three letters picked without replacement from mbbpuppbpub.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (6138\/110)\/31*((-40)\/6)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 4\/5*w - 1\/10*w**4 + 1\/5*w**2 - 4\/15*w**3 - 9. Factor r(s).\nAnswer: -2*(s - 1)*(s + 1)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1135034100 (base 6) to base 5.\nAnswer: -11241211223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48386.\nAnswer: 2, 13, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15349258049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 79 = -231. Is v a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -12*w + 14*w. Let c = -34 - w. What is the remainder when c is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-231*w + 111*w + 14 + 115*w)*(-1 + 1 - 1)*(0*w**2 + 0*w**2 - w**3) + (2 + 3 - 7)*(0*w**4 - w**4 + 4*w**4).\nAnswer: -11*w**4 + 14*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j**(2\/3))\/j*j*j)*j**(-4\/3))**(-1\/6)\/(j**5\/(j*j\/(j*j**(-4)\/j*j*j))*j**(6\/7)*j*j**(2\/7)) assuming j is positive.\nAnswer: j**(-37\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21355, 21791, 22239, 22705, 23195?\nAnswer: 23715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -225*k**3 - 15*k**2 + 15*k. Let d(v) = -32*v**3 - 2*v**2 + 2*v. Suppose 0 = -84*a + 87*a + 6. Calculate a*b(q) + 15*d(q).\nAnswer: -30*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**7\/1260 - n**5\/60 - n**4\/12 - 67*n**3\/6 - 102*n**2. Let z(t) be the second derivative of q(t). Factor z(f).\nAnswer: 2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -131215 < -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79 or 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a decade in months?\nAnswer: 888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 3*d - 28 = 2*b, -d + 12 = -4*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - 1366400?\nAnswer: -1366359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-129)\/6)\/((-845)\/(-170) - 5). Let v = 1212 - g. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 29436737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17628 = -148*t + 96*t. What is the remainder when t is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**8\/168 + r**5\/60 + r**2\/2 + 3. Let s(n) be the second derivative of a(n). What is the third derivative of s(q) wrt q?\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 3\/4, 0.1, -19431 in descending order.\nAnswer: 3\/4, 0.1, -1, -2, -19431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(1 + 0 + -1). Suppose -2*q - 2*q + 84 = j. Let v = -15 - -76. What is the remainder when v is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1105326 is divided by 61404.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 68*n + 51. Let b(s) = -s - 1. Let d(o) = -51*b(o) - v(o). Let j(u) = u - 6. Let f(q) = -q + 8. Let t(g) = 3*f(g) + 4*j(g). Determine d(t(l)).\nAnswer: -17*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59\/24 - 13\/24. Let p(b) = 12*b**3 - 7*b**2 - 7*b + 11. Let v be p(-8). Let i = -78443\/12 - v. Find the common denominator of h and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -147 - -149. Let k(m) = 279*m. Let n be k(3). Suppose -s*x + 1393 = -n. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -3*v**4\/4 - 38*v + 21. Differentiate i(o) with respect to o.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -74*s**3 - 63*s**2 - 20. Let h(u) = -27*u**3 - 22*u**2 - 7. Let r(g) = 11*h(g) - 4*x(g). Let j(o) = -o**3 + o**2 + 1. Determine 3*j(n) - r(n).\nAnswer: -2*n**3 - 7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.068 plus 93?\nAnswer: 89.932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7242 = 3*c - 3081. Suppose 3*f + 4*z + c = 6*f, 4*f + 3*z - 4613 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1787632?\nAnswer: 2, 7, 11, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/2 - 246609*m\/2 - 123304 = 0. What is m?\nAnswer: -246608, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 5 + 8 + 5 + 44*y - 76 to the form f*y + r and give f.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*o + 89539 = 26*o + 232535. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001602 to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 266474 - 453766 = 0. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -2*g - 27 + 35, 0 = -3*g + 4*p + 22 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 1369*k. Let p(a) = -4*a**2 + 3*a - 3. Let s(m) = m**2 - m + 1. Let r(c) = p(c) + 3*s(c). What is r(h(z))?\nAnswer: -1874161*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -508 and -500 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696 is divided by 174.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 326730 by 2.\nAnswer: 163365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -45*x**3 - 6*x**2 + 8. Let y(c) = 4*c**3 - c**2 - 1. Determine -2*f(o) - 18*y(o).\nAnswer: 18*o**3 + 30*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 19 = 3*s, -o = s + o - 1. Suppose y - 5*n - 10 = s, -3*n = -2*y + 51. Suppose 8*v = 3*v + y. What is the remainder when 17 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(19\/(-3) + 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15633 is divided by 584?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from {n: 2, g: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/5*(-60)\/24. Factor 0*b + 2 + 2*b**2 + 8*b**3 - 10*b + 2*b**5 - 8*b**4 + 2 + g*b**2.\nAnswer: 2*(b - 2)*(b - 1)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24143126971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/2, -1.3, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(171))\/sqrt(9) - sqrt(19)) + sqrt(19) - sqrt(304)*-4.\nAnswer: 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1173862 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 2*h**2 + 7*h - 1. Let l be ((-2)\/(0 + -2))\/1. Let g be l\/3 - 16\/3. Is z(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 + -5.95. Let h = 4.88 + 0.12. Let y = h + o. Sort y, 0.5, -5.\nAnswer: -5, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b (base 13) in base 2?\nAnswer: -1011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**(-1\/53)*((j**(-2)*j)\/j)**29 assuming j is positive.\nAnswer: j**(-3075\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1881404, 1881371, 1881338?\n\"Answer: -33*h + 1881437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-30))\/((-171)\/(-54) - 3).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 5 (c) -306876\/37 (d) 0.5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**5*z*z**2*z)\/(z\/(((z\/z**(-10))\/z)\/z)*z*z**9))**(7\/6) assuming z is positive.\nAnswer: z**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 - 32. List the prime factors of (g - 7\/9) + 892\/36.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17.7 at least as big as -290075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1056 + 1052. Sort 1\/5, -12, j in descending order.\nAnswer: 1\/5, j, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 99, 4, -2, -4 in increasing order.\nAnswer: -4, -2, -1, 4, 5, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r + 4*y = -16, 5*y - 50 = 5*r. Let a = 25 + r. What is the greatest common factor of a and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r. Suppose -2*q - 3*p + 2 = -p, 0 = -q - 3*p + 3. Let o be f(q). Let n be o\/10*(-2)\/6. Solve 0 = -n*v - 5*v + 10 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111001 + -11?\nAnswer: 110220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 26\/13*54\/4. Let n(d) = -d**2 - 17. Let v be n(0). Let g = t + v. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1089 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 127\/12*k**4 + 0 + 0*k**3 - k - 22*k**2. What is the first derivative of b(w) wrt w?\nAnswer: 254*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -11. Let v be (-2 - 3)*2\/(-5). Let y = s + v. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6957415 - 1138.\nAnswer: -6958553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235a (base 14) to base 5.\nAnswer: 144111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -381, 1481, 3343, 5205, 7067, 8929?\nAnswer: 10791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -22*v + 152. Let j be o(6). Solve 2*i = r + 9, -j - 1 = 5*r + 2*i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(((l**(6\/11)*l)\/l)\/l)*l*l*l\/(l\/l**(-7))*l*(l**2\/l)**(9\/4))**(-3\/26))**(-9\/2) assuming l is positive.\nAnswer: l**(-27\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-205)\/(-20) - 1\/4. Let h be (-57)\/858*f*1. Let s = -11\/13 - h. What is the nearest to 1\/3 in -4, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c**2 - 17*c + 8. What is s(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fll when three letters picked without replacement from fxllloqfxololqooxl.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31054.\nAnswer: 2, 15527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44153907?\nAnswer: 3, 7, 2102567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 410 divide 2249336993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 + 80. Solve w = 5*b - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 + -42. What is the greatest common factor of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/14 - 161\/(-2). Let a be 3\/(-5) + s\/(-15). Is 2 a factor of 2*-3*3\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3194275 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, p: 7}. Give prob of picking 2 p and 1 d.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*z - 59*z = -y - 16, -3*y + 2 = -2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 20 = 2*f. Suppose 50 = u + 4*u. Suppose -4*s - f*z = -94, u = 3*z - 8*z. Calculate the remainder when s is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mol when three letters picked without replacement from {u: 1, y: 1, o: 1, l: 2, m: 1, j: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5731704\/167 or 34323?\nAnswer: 5731704\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 9*d - 25. Let r be v(3). Let c be 0\/r + ((-1227835)\/107)\/5. Let p = c - -2295. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -26*t**3\/3 + 7*t**2\/2 - 2*t. Suppose -4*u - 5*a - 36 = 0, 8 = -u + 2*a + 12. What is the units digit of i(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 14*c**2 + 6. Let k be a(14). Suppose -k*f + 5*f + 3 = 0. Solve -4*y + 3*y = -2*s, -3*y + 6 = -f*s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*i**2 - 18*i**2 + 28*i**2 + (-2 + 2*i + 2)*(0*i - 2*i - i) + (3 + 0 - 2)*(6*i**2 + 4*i**2 - 5*i**2) in the form w*i + k*i**2 + v and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-5*3\/(-30))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 139\/5, 128, -10 in ascending order.\nAnswer: -10, 139\/5, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.5 (b) 2 (c) 2\/11 (d) 4 (e) 0.2 (f) 4\/5 (g) -383\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20907 and 2106961.\nAnswer: 2323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 141.10272 - 0.01272. Let u = z - 0.09. Let i = 141.00000085 - u. Round i to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -154*(-11)\/792*(-5)\/(-56) and -71\/32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 10*d - 6. Let c be m(-10). Let n = c - -9. Suppose -n*i - 228 = -9*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 54 + 10. Let j(z) = -z**3 - 15*z**2 + 15*z + 13. Suppose 3*h = -h + 60. Calculate the remainder when j(v) is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1848530992?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101 + 97 - 3*f - 5.\nAnswer: -3*f - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30030 and 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12\/6497 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 7*v = -10. Suppose -v*j + 6 = -4*j. Let w(u) = 5*u - 1 + 0*u**2 - 4*u - u**2 + 2*u**3. What is w(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -272, -1089, -2458, -4385, -6876, -9937?\nAnswer: -13574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44041\/5? (a) -17 (b) -0.3 (c) -53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 8*l - 9*l + 3 = 0, -3 = f - l. Suppose 4*h - 5781 = 3*d, f = 3*h - 7*d + 4*d - 4338. List the prime factors of h.\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.356958 to three dps.\nAnswer: 0.357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from psssldops?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1976744 take away -51?\nAnswer: -1976693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 292055, 584121, 876187, 1168253, 1460319, 1752385?\nAnswer: 2044451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-120)\/(-35))\/4)\/((-11)\/((-14322)\/31))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 12\/5 (b) 0.4 (c) -273\/16 (d) 5 (e) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 13 = l, l = m + 1066 - 1059 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*f**2 - 43 + 43 as s*f**2 + t + m*f and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35510341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**3 + 40 - 38 - 2*g**2 - 59 + g - 3*g**3 + 3*g**3 + 4*g**3 + (2*g + 2 - 2)*(5*g**2 - 2*g**2 - g**2).\nAnswer: 9*g**3 - 2*g**2 + g - 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(252)\/sqrt(9) - sqrt(7)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3)*-4 + 0. Let c = -874\/3 + 296. What is g in c*g**4 - o*g + 2*g**3 + 2*g**5 - 2*g**2 + 0 = 0?\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10268 is divided by 2565?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 + 0*o**3 + 3*o**3 + (0 - 2*o**2 + 0)*(4*o - o - o) - 4*o**3 + o**3 + 2*o**3 as x + w*o**3 + j*o**2 + d*o and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -214.90595561 - 90.09404306. Let z = y - -305. Round z to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172164 divided by -2.\nAnswer: -86082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -z + 3, -z + 4 = 1. Suppose 3*b = -i*b + 30. 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: Let o(p) = 3*p**2 - 18*p - 14. Suppose a = -2*a + 3. Suppose m + 2*z = 14, 2*z - a = -4*m + 37. Does 4 divide o(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-34)\/38 - (-1 + 0). Let s be 164\/(-16)*(5 + -2 - -1). Let o = s - -41. Which is the nearest to o? (a) l (b) 5 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 15 + 3 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 4*w + 3. Let u be o(3). Let b = u - 4. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/18*(-661)\/(4964771\/(-1554)).\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16698 and 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 288552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0 = 4*l - 2, 3*n - 6 = 0. Let a(j) = 6*j - 2*j + 2*j**2 - 5 + 4 + j**l - 2*j**3. Give a(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d - 2*d - 3*d)*(-9 + 30 + 2)*(-d - 2*d + 5*d) to p*d**2 + q + l*d and give p.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-7)*(-157836)\/(-60128)*(-2)\/5\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 8 = -v, -6*v + 3 = m - 3*v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/34, 9, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((3*sqrt(30))\/sqrt(6) - (-3*sqrt(720) + sqrt(5))) + -1*(sqrt(20)\/sqrt(4) + -1)**2 + (3 + sqrt(10)\/sqrt(2)*-5)**2.\nAnswer: -218*sqrt(5) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(392) - (sqrt(392)*-1 + sqrt(392)) - sqrt(392)) - sqrt(392))\/sqrt(8))\/(sqrt(14)\/(sqrt(8)*-4)).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -24\/5*t**2 + 8\/15*t + 0 + 54\/5*t**3 = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 8*m + 1. Let w(g) = 3*g**2 - 23*g + 3. Let v(d) = -4*w(d) + 11*y(d). Give v(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 9*m + 11. Let s = -2 + -3. Let x be 24*(s\/3 - -2). Let r be b(x). Solve 4*z - 10 = -r*h + 11, -z = -h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -699 by 233.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (4\/(-6))\/(2\/(-129)) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 29*o**2 + 4. Let g(h) = 231*h**2 + 33. What is -4*g(n) + 33*t(n)?\nAnswer: 33*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 - 40*i + 96.\nAnswer: 4*(i - 6)*(i - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 - 18. What is the least common multiple of 18 and l?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxxdddxxddxx. What is prob of sequence xxxx?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2 - 6*o + 9. Let i(y) = 4*y**2 - 7*y + 8. Calculate -5*i(v) + 6*n(v).\nAnswer: -2*v**2 - v + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c**3 - 4*c**2 + 11*c - 1. Does 13 divide g(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3866185?\nAnswer: 5, 23, 33619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -11*j**2. Let o(u) = 3*u**3 + 3*u**2 - 4*u + 2. Let b be o(1). Let p(w) = 4*w - w + 2*w - b*w. Calculate p(v(d)).\nAnswer: -11*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 1 = 31. Which is greater: g or 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -224282, -447949, -671616, -895283, -1118950?\nAnswer: -1342617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2013 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 23.80487km?\nAnswer: 23804870000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -7 + (9 - 46) + 17?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s + 15 = 0. Suppose 2*c - h + 3 = 0, s*c - h = -6*h + 15. Find the second derivative of 5*y + c*y - y + 0*y - y**3 wrt y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/15 (b) -12100\/9 (c) 0 (d) -3\/7 (e) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 13 - 2*r**2 - 766*r + 792*r + 40 + r**2. Give k(30).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 13, o: 6}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243?\nAnswer: 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3077*k - 92. Let s(l) = -l - 19. Give -o(u) + 5*s(u).\nAnswer: -3082*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138, -155, -172, -189, -206, -223?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 11*f**2 + 230*f - 29. Determine n(-21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 4 - 3 = j, -4*o + j + 17 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 2 + -2 + (-9 - -17) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-12)*2262\/52. Which is bigger: -37 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1531 times 3\nAnswer: -0.4593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 37 + 20 + (20 - 11) + -42.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 1:48 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-2) + (-8 - -12). Let s = -1 + i. Calculate the remainder when 23 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 2297132154.\nAnswer: 2297132154.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1277 is divided by 160.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.4. Let v = -0.19 - t. Let f = v - 0.31. Which is the smallest value? (a) -0.1 (b) f (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 11 = -x - 2*d, -x + 12 = 4*d. Solve 0 = c + x*c + 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 54*x**2 - 122*x - 154. Does 78 divide k(47)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f + 61*f**3 - 59*f**3 + 3*f.\nAnswer: 2*f**3 + 18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4913808 plus -0.047?\nAnswer: 4913807.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n. Let s = 0 + 0. Suppose 3*h = 2*b + 1 - 0, -4*b - 4*h + 28 = s. Let d(k) = 2*k + 1 - b + 3. What is l(d(p))?\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -61*h + 4. Let c(g) = 62*g - 5. Give 2*c(b) + 3*t(b).\nAnswer: -59*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k + 2*k**2 + 8*k)*(k - 3*k + 4*k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + 45)\/(1\/1435). Let j = r + 277555. Round j to the nearest 10000.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*o + 21*o - 2 + 16*o + 590*o**2 - 4*o - 587*o**2.\nAnswer: 3*o**2 + 82*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kioiktkk. What is prob of sequence toio?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*r - 238*r - 895 = 381 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 + -4.06. Let n = -36 + z. Let x = n + 40.21. What is x rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(98)*1 + 5 + -1)*3 - (-2*sqrt(98) + 4 - 5*(sqrt(98) - (sqrt(98) + -3*sqrt(98)) - sqrt(98)))))**2*-5.\nAnswer: -110855 - 11550*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -16, -24, -32, -40, -48?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((48\/(-7))\/3 - (-2680)\/(-3752)) + -72.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20828.89457 - 20829. What is k rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -3793515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 13156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(0 + 1 - 3)*(-f**3 - 2*f**3 - 2*f**3) + (5*f + 0*f - 3*f)*(4 - 4 + 2*f**2).\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1399619?\nAnswer: 13, 23, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((y + 0*y - 3*y)*(4*y - y - 4*y) + y**2 + 4*y - 4*y - 5*y**2 + 4*y**2 + 0*y**2)*(2 - 2 + y**3 + (-3 + 2 + 3)*(2*y**3 + y**2 - y**2)).\nAnswer: 10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.518275km in nanometers?\nAnswer: 518275000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x + 14 = 0. Suppose -8*a + x*a = -33. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -4*h**5 - 6361560*h**4 - 19084632*h**3 + 19084688*h**2 + 69977052*h + 38169288 = 0.\nAnswer: -1590387, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4b63e2 + -3?\nAnswer: -4b63e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(3\/5)*j**(1\/4)*j*j*j*j**4*j**1*j**(2\/5)\/(((j\/(j**1*j))\/j)\/j)*((j**4*j)\/j)\/(j\/(j*j\/((((j\/(j\/((j*j**3)\/j)))\/j)\/j)\/j))) assuming j is positive.\nAnswer: j**(69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 9*f + 6. What is the smallest common multiple of 14 and o(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3\/21 - 2*y\/7 + 4\/21 = 0. What is y?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2155488375?\nAnswer: 3, 5, 61, 94229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + -22 + 1 + 30?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, l: 1, u: 4, j: 2, s: 1, z: 4}. Give prob of picking 1 z, 1 l, and 1 s.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3114*a + 264 - 15834 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-2 - 16\/(-10)))*178\/(-534)*150\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -64 from -11593236.\nAnswer: -11593172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x + 70. List the prime factors of z(0).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.3, -0.04, -2, 1\/5 in increasing order.\nAnswer: -2, -0.04, 1\/5, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1740113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 + 54.7. Let w = 53.5 - d. Let x = -11.57 + 11.7. Which is the nearest to -2? (a) 4\/5 (b) x (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a second in milliseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 7*i**2 - 10*i - 12. Suppose -18 = 2*a - s - 0*s, 5*s - 10 = 0. Let p be w(a). Solve 2*z = -2 - p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 2:32 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3317428697.\nAnswer: 11, 29, 61, 170483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -55*p - 6076. What is t(-121)?\nAnswer: 579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*f + f + 2*f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16613185 and -26213.\nAnswer: -16639398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (60\/(-26))\/((-45)\/(-10)). Let x = z - -2\/3. Which is the closest to 1? (a) 4 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 + -46. Suppose a = -3*x - 2*u - 16, -4*u = 5*x + 35 - 7. Let l(j) = 13*j**2 - 11*j. Let g(y) = -6*y**2 + 5*y. Calculate x*l(n) - 9*g(n).\nAnswer: 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37537607*f**2 - 2745121*f + 8.\nAnswer: 75075214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*z - 56 = 0. Calculate the lowest common multiple of 34 and z.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(64\/20) + (-7080)\/(-640) - 10?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 7*t**2 + 23*t + 74. Let a = 14 - 9. Calculate the remainder when a is divided by x(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(4\/(-22) + (-1763)\/(-9757)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3952642 is divided by 729?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 10 = 0, -4*p + 9*p = -4*z - 50. Which is bigger: z or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 + 22*j + 3. Let i be t(11). Solve -2*l - 14 = i*y - 6*l, 0 = -y - l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0558 and -10.214?\nAnswer: 10.1582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1614098.9 rounded to the nearest one thousand?\nAnswer: -1614000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -0.08, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 130 + -386\/3. Let g(h) = h - 1. Let a be g(3). Let -2\/3*z - 2\/3*z**a + n = 0. What is z?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57895?\nAnswer: 5, 11579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 118*c + 1059. Give f(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a meter in centimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3905 (base 13) to base 15.\nAnswer: 2612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 6*o**2 + 7*o - 5. Let u be h(-7). Suppose -2*r - 12 + 18 = 0. Let w be -3 + r + (-1)\/u. What is the smallest value in -2\/23, w, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - -3 - -4*1. Let n(i) = -i**2 - i + 4. Let b be n(-3). Sort -3, b, v in decreasing order.\nAnswer: v, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, x: 1, n: 1, v: 4}. What is prob of sequence uxuv?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 75745 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 1. Let k(b) = 6. Let t(y) = -k(y) + 3*o(y). Suppose -8*l + 5*l = -9. Give t(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2899547 to the nearest integer?\nAnswer: 1703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 5*i + 2. Let d(p) = p + 11. Let u be d(-7). What is the units digit of x(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l**2 - 2*l + 2*l)*(-1 + 3 + 0)*(18 + 14*l - 18) to g + c*l**3 + d*l**2 + u*l and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -13*z. Let i(h) = 5*h. Let n(y) = 11*i(y) + 4*x(y). Let d(g) = -5485*g**2. Give n(d(m)).\nAnswer: -16455*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128159231.\nAnswer: 37, 61, 56783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2147663 to the power of 1\/2, to the nearest integer?\nAnswer: 1465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2628864210 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1272841 is divided by 127275.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 439126827 to the nearest integer?\nAnswer: 20955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4153950*i. Let d(s) = 6*s. Determine d(m(h)).\nAnswer: -24923700*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m - 7. Let v be o(2). Let q(p) = 21*p**2 - p - 1. Let h be q(v). Suppose -14*b + h*b = 130. Calculate the remainder when 75 is divided by b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1154838 by -6.\nAnswer: 192473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7*q + 15. Give k(-7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201102101 + -112001?\nAnswer: -201221102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 123 - -34. Let t = p - 154. Sort -4, t, -2, -7 in ascending order.\nAnswer: -7, -4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 562 = -5*z - 2*v, 2*z - 5*v = 6*z + 436. Let o = z + 399. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001749 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -201 + 66 + 64 + 1550*u**2 + 71 to the form p + i*u**2 + k*u and give i.\nAnswer: 1550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3802.9243 minus 5471?\nAnswer: -1668.0757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*l = 32 + 8, 5*l = -20. Suppose o*j - 8*j = -2. What are the prime factors of (-1)\/(j*(-3)\/(-366)*-1)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.1, 0.6, -29.5, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + a, g + 4*a - a - 14 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 0, -3, -1200?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73134 = 8*s + 5*s - 91199. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 332 - 95*i**4 - 58*i**4 - 123*i**4 + 109 with respect to i.\nAnswer: -1104*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2796, 11089, 24870, 44139, 68896, 99141, 134874?\nAnswer: 176095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -169 + 162. Let l(d) = -d**3 - 6*d**2 - 7*d - 5. Is 15 a factor of l(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 42 + 126. Let s = a + 17. Let h be (2 + -7)\/(s\/10). Solve -4*u + h*v = -8, -u - 2*v + 5*v = -2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -6*r + 4*r. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2256)\/987 - 215\/(-140).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*(-4)\/60)\/((-1386)\/(-1540)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 3*d + 1. Let u(a) = 2*a**3 - a**2 - 7*a. Let v(q) = 5*o(q) + 3*u(q). Suppose 0 = c + c - 8. Determine v(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13473, 26956, 40439, 53922, 67405, 80888?\nAnswer: 94371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 10:26 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -15*o**3 + o**2 + o + 1. Is i(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 20838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.036 - 52.036. Let g = n + 51.14. Let f = g - -0.16. What is f rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 0)\/(-4 + 2). Let p(o) = -o**2 + 43. Let f be p(q). Let 73*i - i**2 - 35*i - f*i = 0. What is i?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hwq. Give prob of sequence wh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -193*f**2 + 3862*f - 40 = 0.\nAnswer: 2\/193, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7 - 14 - 40 + 93*l. Let g(m) = -19*m**2 - 230*m - 18. Let p be g(-12). Is h(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 221040 and 672.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89738 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/726 and 55\/12?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6310*l**2 + 31564*l - 69. Calculate n(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-67*q**3 - 51*q**3 + 28*q**3)*(2 - 2 + 1)*(-2 + 3 - 3) + 0*q + 0*q - 2*q**3 as h + l*q + y*q**3 + z*q**2 and give y.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/28*-14)\/(1\/1)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -4 (c) 1 (d) -5.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32286773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13462 + 242225\/18. Calculate the common denominator of j and 149\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/194854 and -115\/171666.\nAnswer: 89437986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -404*m**6 - 225*m**2 - 2?\nAnswer: -48480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/9)*f**4*f\/(f**(2\/9)\/f)*f**(-8)*((f**(-2\/5))**(-14))**(-15) assuming f is positive.\nAnswer: f**(-259\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10394977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41*l + 16*l + 23 - 41 wrt l.\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*p - 357 = -51*p. Let f(m) = 3*m**3 + m**2 - m + 1. Let o be f(1). Let t be (-224)\/8*(-5)\/o. Calculate the highest common factor of p and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/9 bigger than 113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1863997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 88*b + 87.\nAnswer: (b - 87)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 690 + -689.7. Put l, -2\/21, 0.075 in decreasing order.\nAnswer: l, 0.075, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -6, -4*b = -3*i - 6*b + 66. Calculate the highest common divisor of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.4, -3\/4, -2.7, 0.5.\nAnswer: -6, -2.7, -3\/4, -0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 157, 1422, 4865, 11578, 22653, 39182?\n\"Answer: 182*h**3 - 3*h**2 - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 4107*d - 4115*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -23?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/415248400 and -34\/11122725?\nAnswer: 1245745200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + y - 1. Let v(s) = -7*s**2 + s + 15. Let d(r) = -m(r) + v(r). Find the first derivative of d(h) wrt h.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 419851 or 419848?\nAnswer: 419848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*s + 54*s + 8557 + 12947 = 0. Does 224 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-h + 11*h - 2*h) + (5 - 2 - 1)*(1 - 4 + 1)*(-2 + 3 + 1)*(h - h - 3*h).\nAnswer: 32*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -51*h - 9 + 101*h - 49*h + 14 + 14. What is the smallest common multiple of 36 and d(21)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7078 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40*s + 5*s**2 - 2 - s + 6 - 2 wrt s.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 0, -0.8, -8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -1, 5, -1\/354, -0.2 in decreasing order.\nAnswer: 5, -1\/354, -0.2, -1, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -7*p + 114. Determine d(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -1\/2 (c) 2\/11 (d) 220\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((27\/(-6))\/(-3)). Suppose -4*l + 7 = -25. What is the remainder when (0 + -69)*k\/6 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.00745 + -0.14087. Round x to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*1 + (1 + 8 - -7). Suppose -2*b - 9 = -3*h, -3*b + 0*h = h - g. Solve -6 = -t - b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 722*d + 39747. What is g(-55)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -27*z**3 + 36*z**2 - 252*z - 36. Let r(w) = -4*w**3 + 5*w**2 - 36*w - 5. Let f(l) = -5*c(l) + 36*r(l). Find the second derivative of f(g) wrt g.\nAnswer: -54*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (571*g - 325*g + 155*g)*(2 - 3 - 1)*(-4*g**3 + g**3 + g**3) in the form a*g**3 + h + x*g**4 + d*g + t*g**2 and give x.\nAnswer: 1604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllhlvid. What is prob of picking 1 i and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 6*c - 5. Suppose 9*z = 25*z + 112. Determine j(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) 0.6 (c) 4 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2073, -3470, -5799, -9060, -13253?\nAnswer: -18378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -185547 and -1.\nAnswer: 185547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 904212510 to the power of 1\/2, to the nearest integer?\nAnswer: 30070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/236 and -55\/7024.\nAnswer: 414416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 52*v**2 + 98*v - 101. Let g be p(-50). What is the tens digit of g\/(-5) + 528256\/320?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(243)*1*-1 - (sqrt(243) + -1 + -3))*2.\nAnswer: -108*sqrt(3) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (294\/6615*(-20)\/122)\/(2\/6). Which is bigger: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -329\/33 + 106\/11. Which is the third smallest value? (a) 1 (b) 0 (c) -4 (d) -2\/255 (e) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.125 and -167597126279.\nAnswer: -167597126279.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -199 divided by -36\nAnswer: 199\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/5*(37 + -12). Suppose -5*g - 5 + w = 0. Solve -r = -g*a + 5, 3*r + a + 5 = 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 598665?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**4 - 78*u**3 + 291*u**2 wrt u.\nAnswer: -24*u - 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -660*x**3\/7 + 11884*x**2\/7 + 26328*x\/7 - 160\/7 = 0.\nAnswer: -2, 1\/165, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - 74. Let z be (-1 - x) + 0\/(-5). Suppose -n - 3 + z = 0. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6327.086 litres in millilitres?\nAnswer: 6327086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49014?\nAnswer: 2, 3, 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/35 and 59\/3185?\nAnswer: 3185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/2, -15\/4, -4, -7\/4, -0.1.\nAnswer: -5, -4, -15\/4, -7\/4, -0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 + 2*d. Let m be f(-2). Let q(l) = 5 + 5 + m*l - 6 - 3 - l**2. What is the units digit of q(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 6*y**3 - 33*y**2 - 12*y + 85. Let d(t) = -6*t**2 - 2*t - 1. Calculate 6*d(l) - f(l).\nAnswer: -6*l**3 - 3*l**2 - 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + f + 2*f + 30, 12 = 3*f. Suppose 5*p - 123 + u = y, 0 = -4*y + 12. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -11, -19, -47, -101, -187, -311?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1795306528?\nAnswer: 2, 307, 182747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6\/5*l**2 - 4\/5*l + 1\/5*l**4 - 8\/5 + l**3 = 0. Calculate l.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -0.016880527.\nAnswer: -0.016880527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -240*c**3 + 226*c**2 - 16*c**4 + 17*c**4 + c**4 wrt c.\nAnswer: 48*c - 1440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from ggrggggrrggggrggggr.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 63\/162*6 + 1\/(-3). Solve -k*y + 12 = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(((-15)\/5)\/(-300)). Let m be ((-120)\/t)\/(1\/(-10)*3). Let n be ((-12)\/(-8))\/(2\/m). Solve -6 = 5*a + 6*d - n*d, 3*a = 5*d - 24 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 10. Suppose -3*n - n + 5*o = -77, 2*o + 36 = c*n. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3179113297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**5 + 3*v**4 + 13104*v**3 - 2*v**2 + 18818*v?\nAnswer: 120*v**2 + 72*v + 78624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(105\/(-1)))\/((35\/126)\/5)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of -k**5\/100 + 111*k**4\/20 - 12321*k**3\/10 + 113*k**2. Solve i(y) = 0 for y.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -2. Do v and 7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -3*p + 14, 5*p = -3*g - 754 + 369 + 360 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 123*c - 122*c - 590. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/52 and 41\/572?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 2, 6, 10, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/(-12))\/((-3)\/104). Is -50 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.13 + 2.129949. What is c rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1161)\/72 + (-7)\/(-56)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 12*f**4 - 1613274*f**3 - 16133109*f**2\/4 + 9276507*f\/4 - 604989\/2 = 0?\nAnswer: -3, 1\/4, 134442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -90459 and -1309?\nAnswer: 118410831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 12, 3*x + 5*m + 400 = 7*x. Suppose x = 4*s - 5*s - 2*z, -s = -5*z + 60. Let a = s - -87. Solve -6 = -v + 3*l, -5 = -4*v - a*l + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12 and -678?\nAnswer: 81.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 7. Let t be i(5). Suppose -2*c + 8 = -2*o, 11 = o + 14*c - 10*c. Let n be (-2)\/4*40*o. Solve -5*u + 2*r = n + t, 2*r = 4*u + 18 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20904 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + (-8 - 862)*2\/(-4). Suppose -73*h + 68*h + v = 0. Does 20 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in months?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 288, 1123, 2830, 5691, 9988?\nAnswer: 16003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/110 + 34\/(-90).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 186\/5 in 4\/5, -0.4, -503, 1\/2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5412.3 * -2\nAnswer: 10824.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/2 and 12\/16*18 - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-3 - -3 - 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/(-22)*10\/(-285)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/252 and -59\/2844.\nAnswer: 19908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeke when four letters picked without replacement from kkekkeekkeekekkekee?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -455682 * -0.61\nAnswer: 277966.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8461251 and 313.\nAnswer: -8460938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 19*h - 39. Suppose v - 3*a + 4*a - 28 = 0, v - a = 14. Determine x(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 1:13 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -o - o + 2*z, z + 323 = 5*o. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1571079, 1571040, 1571001, 1570962, 1570923, 1570884?\n\"Answer: -39*g + 1571118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*c - 5*c. Suppose -2*l - 4*k = -4*l + 10, 4*l - c*k = 16. Solve -w - 4*r + 5 = -2, 3*r - 3 = -l*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11522322 (base 6) to base 16.\nAnswer: -59fea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*j + 4*f - 7*f - 52, 2*f + 30 = 3*j + 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 5, -4*c = 8*y - 9*y - 1247. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.56009 centuries to months.\nAnswer: 85872.108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240879 = -8464*n + 121466 - 40713 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 2*h + 4. Let f be j(3). Let l be (-4)\/(f + 0 - 2). Suppose -z - 4*x + 8 + 7 = 0, 43 = l*z - x. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d = 365 + 275. What is the smallest common multiple of d and 72?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7137 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 108326 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342342028.\nAnswer: 2, 7, 23, 75941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/3800*10*38\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9\/77, -3\/4, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l - 1. Let y be q(1). Let o be y\/6 - (-1)\/3. Let k be -1500 - 0\/(o*-3). Round k to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08963103956 to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1326794, -2653642, -3980488, -5307332?\nAnswer: -6634174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660*u = 1228*u - 646*u - 17 - 139 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/((-12)\/(-907437)) - ((-12)\/2 + 12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -62673389*g**3 + 46741181?\nAnswer: -188020167*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48461 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhhhhllh. What is prob of picking 1 l and 2 h?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 10:11 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 290820370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9d - 12?\nAnswer: 8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbbiziibnbizzi. What is prob of picking 1 g and 3 z?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-101*(-1)\/(-4))\/(63\/14) + 1 and -49\/1044?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwzzwzrww. Give prob of picking 2 w.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 7*o = 48. Let i(r) = r**2 - 8*r + 19. Let y be i(4). What is the remainder when 123 is divided by (24\/12)\/(y\/o)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2461\/7 + 351. Let h = 1.94 + 0.06. What is the biggest value in h, -0.1, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (630 + 0)*((-40)\/25)\/(-2). Calculate the greatest common factor of 63 and g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4\/2 - 12*t**3 + 33*t**2\/2 + 48*t - 90 = 0. Calculate t.\nAnswer: -2, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2010, -8072, -18166, -32292, -50450, -72640?\nAnswer: -98862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/9)\/j*j)\/(j\/((j*j**4*j)\/j)))\/(j**(-2)*j**1))\/((j\/(j**6\/j))\/j*j*j**(-1\/10))**(-1\/17) assuming j is positive.\nAnswer: j**(6941\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*i = -32*i - 52. Suppose 16 = i*r, -3*r + 4 = 2*j - 6*r. Put -2, 5, j in descending order.\nAnswer: j, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 12 = -0. Suppose 0 = -2*c + 5*t + 9 + 10, x*t = -4*c - 32. Let n be (-5 - -380)*(-72800)\/c. Round n to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, d: 2, t: 13}. What is prob of picking 2 v and 2 d?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 6, 25, 52, 87, 130, 181?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*n + 35, 0*n + 21 = 2*k + 3*n. Suppose 9 = k*l - 117. Suppose -f + 2*t + t + l = 0, -2*f + 2*t + 64 = 0. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.22 + -0.12. Let g = 0.08 - 0.38. What is the nearest to w in g, -6, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*(sqrt(2057) + -2 + -2).\nAnswer: -20 + 44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/3 + 3*c**3 - 7*c**2\/3 - 15*c - 28\/3.\nAnswer: -(c - 7)*(c - 4)*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, l: 7, q: 2, e: 1, p: 1}. What is prob of picking 1 e and 2 l?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 1:24 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*x - 227 = 0. Let h = -89 - x. List the prime factors of h.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 153*t**3 + t - 57 + 165 - t + 68 wrt t.\nAnswer: 459*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(88) + sqrt(88)*2 + sqrt(88))*1)\/(sqrt(16)\/(-3*sqrt(200))).\nAnswer: -720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 7:45 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + 3475?\nAnswer: 3465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -12. Let b(s) = -y + s**3 + 3 - s**3 + 5*s**2 - s**3. List the prime factors of b(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10213 (base 4) to base 11\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 232543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 160 + 20. Let p = -182\/3 - u. Let f = -0.03 - 2.97. What is the closest to p in f, -2\/5, -0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4 = y, 0 = 3*y - 0*h - 4*h + 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - k + 2 = 0, -2*f + 5*k + 0*k + 2 = 0. What are the prime factors of 82\/f*(2 - 4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (69*j**3 - 51*j**3 - 59*j**3)*(2 - 2 + j + j + j - 5*j + (2 + 1 - 4)*(4 - 4 + j)) to the form h*j**3 + s*j + t*j**2 + w*j**4 + m and give w.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1*2\/(-4))\/(3\/(-24)). Let k be 2 - (-12)\/9*(-6)\/g. Suppose k*i - 3*s - 226 = 0, -i - 3*s + 269 = 4*i. List the prime factors of i.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 713\/124 - (0 - -10)\/2\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 - 21 - 15 - m**4 - 2*m + 2*m - m**4 + (0 + m**4 + 0)*(2 - 4 + 0).\nAnswer: -4*m**4 - 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3812055539.\nAnswer: 29, 131450191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 218*f + 5 - 5.\nAnswer: 218*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 311*q + 8*q**2 + 1 + 0 + 2 - 615*q + 309*q as n + r*q**2 + f*q and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -141*d. Let v(a) = 4*a. Determine v(l(h)).\nAnswer: -564*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + 3. Let o be 4\/(-18) - (-7798)\/d. Let k = o + 124. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 79*b - 112. Let u be q(-5). Which is smaller: u or -1015\/2?\nAnswer: -1015\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/1073918 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 442083?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/616 and -157\/924?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 = -181*m + 59*m + 79*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -195, -767, -1717, -3045, -4751, -6835, -9297?\nAnswer: -12137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1890626764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -12. Let h be 4 + (-4)\/(m + 1). Sort h, 0.03, -0.3 in ascending order.\nAnswer: -0.3, 0.03, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 2*q**2 - 2*q - 1. Let n be k(0). Let v be (-4)\/n + 0\/(-1 - 1). Solve -17 = v*r - 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - -45. Let a = z - 56.99999805. What is a rounded to 7 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 40 = -6*u. Suppose 2*y = 6*y - u. Suppose -5*k + 82 = y*n, -7*n + 2*n + k = -178. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 2. Let m(k) = 2*k + 2*k**2 + 0 - k**2 - 2. Let c be 3\/2*8\/4. Determine c*d(r) - 2*m(r).\nAnswer: -2*r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 103\/11?\nAnswer: 103\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*36\/90*28380\/264?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7085252, 14170516, 21255790, 28341080, 35426392, 42511732, 49597106?\nAnswer: 56682520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**3 - 2*b**2 + 3*b + 2. Let u = -5 - -9. Let x(h) = -h - 1. Let y be x(-3). Suppose u*r + 4*v + 8 = 0, -2 = -r + y*r + 2*v. Determine c(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 288?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/4*0 - (4 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, i: 8, y: 2}. What is prob of picking 1 i and 1 y?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 68*c. Let o(r) = 5*r**2. Calculate o(d(y)).\nAnswer: 23120*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -57. Let a = 19 - t. Let h = a - -14. Put 1\/5, h, 0.5 in descending order.\nAnswer: h, 0.5, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*a = 23*a - 22540. What is the remainder when a is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57 - 8*g - 57 + (4 + 0 - 3)*(0 + 0 - g) + g - g - 2*g - 3*g - 4*g - 4*g + 2*g - 6*g - 2 - 4*g.\nAnswer: -30*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -34. Solve -g = 2*n + 4, -4*g - 3 = w*n - 10*n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.9 - 0.6. Let h = -0.5 - g. Let l = 0.1 + 0. Sort -2\/11, h, l.\nAnswer: -2\/11, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**4 + 4*r**4 - 100*r**3 - 43*r + 103*r**3 - 5*r**4 + 6 + 2*r**2 + 42*r to i + b*r**2 + p*r**4 + q*r**3 + f*r and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**3 - t**3 - 2*t**3 + (-t**3 - 1 + 1)*(1 - 4 + 2) + (136*t - 27*t**2 - 136*t)*(46*t + 38*t - 34*t) as p*t**3 + w*t**2 + o + j*t and give p.\nAnswer: -1348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 (base 13) in base 10?\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 2*w + 1. Let o(u) = -u**2 - 9*u - 7. Let q be o(-1). Let g(c) = c**2. What is q*s(y) + 4*g(y)?\nAnswer: 5*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-3) - (1 + -1). Which is the nearest to f? (a) 2 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 17 = 8*w. Put w, 1, 3 in descending order.\nAnswer: 3, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 10:39 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 10:08 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 4*z**2 + z. Let s be n(2). Suppose h - 10 = -4*t, t - 2*h = -t + s. Let y = -3 - -15. Solve 5*o - 3*c + y = 0, 2*c = -0*o - t*o - 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1095 - -1100. Solve -p*j = 55 - 45 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009613 to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 12. Let u(h) = h - 23. Let g(y) = 48*y - 53. Let l be g(1). Give l*i(j) - 3*u(j).\nAnswer: 2*j + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 17*r - 69. Let 9\/2 - 15\/2*f + 3\/2*f**r + 3\/2*f**2 = 0. What is f?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 30 = 4*j + j, -2*j = -k + 3. What is the remainder when 7 is divided by (4\/k)\/(48\/216)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6913539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229548 divided by -3102.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38927476?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and -1.3?\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-56)\/(-7) + (-243)\/30. Let y = 0.3 + 0.2. What is the biggest value in l, y, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -758 - -758.3. Let m = -0.7 + -0.3. Sort t, m, 0, 2\/11.\nAnswer: m, 0, 2\/11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82415.96 rounded to the nearest one thousand?\nAnswer: -82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c**5 - 8*c**4 - 8*c**2 - 75*c. Let x(k) = -4*k**5 - 5*k**4 - 5*k**2 - 50*k. Let z(v) = 5*o(v) - 8*x(v). Find the second derivative of z(s) wrt s.\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 236, -0.32672 in increasing order.\nAnswer: -3\/5, -0.32672, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 5*h + 9, -o = 4*o + 5*h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2261422*t**3 + 20675*t**2 wrt t?\nAnswer: -13568532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26)\/(-2)*(2 + -3). Suppose -19 - 15 = 2*f - 4*d, 5*f - 2*d + 69 = 0. Is j bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/24 and -31\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -479*m**3 - 3*m**2 + 9*m**4 - 16*m**4 + 6*m**4 - 614*m**3 to j*m**4 + i*m**3 + c + v*m + t*m**2 and give i.\nAnswer: -1093","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 0.5, 15608\/11, 0.4, 5, 4, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2))**(-22)*(n\/n**13)\/n**7 assuming n is positive.\nAnswer: n**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 7*f - 3. Let w(z) = 2*z**2 - 6*z - 2. Suppose 13*m - 12*m - 4 = 0. What is m*p(n) - 5*w(n)?\nAnswer: -2*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 34211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -282\/7*l**3 - 288\/7 - 888\/7*l - 18\/7*l**4 - 864\/7*l**2 = 0.\nAnswer: -12, -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 16) to base 5.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 73. Let t be (-1)\/38*4\/s*-6. Let v(u) = u**2 + u + 1. Let x be v(-1). Is t at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 31*d + 261. What is t(-38)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**22*g*g**(-2\/31))\/((g*g\/(g*g\/g**(-38)))\/g)**(-2\/13) assuming g is positive.\nAnswer: g**(525\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u**3 - 3*u**3 + 6*u**3)*(-4 + 1 + 2) + 18016*u**3 - 58 - u + u**2 - 18017*u**3 + 0*u to o + n*u + h*u**3 + b*u**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.329125 to 3 decimal places.\nAnswer: 6.329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -140 + -2?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(0 - m**3 + 0) - m - 2*m**3 + m + (-1505 + 1505 + 35*m**2)*(0 + 0 + 3*m).\nAnswer: 105*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 - -3.69.\nAnswer: 3.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.58061 and 0.2?\nAnswer: 0.716122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jcgpo. Give prob of sequence jpcg.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 43692.36 to the nearest one hundred.\nAnswer: 43700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -31055129.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 11 = d + 5*g, 2*d + 12 = 4*g. Let a(t) = 2*t**3 - t**2 - 2*t. Let o(i) = i**2 + i. Let l(u) = -a(u) - 4*o(u). What is the units digit of l(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -202131 - -1?\nAnswer: -202130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*m + z, -21353 + 21341 = -3*z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 704611.1m in millimeters?\nAnswer: 704611100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4)*(2 + 2*l**3 - 2) + (-336*l + 98*l - 130*l)*(-2*l - l**2 + 2*l) + (-4*l + 4*l - l)*(l**2 + 4*l**2 - 3*l**2).\nAnswer: 374*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -5, 326 in ascending order.\nAnswer: -5, -1\/2, 326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-5))\/(((-28)\/(-3))\/(214\/(-321)))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9300796 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 798 + -577. List the prime factors of i.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71079 = 67*f - 4441 - 58346. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, 5, -72, -7 in decreasing order.\nAnswer: 55, 5, -7, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 4*d = 25. Let j(m) = -4*m - 5. Let t be j(d). Suppose 2*l - 7 = t. What are the prime factors of l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-455)*13*63\/99\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 w when two letters picked without replacement from {t: 5, w: 4, x: 1, f: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 139.774 kilometers in centimeters?\nAnswer: 13977400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -13*w - 39. Let z(s) = -1. Let t be 1\/((-9)\/(-11) - (-4)\/22). Determine t*p(q) - 39*z(q).\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -973? (a) -2\/3 (b) -3 (c) 17 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 166*b - 2*b**2 + 166*b as o + i*b + m*b**2 and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-60))\/((-2)\/(-24))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 43328654 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44574 (base 8) to base 9.\nAnswer: -27722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*g + 8*g - 83*g - 141*g as d*g + o and give d.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 16 + -2 + -26 - -7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -10*l + 4. Let v(r) be the first derivative of 3\/2*r**2 - 1 - r. Suppose -56 = 3*j + j. What is j*v(d) - 4*t(d)?\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wg when two letters picked without replacement from gwggaga.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -27*l + 84. Let n be c(0). Is n != 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 45.6. Let t = 11.1 + i. Which is the second smallest value? (a) -2 (b) t (c) 0.3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 9 - 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 480 and 128?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - 0. Let v = -0.2 - 0.1. Let p = 0 + v. Which is the smallest value? (a) t (b) 1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (324\/(-468))\/(7\/(-546)*3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 12. Let l be (-6)\/3 - h\/(-7). Do l and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12659135.2 or 0?\nAnswer: 12659135.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 13*k**2 - 13*k + 21. Calculate d(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29567 + -18846. Let f = -10768.37 + i. Let m = 45 + f. Round m to 1 decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctatqttcaatqqttttqt. What is prob of sequence cq?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49866, 99735, 149604, 199473, 249342, 299211?\nAnswer: 349080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 4 - (12 - 3 - 9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000026889 to 6 dps.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**2 - l + 15. Let i(o) = 5365*o**2 - 6400*o - 30. Let k(v) = -2*h(v) - i(v). Find the second derivative of k(r) wrt r.\nAnswer: -10718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28907480484*k**2 + 340044*k + 1.\nAnswer: (170022*k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**2 + 8625*m + 34452 = 0. Calculate m.\nAnswer: -2871, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -711 + 710.9607. Round n to 3 dps.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15224362 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27894 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a281 (base 11) in base 2?\nAnswer: -110111001111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 21*d**2 - 332*d + 6818. Let q be c(22). Let z(h) = h**2 + 2*h + 9. What is z(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 0*p**2 - 1\/6*p**4 + 0*p**3 - 6*p - 12. Let f(x) be the third derivative of 7*x**5\/10 + x**2. Determine f(b(h)).\nAnswer: 168*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 143 - 88. What are the prime factors of m?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105 - 6196\/59. Which is greater: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, r: 10, q: 5}. Give prob of picking 1 q and 3 r.\nAnswer: 50\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1967*h - 759 = -1898*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -1*sqrt(117))*-3 - -5*sqrt(468)*3*1)**2.\nAnswer: 594*sqrt(13) + 127422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*240\/32\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4511 + 4505. Let d(y) = -y**3 - 6*y**2 - 2*y + 10. Determine d(b).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -6 + (-5 - (18 + -11) - -30).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + ((-12)\/(-4))\/(-3). What is the tens digit of p*-3*19\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 20 = -7*v - 4*x, 0 = 2*v + x + 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*n - 250 = n + 20 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 + 11*v - 2. Let l be x(-8). Calculate the highest common factor of l and 608.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 22 = -27 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 116453617 a multiple of 2153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**2 - 6696*w + 26720 = 0. Calculate w.\nAnswer: 4, 1670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 5:20 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 + 47?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-17171.\nAnswer: -3434.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 14 = -4*h, 0 = -h - 3*r - 0 + 6. Let t be h + 4 + -3*1. Let q = 9 - t. Solve -2 + 1 = -f, -q*j - 2*f = 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -11, 0.1, -2174?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - (24 - 30)) + 8 + -1 - -35\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 108527370 to the power of 1\/2, to the nearest integer?\nAnswer: 10418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-12)*n)\/n**15 assuming n is positive.\nAnswer: n**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12 - (1 - (-1 + 3)). Suppose -12*i = -y*i + 3. Suppose -4*a + 0*z + 3 = -i*z, 3*a = -3*z - 3. Sort 2, -6, a in descending order.\nAnswer: 2, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 5. Let g = 16 - 16. Which is the nearest to g? (a) -5 (b) -0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/25? (a) 255 (b) -5 (c) 1\/568\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 + 171. Let o = -215.8 + h. Let i = -191 + 1525\/8. What is the fourth biggest value in 0.2, i, -3\/5, o?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 614 = 5*i - 3*i, 3*i = -3*w + 939. Let p = 99 + w. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -18*b - 64. Let p(n) = n**3 + 6*n**2 + 3*n + 7. What is p(b)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 57*m - 4. Let f be j(-4). Let x be 1\/(-1) - (f + 1). Suppose 4*y - 2*y + a + 478 = 0, x = -y - 5*a. Round y to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -4*f**2 + 5*f. Let d be 0 + (0 - 24\/(-3)). Let j(h) be the first derivative of 9*h - 9*h - 4*h**2 + 2 + 2*h**3. Calculate d*m(a) + 5*j(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 6 - 18 = -3*z, 3*g - z = 12. Suppose -2*a = g*a. Solve a = -3*c + 1 - 16 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17015 - -17119. Solve k*h - 28 - 180 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71570911987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*g**3 - 3416*g**2 - 582777 wrt g?\nAnswer: 27*g**2 - 6832*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.46 - 8.76. Let u = d - -6.1. What is the biggest value in -5, 5, u, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 847?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z**2. Let m(o) = -48*o. Determine p(m(w)).\nAnswer: -9216*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 93207.92 millennia?\nAnswer: 93207920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -14*g**3 - 2*g**2 - g. List the prime factors of t(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15450*q**2*s - 27*q**2*t - 5943*q*s**3*t - 199*q*s**3 + s**3*t wrt t?\nAnswer: -27*q**2 - 5943*q*s**3 + s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 29*b + 526. Determine c(-25).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -263*k**8\/168 + k**6\/60 + 8*k**5\/3 + 2192*k**2. Find the third derivative of s(v) wrt v.\nAnswer: -31560*v**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -36*r. Let c(f) = -11*f. What is h(c(j))?\nAnswer: 396*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*a**3*b + 3*a**3 + 2*a**2*b - a*b + 4*a + 1 wrt a?\nAnswer: 204*a*b + 18*a + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14\/18*((-6)\/(-4))\/((-198604)\/(-2768))\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 - 2*u**5 - 4*u**5 + (u**3 + 2*u**3 - u**3)*(9*u**2 - 4 + 4).\nAnswer: 13*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 91 = -x, 736*x - 741*x + 9*k + 154 = 3*k for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 7*z**2 - 8*z - 9. Let x be c(8). Let d = -5 - x. Let n(o) = -2*o - 3. Let l be n(-2). Solve -3*p = 2*y - 1, d*p = -5*y - l + 7 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -127 - -131. Which is the nearest to -1? (a) -1\/3 (b) o (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n. Let k(m) = 9*m - 15. Suppose -5*z + 60 = 45. Let a be k(z). Let r(g) = 23*g - 27*g + a*g. What is r(b(h))?\nAnswer: 48*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3 - 11. Suppose -2*b + 1 = -o. What is the highest common divisor of 6 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411*s**2 + s + 412*s**2 - s.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/264 and 81\/440?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3 - 58*x**2 - 122*x - 62 = 0.\nAnswer: -1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -287*-18\nAnswer: 5166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/20 and -127\/317563458.\nAnswer: 3175634580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 136 - 115. Let d(q) = 37*q + 6 - 1 - 30*q - h*q - 2. Give d(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 10) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 39*w**2\/2 - w + 35. Differentiate d(z) with respect to z.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 285\/55 - (-2)\/(-11). Suppose -z - 5*s + l*s - 305 = 0, -5*z - 1461 = -s. Let f = 562 + z. What are the prime factors of f?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-108)\/90 - 20271\/45. Let h = 453 + n. Which is the nearest to -0.1? (a) h (b) -4\/3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h**3 - 236*h**2 + 712*h**2 - 237*h**2 - 239*h**2.\nAnswer: 13*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2580\/1032)\/((-2)\/12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15485 and 52160.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 133384\nAnswer: 3\/133384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -3*l - 30, -2*k + 8*l - 7*l + 23 = 2*l for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.6627 rounded to 1 decimal place?\nAnswer: 48.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 470576437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 52 = -4*x - 54, 5*x + 48 = -4*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1110 by -906.\nAnswer: -185\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -3*f - 5, 4*p = 5*f + 28 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*b = 298*b - 4511. Calculate the remainder when b is divided by 6*25\/3*2\/2.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1 - -1 - -3 - -44 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 2*v**3\/3 - 5*v - 84. Let k(f) = 4*f**2 - 10. Give 4*k(y) - 9*t(y).\nAnswer: -2*y**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -533*r**2 + 3208*r**2 + 1490*r**2.\nAnswer: 4165*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = -3*w + 11*w. What is the second derivative of w*p**5 - 21 + 4*p**2 + 0*p**3 - 5*p**2 - 5*p + 0*p**3 wrt p?\nAnswer: 540*p**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/(-9)*((-24)\/10)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50355.89 litres in millilitres?\nAnswer: 50355890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5043.9 - 3390.19. Let m = -1699 + a. Let y = m - -45. Round y to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/22 and 57\/312568.\nAnswer: 3438248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + -26 + -14 + -1 + -7 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 3 + 3*f - 4*f + 2*f - 5. Let x be i(3). Suppose j + s = -0*s + 5, -j + 4*s - x = 0. Solve -2*n - j = -4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-32770)\/6)\/((-56)\/168). What is o rounded to the nearest one hundred?\nAnswer: 16400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -338169665 divided by -5.\nAnswer: 67633933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-417*k**3 - 11693 + 11693)*(-5*k + 2*k + 2*k).\nAnswer: 417*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39164 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2916386.\nAnswer: 2, 11, 19, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 886011 divided by -3?\nAnswer: -295337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 6*d**2 - 4*d - 5. Let j be y(5). Suppose 461 = 5*l - 4*s, 3*s - 2*s + 4 = j. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 18)\/(7\/70) - -2 - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -1.2. Let w = 1\/81 + -247\/324. Let d = -392 - -2746\/7. Which is the closest to f? (a) 3 (b) d (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4624 divide 416557878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + o + 60, 1 - 13 = -2*n + 5*n + 9*o for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*y = -124*y + 387 - 27 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 5*d + 3*y - 35, 4*y - 44 = -2*d. Let z(u) = -u**3 + 2*u**2 + 5*u - 4. Let n = -5 + 8. What is the least common multiple of d and z(n)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367834608.65 - 66?\nAnswer: 367834542.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -11*l - 40. Suppose 8*h - 12*h = -180. Let z = 66 - h. Calculate the remainder when j(-13) is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*j + 4 + 1 = 0, -5*j = -3*t - 2. Let h = -99 - -122. What is the second smallest value in h, 5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c - c - 2*c)*(-2*c**2 - 4*c + 4*c)*(2 - 2 - 6*c) in the form n*c**3 + u*c**2 + z*c**4 + r + t*c and give z.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 176\/330*36\/(-8)*25\/3\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-3*sqrt(475).\nAnswer: 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 8*l - 10 - 6*l)*(0 + 4 - 2) in the form r + d*l and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*u**3 + 112*u**2*v**3 - 17*u**2*v**2 + 2056*u*v**3 + 2*v**3 wrt u?\nAnswer: -12*u + 224*v**3 - 34*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4357 is divided by 109?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000484180432 rounded to seven dps?\nAnswer: 0.0004842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 20*v - 18*v - 8, 0 = -v + m + 4. Solve -v*x = h + x + 17, 3*h + 11 = -5*x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 55058 and 7962797.\nAnswer: 8017855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128094 divided by -222.\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 302564699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3 - 5 = 0. Suppose 0 = -3*o - 5*z + 34, 12*o - 4*z = 11*o - 17. Sort 4, b, 1, o.\nAnswer: b, 1, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -5*i + 10, -4*i + 8 = -u - 2*u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2247697 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 6. Let y = -0.019 - 25.981. Let u = y - -21. Sort -1\/2, d, u in descending order.\nAnswer: -1\/2, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 r when two letters picked without replacement from bhbbhrihfvbb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 173*a**2 - 4510*a + 128. Calculate s(26).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27.1 + 55.\nAnswer: 82.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 6*r**2 + r - 4. Let i be x(6). Suppose 0 = -c + i + 1. Suppose -4*a = c*q - 12, -4 = -3*q + 2*q + 3*a. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12942 is divided by 4237?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -135 - 7*z + 39*z + 135. Let n be u(9). Suppose n = 2*m + 7*m. Calculate the smallest common multiple of m and 20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -1025*c**3\/3 - 17*c**2\/2 + 14*c - 974. What is the second derivative of f(v) wrt v?\nAnswer: -2050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 + 1 + (105 - 41 - 59)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6 = 4*o, -19 = 2*f - o + 6*o. Let k be (-1)\/f - 63468\/(-56). Let q = k - 1141. Calculate the common denominator of q and -26\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 31*q + 136 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 1. Let n be y(-4). Let m = -547 + 547. Suppose k + n*k = m. Solve -j - 14 = 5*q, k = -j - q - 4 - 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x - 8*x + 144 = -0*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.013 - 1.607. Let f = o + 1.6. Round f to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**5 - 63*v**4 + 45*v**3 + 3207*v**2 - 8568*v = 0.\nAnswer: -7, 0, 3, 8, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/24*(-14)\/980.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-2 + (8 - 5 - 1)) - -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.33, 0.09, -5, -14?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 10*g + 77. Let s be w(15). Let t(n) = 7*n**2 - 7*n - 2. Let f(x) = 3*x**2 - 3*x - 1. Give s*t(z) - 5*f(z).\nAnswer: -z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 + -538738.\nAnswer: -538738.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + h - 108. Let d be -1*(1 - (-1 + 2)). Let r = h + d. What is the smallest common multiple of r and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-42)\/(5\/(20\/(-8))). Does 4 divide 2010\/x + (-6)\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 60\/(-27))*-3. Let p = -0.21 + 2.61. Let t = p + -2. What is the second smallest value in k, -0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10047*v - 9960*v + 1740 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r - 205 - 2*r + 207. Let d(i) = 6*i + 5. Suppose -1 = v, 0*t + 2*v = t + 9. Suppose 44 = 30*g - 76. What is g*d(f) + t*y(f)?\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q + 659 - 515 = 0 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 126861 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/((i**6*i)\/i*i)))\/i)\/i)**41\/(i**(-14))**(-2\/5) assuming i is positive.\nAnswer: i**(997\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 817\/7 + -117. Which is the biggest value? (a) n (b) -1.1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 175697 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 219658 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: List the prime factors of 24030.\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 824 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4500 (base 6) to base 14\nAnswer: -548","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -25340*h**2. Let v(n) = 2*n. Determine v(y(d)).\nAnswer: -50680*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*c**2 + 21897*c + 70224.\nAnswer: -3*(c - 1463)*(5*c + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 56*j**2 + 2*j + 2. Let r = 27 - 16. Let s be g(r). What is s rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -9 + -1 + (-6 - -14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1239*t - 1242*t - 1178*t + 3652*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**2 + 8*d + 20. Let l be v(9). Is 9\/(-3) - (l + -4 - 1) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 204 + 35428\nAnswer: 35632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 817 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2288322\/7 + 325784. Do -1118 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8 + 0*x**2 + 7*x**3 + 4*x**2 + 8 wrt x.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 - 8*h - 6. Let q(z) = -z**2 - 9*z - 5. Let k(i) = -4*f(i) + 5*q(i). What is the remainder when 62 is divided by k(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 27, -2 in decreasing order.\nAnswer: 27, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5477\/50 + 357141\/400. Let v = l + -779. Find the common denominator of 691\/(-42) - (-4)\/14 and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/2336 and 65\/4672.\nAnswer: 4672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 734*a - 724*a + 140 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 + 266 - 133 - d**2 - 133.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, p: 1, x: 2, v: 2}. Give prob of picking 1 x and 1 p.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3646 divided by 3646?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 11995*h**3 - 12 + 2.\nAnswer: 11995*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-10)*m**(-8))**(-38) assuming m is positive.\nAnswer: m**684","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 27, 129, 305, 561, 903, 1337, 1869?\n\"Answer: j**3 + 31*j**2 + 2*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 467 = l - 326, 3*i + 20*l + 84 = 6*i for i.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o + 11*o = -23*o + 245088. What are the prime factors of o?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 60 = b, 907*b - 906*b + 3 = -5*k. Calculate the highest common divisor of 36078 and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 4*p = -112. Solve 14*c = p*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**3 - 2*b**3 + 58639 - 58639.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 9*x**7\/14 + 9*x**5\/20 + 517*x**4\/4 - x**3\/6 - 5*x - 827. What is the third derivative of c(r) wrt r?\nAnswer: 1620*r**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 74907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 5:20 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 0*a**2 + 0*a + 19 + 2\/3*a**3. Let y(w) = -28*w. What is t(y(h))?\nAnswer: 1568*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 137125*m + 0 + 137129*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24193\/8 - 3024. Which is the closest to 1\/3? (a) v (b) 0.9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51678, 203762, 457236, 812100?\nAnswer: 1268354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7*i + i - 1458 = 0, 3*h = 4*i + 2172. Calculate the remainder when h is divided by 43.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from ygqyjwqywwjpyyw.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001156205196 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 35571 + 842571 = 0. What is u rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g = 0. Let h be -1*1\/(-1)*g. Let s be 1\/(-2) + 3007\/194. Solve h = -k + 5*z - 15, -3*k = 3*z + s - 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*k + 8*k = 116 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbnnnnnnnnbnbnnnnnn. What is prob of picking 4 b?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 9*w**2 + 9*w - 6. Let m(d) be the first derivative of 3*d**2\/2 - 4*d + 2. Let z be m(4). Does 2 divide x(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.5727128 rounded to 2 decimal places?\nAnswer: 79.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2682000 to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102202112101 - 2?\nAnswer: 102202112022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 4*o**2 + 2*o - 9. Let d be c(-5). Suppose 3*p - 3*t - d = 0, -4*t = -p + 1 + 1. Solve 3*b + 3 = 4*k, -4*b - p - 2 = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 731963 is divided by 154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -255356 + -212?\nAnswer: -255601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/58 + (-36372)\/(-2436). Solve -4*g = -s + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -18, 2\/5, -0.06, -5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4890 + 5725. Solve p = -10*b + 825 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -362*x + 1016*x + 583*x + 7422 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -17*k**3 + 1195*k**2 - 6. Let z(s) = 49*s**3 - 3583*s**2 + 17. Determine 17*u(p) + 6*z(p).\nAnswer: 5*p**3 - 1183*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2 - 74172*y - 370810.\nAnswer: -2*(y + 5)*(y + 37081)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*z - 51*z + 4*z - 669 + 5*z**2.\nAnswer: 5*z**2 - 74*z - 669","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*5\/(-475)*2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27.36 + -1513.36. Let u = i + 1485.9998969. Round u to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1841485845?\nAnswer: 3, 5, 122765723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 289.2251ml to litres.\nAnswer: 0.2892251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 19 + 4. Suppose w - 22 = 3*p, -p + u*p + 78 = 4*w. Suppose 5*t = -4*b - 5, t - 2*b = w - 6. Solve -t = -2*v + v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5906*h**3 - 2*h**2 - 339*h - 2 wrt h.\nAnswer: 35436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.7 and -0.3.\nAnswer: 2.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 2. Let p be w(-2). Suppose -p*x = -4*b + 16, b - 5*b + 11 = -3*x. Let z = -0.3 + 0.4. What is the closest to z in b, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(500)*-3 - sqrt(20)) + sqrt(20) + sqrt(20))\/(3*(sqrt(4) + sqrt(32)\/sqrt(8))))**2.\nAnswer: 245\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1044620 to the nearest integer?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/(sqrt(96)*-6 - sqrt(6))*-6 + (sqrt(8) - (sqrt(200)*-6 - sqrt(8)))\/(2*3*sqrt(4)))**2.\nAnswer: 19208\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 185668*m - 185679*m + 2158750. What is m rounded to the nearest one thousand?\nAnswer: 196000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3207705.\nAnswer: 3, 5, 213847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 45*p**2 - 45*p + 38. What is h(-46)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/25*((-10)\/3)\/((-9)\/(-45)*15).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*z**2 + 735*z - 2045?\nAnswer: -6*z + 735","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.17, 2\/13, 553, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6*g - 19. Calculate d(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37 - -72?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2663649 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjggggggg. Give prob of picking 3 j.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 5*((-4 + sqrt(208)*2)*4)**2.\nAnswer: -5120*sqrt(13) + 67839","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 12:46 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 4:21 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 3:39 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 - 46. Let k be (h\/206)\/(-4 - 34\/(-8)). Let a be 15\/9*1 - 14\/21. Which is smaller: a or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 4\/3, -30, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*-1 - 281 - (-11 - -7). Let t = 438 + w. List the prime factors of t.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-5 + -1) - (-1 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_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: What is the first derivative of -402864*k*y - 7936*k + 2*y + 237 wrt y?\nAnswer: -402864*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 274 = -44. Suppose -2*r = -m - 68. Let u = r - 58. What are the prime factors of u?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**4\/8 - 3*t**3\/2 + 15*t**2\/2 + 4*t. Let b(w) be the first derivative of a(w). Let q be b(5). Solve h + h = -q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3545 or -5239?\nAnswer: -5239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 + w - 3*w**2 + 4 + 2*w**2 - 3. Let k(l) = -8*l**2 - 5*l - 3. Calculate 3*b(g) + k(g).\nAnswer: -5*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 39779.5 rounded to the nearest 1000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (7 - -2) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3796*k**2*s - 4*k**2 - 6*k*s**3 - 3*k - 1759 wrt s.\nAnswer: 3796*k**2 - 18*k*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c4 (base 16) to base 15.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 861828\/65290*1\/(-3).\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32398804?\nAnswer: 2, 17, 523, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**3 - 25 + 25 - 5*h**3 - h**3 + 4*h**3 + (3 - 5 + 0)*(h**2 - h**2 + h**3).\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l - 2 + 2)*(38 + 32*l - 41 - 77*l)*(4 - 3 - 2) to the form x + g*l + p*l**2 and give p.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -1331.7?\nAnswer: 532.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -150.35 minus 1.09?\nAnswer: -151.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24043 = -24*m - 23635 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -30000*a**3 - a - 1. Let b be f(-1). Round b to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115637739 divided by 115637739.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 - 15*k**2 - 8*k + 1. Calculate r(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6 - (-39)\/9. Let t = -3 + -6. Let o be 1 - (t\/6)\/3. Put l, o, 0.4 in ascending order.\nAnswer: 0.4, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of 26*p**3\/3 - 213. Let z(u) = 21*u**2. Calculate j(z(s)).\nAnswer: 11466*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2 + 2 + 4 - 2 - 15*v. What is the units digit of k(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 505 divide 26159695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**3 - 3*i - 3. Let j(d) = 1. Let y(m) = a(m) - 2*j(m). Let t(n) be the first derivative of y(n). What is the first derivative of t(v) wrt v?\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2039 - 95 = 6*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23.8 + 35. Let s = y - -0.7. What is s rounded to 0 dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*z + 16*z = -k + 8, -z + k = -4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -168 - -171. Solve 10*h + m = 9*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 272?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1581926, -1581902, -1581876, -1581848, -1581818?\nAnswer: -1581786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 9*y - 36. Let s(d) = 2*d**2 - 144*d - 158. Let w be s(73). Calculate o(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 50*t)*(3 - 5 - 3).\nAnswer: -250*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 12:11 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000009483 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142447919?\nAnswer: 4157, 34267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00036567 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3 = 7. Let u be (-4)\/x + 4\/(-4). Which is the third smallest value? (a) -2\/7 (b) 3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, z: 5, o: 1}. Give prob of picking 1 t and 1 o.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 5274, -0.69, 6, 1\/6 in descending order.\nAnswer: 5274, 6, 1\/6, -0.6, -0.69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yyxyyyyyyyxyfxxfyf.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*d + 1822 + 1474 + 974 + 1694 = 0 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*j**3*m*w**2 - 170*j**3*w + 173*j**2*m*w**2 + 4*j**2*w**2 + j*w**2 wrt m?\nAnswer: 10*j**3*w**2 + 173*j**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o - 2 = l, -5*o = -5*l - 10. Let v = 3\/2 - 7\/6. What is the closest to o in v, -5, -4\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 4*b + 3. Let h be l(-2). Let d = 13 + h. Let g(s) = -5*s - 5*s - 8*s - 2*s + 18*s. Calculate g(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 5 = 3*r, -5*r = x - 45 + 52 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -9210?\nAnswer: -1\/3070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/b**(1\/9)*b*(b*b\/b**(1\/10)*b)\/b*b)\/((b**(-2)\/b)\/b**7) assuming b is positive.\nAnswer: b**(1511\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -49b62 - -c?\nAnswer: -49b54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (12 + (-9 - -5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 25364595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103 + 118. Solve d - t = -4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 155487?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 4*m + 14. Let r be g(-6). Solve -r*p + 3 = p + n, 4*n = -2*p - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjb when three letters picked without replacement from bjskskq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 864 is divided by 186.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 i when three letters picked without replacement from {i: 12, z: 3}.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -6*a - 19. What is h(-8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -33, -3, -9 in descending order.\nAnswer: -2, -3, -9, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577118?\nAnswer: 2, 288559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mu when two letters picked without replacement from {e: 2, v: 2, s: 1, m: 1, u: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6185*q**4 - 19*q + 6*q**2 - 13*q - 6905*q**4 wrt q.\nAnswer: -17280*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*k**3 - 10127*k**2 + 46*k + 2364589 wrt k?\nAnswer: -9*k**2 - 20254*k + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -856 times 5.5\nAnswer: -4708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59 - (29 + -47)) + 9.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*n + 15, 0 = 5*n - 5*d + 6*d - 26. Let s = -1 - -1. Suppose -b + s*b = -n. What is the remainder when 13 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -414 (base 7) to base 2\nAnswer: -11001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 538*q. Let m(i) = 2454*i**2. Determine m(k(v)).\nAnswer: 710295576*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4\/11 + 178*s**3\/11 + 172*s**2\/11 - 32*s = 0. Calculate s.\nAnswer: -88, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352292?\nAnswer: 2, 29, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.171 in -0.3, 11.4, 0.3, 18?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 7:56 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*w**4 + 25 - 25)*(0 - 3 + 4).\nAnswer: 38*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(832)*-1 + (sqrt(13)*-2 + 4)**2 + (sqrt(117)\/(sqrt(9)*1) - (sqrt(13) - sqrt(130)\/sqrt(40)))).\nAnswer: -141*sqrt(13) + 408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 377332 and 53342?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -571 divided by 1?\nAnswer: -571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/2 and -67\/1424.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 5*c + 9. Let m be y(3). Suppose j + m*x = -x + 108, x - 188 = -2*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, m: 1, a: 5, n: 1, f: 7, h: 1}. What is prob of sequence mmhn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 15925.82cm?\nAnswer: 159258200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) 2\/7 (c) -5 (d) -10 (e) -2\/11 (f) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*w - 276 = 35*w + 11*w + 804 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-6))\/((-144)\/1130 - 30\/(-225)). Which is smaller: x or -343\/3?\nAnswer: -343\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -13, -38, -85, -160, -269?\nAnswer: -418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82654.\nAnswer: 2, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 12 + 44 = 0. Suppose -3*n + 10 = -s. Suppose 0 = -4*j + n - 0. Is j a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -1, 11, 25?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 457757.3 or -2?\nAnswer: 457757.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 539 and 846818?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - v + 0 - 2)*(72 + 40 + 126).\nAnswer: -238*v - 476","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**11)**(-3\/40) assuming j is positive.\nAnswer: j**(-9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7, -37, -81, -125, -169, -213?\n\"Answer: -44*g + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -21. What is the common denominator of 125\/12 + (-3)\/w and 62\/5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-496)\/(-10) - (92\/20 + -4). Suppose s = -4*o + 11*o. Solve 0 = -o*u + 4*u + 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 21. Are r and -2\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 361 + -196. Suppose 2*p - n = 81. What are the prime factors of p?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4)\/f)**(37\/3))**(-2) assuming f is positive.\nAnswer: f**(370\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 44412 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssysyyuusyssss. What is prob of picking 1 u and 1 y?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*t**4 + 5960*t**3 + 590035*t**2 - 396010*t.\nAnswer: 5*t*(t + 199)**2*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -132*j + 248. Let z(u) = u + 31. Let a(g) = h(g) - 8*z(g). Let y(x) = -34*x. Determine y(a(i)).\nAnswer: 4760*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 13. Suppose 0 = 3*f + f - n. Find the third derivative of d**f - 4*d**4 - 2*d**2 + 0*d**4 wrt d.\nAnswer: -96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 51 + 243*u**2 - 243*u**2 - 3222*u**3.\nAnswer: -3222*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*b**2 + 1327*b + 3868.\nAnswer: 10*b + 1327","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 7. Which is the smallest value? (a) 3 (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/48 and ((-402)\/131 + 3)*(-442)\/(-1248).\nAnswer: 6288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 44*p**2 - 4*p. Let k(q) = 22696421 - 22696421 - q + 9*q**2. Determine 3*b(s) - 14*k(s).\nAnswer: 6*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*i - 153*i - 16 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**2 - 9*c + 7*c + 16*c = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1033.5 * -1489.9.\nAnswer: -1539811.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 9*m**2 + m - 7. Let x be r(9). Suppose 6*s - 80 = x*s. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 364*u + 10. Let v(p) = -728*p - 21. Let x(k) = -9*i(k) - 4*v(k). Let h be x(-2). Suppose -h = -5*o + 2003. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r - 3*r)*(0 + 0 + r)*(-5*r - r + 2*r).\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1453568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 293 = -4*f, -2*f - 4*t + 374 = 3*f. Suppose 5*u - 2*u - 333 = 2*p, -4*p = 0. What is the greatest common factor of f and u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + 2*x - 3*x + (0 + 2 + 0)*(118*x - 394 + 394)*(2 - 7 + 3) + (0 + 3 + 0)*(-1 + 1 - 3*x).\nAnswer: -483*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c = -7*c - 28 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 0 - -6 - 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -18041*2\/(-4)*10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -361 or -0.048?\nAnswer: -361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1638064834?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 114*b**2 + 6*b + 2. Let i(v) = 6*v**3 + 571*v**2 + 33*v + 11. Calculate -11*f(p) + 2*i(p).\nAnswer: p**3 - 112*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 6:46 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -11\/24 (b) 0 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1286 = -3*n - 5*j, -4*n - 4*j + 2748 - 1028 = 0. Let x be (2\/(-4))\/((-12)\/n). What is the highest common factor of x and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 4. Suppose -x*c + 0*c + 62 = 0. What is the highest common factor of c and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 44*s**3\/3 - 123*s**2\/2 + s + 13. What is the units digit of a(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009151 rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 8. Let k = 425.9 + -425.4. Sort k, r, -0.09 in descending order.\nAnswer: r, k, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5 + sqrt(275) + -2 + -5)**2.\nAnswer: 20*sqrt(11) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2930 (base 10) to base 13.\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.628902 microseconds in hours?\nAnswer: 0.000000010174695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -9*o - 42*o - 4*o - 39*o - 27. What is the units digit of x(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/8*(0 - 6). Let u = -6 + z. Let x be (-1)\/(-4) + 22\/8. Sort -4, u, x in descending order.\nAnswer: x, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7987 is divided by 3979.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2631 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 553700 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 43403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + 1.8. Let m be 3*(32\/64)\/(2\/(-4)). Which is the closest to f? (a) 4 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 256 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -276129138 divided by -46021523.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2.6. Let i = z - -3.4. Let y be (-111)\/37*12\/9. Sort i, 0, y in descending order.\nAnswer: i, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/4 and (-9)\/(-6)*182\/18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - ((-18 - -30) + 9) - 18.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 539578 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -1 + 3*z + 3 + 1 - 1. What is the lowest common multiple of b(2) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1\/((-383554)\/(-34867) + -11) and 21.\nAnswer: 6153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abafbababaabaib. What is prob of picking 1 b and 1 a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**9\/1008 - 7*r**5\/120 - 16*r**3\/3 - 20. Let j(l) be the third derivative of t(l). Find the second derivative of j(n) wrt n.\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -274, -259, -234, -199, -154?\n\"Answer: 5*j**2 - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*o**4 + 40*o**3 + 51*o**2 + 10*o - 8.\nAnswer: (o + 1)**2*(o + 4)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1\/3, -49\/9, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 1, -28, 106 in decreasing order.\nAnswer: 106, 1, 0, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence syus when four letters picked without replacement from iusissssyursuiqyy?\nAnswer: 9\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**5\/60 + n**4\/12 + 3*n**2\/2 - n. Let z(a) be the first derivative of m(a). Determine x, given that z(x) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**6\/24 + 3*d**4\/8 - 6*d**2. Find the second derivative of m(b) wrt b.\nAnswer: -30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(627) + sqrt(627)*-1))\/(-3*2*sqrt(11)))\/((sqrt(960)\/sqrt(10))\/(sqrt(8)\/(sqrt(4) + sqrt(36)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1985517033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (32\/20)\/((-6)\/(-15)). Suppose 2*n - 24 = -z. Let k(q) = q**3 - 10*q**2 + 3*q - 11. What is the units digit of k(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**2\/5 - 72606*v\/5 + 145224\/5 = 0. What is v?\nAnswer: -24204, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1653 divided by 3341\nAnswer: -1653\/3341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 4 = 5*g - 2*g, 2*k = 4*g - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 460.8 - -24316.\nAnswer: 24776.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 33\/5, -238, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x - 2. Let k be a(-1). What is the highest common factor of 18 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -6 + 16. Suppose 6*d = -5*q + d - 5, -p*q + 4*d = 23. Is q greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h - 3 = 0. Is 3 a factor of (-72)\/(-16)*(-4)\/h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + y + 3*b + 151, 4*b + 84 = 3*y. Let c = 16 + y. Let s = c + -27. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1270681 + -6770681. Round v to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -32, 4 in descending order.\nAnswer: 4, -1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 5:33 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from jscscjsschjsjchhs?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/10 of a gram in milligrams?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 15592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -46*r**3 + 21*r**2 + 25*r + 2. What is the remainder when x(-1) is divided by 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -8. Let v be 30\/4*l - 2. What is the remainder when 22 is divided by (-4)\/(-6)*(v - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4 + t**2 + 2*t - 1 - 2 + 4. Let y be p(-3). Suppose 2*q + 4*i = -q + 257, -2*i + 10 = y. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 - -5992?\nAnswer: 6009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308551 is divided by 101585.\nAnswer: 3796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -94, -5, -2\/7, 3\/5, 16 in ascending order.\nAnswer: -94, -5, -2\/7, 3\/5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*p + 3*p - 60. Solve -3*s + 0*c = -4*c + 17, -p*s + 2*c - 6 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*w - 2*o, -5*o - 14 = -2*w + 5. Let l(q) be the second derivative of -1\/12*q**4 + 2*q + 0 + 0*q**3 + 1\/2*q**w. Let l(m) = 0. Calculate m.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -265 + 270. Let l be 0 + 1943 + (5 - 6). Suppose -d*o - 817 = -l. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -7*d**6\/30 - 11*d**3\/6 - 11*d. What is the second derivative of h(v) wrt v?\nAnswer: -84*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, c: 4, w: 3}. Give prob of sequence ww.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 270 = 7*c + 1294 - 714 for c.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -37510968700 rounded to the nearest 1000000?\nAnswer: -37511000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39\/5*n + 6\/5 - 18\/5*n**3 + 3*n**2 = 0. What is n?\nAnswer: -1, -1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/((-99)\/(-6)) + 160468\/121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -696, -535, -266, 111, 596, 1189, 1890?\nAnswer: 2699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 14.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - 0. Let p = -114.8 - -116.8. What is the biggest value in p, 2\/9, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/415523, -0.474, 0 in decreasing order.\nAnswer: 0, -2\/415523, -0.474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 7) in base 16?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13738140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 + -68)*1*4\/10. Sort h, 0.1, 5 in descending order.\nAnswer: 5, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*r**2*x**2 - 12559*c**3*r**2 + 4*c**2*r**2*x**2 - 7*c**2*x**2 + 2*c**2*x + 16*r - x**2 wrt c.\nAnswer: 6*r**2*x**2 - 75354*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 = 5*l - 2*l - 3*z, 1191*z + 178 = 4*l + 1193*z for l.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -h - 10. Suppose h + 7 = 4*k. Solve -k*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*r - 73 = 0, 0*r - 11 = -v + r. Suppose -v = -5*n + n. Determine s so that s**n + s**2 - s**2 - s**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*d + 34*d + 241 = -439 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*d**3*z - 4*d**3 + 10*d**2*k**2*z - 15*d**2 + 3*d*k*z - k**2 wrt z.\nAnswer: -5*d**3 + 10*d**2*k**2 + 3*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c3b - -11?\nAnswer: -c2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-133809)\/15 + 5\/(-50)*-6. Let x = q + 16230. What is x rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 24 = 5*x, 9*o - 4*o + 3*x - 44 = 0. Solve -6 = p + h, -p = o*h - 2*h + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25.5 + -29. Let y = -2.5 - q. Which is bigger: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 20 = -4*x, 0 = -34*x + 35*x + 5*u - 7 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 - 5*r - 7. Let t(a) = -6*a**2 - 16*a - 20. What is 16*i(f) - 5*t(f)?\nAnswer: -2*f**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2260*s - 2233*s = -189 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*i**3 + 2*i - 79*i - 17*i + 25*i**3 in the form a*i**3 + m*i**2 + t + n*i and give n.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13 and 5?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1381126 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23808 is divided by 7919?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -8. Which is the third biggest value? (a) -1\/6 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(75)*-4 - (3*sqrt(75)*2)**2) + -2.\nAnswer: -2702 - 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33222771 by -1230473.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 27075.\nAnswer: -27070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/3)\/p*p\/(p*p**(-3))*((p**(-1\/2)*p)\/p*p)**(-42) assuming p is positive.\nAnswer: p**(-59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**6\/30 + 61*b**4\/12 + 791*b**3\/6 - 667*b. Find the second derivative of x(d) wrt d.\nAnswer: -12*d**2 + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 0, -2\/5, -3\/7, -0.0593?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppakpapkppppkpepph. What is prob of picking 1 a, 1 k, 1 h, and 1 p?\nAnswer: 11\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 7*a - 56 = 5*a, -r + 3*a = -1 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + 4*(-1 + sqrt(1008)) + sqrt(1008) + 1 + sqrt(1008)*-2.\nAnswer: -3 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 + 31*p**2 + 101*p + 3245. Give o(-18).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 2*c + 13. Let b be q(-11). Let w = -132 - b. Suppose i + x - 2 = 0, -i - 6*x + x = -14. Put w, 5, i in decreasing order.\nAnswer: 5, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 309806 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0283 - 2.8117. Let g = 1.26 + -1.1. Let j = g - x. Put 2, j, -3 in decreasing order.\nAnswer: j, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - b = 2*h + 16, 36 = 5*b - h. Let v = -6 + 10. What is the units digit of (-1)\/v - (-90)\/b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 4*o + 4. Let i be 6*(-4)\/(-30)*5. Let y be f(i). Put -2, -4, y in ascending order.\nAnswer: -4, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 35*f + 144. Let d be b(-4). Solve d*l - h - 7 = 14, 3*l = 4*h + 19 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 66 + 139. Let b = 9 + c. Let l = b - -52. Calculate the highest common factor of l and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 1 + -3 + 14 + 2 + -8 - -33\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (11 - -14) + -8 - (-3 + 1 + 5)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 104799, 212706, 320613, 428520, 536427, 644334?\n\"Answer: 107907*b - 3108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -2*j - 2*j - 4, -3*j - 4*g = 5. Let n be 0*j\/3 + 5. Put -2\/7, n, -0.1 in descending order.\nAnswer: n, -0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/19, -131, -11\/6, 0, -1, 6?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7673335.35 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -288 - 669*s - 270 + 35*s**3 - 366*s**2 - 48*s**3 - 1935*s + 166.\nAnswer: -(s + 14)**2*(13*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, c: 1, y: 2, v: 2, s: 2, i: 1}. What is prob of sequence iysc?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1334.177*0.22\nAnswer: -293.51894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/4422 and 41\/229944.\nAnswer: 229944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -24524, -98206, -220996, -392882, -613852?\n\"Answer: 2*j**3 - 24566*j**2 + 2*j + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5987 = r + 3*r + 5*o, 5*o = 5. Let i = 3065 + r. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c. Let o(f) = 5 - 4 - f - 4 + 2. Let l(n) = -2*a(n) - o(n). Determine l(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37420 and 209552.\nAnswer: 1047760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**7\/1260 + f**4\/3 + 4*f. Let v(p) be the third derivative of w(p). Let y(q) = 3*q**2. Calculate v(y(n)).\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2.6, 3 in ascending order.\nAnswer: -2.6, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5475 + 5476.2. Which is the biggest value? (a) f (b) 1.09 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -2.43.\nAnswer: 4.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuctt. Give prob of picking 1 u and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.57 - -22.43. Let p = t + -7. Let z = p - 19. Which is bigger: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-2 - 20 - -12)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/56576 and -49\/136?\nAnswer: 56576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 + 41. Let r = 2.1 + -2. Which is the nearest to r? (a) 5 (b) -1\/6 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 24 = f. Let p = f + -3. Solve p = 5*a + 2 + 23 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 11:09 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -161 - -165.02. Let v = 0.02 - d. Which is the nearest to 0? (a) 0.5 (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 30630809 and 30630817 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -6, -151, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -109 - 1050*h**3 - 34*h**4 - 1099 - 3705 + 32*h**4 wrt h.\nAnswer: -8*h**3 - 3150*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 6) + (-8 - -1) + -37 + 36\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 0. Let o(q) = 19*q - 3. Let d be o(3). Calculate the highest common factor of r and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -564*o**3*z**2 + 1197*o**3*z + o**2*z**3 wrt z.\nAnswer: -1128*o**3 + 6*o**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 413? (a) 0.2 (b) -2466 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(0 + (-4)\/4378). Let d = 1219 + s. Round d to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rttttrn. What is prob of sequence nttr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 34\/5 of a hour?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-1 - (-1 - 3)). Suppose l = -3*q + 6, -5*a + 2*q + 1272 = -159. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 114? (a) -2\/9 (b) 0.4 (c) -0.5 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) 1\/61 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2748608 divided by -90\nAnswer: -1374304\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5128 + 6865. What is a rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmfyfdtfyxtftfyfyyt. Give prob of picking 3 y and 1 x.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20681, -41350, -62019, -82688, -103357, -124026?\n\"Answer: -20669*b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 152657.704 to the nearest ten.\nAnswer: 152660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 193 - 753 = r, -4*r - 945 = -5*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*q - 64*q + 195*q - 14*q - 63*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 4*j**2 + j - 4. Suppose 289 + 530 = 63*d. Let x be (-2)\/(-8) - 1\/4. Let i = x + -6. Let w(g) = 9*g**2 + 2*g - 9. Give d*r(u) + i*w(u).\nAnswer: -2*u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -461, -441, -409, -365, -309, -241, -161?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279 divided by -1271.\nAnswer: -9\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 3133552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 354 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158936?\nAnswer: 2, 19867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*((0 + 4 - 6)*(d - d - 2*d) - 2*d - 4 + 4).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) -0.0051 (b) 0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*((p**(-1)*p)\/p)\/p*p)**(4\/3)*p**(-4\/5)*p**(-8)\/p assuming p is positive.\nAnswer: p**(-127\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8536470 a multiple of 310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 6 + -2 - -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7 + 7*a + 1 + a**2 - 4*a. Let q be p(-5). Suppose 2 = -3*n + q*u, 4*u - 5 = -5*n + 13. Solve -3 = 5*t - n*t, z - t = 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 7*r + 50. Calculate the remainder when 87 is divided by s(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/11060 and 73\/4.\nAnswer: 11060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -26. Let f be (-23)\/(-10) - u\/34. Which is bigger: 2 or f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -6. Let i = v + 9. Suppose 0 = -i*f, 6*f = -2*z + f + 42. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.8 + 4. Let y = 0.05 + 0.35. Put y, u, 0 in decreasing order.\nAnswer: y, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 - 2*c + 1. Suppose -141*l = -17*l - 124. What is d(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 4*x = 0, -x = -126*h + 122*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**5\/30 + 2*j**2 + 5*j. Let t(n) be the first derivative of l(n). Let v(f) = 13*f**2. Determine t(v(r)).\nAnswer: 338*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k**2 + 22*k**2 + 18*k**2)*(k + 1 - 1)*(2*k + k - 4*k).\nAnswer: -32*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 483*m**2*r**4 - m**2*r - m**2 + 5*m*r**5 + 504*r wrt r?\nAnswer: 5796*m**2*r**2 + 100*m*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g - 3. Let s be b(4). Let i be (s - -3)*3\/2. Let n(r) = 4*r**3 - 2*r**2 + r. Let k be n(1). Solve -3*t - k = -i*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 - (19 + 15) - (0 + -8) - -11?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 4*w - 43. What is q(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.09 - -12.6. Let o = f + 0.49. What is the nearest to 2 in o, -1\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -517*o**5\/12 - 3373*o**3\/6 + 8*o**2 - 101. What is the derivative of r(t) wrt t?\nAnswer: -5170*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3401?\nAnswer: 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*n = 24 + 16, -5*u + 25 = 2*n. Suppose q = -2*w - 7, -3*w + 0*w = 15. Solve 3*z + 12 = u*m, -q*m + 5*z + 17 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.6 - -2.4. Which is the smallest value? (a) -5 (b) -4\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 - 5*u - 4. Let p be y(-1). Let z(g) = 2*g**2 + 33*g + 18. Let j be z(-16). Solve -j*b = -p*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 12102961.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, b: 6, q: 5}. What is prob of picking 3 q?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + 0.1. Let a(j) = -j**3 - 11*j**2 - 8*j + 17. Let q be a(-10). Let l be (q\/2)\/(((-10)\/2)\/20). What is the second smallest value in l, -3, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/1774, -4, -0.067, -5\/4, 1\/3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 - 56*n**2 - 13*n**2 - 9*n**2 + 78 + n**2.\nAnswer: -77*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(2*(-2)\/(-4)). Let q(o) = 2*o**2 - 2. Let j be q(m). Suppose 11 = 2*u - d, -3*u + 2*d + j = 4*d. What is the least common multiple of u and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1174 is divided by 1149.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -6*y - 0*y. What is the units digit of ((-7)\/(-3))\/y - (-518)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/27? (a) -3 (b) -8\/9 (c) -0.4 (d) 27 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h = 22*h - 816. Let q = h + -68. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.77 - 4.77. What is the second biggest value in 7, a, 3, 0.06?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -134 * 59271.\nAnswer: -7942314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -207. Suppose 0 = -v - 213 - c. What is v rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 11*t. Let c(d) = -d**2 + 9*d. Let n(p) = 4*c(p) + 3*z(p). Let w(a) = a**3 - 2*a**2 + 4*a. Determine 4*n(j) - 3*w(j).\nAnswer: -3*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 times 16670531\nAnswer: 2167169.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 8*m**3 - 8*m**2 - 21*m + 18. Let i be k(15). Suppose 11*j - 2*j = i. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*w - 68, 0*w - 3*w - 189 = -3*a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8795.657um to meters.\nAnswer: 0.008795657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 22 = 3*w. Suppose -g + 3 = 1. Let m(r) = -g*r - r - w + 3. Give m(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1016 and -1018 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 10*g**4\/9 + 316*g**3\/9 + 2432*g**2\/9 - 1024*g\/9 = 0.\nAnswer: -16, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - 28. Calculate the remainder when 67 is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*c - 4. Let j(r) = -c*r + 3*r + 3*r - 2*r. Let f(s) = -9*s**2. Determine f(j(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 700 a factor of 10847200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*y = 36*y - 480 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7757 is divided by 1893?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*p + 12. Which is the closest to p? (a) 0.3 (b) 14\/13 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7222 = -109*m - 59*m + 4538. Calculate the greatest common divisor of m and 23170.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 35, 2, 5, -114 in descending order.\nAnswer: 35, 5, 2, -1, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 - 30*b + 23. Let c be a(14). Let g be 117\/(((-2)\/(-16))\/(c\/4)). What is g rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11842131, -11842133, -11842135, -11842137, -11842139?\nAnswer: -11842141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13522?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 123716.\nAnswer: 2103172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 2:08 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1180*p + 5166 - 17880 - 6030 = 17836 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 960 and 1068.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -40 (b) -4\/57 (c) 1\/4 (d) -665\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 9*q**3 + 5*q**2 + 15*q - 4. Let x(v) = -5*v**3 - 2*v**2 - 8*v + 2. Let s(n) = 4*c(n) + 7*x(n). Calculate the remainder when 8 is divided by s(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**6\/360 - v**4\/12 - 5*v**3\/3 - v - 21. Let x(o) be the third derivative of j(o). Determine x(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62719*q**3 + 72999*q**2?\nAnswer: -376314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttrbbrrrrrtbb. Give prob of sequence br.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58402?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*z - 47*z - 7413 + 7419 - 152*z - 167*z.\nAnswer: -328*z + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9146 is divided by 365?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/276 or 1?\nAnswer: -1\/276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-120)\/250)\/((-3)\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 9 + 1)*(7 - 3 - 2)*(-u - 2 + 2 + 2*u - 4*u + 0*u + (-1 - 1 + 1)*(-u - 2*u + 4*u)) in the form a + c*u and give c.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -40?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 78274 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + v**2 + 1. Let b(r) = 7*r**3 - 3*r**2 - 8. Give b(w) + 3*u(w).\nAnswer: 4*w**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*o + 4*c + 18, 14 = -o + 5*c for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 15 + 7)*(-3*p - 13 + 13)*(-6*p**4 + 3*p**4 + 8352*p - 8355*p + 41).\nAnswer: 27*p**5 + 27*p**2 - 369*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 16 - 26 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 6:18 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*b - 144 = 36*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 16. Suppose 0*x = 4*j + d*x - 20, 4*x - 12 = -2*j. Suppose 0 = -j*i - l + 20, -5*i - 2*l + 3 = -22. Solve 5*b + 5*r = 5, 2*r - 1 - 15 = i*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/3 and -16\/2103497.\nAnswer: 6310491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 4:01 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 4) + 50 + -48 - -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -9*(-2)\/24 - 889\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116 divided by -58?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + 558*a + 23254. Give p(-228).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 128336231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-2))\/(6\/(-8)). Suppose c*z - 4 = -0. Suppose -z*l + k + 0*k + 8 = 0, 4*l - 4*k - 8 = 0. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 45 = -m, -3*d + m = 2*m - 29. Let a(l) = l**2 - 8*l - 3. Let h be a(d). Let p = 4 + h. Solve -p = -4*f + 11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11950887.32 to the nearest 1000.\nAnswer: 11951000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (5 - 0 - (501 - 487 - (1 + -7)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/2 of a day?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017197249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 3*w - 17. Let s be a(8). Suppose -27*q = -s*q - 224. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 at least as big as 0.218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*d - 0*d. Solve d + 8 = -4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 54 - 73 - 9*l**3 + (2 - 5 + 2)*(l - l**3 - l) in the form t*l**2 + w*l + q*l**3 + n and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2746.59 seconds to microseconds.\nAnswer: 2746590000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/129471 smaller than -5.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -227 or -226?\nAnswer: -227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 322 + 355 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = c + d, 1 = -c + 9*d - 12*d. Suppose 5*f + c*q + q - 38 = 0, -q - 54 = -5*f. Solve -4*k - 2*a = -f, 5*k + 0*a = 2*a + 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.009 (b) 6\/7 (c) -0.1 (d) -96 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*f**5 + 415*f**4 + 10780*f**2 wrt f?\nAnswer: -2340*f**2 + 9960*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 25*w**2 - 24*w + 23. Let q be v(-24). Let l = 28 + -1. Let x = l - q. Solve 6*j = x*j + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*y + 48. Suppose -14 = -3*f + y. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -433 (base 6) to base 4\nAnswer: -2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -9 - 7 + 93*c - 95*c + 5. Let x(i) be the third derivative of -i**5\/20 + 30*i**2 - 1. Give y(x(s)).\nAnswer: 6*s**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -7 - -6) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 3*d + 3*d)*(-6 - 1 + 3) + 1 - 2*d - 1 + 155*d - 242*d + 476*d.\nAnswer: 383*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002277011775 rounded to six decimal places?\nAnswer: -0.000228","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pt when two letters picked without replacement from {t: 2, p: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 159795328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6364\/3 - 50621\/24. Let x = 822025 + -569663896\/693. Let a = -5\/77 + x. Calculate the common denominator of a and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 338675 and 2356?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15065 + 15104. Suppose -z = 3*z - 180. Suppose -4*b + z = 2*h - b, 2*h = -5*b + 35. What is the lowest common multiple of n and h?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 14009962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 281239.\nAnswer: 7, 40177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(-56)\/((-3528)\/105)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 + 4*a + 2. Let g be m(-3). Let c(w) = -w**3 + 9*w**2 - 8*w + 12. Calculate the remainder when 21 is divided by c(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 7*l**2 - 5*l + 10. Let r(w) = w + 3. Let y be r(5). Let c be f(y). Suppose -4*h + h + 2*b = -607, -2*h = 2*b - c. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 211 (b) 0 (c) -1\/13 (d) -16 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 4. Let w = -5 - q. Which is the second biggest value? (a) 0.3 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10102213031 (base 4) to base 14\nAnswer: -213cbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 125, 214, 341, 518, 757, 1070, 1469?\nAnswer: 1966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 + 0.474.\nAnswer: 13.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**3\/6 + 3*a**2 - 4*a - 11. Give g(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-6))\/(1\/(-3)). Let v(y) = -y**2 - 4*y - 1. Let c be v(-3). Let p = c - -2. What is the highest common factor of k and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, 2, 1\/99, -4, 4, 3\/7, -6 in descending order.\nAnswer: 4, 2, 3\/7, 1\/10, 1\/99, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(112))*-4)**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8\/120*10 + (-2)\/6\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1674\/((-18)\/2)*(-4)\/8 is divided by 53?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59 and 6431.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-43))\/(48\/(-16) + 6). Which is the nearest to 0? (a) 1\/3 (b) -2 (c) -0.3 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 816 and 14178.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*z - 48. Let v = 45.33 + -45.43. Which is the closest to 1? (a) z (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(-5)*k*k))\/k**1*(k**(-1\/3)*k)**24)\/((k**(-2\/9)*k**(1\/7))\/((((k*k**(-1))\/k)\/k*k*k)\/k)**(-13)) assuming k is positive.\nAnswer: k**(2021\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.5 - -12. Let i = 1.5 + s. Let t(x) = 5*x - 1. Let p be t(1). Sort i, p, 0.5.\nAnswer: 0.5, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10946?\nAnswer: 2, 13, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5141015067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 463 - 463.07813. What is j rounded to three decimal places?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 11172.\nAnswer: 33516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-3*6\/(-9)). Suppose 2*n - 137 + 15 = z. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3206.914 rounded to the nearest one hundred?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4ba92a (base 16) in base 10?\nAnswer: -4958506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.2 - 0.8. Let c = -116.963 + 117. Let l = c - -0.063. What is the closest to l in 0.5, 1, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.28, 0.4, 0.1, -5, -2.6 in descending order.\nAnswer: 0.4, 0.28, 0.1, -2.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.1 in 26474, -1\/5, 1\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16.9 - -17. Let y = -0.17762 + 0.37762. Which is the third biggest value? (a) g (b) 1\/2 (c) 0.3 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 32*f**2 + 228*f + 193. Determine h(15).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 13*r**2 - 198*r + 64. Let g be i(15). Let d = -3 + 2.8. Which is bigger: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103032 to the power of 1\/2, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 3*s - 27, -d + 114*s - 117*s = 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -747776 + 1323585\nAnswer: 575809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0903046431 rounded to three dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r + 8. Let h be c(4). Let o(l) = -10 + 12 - l + 9. List the prime factors of o(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(152) - sqrt(152) - (2*(-1*sqrt(152) + sqrt(152)) + sqrt(152)))\/(sqrt(200)*-2*-1) + -3.\nAnswer: -sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7818, 12239, 16660?\n\"Answer: 4421*s + 3397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 80*s - 40 - 186 - 94. Let b(w) = w + 4. Suppose p + 3*d + 3 = -8, -4*p + 4*d - 44 = 0. Let y(g) = 3*g + 12. Give p*b(h) + s*y(h).\nAnswer: h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(539))**2 + -3 + (2*sqrt(220))\/sqrt(5) - -5*(-4 + (sqrt(1100) + sqrt(1100)*-2)**2 - (sqrt(1100)*-1 + 0)).\nAnswer: 68*sqrt(11) + 6017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t + 12. Let s be g(-2). Suppose 2*w = 5*q + 53, -s*w + 7*w - 5*q = 14. What is the highest common factor of w and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 1:35 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8*j = 230. Let r be j\/8 + 6\/(-8). Let n be (2\/r)\/(2\/30). Solve -5*q - 4 = 5*i + n, -5*q = 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 1. Let y(d) = 10*d**3 - 2*d**2 - 3*d + 193. Let l(t) = -3*w(t) + y(t). Differentiate l(z) wrt z.\nAnswer: 30*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**3 - 45*x**2 + 243*x - 600. Factor u(c).\nAnswer: 3*(c - 27)*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = 3*w + 161. Suppose 32 - 9 = -3*q - 4*n, 4*q - 4*n - 16 = 0. Let d = q + 5. Solve -w*s = 4, g + 7*s - d*s = -1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 3*f - 7 - 10, 3*f + 23 = -5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence add when three letters picked without replacement from caffcdcdgaagggg?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-3))\/(82\/(-738)). Is -294 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q - 76*q + 62118 = 0. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, f: 3, m: 3, n: 13}. What is prob of picking 1 f and 1 d?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -999*y = 52*y + 7357 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**3\/11 - 11130*o**2\/11 + 20646150*o\/11 - 12766202750\/11 = 0. Calculate o.\nAnswer: 1855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.15 - 0.15. Let x = 0 + 2. Suppose 4*q + 10 = x*q. What is the second smallest value in m, 3\/4, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(3 + 152\/(-1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 4, -5, 1, 1.86?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/2236388 and 89\/5754.\nAnswer: 6709164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 416257 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r - 4*r**2 - 4 + 0 - r**3 + 5. Let d be u(-4). Suppose -d*i = -24 - 6. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyjyqqfrqyfyff. What is prob of sequence jfjy?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 10) in base 13?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*x**4 + 14626281*x**3\/2 - 2228398468452*x**2 - 23398491985707*x\/2 - 14484839606679 = 0. What is x?\nAnswer: -13\/4, -2, 609431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 911 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/56 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 623194835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven quarters of a millennium?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, t: 5, p: 3}. Give prob of sequence st.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1765 is divided by 45?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o**2 - 11*o - 82. Let a(j) = 6*j**2 - 11*j - 72. What is 8*a(n) - 7*d(n)?\nAnswer: -n**2 - 11*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4172028?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 4139, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5, 12, 33, 74, 141, 240, 377?\n\"Answer: l**3 + l**2 - 3*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 1. Suppose -3*n + 5*g = -10, 2 = -5*n - 4*g - 6. Let m = 3 - n. What is c(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 51*p**4 + 0*p + 2 - 8*p**3 + 7*p + 50*p**4 as v*p + k*p**2 + q*p**4 + x + s*p**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b**5 - 76*b**4\/3 - 88*b**3\/3 - 16*b**2\/3.\nAnswer: -2*b**2*(b + 2)**2*(9*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*p**2 - 6*p**2 + 0*p**2)*(-2 + 0 + 3) + 5*p + p**2 - 5*p)*(-1339*p + 4*p**2 + 25 + 69 + 1341*p + (-2*p + 4*p - p)*(-3*p + 6*p - p)).\nAnswer: -12*p**4 - 4*p**3 - 188*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/5*115070\/(-1244).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = -5*x + 9*x + p, -2*x + 2*p + 32 = 0. Suppose -3*s - 4*c + x = 0, -2*s = 3*c - 4*c - 4. Let t be 4 + -3 - -3 - 0. Solve 0 = s*n + n - t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (24 + -15 - -16).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 13.09, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*j + 4*g = -10, 0 = 5*g - 25. Suppose -j - 6 = -4*x - 4*u, 3*x - 12 = -4*u. Solve 4*c = 5*z, x*z + 4*z = -2*c - 26 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 17*n - 2. Let o(u) = u + 1. Let p(k) = -5*o(k) + w(k). Let f be p(6). Let z(v) = -v + f - 65. Calculate z(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*a + 328 - 346. Put 4, -8, a, -85 in ascending order.\nAnswer: -85, -8, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 71, -5, 460?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4628)\/234 - -20)*(-9)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64156505*c**4 - 73255929*c**2 wrt c.\nAnswer: -1539756120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, k: 2}. Give prob of picking 3 u.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 15*o**2 + 12*o - 22. Calculate g(-16).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 138 + 14. Let j = -16 + s. Is 31 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, n: 2, w: 3, t: 2, j: 3, g: 3}. Give prob of picking 1 y and 3 j.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -111110 (base 2) to base 15\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f + 11*f + 6*f.\nAnswer: 19*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)\/(s\/((s**(-5)\/s)\/s)))\/(s**(2\/3)\/s*s*s\/(s**(-6)*s)) assuming s is positive.\nAnswer: s**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199206?\nAnswer: 2, 3, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 6*l - 8. Suppose -2*y + 6*y = 24. Let f be h(y). Is 2 a factor of ((-6)\/f)\/((-5)\/(-40))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -36\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -14*z + 11. Let m(d) = -5*d + 4. Let b(c) = -4*f(c) + 11*m(c). Let s(j) = -75 - 74 + 150. Let k be (-6 + 5)\/(2\/2). Determine k*s(u) + b(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8*v**2 + 5. Let j(s) = 7*s**2 - 4. Suppose -2*m - 3*m - 30 = 0. Determine m*j(p) - 5*f(p).\nAnswer: -2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 113377 (base 8) to base 13\nAnswer: 14796","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by -31\nAnswer: -39\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*k = -2*y, 6 = -2*k. Let s(q) = -q**3 - 2*q**2 + 1. What is s(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 - 82*n + 2. Let o(b) = -b + 45*b - 20*b - 21*b. Calculate o(z(f)).\nAnswer: 6*f**2 - 246*f + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 53296.62 millilitres in litres?\nAnswer: 53.29662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 422*d = 413*d + 54. What is the greatest common factor of 55632 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-4))\/(2\/60). Let j = 8 + -12. Let o = -1 - j. Solve 0*d - o*z + 19 = -2*d, b = 3*z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2089 - -2101. What is the greatest common divisor of 3282 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 21 = 2*w, -3*w + 262 = 271. Suppose 5*c + 21 = -14. Sort c, -10, q in decreasing order.\nAnswer: q, c, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 13*i + 104 = -4*b, 32 = 12583*b - 12588*b + 5*i - 23 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 212372?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/2 - 225*b\/2 + 24053.\nAnswer: -(b - 134)*(b + 359)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/375102 and 35\/2519.\nAnswer: 4126122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 - 433758804.55?\nAnswer: -433758765.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69401536, 69401535, 69401534, 69401533, 69401532, 69401531?\nAnswer: 69401530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/(-70))\/(100\/(-1050)). Determine p, given that -2\/5*p + 0 + u*p**2 = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7081, 14193, 21311, 28435, 35565?\nAnswer: 42701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 + 4*u - 1. Suppose 14 = -6*i - 4. Let o be s(i). Solve h = o - 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/(-15) - 113\/(1130\/(-972)) - (-2 + 9)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - y - 8, -5 = 5*w - 4*y - 7. Suppose -4*g - 3*d = -w*d - 26, -4*d = g - 14. Is 6 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 + 518\nAnswer: 516.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/47 - 59\/282. Let s = -0.8 + -0.2. Let n = 176.7 + -177. Which is the nearest to s? (a) r (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -562039, -1123970, -1685909, -2247856?\nAnswer: -2809811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66.4927 - -2.4927. Which is the nearest to -0.2? (a) 1 (b) -2\/13 (c) t (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 0 - 1\/6*r**4 + 5*r**2 + 0*r**3 + 0*r + 1\/60*r**5. Give i(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f - 2. Let p(i) = -i. What is -o(h) - p(h)?\nAnswer: -6*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 300164 (base 7) in base 3?\nAnswer: 2120021222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/15, 3131, 1\/2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 9*m**5 + 190*m + 179. Differentiate t(z) with respect to z.\nAnswer: 180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 49878690 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-18)*(9\/5)\/(-3)*14\/42.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/11368 and -139\/1176?\nAnswer: 34104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 8:18 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2894*l + 2577 wrt l?\nAnswer: 2894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 855606506 to the power of 1\/2, to the nearest integer?\nAnswer: 29251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (3 + -1) - -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 13*f**3 - 23*f**2 + 7*f + 3. Let c(u) = 7*u**3 - 12*u**2 + 3*u + 2. Let j(v) = -11*c(v) + 6*m(v). Factor j(p).\nAnswer: (p - 4)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = q - 125*w + 127*w, 4*w + 90 = 27*q - 21 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 323648.6 kilometers in micrometers?\nAnswer: 323648600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (35 + 1206\/(-30))*(-1 + (-371)\/14)\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, p: 2, z: 4, r: 4, q: 3, k: 1}. Give prob of sequence kq.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 (base 8) in base 16?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -4*x - 12*i + 916, -4*x + 919 = i. Is x equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: Find the second derivative of 273799822*f*n**2 - 29*f*n + 306616*f wrt n.\nAnswer: 547599644*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1263 * -43\nAnswer: -54309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -4. Factor 92*o**3 + z*o**4 + 16*o - 2*o**4 - 80*o**2 + o**4 - 29*o**4.\nAnswer: -4*o*(o - 2)*(o - 1)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18752, -18757, -18762?\nAnswer: -18767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of 7*p**5\/5 - 71*p**4\/4 - 2*p. Find the third derivative of q(n) wrt n.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**2 + 24*d - 16 + 22 - 11.\nAnswer: -3*d**2 + 24*d - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.4 + -0.4. Suppose 4*b - 10 = -2. What is the second smallest value in b, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-1 + sqrt(567) + 1 + (1*(-1*sqrt(567) - sqrt(567) - sqrt(567)) - sqrt(567)))**2 - (-5 + ((sqrt(168)\/sqrt(4))\/sqrt(6))**2 + 0)) + 3.\nAnswer: 5099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j - 21. Let w(x) = 8*x + 40. Let g(n) = 5*d(n) + 2*w(n). Let l be g(-14). Find the third derivative of 11 + 13 - 24 - 21*p**3 - l*p**2 wrt p.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 1212.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 236 and 192104?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -14\/5, 36552, 0.2 in decreasing order.\nAnswer: 36552, 0.2, -1\/5, -14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.21, -8, -3\/7, -6, 10.\nAnswer: -8, -6, -3\/7, -0.21, 0.4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 209 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n = 64025 - 64265. Solve -2*v - 31 = 5*a, -11*a + n*a + 34 = -3*v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, -30, -1837, 3, 0.0343?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 160\/14 + 8\/(-28)*-2. Let c(n) = 29*n - 8. Let a be c(4). Calculate the highest common factor of a and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**3 + 14046*g**2 - 2561124*g + 119126952 = 0.\nAnswer: 94, 4494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5*sqrt(847)*1 + (-1*sqrt(847) - sqrt(847))*-6 - (2 + 0 + sqrt(847) - 2*sqrt(847)*1)))**2*3.\nAnswer: -85536*sqrt(7) + 29638656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 3*l + 15 = 0. Suppose 91 = 5*v + 16. What is the greatest common factor of v and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-144)\/(-69))\/(-16))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 268061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-28) + 2\/(-7). Suppose -5*y - 3*v + 37 = l, -2*v = 4*y - 4 - 26. Solve 1 = 3*q - y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*(sqrt(567) + 1) - -5*sqrt(567)*2)**2 + (sqrt(567)*1)**2*-4 + (sqrt(567) - (-3 + 2*sqrt(567)))**2.\nAnswer: 378*sqrt(7) + 79965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2*u. What is the third derivative of -3*w**2 + w**2 + 2*w**5 + u*w**5 wrt w?\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1210 + -1206 - (-7 + (1 - 0))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/29274960 and 61\/66534?\nAnswer: 29274960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 318\/66 - (-8)\/44. Sort -3, -14, q in descending order.\nAnswer: q, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 13459732?\nAnswer: -13459730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 683012 a multiple of 473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/6 + (-150)\/18. Does 6 divide (j\/(-10))\/((-4)\/(-110))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*k + 20*k + 116 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378112651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, d: 1, r: 6, j: 2, k: 2, v: 1}. Give prob of picking 1 v, 1 r, and 1 j.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let v be -10 + (-1572)\/(-96) + -6. Factor -j**4 + 3\/4*j**2 + v*j**5 - 7\/8*j + 1\/2*j**3 + 1\/4.\nAnswer: (j - 1)**3*(j + 1)*(3*j - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10128540.6 and 9.\nAnswer: 91156865.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1902213, 3804371, 5706529, 7608687, 9510845?\n\"Answer: 1902158*j + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/120 - (-403)\/3224?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 38*i**2. Let l(q) be the first derivative of 0*q + 0*q**2 - 127 + 5\/3*q**3. Determine l(x(u)).\nAnswer: 7220*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -223 + 399. Calculate the remainder when (-3)\/(-15) - y\/(-20) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 201*r**4 + 2*r**2 + 20*r wrt r.\nAnswer: 4824*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j - 1584 = -1503 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/2096 and 11\/1048.\nAnswer: 2096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/4)*g**(-1\/4)*g)**(2\/81)\/((g**(-1))**(-19))**(-42) assuming g is positive.\nAnswer: g**(21547\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, a: 1, c: 5, w: 6}. What is prob of picking 1 y and 1 w?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -193742 or -193741?\nAnswer: -193742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*j + 14 = 0, 2 + 2 = j. Solve q - 4 = -r, 3 = -5*r + p*q - 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.71\nAnswer: -0.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 19, 4, -13, -32, -53?\n\"Answer: -j**2 - 12*j + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -1. Suppose -74 = -x*t + 55. Suppose -4 = 3*f - t. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 192\/475 - 435019\/3325. Let v = -130 - u. What is the nearest to -0.1 in 3\/2, -1\/9, v?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + 70 - -4 - (-44 - -82 - 30)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/8)\/(1\/(-4)). Suppose -862 = -n*g - 232. Calculate the remainder when g is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 923 = 3*k - 8*k, 958 = s + 2*k. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7986.403*0.2\nAnswer: -1597.2806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + d**2 - d)*(-4 + 2 - 6)*(97 + 51 - 42).\nAnswer: -848*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24\/11 in -3, -2, 0.5, -1\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 72*c**2 - 59*c - 2069. Is o(-32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 6 = 3*l + 2, 0 = 4*l + 5*x - 14 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-5\/4)\/y)*y**(-6)*y)\/(y*y**(-2)*y)**(-8) assuming y is positive.\nAnswer: y**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/25873524 and -179\/225522.\nAnswer: 284608764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 4*n + 2*n)*(2*n**2 - 5*n + n**2 + n**2).\nAnswer: 4*n**3 - 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/(-10))\/(28\/(-70)). Suppose -257 - 151 = y*q. Let s = q - -243. List the prime factors of s.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 15, 30, 47, 0.3, -0.5 in descending order.\nAnswer: 47, 30, 15, 0.3, 2\/17, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112880 divided by 4.\nAnswer: 28220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 25 = 5*l - 4683, 3*p = -l + 932. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228653654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2891 = -4*x, 2*x + 3884 = 4*a + 4*x. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -157891 by -6.\nAnswer: 157891\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 152594*d**3 + 3913*d. Let s(l) = -3391*l**3 - 86*l. Give -2*n(q) - 91*s(q).\nAnswer: 3393*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 144*c - 2853. Let y be l(22). What is the highest common factor of 35 and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295*g - 54274 + 229504 = 0. Calculate the greatest common divisor of g and 1350.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 11*f**2 + 14*f**2 + 8*f**2 - 9*f**2. Let r(u) = -8*u**2 + 40*u + 20. Let j(k) = k**2 - 4*k - 2. Let i(x) = 10*j(x) + r(x). What is t(i(m))?\nAnswer: 96*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 26, 0.5 in descending order.\nAnswer: 26, 5, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43403134?\nAnswer: 2, 101, 214867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 14 = -4*w, w - 3*i - 2 = 5*w. Let k = w + 10. Suppose -9 = k*c - 11*c. Solve 2*v - 5*h = 0, -6*v + v = c*h for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*10\/(-400)*4.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 4. Let t be m(9). Suppose 7 = -5*p + 5*v + 32, -5*v + t = 0. Let g = 72 - 42. What is the greatest common divisor of g and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 651639075?\nAnswer: 3, 5, 8688521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 7*y**2 + 8*y + 2. Let o be f(8). Suppose 320*z = 323*z - 4*m - 41, 5*z - 45 = -5*m. Solve -z = o*b - 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114 - -122. Suppose -2*o - 4*g = 0, 3*o - n*g - 40 = -4*g. What is the greatest common factor of 104 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-3) - (-39331)\/(-111). Round d to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2234*i**3 + 12259*i - 19608*i + 35*i**2 - 35*i**2 wrt i?\nAnswer: -13404*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 4*j)*(-2*j**4 + 3*j**4 - 15*j**2 + 9*j**2).\nAnswer: 4*j**5 - 24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2ea + -223a?\nAnswer: -2535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h + 504 = -26*h. Let b be 3\/4 + -1 - 882\/h. Suppose 5*q + c = -37 + 7, q = c - b. Let p(g) = g + 10. Give p(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -10*f - 2*f. Let i be (-10)\/35 - 5\/f*2. What is the biggest value in 0.2, 1, 42, i?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*b - 12*b**2 + 10*b)*(5*b - 5*b + b) + 4*b**3 + 0*b + 0*b + (-2*b - 4*b + 4*b)*(b**2 + 5*b**2 + b**2).\nAnswer: -22*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 11*c**2 - 17*c + 6. Let b(g) = -12*g**2 + 18*g - 7. Let f(u) = -3*b(u) - 4*r(u). Let y be f(6). Let a = y - -376. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 28903.\nAnswer: -5\/28903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3381929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6594*y**4 + 8601*y**2 - 5*y + 15. Let q(i) = 3297*i**4 - 4301*i**2 + 2*i - 6. Let b(m) = -2*g(m) - 5*q(m). Find the third derivative of b(v) wrt v.\nAnswer: -79128*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -428929 or -428928?\nAnswer: -428929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12 is divided by 240\/32 - 1\/(6\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t*t**2))\/t)**(4\/11))**(-15\/4)*(t**(2\/3))**(23\/2)\/((t*t**5)\/(t*t\/t**(5\/6))) assuming t is positive.\nAnswer: t**(547\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -89*k**2. Let r(y) = 1657*y. Calculate l(r(u)).\nAnswer: -244362761*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is eight sevenths of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - b - 2*b)*(5*b**4 + 0 + 0) + 5*b**5 + 0*b + 0*b.\nAnswer: 10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (31*a + 2 + 7*a - 33*a)*(-a + 5*a - 3*a + 1 - 1 + a + (-a - a + a)*(-5 + 3 + 4) + 2*a + 0 + 0) in the form l*a**2 + u*a + y and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzdididd. What is prob of sequence xd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 5*d - 2. Let g be j(-3). Let x(v) = 9*v + 10*v - g*v - 2*v. Is x(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114422656 to the nearest integer?\nAnswer: 10697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*b + 4*m = -40, -5*m + 22 = 4*b. Let z(c) = c**2 - 10*c + 7. Let w be z(9). Let t = b - w. Calculate the remainder when 48 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1069 and -802111295.764.\nAnswer: -802111295.8709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*a = 62*a - 408 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 52932101?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 4:15 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and -425.2.\nAnswer: -4.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 17*y - 32. Determine k(13).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-88)\/(-3)*(-7)\/(672\/(-881640)). Round i to the nearest 1000.\nAnswer: 269000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1707, -204751, 0 in increasing order.\nAnswer: -204751, -1707, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2\/11*d**3 + 40\/11*d**2 + 4 - 86\/11*d = 0.\nAnswer: -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/9 - 356*y\/9 - 847\/3.\nAnswer: (y - 363)*(y + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 622 = 208. Let a be (-6*24)\/(-4) + 3. Suppose 5*j - r = a. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101001 (base 2) to base 14\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2467 + -5?\nAnswer: -2473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r + 4 + r + 8*r - 2*r - 274*r**2. Let b be s(-2). What is b rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 318\/(-106)*602\/42\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -554 (b) -77\/6 (c) -5 (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -14.7, -5, -2\/35.\nAnswer: -14.7, -5, -4, -3, -2\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 7. Let g(a) = a**3 - 7*a**2 + 9*a + 10. Let p be g(5). Let b be 11\/(-2) - p\/10. Give v(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4164004*x**3 + 580540356*x**2.\nAnswer: -24984024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g. Let a(z) = -362*z + 5. Let u(d) = 903*d - 12. Let t(k) = -12*a(k) - 5*u(k). Calculate t(v(l)).\nAnswer: 1197*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -34, 2, 6, 18 in decreasing order.\nAnswer: 18, 6, 2, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 624, 330, -298, -1374, -3012, -5326, -8430?\nAnswer: -12438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*a + 2)*(-4 + 4 + 3*a)*(2*a - 10 + 10).\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/9 (b) 3\/323 (c) 1\/4 (d) -5 (e) 4 (f) 1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 840 and 882.\nAnswer: 17640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -11. Let t(z) = z - 35. Let f(p) = 11*h(p) - 4*t(p). Let b(n) = -8*n. What is f(b(j))?\nAnswer: 32*j + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.08, 4, -13 in descending order.\nAnswer: 4, 0, -0.08, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -u + 1839, 0 = 2*i - 3*u - 199 - 540. Is i a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -454*d + 13*d**5 + 454*d - 10*d**2 wrt d?\nAnswer: 780*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/91 (b) -0.1 (c) 0.1 (d) -22.006 (e) 55 (f) -3\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-20) - 1500\/16. Let x = g + 97. Solve -4 = -5*f + 4*b, 2*f - x = f + 3*b for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -815, -1638, -2461, -3284, -4107, -4930?\n\"Answer: -823*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1106.432299 to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 10*y**2 - 25*y - 8. Let f be g(-12). Suppose -3*b + 6 = 2*z + 1, -b - 3*z = 10. Put 2, -1, b, f in increasing order.\nAnswer: -1, 2, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (-3)\/(6\/(-40)). Let l = b + 35. Let z(t) = -t**2 + 5*t + 1. What is the remainder when l is divided by z(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.4299, 3, -1\/4, 0.003, -0.3?\nAnswer: -0.4299","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -1. Let r = -19.15 - -19. Let h = 0.15 - r. Sort s, h, 1\/4 in increasing order.\nAnswer: 1\/4, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/5 + (-12)\/(-5)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**5\/20 + 5*v**4\/12 + v**3\/6 - 3*v**2\/2 + 52*v. Let u be g(3). Solve -u - 4*z + z**2 - 6*z**2 - 11*z + 8 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3482.\nAnswer: 2, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40129 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 4*q**2 - 5*q - 2. Let t be x(-3). Suppose 0 = -t*h + 16, -l + 780 = 3*l + h. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 + 48.7. Let v = 7.8 + -7. Let m = v + 0.2. Which is the nearest to w? (a) 4 (b) m (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 102\/221*2\/6. Let l be 6 + (-78)\/(-36)*-3. What is the third smallest value in 0, h, 22, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, 3 in descending order.\nAnswer: 6, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -117*s**3 + 1. Let x(h) = -h**3 - h + 1. Let i(b) = -t(b) + x(b). Let c be i(1). Let d = c + -48. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101363, -8, 20 in descending order.\nAnswer: 101363, 20, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-117)\/130)\/((-198)\/(-6600))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75370 - -114767. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 87989183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 + 2*w**4 - 4*w**5 + 2*w**5 + (-4 + 4 - w**3)*(-10*w**2 + 12*w**2 + 9*w**2).\nAnswer: -13*w**5 + w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2457 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32624 by -394.\nAnswer: -16312\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*z = 57, 2*j + 3*z - 12 = 11. What is the second derivative of -2*f**4 - 4*f**4 - j*f**4 + 45*f - 29*f wrt f?\nAnswer: -264*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o. Let i be d(2). Let l = i + -2. Solve 8 = 4*x - l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 947 = 73*n - 1285 + 3838 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 333 - 190?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.59 + 0.105. Round q to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**2 + 2*b - 2. Let h(x) be the third derivative of -4*x**5\/15 - 11*x**4\/24 + 5*x**3\/3 - x**2 + 30*x. Determine -2*h(d) - 11*t(d).\nAnswer: -d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 8*v**2 - 3*v - 8. Let z be n(-7). Let a be 0 - (1 - 0) - (-15 - -23). Let t = a + z. List the prime factors of t.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9a8 + -555?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*k + 98 = -0*x, -k - 30 = -x. Suppose x + 71 = h. Calculate the remainder when h is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*16067.4\nAnswer: 48202.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 144. Let s = u + -116. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 422028, 844381, 1266734, 1689087, 2111440, 2533793?\nAnswer: 2956146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/87, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - m + 21. Let z be h(0). Suppose 1333*x = 1320*x + 91. Calculate the highest common factor of x and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-14)\/6)\/(2\/12). Let b = -10 - u. Let s(t) = -3*t + 27. Let l be s(8). Solve -2*c + 3*w = b, 0 = -2*c - l*c - w + 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6 + 2 - 12*i + i**2 + 0*i - 2. What is the units digit of n(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 9*k**2 - 4. Let r be c(9). Sort -2, -1, r in decreasing order.\nAnswer: -1, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrjjjjjrjjjjrrjjjjjr. Give prob of picking 1 j and 1 r.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 divided by 1?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 792 and 2466.\nAnswer: 108504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c - 363 = -5 + 82 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26658 is divided by 459?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.0934?\nAnswer: 0.0467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*h = 79*h + 100 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 638 = -302*d + 331*d. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*s - 1. Suppose 2*d = 5*d - 24. Let c be ((-2)\/d)\/((-28)\/(-32)). Which is bigger: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**2 - 31220970*o - 62441952 = 0 for o.\nAnswer: -2, 10406992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = z - 5. Let n(c) = 3*c + 2*c**3 - c**3 + 7 - c**z + 6*c**2. Let s(h) = h + 2. Let l be s(-7). Calculate n(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c**3 - 1176*c**2 - 2291*c + 115322767 wrt c.\nAnswer: -9*c**2 - 2352*c - 2291","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 811 = -251. Suppose 4*q = -q - 5, -a + 12 = 3*q. What is the remainder when g is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g**2 + 2. Let o(b) = 11*b**2 - 5. Give -6*o(y) - 13*u(y).\nAnswer: -y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1927474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 231\/(-9)*93\/12369*114?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 642 = -43*h - 161 - 1985 for h.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 2*f + 9*y - 5*y = 157, 12*y - 10*y = 76 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01553 - 0.02553. Sort -14.7, 1\/4, w in descending order.\nAnswer: 1\/4, w, -14.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12353720 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -959.4 + 959. Which is the closest to 0.1? (a) 5 (b) 5\/4 (c) -2 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 14 = -0*s + 5*x, 5*s - x - 26 = 0. Let i(c) = -25*c**3 - 2*c - 2. Let j be i(-1). Let u be (s\/3 - -102)*j. Round u to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111111110010001111 + -10101001?\nAnswer: -111111111110100111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6704 = 182*z - 190*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-16))\/((-192)\/1536)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -301, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*l = 122*l - 96. Let y be (102\/(-6) + 3)*(-2)\/(-4). Put 1, l, y, -10 in ascending order.\nAnswer: -10, y, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*q - 1\/6*q**4 - 1\/2*q**2 - 2\/3*q**3 + 2\/3 = 0. What is q?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 658462.5 rounded to the nearest 10000?\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 10*z + 30. Let c(n) = n + 6 - 6. Let m(h) = 2544 - 1267 - 1277 + 4*h. Calculate z*c(d) + m(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 91*p**3 + p**2 - 2*p - 3. Let m = -29 - -27. Let h be q(m). Let b = h - -2963\/4. What is the common denominator of b and -45\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-19)\/10 - -2)\/1. What is the closest to 0.4 in -3, f, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 2:27 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 19\/(-38) + 1\/2. Solve -17 = 4*q - i*q + 5*o, -3*q + 31 = -5*o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/25, 117\/2, -1\/6, -0.5732 in ascending order.\nAnswer: -0.5732, -1\/6, -2\/25, 117\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -1. Let j be (10\/(-24))\/(10\/8*-2). Which is the second biggest value? (a) m (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699 a factor of 469165305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4560255 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 9211*v + 214. Let q be n(19). Suppose -4*c - 3*m - 292006 = 0, 116779 = -4*c - m - q. Round c to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -5*g + 448, 3*r - g + 458 = 122. What is the lowest common multiple of r\/(-11) - 4\/22 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19562 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbzzzbbzzzzzbzzzzz. What is prob of sequence zzbz?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1073533310 + -3.89?\nAnswer: -1073533313.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4.691, -2\/5, 1.997 in decreasing order.\nAnswer: 4.691, 1.997, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/41 + 50\/123. Let u = -182.93 - 18.87. Let k = 202 + u. Which is the nearest to -2\/7? (a) -0.3 (b) l (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2) + sqrt(2) + ((sqrt(2) - sqrt(4)\/sqrt(2))**2 - sqrt(2))*-6 - sqrt(90)\/sqrt(5)).\nAnswer: 2 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41458987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -20031113313 (base 4) in base 10?\nAnswer: -2151927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 + 5*n + 5. What is x(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, 3, -4, -0.02 in increasing order.\nAnswer: -4, -0.02, 3, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -412173266200897 - -2.\nAnswer: -412173266200895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20214 and 1242.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1235 - 175 + 16*j**3 + 698 - 21*j**3.\nAnswer: -5*j**3 + 1758","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -105343 + -26063?\nAnswer: -134436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 5, -5*m + 4*k + 117 - 3 = 0. Calculate the remainder when 919 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3234662033.\nAnswer: 3234662033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -435\/2 - 753\/2*v**3 - 2280*v**2 - 5451\/4*v - 27\/4*v**5 + 423\/2*v**4 = 0. What is v?\nAnswer: -2, -1\/3, 5, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-187)\/(-85) - (-46)\/(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m**2 - 5*m - 2. Let k be y(-4). What is the second derivative of 26 - 14 - 12 + 41*p + k*p**5 wrt p?\nAnswer: 1640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14641033 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 212, 1705, 5726, 13529, 26368?\n\"Answer: 209*m**3 + 10*m**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 387.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 17 + -47 + 1\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 199117*d - 249958.\nAnswer: 199117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)*-5 - ((2 + sqrt(1872))**2 - sqrt(13)).\nAnswer: -1876 - 57*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 6 - 0 - -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1244624.\nAnswer: 1\/1244624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2890 rounded to the nearest 100?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + -36.2. Which is the closest to -4? (a) -1\/3 (b) -4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i + 118. Let l(j) = -94227*j. Calculate r(l(k)).\nAnswer: 376908*k + 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 147*o**5 + 262920*o**4 + 117110460*o**3 - 405199920*o**2 - 260198400*o - 38535168 = 0.\nAnswer: -896, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5207656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.8 + -14.2. Let q = -17.000018 - b. What is q rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 73, 303, 631, 1015, 1413?\n\"Answer: -7*l**3 + 91*l**2 + 6*l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 10*h**2 - 25*h - 8. Let j be l(-12). Suppose 49*c = 41*c - 32. Let n = 0.4 - 2.4. What is the third biggest value in j, n, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -386187 to the nearest one hundred.\nAnswer: -386200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*l - 36 = 0. Let a be l\/10 - (-32)\/40. Sort a, -2, 4 in descending order.\nAnswer: 4, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-12))\/((-12)\/60)*8.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 3, -2\/21, 4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 20 - (-5 - 78) - -3 - 17.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50982636.\nAnswer: 2, 3, 4248553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63992.58l to millilitres.\nAnswer: 63992580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - (-2 - -2 - -2). What is the tens digit of 187\/j + 2\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z + 174. Let a be w(-29). Sort -35, a, 7 in descending order.\nAnswer: 7, a, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*l + 187 = -8 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 34*g**2 + 300*g + 11712. Determine s(-35).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 1 + -1 - (-11 - 14).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.725721cm in kilometers?\nAnswer: 0.00009725721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 211961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/768 and -37\/6464?\nAnswer: 77568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*z**2 + 24*z**3 - 22*z**2.\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-12*(-135)\/(-108))?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 29*v + 2. Let t(q) = 7*q + 20. Let r(l) = 4*l + 12. Let u(g) = -5*r(g) + 3*t(g). Determine u(y(p)).\nAnswer: 29*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18351891 and 34561?\nAnswer: 18351891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jgvgeemeeegeegejeee. What is prob of sequence mvm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-6) + -14)\/((-13)\/(-1))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -135 - -174. What is the tens digit of (-2 - r)*(2 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-219)\/(-730) - (-1558)\/(-760).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 + 43. Let t(q) = -q + 6. Let z be t(9). Put z, f, 2 in decreasing order.\nAnswer: f, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/3)*a**10*(a**12\/a)\/a**(-3\/10) assuming a is positive.\nAnswer: a**(629\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 8. Let s be l(10). Let i(f) = 2*f**4 - 13*f**3 - f**2 + 13*f - 6. Let y(m) = -m**3 - m**2 + m. Let v(x) = s*i(x) - 10*y(x). Factor v(z).\nAnswer: 4*(z - 3)*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-112)\/(-392)*(126\/5)\/6.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 3*m + 48. What is a(13)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00977425819 rounded to 7 decimal places?\nAnswer: -0.0097743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + (-2 - (3 - 2)). Solve 3 = r*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 10 = -3*c + 7*c, c + 2 = l. Suppose c = 4*t - 5*t. Let f(z) = 2*z + 307. Is f(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -682 and -683 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5634057 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**5 + 3*i**5 + 3*i**5)*(2 - 4 + 4) + i**5 - i**5 + i**5 + 6*i**4 - i**5 - 5*i**4 + 3*i**5.\nAnswer: 5*i**5 + i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.531 and -82993550?\nAnswer: 82993549.469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.613018 + 3335604.\nAnswer: 3335604.613018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12\/5 in -99, 1\/2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51*3962\/115464 - 118\/6*(-3)\/(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/2 + (-15)\/10. Suppose 0 = 3*b + 12, -5*r + 8 = b + 2*b. Suppose -9*h + r*h + 30 = 0. Put -3, a, h in ascending order.\nAnswer: -3, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -5*r - 4*s, 0 = -31*r + 27*r - 3*s + 76. Solve -r*o - 138 = -62 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**3 - 5*o**2 + 5. Let x(w) = 10*w**3 + 12*w**2 - 12. Give 12*r(d) + 5*x(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -71956 or -71820?\nAnswer: -71820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 8*r - 36. Is t(-17) 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 4:36 PM and 2:17 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - -776b75?\nAnswer: 776b7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 2*m - m)*(-2*m**4 - m**4 + 2*m**4) - 7*m**4 - 6*m**5 + 9*m**4 - 5*m**5.\nAnswer: -10*m**5 + 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -276, -272, -256, -222, -164, -76, 48?\n\"Answer: i**3 - 3*i - 274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/167465?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f. Let x(r) = r. Let z(j) = -q(j) + x(j). Let u be 3\/(-2)*16\/(-12). Let l(n) = 0 + 0 - n**u. Determine z(l(h)).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 73*f - 6565. Let l(n) = -15*n - 4. Give g(w) + 5*l(w).\nAnswer: -2*w - 6585","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, t: 2, l: 1, v: 6, f: 4}. Give prob of sequence lfv.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3008 - 149. What are the prime factors of a?\nAnswer: 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*j + 106291 - 98691 = 0 for j.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 156934930 rounded to the nearest 100000?\nAnswer: 156900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(3\/(-4))*(-546)\/(-455)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -26\/49, 6, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41c (base 13) to base 11.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + -37 + -41 + 63.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 56*g + 123. Let m(q) = 123*q + 243. Let t(u) = 13*h(u) - 6*m(u). Give t(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sssd when four letters picked without replacement from {s: 8, d: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 + (4 - 0) + 152549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/6 - (4 + 3710\/(-12)) is divided by (2 + 17 + -2)\/1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*r + 4 = 0, 135*l - 4 = 138*l + 5*r. Put 12, l, -3 in decreasing order.\nAnswer: 12, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45913\/2 - 22955. Let j(l) be the second derivative of 3\/2*l**3 - 32*l + i*l**2 - 3\/10*l**6 + 1\/2*l**4 - 1\/14*l**7 + 0 - 3\/10*l**5. Factor j(c).\nAnswer: -3*(c - 1)*(c + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3656 - 4786 = 74*n + 328*n for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 7*q**2 + 14*q - 11. Suppose -5*m + k = -27, 3*m - 21*k + 23*k = 11. What is g(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22145 + -22210. Sort -1, x, 7, -2 in decreasing order.\nAnswer: 7, -1, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20851 is divided by 5209?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 174155.6 grams in milligrams?\nAnswer: 174155600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d = 3*n - 2*d - 72, -n - 14 = -3*d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 883995 = 2*i, -3*i + z + z + 1325990 = 0. What is i rounded to the nearest ten thousand?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -0.051963, 1\/2, 4, 0.2 in ascending order.\nAnswer: -5, -4, -0.051963, 0.2, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 5*c - 212 - 223, 3*o = -2*c + 241. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/87 and -105\/290464.\nAnswer: 871392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 944451584?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-468)\/58 + (-12)\/(-174) - -12. Sort -22, g, 16 in descending order.\nAnswer: 16, g, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 375*l + 450. Let a(k) = -2*k + 18. Determine -175*a(x) + 7*y(x).\nAnswer: 2975*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 20. What is the units digit of v\/(-3)*(5 + -47)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 119 + -32. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 173*s**3 - 17*s**2 + 17. Let o(y) = -29*y**3 + 3*y**2 - 3. Determine -6*j(t) - 34*o(t).\nAnswer: -52*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49404.0946 + -49356.1. Let y = p + -48. What is y rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vno when three letters picked without replacement from ownvooowvm?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1859577 a multiple of 411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 43?\nAnswer: 8\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 87557801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzzhzzzzzzzzzzzzzzz?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a day in minutes?\nAnswer: 9792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*c = 13, 6 = 3*u - 5*c - 4. Suppose h + 3 = 4*x, 5*x = 7*x - u*h + 21. Solve 0 = -0*m + m + v, -v - x = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**2 + 13*c. Let p(j) = -j**2 + 3*j. Let s(b) = 26*p(b) - 6*u(b). Let d(h) be the second derivative of -h**4\/6 - 14*h. Give d(s(r)).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 11*p - 3*p + 7*p to o + m*p and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -313204502390?\nAnswer: -313204502389.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 11:33 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3521320 to the nearest one hundred thousand.\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3) - 34\/8. Let w = 11627 + -69787\/6. Let o = l - w. Is -7 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -657, -2711, -4765, -6819, -8873, -10927?\n\"Answer: -2054*y + 1397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 28*j + 21. Let l(u) = -49*u - 41. Give -3*l(h) - 5*q(h).\nAnswer: 7*h + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 m when four letters picked without replacement from {w: 2, m: 3}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26403590893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - -2 - (-221 - -8). Let q = k - 78. Let v be q - ((-3)\/1 + 3). What is v rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42\/12*(2 - 4). Let d(w) = -100895*w + 11. Let i be d(r). Suppose m - 773718 = -2*p + i, -6 = 2*p. Round m to the nearest 100000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 383.7446t to grams.\nAnswer: 383744600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -619 + 663. Suppose -3*a + 227 + 64 = 0. Let y = t + a. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 1407?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1 + sqrt(637) - sqrt(637)) + -3 - (sqrt(143)*2*6)\/(2*(sqrt(11)*-1 + sqrt(11) - sqrt(11))))**2*-1.\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13975*y**4 - 202*y**3 - 13067477*y**2.\nAnswer: 335400*y - 1212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -17*n**2 - 63*n + 2. Let t(o) = 8*o**2 + 27*o - 1. Give -3*g(y) - 7*t(y).\nAnswer: -5*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tllt when four letters picked without replacement from tytylttylyt?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n*y**4 + 42930*n*y**3 + 2*n*y**2 - 992*n*y + 1512*y**2 wrt y.\nAnswer: 48*n*y + 257580*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/15)\/(48\/(-1584)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5639325277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*y, 0 = 3*x + 20*y - 25*y + 48. What is the closest to 1 in -2\/21, -2\/9, x, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-4*(0 + sqrt(684))*2 - (0 + (-2 + (sqrt(684) - (sqrt(684) + 1)) - ((1*sqrt(684) - sqrt(684)) + -5 - sqrt(684))**2))) + 1.\nAnswer: -84*sqrt(19) + 713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and 0.294?\nAnswer: 0.02352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 14) in base 12?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 200971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.794005us in nanoseconds?\nAnswer: 5794.005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4701672053?\nAnswer: 13, 361667081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 95 and 25.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*y - 4*y + 3*y)*(-2 + 1 + 3) - 14*y + 11 - 11)*(0*y - 2*y - y).\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 594 and 6441.\nAnswer: 1275318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (130\/35)\/((-2)\/(-7)). What is the lowest common multiple of 4 + -3 + a\/1 and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -520\/1553 + 191186759\/23295. Let c = k + -8210. Calculate the common denominator of 65\/4 and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 25. Let t = m - 3. Let o be ((-2)\/t)\/(3\/(-18)). Solve -5*g - o + 13 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or -22?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -2*l, 2*y - 38 + 22 = -2*l. Solve -4*r - 5*h - y = -6*h, -16 = -4*h for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**2 - 5*u**2 + 5*u**2 + (-5 + 5 + 5*u)*(5*u + 2*u - 5*u).\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007053264 to 5 dps.\nAnswer: -0.00705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -148.2 - -145. Let l = t + 3.3. Which is the fourth biggest value? (a) -0.1 (b) l (c) -0.04 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13533 + 13555. Calculate the greatest common divisor of b and 518.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 1\/(1\/(-6)*2). What is the greatest common factor of z and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - (-220)\/40)\/(1\/(-6)). Let h(r) = 10*r**3 + 3*r**2 + 4*r + 3. Let l(y) = 19*y**3 + 5*y**2 + 7*y + 5. What is z*l(b) + 5*h(b)?\nAnswer: -7*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(171) + 3 + (sqrt(171)*-2 - sqrt(171)) + 1 + -5 + -3*(0 + sqrt(171))*4)**2.\nAnswer: -168*sqrt(19) + 33520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67 and 2881?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1*(0 - (-4)\/4) - -41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nh when two letters picked without replacement from hyhuhyhhehhynhnuh.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -18117?\nAnswer: -18116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 4*u + 0*u)*(4343*u**4 + 2*u**3 - 4496*u**4 - 13*u**3).\nAnswer: -153*u**5 - 11*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 8:03 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 10:05 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3321079 * 0.3\nAnswer: -996323.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l + 0*l**2 + l**2 + 0 + 6. Let z be p(-4). Suppose -4*c + 7 = -113. Calculate the highest common factor of c and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -454*h**3 + 2*h**2 - 209?\nAnswer: -1362*h**2 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4 + 902*a**3 + 220580*a**2 + 11453632*a + 32400192 = 0. Calculate a.\nAnswer: -92, -3, 638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 26952072.\nAnswer: 53904144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/15)\/((-9)\/(-30)). Suppose 10 = q + w*q. Calculate the remainder when 5 is divided by q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, 663, 1.25, 1\/6?\nAnswer: 1.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362*b + 1750 = 185*b - 2405 + 24941 for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 66*o**2 - 81*o + 6. Is k(7) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -1 + (26 - 14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-6) - (25\/15)\/(-5)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/5 + (-8)\/(-20). Let w be (-7 - -7) + t*2. Suppose 45 = w*d - 63. Is d a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**6\/180 + g**3\/2 - 4*g**2. Let m(o) be the first derivative of b(o). Let y(f) = -9*f**2. Give m(y(v)).\nAnswer: -162*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -32426 + 64854 - 32430 + 31*l. Let g(v) = 5*v**2. What is y(g(r))?\nAnswer: 155*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.55 + -27.35. Let a = m + -0.1. Let r = a - -33.0135. What is r rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + k - 18 = 0, -2*k - 2*k + 22 = -2*i. Let t(d) = d**2 - 5*d + 6. Let o be t(4). Suppose -7*x = -o*x + 10. Put -1, i, 3, x in increasing order.\nAnswer: i, x, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**20*t)\/t**(-3\/8)*t**(-37)*t*t\/(t**(8\/3)\/t) assuming t is positive.\nAnswer: t**(-367\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - 7*l + 2*l + 3 - 3 - 2*l + (-3*l + 3*l - 2*l)*(-4 + 0 + 0) + (-2 + 6 - 1)*(l + 0 + 0).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 + 7?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 1:15 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*v**3 - 25*v**3 - 10*v**2 - 11*v**2 + 19*v**3 to c + t*v**3 + n*v**2 + s*v and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1782783514?\nAnswer: 2, 5011, 177887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v - 53. Let o be a(-20). Let t(m) = -1 - m**2 + 4 + 1 + o*m - 11. Give t(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -104, -103, -102?\n\"Answer: l - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 6*p**2 + p - 4. Suppose 0 = -3*o - 3*g + 24 + 24, -54 = -4*o - 2*g. Let l(s) = 13*s**2 - 4 - 9*s + o*s - 5. Calculate -9*d(c) + 4*l(c).\nAnswer: -2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-4*1\/(-100) - 0). Let r = p + 27. What is the greatest common divisor of 6 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1451, -1448, -1445, -1442, -1439?\n\"Answer: 3*p - 1454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4))**(-10\/3)\/(q**(-3))**10 assuming q is positive.\nAnswer: q**(185\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = 18*g. Suppose g = 4*j - 11 + 3, -31 = -5*a - 3*j. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*m = 52*m + 411. Calculate the remainder when 542 is divided by m.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10144523?\nAnswer: 10144523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10444451 + -1?\nAnswer: -10444452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153431647.\nAnswer: 17, 9025391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -115 + 228 - 113 + 37*a + a**2 in the form t + k*a + d*a**2 and give k.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 1:07 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apwwprwwerpwepagw. What is prob of picking 1 e, 1 r, and 2 a?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2\/15, 51, -1\/51, 4?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 2*v**2 - v**2)*(-4599*v**2 + 3*v + 8903*v**2 - 4588*v**2).\nAnswer: -284*v**4 + 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -6239000 to the nearest one hundred thousand.\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 6*g + 3. Let n be u(-6). Suppose n*l = -0 + 18. What is the lowest common multiple of 4 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 38 = 2. Let h be (3\/s*1)\/1. Which is the nearest to 0? (a) h (b) -2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20, 20, 36, 80, 164, 300, 500, 776?\n\"Answer: 2*y**3 - 4*y**2 - 2*y + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fqfoqfqpdzoz. What is prob of picking 2 o and 1 d?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*j. Let g be 2\/4 + (-3)\/2. Sort j, 0.1, g.\nAnswer: g, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 l when two letters picked without replacement from {x: 1, u: 4, t: 3, d: 2, l: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86.3 - 472.3. Let y = p + 384.462. Round y to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 346348 = -2*p, 3*p - 362700 - 156780 = -3*j. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t + t + 0*t)*(-24 + 24 + 13*t**4) + (-t**3 - 2*t + 2*t)*(-19*t**2 + 8*t**2 + 9*t**2).\nAnswer: -37*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 295548?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 4*z**2 + 3*z - 6. Let o be t(4). Let h be o\/3 - (1 - 2). Let c = 10 - h. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -0*v - 10. Suppose -3*p - 354 = -v*b, -b + 26 = 5*p - 28. What are the prime factors of b?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16176216*y**2 - 15272578*y wrt y.\nAnswer: -32352432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189399681?\nAnswer: 3, 7014803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/12*-2*33\/22?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94*j**2 + 36371*j - 36371*j - 68*j**4 wrt j?\nAnswer: -1632*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/6)\/x*x)\/x**18 assuming x is positive.\nAnswer: x**(-103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61099a5 (base 11) to base 8.\nAnswer: 51154620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*t**3 + 6*t**2 + 2*t = 0.\nAnswer: -1\/7, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**2 + z**2 + 3*z**2 + (0*z**2 - 2*z**2 + z**2)*(1 - 1 + 2) - 23*z**2 - 10*z**2 + 26*z**2.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 140595931612 and 0.1.\nAnswer: 140595931612.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 3*v + 1. Let n be f(0). Let g(l) = 15896*l**3 - 4*l**2 - 3*l + 4. Is g(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 27. Suppose r + 4*h = -0*r + 39, -2*h = -r + p. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15225113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 27\/(27\/36 - 2\/8). Let g(o) = -x*o + 173*o - 55*o - 62*o. Let r(s) = -2*s. Determine g(r(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*o**2 + 30 - 18 - 10.\nAnswer: -165*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/180)\/((-225)\/(-18) - 13).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mzmmmmmmmmmm.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**3 - 5*j**2 + 2 - 84*j + 2*j**3 + 82*j to the form t*j**3 + z + d*j + o*j**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*q + 185*q = 3106 + 4179 - 1615 for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00216781 rounded to four dps?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025845 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/3 + 5308*b**3\/3 + 3521858*b**2 + 9347011132*b\/3 + 3100870943041\/3.\nAnswer: (b + 1327)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 32214.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65*q*x*y - 8*q - 5*x*y + 23*x with respect to y.\nAnswer: -65*q*x - 5*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (14 - (2 + -3) - (-161 - -171))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -46, 2, 4, 456, -5 in descending order.\nAnswer: 456, 4, 2, -1, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g = 5*w + 145, -448 = -4*w - 6*g - 564 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = m - 17. Let f be m\/4*(-2 + -2). Let t be f\/(-24) - (-158)\/6. Calculate the greatest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66769 - 466597\/7. Let u = 112 - f. Which is the third smallest value? (a) 2\/13 (b) u (c) 1\/8 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/7 - 638828*g\/7 + 51012651698\/7.\nAnswer: 2*(g - 159707)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39762, -53558, -76552, -108744, -150134, -200722?\nAnswer: -260508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*d + 57, -3*t = -0*d + 5*d - 114. Suppose 0 = 3*k - t - 3. Calculate the greatest common divisor of k and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = 5*n - 229. Let u(y) = y**3 + y**2 + 3. Let a be u(0). Suppose h + a*m = -3, -8*m = -3*m + 10. Calculate the greatest common divisor of h and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - j - 9, -3*i + 0*i = 5*j + 22. Suppose 0 = -n + 2*n - i. Suppose 0 = 5*d + 3*g - 21, d = -g + n + 4. Solve -h + 0 = d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 288 and 352?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 + -27.52. Let u = w - 0.38. Which is the nearest to u? (a) -4 (b) -1\/8 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1364 and 248?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11\/9 + 80\/63. Let f(o) be the third derivative of 7\/60*o**5 + o**2 + 0 + 1\/120*o**6 + 0*o + 1\/12*o**4 - p*o**7 + 0*o**3. Factor f(s).\nAnswer: -s*(s - 1)*(2*s + 1)*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -168733 and -175753 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 171213 and 2666031?\nAnswer: 18662217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -10, -28, -74, -160, -298?\nAnswer: -500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 30656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2 + 9*u + 51. Let y = 154 + 11. Suppose 7*z = 12*z - y. Calculate the smallest common multiple of p(-3) and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -4 + 6 - (16 + (-7 - -1))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*j**2 - 1997*j**3 + 73*j**2 - 37*j**2 + 2001*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -724725\/10508 - -4809\/71. Let r = 1\/74 - v. What is the common denominator of (-5)\/(-3)*5\/(-6) and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/26 + 10035\/(-585).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58274.8442 to the nearest integer.\nAnswer: -58275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68782475?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3122746 is divided by 1930.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1276.798 to the nearest 10.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -24. Let r(w) = -w**3 + 7*w**2 + 20*w - 9. Let k be r(9). Let z be (-12)\/k*(1 + -4). Solve 3*q + q - 16 = z*f, 2*q + 5*f = -p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 11. Let t be f(0). Suppose t + 4 = 5*l. Let h(y) = 2*y**2 + y - 4*y**2 + y**l + 4*y**2. Calculate h(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9 - 152\/12) + 66\/33.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 5 = 4*t. Suppose 4*v = 4*z + 16, t = -v + 3*z + 6. Solve r + 0*m + 3 = -4*m, -8 = v*m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-5) - 1)\/(4\/(-80)). Suppose 3*a = m + 4. Suppose -90 = 2*g - a*g. What is the highest common factor of 18 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*h = 110*h - 925 - 515 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 226248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 853 = -j - 9, -3*d - 1288 = -j. Let c = 178 - d. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 551864*b**3 + 384804?\nAnswer: 1655592*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.105 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 419.491 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4 less than 4997?\nAnswer: 4991.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -10\/9 (b) -559 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*a + 446*a**2 + 613*a**2 - 72*a + 143*a.\nAnswer: 1059*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*s*s)**(-40)*((s**3*s)\/s)**(-7) assuming s is positive.\nAnswer: s**59","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 492959108 + -2205006079846\/4473. Let y = -2\/639 + w. Find the common denominator of -38\/67 and y.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14613 and 297803198?\nAnswer: 4871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2 + 0 = 0. Calculate the lowest common multiple of (44\/t)\/((-18)\/(-9)) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/18)\/(2\/(-2*2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1*m)**35*(m**(-2\/7)\/m)**(-14) assuming m is positive.\nAnswer: m**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 2 = 22, 4*w - 12 + 56 = -14*b + 110 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26561158 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13334 or 0.2?\nAnswer: 13334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 14874169\nAnswer: -14874168.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wl when two letters picked without replacement from {k: 3, l: 1, d: 1, w: 3, b: 1, t: 2}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -h - 4*h. Suppose -7*u - h = -9*u. Which is the third biggest value? (a) u (b) -1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**5\/30 - 5*r**4\/24 + r**2\/2 + r. Let s(l) be the first derivative of g(l). Find the second derivative of s(z) wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -39359 (base 12) to base 10.\nAnswer: -78261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29577 is divided by 9440.\nAnswer: 1257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -9*s**2 - 275*s + 3190. Calculate f(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9*3\/9 - (-72)\/(-81)*3. Determine x, given that 0*x**3 - 1\/3*x**5 - u*x**4 + 0 + 0*x + 0*x**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + -21. Let d(n) = -n**2 + 13*n - 11. Let t be d(u). Solve 1 = 2*y + t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-18)*(-3)\/(6\/(-16))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from wwjwwwjwjej?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n = 21*n. Suppose n = 2*z - 5*a + 24, 0 = -3*z - 2*a - 26 + 9. Let k(x) = x**3 + 8*x**2 + 6*x + 1. Determine k(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 184\/(-420) - (-8)\/(-60). What is the closest to 1\/2 in -2, c, -2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 + 161*b**2 - 32485*b\/2 + 31837.\nAnswer: (b - 79)*(b - 2)*(b + 403)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -3*c + 4*z, -38 = -5*c - 3*z + 9. Calculate the remainder when 97 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 78 + 66 = 0. Let w = v + -51. Let z = w - -213. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2 + 14*p - 16. Let h be u(-14). Suppose -h = -i - i. What is i rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in ten sevenths of a week?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -61 + p**2 + 3*p - 4*p + 10*p - p. Does 44 divide b(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 10*c + 16. Calculate f(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23.4 + 23.434. Let n = 0.434 - r. What is the closest to 2\/55 in 0.5, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**3 - 10 - 3*r**3 - 4*r**2 + 5*r**3 + 4*r. Is s(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 546\/(-1365)*((-136)\/20)\/((-8)\/10).\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*s = 21, -4*s = 3*f - 2*f - 15. Suppose 12 = 2*o - 5*o. Sort f, -2, 2, o in descending order.\nAnswer: f, 2, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/95 + 3\/19. Suppose 3*m = 3*p - 45, -4*p + 3*m - 5*m = -42. Let q be 20\/p*5\/(-25). What is the closest to 0.1 in x, q, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*t + 267 + 533 = 189 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -8 - -7) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -31, 4\/5, -4\/7?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 4) + 5 + -15 + 8 + 14 - 16?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1626 divided by -813.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 705 and 75241548?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2529639 a multiple of 1322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 2:35 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 226008?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 295 or -25?\nAnswer: 295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 7*i**2 + 3. Let n(r) = -6*r**2 - 2. Let s = 8923 + -8929. Determine s*n(z) - 5*a(z).\nAnswer: z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15717, -18153, -20589, -23025?\nAnswer: -25461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 12 = -18 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -13647, 9, -323 in ascending order.\nAnswer: -13647, -323, -4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -73. Calculate the highest common factor of l and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83*p**4 - 473*p - 2 + 14*p**2 - 4*p**2 + 70*p**4 - 7*p**2 wrt p?\nAnswer: -156*p**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2\/13, -28\/5, -11, -13.\nAnswer: -13, -11, -28\/5, 2\/13, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/((-408)\/(-170))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5}. What is prob of picking 4 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63\/6)\/((-4333)\/(-7428))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 12 - 12 + 2*c. Let k(u) = -13*u**2. What is v(k(q))?\nAnswer: -26*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4755104 rounded to two decimal places?\nAnswer: -1.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - c + 7 = 3*c, -4*a - 4*c = -8. Let r be 1 - (-2 - a)*11. Suppose 5*u = 62 - r. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2342)\/(-5855))\/(2\/5)*4\/((-16)\/100)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s - 1100*s - 847*s - 2714*s - 960*s - 203*s.\nAnswer: -5839*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 82 = 17. Let f = -20 + p. Suppose n + 4*i + f = 44, -20 = -4*i. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2))**(-48)\/(q*q\/(q**(1\/2)\/q*q))**(-4\/13))**(-2\/107) assuming q is positive.\nAnswer: q**(-2508\/1391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*t - 192 = 123*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4708, -4707, -4706, -4705?\n\"Answer: o - 4709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88979 is divided by 1219.\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 417657467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 409578848 divided by 23\nAnswer: 17807776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 147 + -139. Suppose 8 = -4*c, 5*o - 16 = c + 1. Calculate the remainder when (1\/(-2))\/(o\/(-78)) is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s = -19*s - 35 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -3. Let g = 43 - 40. Let k be (o + -2)\/g + 2. Is k greater than 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 3*a**2 + 4*a - 1. Determine b(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 + 1066115*o**3 - 1066110*o**2.\nAnswer: -5*o**2*(o - 213222)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r = 8*r - 13. Let b(j) be the third derivative of j**6\/20 - j**5\/60 + j**3\/6 + 4*j**2. What is b(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p**2 - p**2 + 5*p + 4*p**3 + 3 - 3*p**3. Let n be c(-6). Let g = -19 - n. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {p: 8, d: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/7)\/(77\/(-22) - -4)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 202 + -114?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*k - 33*k = 60. Let c be 6\/k - (-8)\/10. Find s such that 0 + 3\/5*s**5 - 3\/5*s**3 - 3\/5*s**2 + 0*s + c*s**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + b + 7. What is s(-9)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + -28 + 22 + -26 - 20.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -118 by -29.\nAnswer: 118\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 547844\/(-9130) - (-2216)\/459820\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38064 and 234.\nAnswer: 114192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 196 (base 13) to base 2\nAnswer: 100100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/((-21)\/15*-5 + -18 + 13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89855\/3 + -29926. Suppose 0 = -3*q + 6, -58 = -2*m + 4*q - 7*q. Is b >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 8 (b) 1\/2 (c) -10 (d) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 16 - 689*w + 12 - 38 in the form v + k*w and give k.\nAnswer: -689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20020 + 0?\nAnswer: -20020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/1785 and 69\/245?\nAnswer: 12495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -3. Let g = t + -5. Which is the nearest to -1\/4? (a) g (b) 4\/5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 36*n**2 + 300*n + 61. Determine b(43).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**2 - 24*i + 12. What is the lowest common multiple of s(7) and 4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 7*c + 12. Let u be r(5). Let p = -42 + 44. Suppose -p*i + 7 + 5 = 0. Sort u, 4, i in ascending order.\nAnswer: u, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-19)\/57)\/((152\/72)\/19*-1). Factor -2*c**v + 2*c + 5\/2*c**2 - 9\/4 - 1\/4*c**4.\nAnswer: -(c - 1)**2*(c + 1)*(c + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1460)\/(-438)*(-3)\/8?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g + 26*g - 4 = -2*f, 0 = -5*g - 3*f + 20. Sort 3, g, 2, -1087 in descending order.\nAnswer: g, 3, 2, -1087","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/(((-9)\/(-1089))\/1) - -8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 24.9. Let o = -648471.1 + 648475.0000085. Let d = l - o. Round d to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -2*f - 1 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 691061*c + 6219530. Determine f(-9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - b + 15. Let t be x(0). Let g be (-4*(-6)\/4)\/1. Let i = g + 4. Calculate the greatest common factor of i and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = s. What is the third derivative of -73*l**2 - l**6 - 3*l**6 + 79*l**s wrt l?\nAnswer: -480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 8324*r**2 + 59.\nAnswer: 8324*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 32*d**2 - 45*d - 143. Give b(32).\nAnswer: -1583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/24 + -5\/24. Let h = -18 - -14. Let k be (-9)\/h*2\/6. Which is the smallest value? (a) 2\/3 (b) k (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.77 * 1478.41.\nAnswer: 2616.7857","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -578 + 6*k**2 + 7*k + 578 to the form p*k**2 + a + g*k and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*3*((-20)\/75 + 0).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163, -626, -1389, -2446, -3791, -5418, -7321?\nAnswer: -9494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(-1)*(8\/40)\/(((-52)\/20)\/(-13)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 17. Let c be n + 4\/(-1) + 3. Solve -2*q + q - 4 = -3*f, -2*f = c*q - 26 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 6*p**3 + 11 + (-1 + 1 + 3*p**2)*(-4*p + 2*p + 0*p) + 2*p**2 + p**3 - 2*p**2 to the form b*p**2 + t*p + z + l*p**3 and give l.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 8:04 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*w**2 - 188*w**2 - w**3 + 91*w**2.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -1\/840*r**7 - 17*r**2 + 0 - 1\/30*r**5 + 1\/96*r**6 + 1\/24*r**4 + 0*r**3 + 0*r. Let q(l) = 0. What is l?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.7 - -6.8. Let n = -17.48 + u. Let s = n + -0.02. Sort 3, s, -4.\nAnswer: -4, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2052) - sqrt(2052)) + sqrt(2052))\/(6*sqrt(27))*1.\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 630*m**2 - 2*m**3 + 30 - 27*m - 693*m**2 - 4*m**3.\nAnswer: -3*(m + 1)*(m + 10)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*58867.\nAnswer: -235468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w**2 - 48 + 51 - 3*w + w**3 - 2*w**3. Calculate v(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38523293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 6. Let i(l) = -2*l - 13. Let p(q) = 2*q - 12. Let r be p(3). Determine r*i(m) + 13*a(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*q*z**2 + 825866*q*z - 20475814*z**2 wrt q.\nAnswer: -3*z**2 + 825866*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(2*a - 3*a + 0*a) + (-4 + 3 + 5)*(-a + 2*a - 3*a - a + a + 2*a + (2 - 3 - 1)*(-2*a + 0*a + a) - 3 + 3 + a).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 19*w**2 - 10*w. Let h(n) = 22142*n. Give h(j(i)).\nAnswer: 420698*i**2 - 221420*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + (-8 - -8))*2\/12.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 6. Let k(f) = -f**3 + 7*f**2 - 6*f + 3. Let l(s) = s**3 + 6*s**2 + 6. Let t be l(-6). Calculate the remainder when w is divided by k(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2*y = -1, -2*q - 4*y - y + 3 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52412 is divided by 771?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1244b (base 14) to base 10.\nAnswer: -44755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 6. Calculate the least common multiple of 11 and g.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4504*j**4 + 63*j**2 + 10*j + 4 wrt j.\nAnswer: 108096*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 5513.2.\nAnswer: 5512.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z**2 - 2*z - 2. Let f be -1 - (-23 + (-8)\/(-2)). Suppose -4*v = -7*v - f. What are the prime factors of a(v)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -15?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 a factor of 3251364498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22.5 - -22. Let w = -2 - -2.48. Let q = w - -0.12. What is the biggest value in z, q, -3\/8?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*y - 10. Suppose -29 = -5*q - y, q - 5 = 5*a. Suppose a = m - 1, 4 = 5*l - 5*m - 36. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14998514900 rounded to the nearest one million?\nAnswer: -14999000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 10, 4 in ascending order.\nAnswer: 4, 10, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -916 divided by -57\nAnswer: 916\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 21, -1, -1\/45, 12, 63, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 21 = -4*l, -2*j + 2*l + 78 = l. Suppose -4*y + j = 41. Let s(b) = -1560*b**3 + 1. Is s(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k - 130 + 202 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 39. Let s = 23.984 + u. Let f = s - 1.984. Which is the closest to 1\/2? (a) -4 (b) f (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p + 3*p - 2*p + (-3 + 1 + 1)*(-p + 3*p - 4*p) - p - 2*p + 5*p + (-12 + 5 - 9)*(0*p + 3*p - 5*p).\nAnswer: 35*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2335 - -22221?\nAnswer: 15442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5354797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -762*u + u**2 - 1 + 761*u + 2*u**4 + 0*u**4 as h*u + z*u**2 + y + n*u**4 + x*u**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 295 = -4*t + 2*q, -356 = -5*t - 2*q. What is x in 125 - 91 + 211 + 5*x**2 - t*x = 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3288448697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15785, -3, 3, -7, -249 in decreasing order.\nAnswer: 15785, 3, -3, -7, -249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*-6*30\/25*-5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/72)\/(210\/42)*2*12\/13?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/8523500 and 19\/3409400?\nAnswer: 17047000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 6*h + 3. Calculate x(-9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 15120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2793 = 7*j. Suppose 0 = 2*a - 1243 + j. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 953?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-8))\/(3\/(-8)). Suppose -5*t + 3*v = 19, -v - 4*v + 15 = 0. List the prime factors of t\/m - (-54)\/4.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4126000 to the power of 1\/2, to the nearest integer?\nAnswer: 2031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, b: 3, i: 6, w: 8}. What is prob of picking 3 b?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12529412 and 123172.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -23604 divided by -1\nAnswer: 23604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -40)\/(-10)*1\/(-8)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13244 is divided by 13066?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -17*g + 183. Let i be x(11). Put 0, -1, i, 7 in descending order.\nAnswer: 7, 0, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-3))**26*(b**4)**(-10\/3) assuming b is positive.\nAnswer: b**(272\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-840)*7\/2\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -1\/42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3104, -1\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 less than -1277\/123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 2*f**3\/3 - 1. Let x(p) be the second derivative of -1\/6*p**4 - 4*p + 0*p**2 + 0 + 0*p**3. Calculate l(x(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5615349 and 41.\nAnswer: 230229309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 10:11 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (402\/(-9))\/((-8)\/12) is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(152) + 1*sqrt(152)*-1)*-6)\/((sqrt(360) + 3*sqrt(360) + sqrt(360))\/sqrt(5)*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**3 + 12*d**2 + 327*d + 312 = 0.\nAnswer: -8, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8978.297 nanoseconds in seconds?\nAnswer: 0.000008978297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.955 - -63.615. Let d = z - 0.57. Let i = d - 79.9999943. Round i to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 h, and 1 c when three letters picked without replacement from {c: 2, h: 2, r: 1, u: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -38 (b) -6 (c) -0.1 (d) 2\/5 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1110101011110011100 (base 2) to base 9\nAnswer: 813044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/9 + 0)*(-15)\/20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b**2 + 8*b - 19. Let d(u) = 1. Let r(z) = 6*d(z) + y(z). What is the units digit of r(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/12824 and 69\/280.\nAnswer: 64120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 + j**2 + 3*j**2)*(6 + 4 - 7) - 8 + 7 + 5 - 4*j**2 + (-2*j**2 - 2*j**2 + 5*j**2)*(1 + 5 - 4) - 1 + 1 + 3*j**2 + (-3*j - 4 + 4)*(2*j - 3 + 3).\nAnswer: -2*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 10:26 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - -35. Suppose 0 = -3*y - y + r. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1520\/357 - -74\/17. Are g and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**5\/20 + 5*z**3\/6 + 5*z**2\/2 - 15*z. Let x be a(-2). Factor 0*j + 0*j**x - 2\/3*j**4 + 2\/3*j**2 + 0.\nAnswer: -2*j**2*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 7 - 10 - 2 - 2. Let g(l) = l - 29. Determine 2*g(k) - 9*s(k).\nAnswer: 2*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3131, 25048, 84541, 200396, 391399?\nAnswer: 676336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/5, -4, -3\/7205?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -26*c + 259. Determine q(25).\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 410981 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3132392, -3, 2\/7, -1\/3, -2\/3 in ascending order.\nAnswer: -3, -2\/3, -1\/3, 2\/7, 3132392","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**5 + 153138*s**4 - 2143566*s**3 + 1989926*s**2 + 38583072*s + 49607640 = 0 for s.\nAnswer: -2, 9, 76555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (6 - 5) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s - 335 = -30*s + 323 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h + 16. Determine y(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0231 - 0.02019. Round a to four dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26298, 23545, 18950, 12507, 4210?\n\"Answer: -r**3 - 915*r**2 - r + 27215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1553*d**2*n - 9*d**2*q**4 + 4*d**2*q - d*n*q + 5475*n*q**4 - 2*q**2 wrt q.\nAnswer: -216*d**2*q + 131400*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 248157.\nAnswer: 992628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 1.209.\nAnswer: -2.209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 7*p. Let o(c) = -9*c. Let j(x) = -3*o(x) - 4*t(x). Let i(m) = 244*m. What is i(j(h))?\nAnswer: -244*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-3 + -7 + 8 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2400*h + 1905585. Give c(-794).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 67*v - 281. Let f be u(71). Solve 35 = f*c + 50 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553956393 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -4. Which is the second smallest value? (a) 0 (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57088928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**5\/7 - 107*z**4\/7 + 18*z**3\/7 + 1894*z**2\/7 - 487*z + 1605\/7 = 0. What is z?\nAnswer: -107, -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 2557504*v**2 + 1162357*v**2.\nAnswer: 3719861*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 37.\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 96825072 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2170*h - 1011441 = -2207*h - 258713. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-5)*(-5 + 4)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -t + 3, 83*t = 95*t + s - 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-2)\/(126\/35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26609 by -11.\nAnswer: -2419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 0.686208?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 5*h - 21, -10 = -3*h - 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3872834?\nAnswer: 2, 7, 29, 9539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 3*u**2 - 4*u. Let h be x(-4). Let t(a) = a**2 + 9*a - 20. Let b be t(-11). Is h smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38122 or 35204?\nAnswer: 38122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + (8 - (-28 + 87)) - -71?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 142761476 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -449\/5279 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3558? (a) -2 (b) -3\/5 (c) 5 (d) 2\/5 (e) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and 1248?\nAnswer: 21216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggrdrd. Give prob of picking 2 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8488207919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726 is divided by 46.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12487225 = -5*f - 5*z, f - 2*z = -z + 2497449. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 + 3*z**2 - z. Let u be a(2). Let k = -3 - u. Let w = -290 + 296. Solve -j + d + 2 = 0, -k*j + w*d = d - 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4*s - 30, -4*s = -3*p + p - 16. Suppose -3*t + 75 = p*t. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 117899154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -198*u**5\/5 - 1781*u**4\/6 + 2*u**3 + 2*u**2 - 21*u - 45. Suppose c(p) = 0. Calculate p.\nAnswer: -3, 1\/594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -36, 101, -0.4, -1\/6, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 4\/22 - 7700\/(-242)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/s**(-2\/5))**(-50))**(17\/4)*(s*(s\/s**4)\/s*s\/(s**(2\/17)*s))**7 assuming s is positive.\nAnswer: s**(-9041\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1510 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68843*j**4*u - 13*j**2*u - 285*j + 17583*u wrt j.\nAnswer: 826116*j**2*u - 26*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*h**2 + 2421\/4 + 201*h.\nAnswer: -(h - 807)*(h + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 34 - 154 = 0. Suppose 2*g = -4*p + z, 25 = 3*g - 3*p + 5*p. Which is greater: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 131?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p + 3*p - 1530 + 1532 + p**4 + 3*p**2 in the form a*p**4 + o*p**2 + r + g*p**3 + d*p and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 7*v**2 - 6*v - 8. Let o be x(-6). Let n be (-46)\/o + (-5)\/(-20). Find the third derivative of -3*f**n + f**2 + 3*f**2 + 6*f**6 wrt f.\nAnswer: 360*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 17*t**2 + 66*t - 83. What is the least common multiple of 1240 and w(-5)?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of h**4\/4 + 2*h**3 - 6*h**2 + 21*h. Let l(x) = x**2 + 5*x - 5. What is -5*j(o) + 12*l(o)?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9942002 nanograms in micrograms?\nAnswer: 0.0009942002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200122212001000221 - -10?\nAnswer: 200122212001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rffnffenrffcbfce. What is prob of picking 1 f, 1 n, and 1 b?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 = 91*j - 39 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*i**2 - 440 + 30*i + 893 - 453 as j + z*i + l*i**2 and give l.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*o - o + 4*o + (-2 - 3 + 3)*(o - 2*o + 0*o) - o + 2*o + 0*o - 2*o - 2*o + 5*o + 3*o - 2*o + o + 10*o + 11*o - 9*o + (-5483 + 5483 - 38*o)*(2 - 3 - 1).\nAnswer: 92*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1152436788 rounded to 4 dps?\nAnswer: 0.1152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 256538986 and -0.2.\nAnswer: -51307797.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5 + 6*c**4 + 8*c**3 - 2*c**2 - 9*c - 4.\nAnswer: (c - 1)*(c + 1)**3*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -7*b**3 + 72*b + 6. Let z(y) = -y**3 + 12*y + 1. Let p(x) = u(x) - 6*z(x). Let q(n) = -24*n**3. What is 54*p(c) - 2*q(c)?\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(5) - sqrt(5)) - (((sqrt(5) + (sqrt(5) - 2*(sqrt(5) - (sqrt(10)\/sqrt(2) - sqrt(5)))))**2 - sqrt(5)) + sqrt(5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*d + 18 = -3*b, 0 = 4*d + 5*b - 42. Suppose -v + 5*v + d = 0. Is -1 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.584081 + 0.084177. Let m = -5.5 - l. Round m to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(2\/24*-3). Solve 0 = y + y - g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 6121*u**2. Let p(x) = -3*x**2. What is o(p(f))?\nAnswer: 55089*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + 0.6. Let x = -12 + 106\/9. Sort 4, a, x in descending order.\nAnswer: 4, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0.1, -0.2, -20?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/45*(22 + -37)*(19\/(-3) + 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibbi when four letters picked without replacement from {b: 5, i: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3*(sqrt(45))**2 + (-3 + sqrt(245)*-1 + sqrt(245))**2)*-5.\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -3)\/((-2)\/106). Let x be 2\/(-7) + (-120)\/(-28). Suppose 3*k - x*k = -w. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 + 25 = 32*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -91*x + 3275. What is a(36)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 134 + -131. What is the third smallest value in d, -25, 1\/4, -2\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 18, m: 2}. What is prob of sequence my?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 5. Let s(f) = -4*f**2 + 13*f**2 + 6*f**2 - 4*f - 25*f**2 - 2 + 7*f**2. What is s(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44687 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 563094\/49 - 4\/(-14). Let u be (-6)\/(-9)*-1 + i\/12. Suppose b = u + 956. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -236*o**2 + 458*o?\nAnswer: -472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**2 + h**2 + 83262*h**3 - h**2.\nAnswer: 83262*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -20813.1862 - -193?\nAnswer: -20620.1862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -871\/12 - -427\/6. Find the common denominator of x and -65\/634.\nAnswer: 3804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003567 rounded to seven dps?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 15) in base 9?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 6:17 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -69 + 22. Let y = 50.92 + b. Let k = y - 4.6. Round k to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5, 41, 105, 197?\n\"Answer: 14*u**2 - 6*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5715093?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 6*v**2. Let l(y) be the third derivative of -y**5\/60 + 960*y**2 - 2*y. What is -2*h(u) - 14*l(u)?\nAnswer: -2*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26720 is divided by 53?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-10))\/(1941\/3235).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k + 112 = 180 + 277 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -168010\/54009 - 2\/6001. What is the common denominator of -87\/16 and u?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 0.3 (c) 0.4 (d) -0.3 (e) 1 (f) -1\/3 (g) -51370\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -20. Let m be 33\/88*j\/(-3). Let t = -1 - 0. Which is bigger: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180407553?\nAnswer: 3, 17, 317, 11159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -3\/20 (c) -4 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 16 = 12*k. Let d be ((-4)\/(-12))\/(k\/36). What is the third derivative of -394*x**4 + 394*x**4 - 9*x**d - 10*x**2 wrt x?\nAnswer: -1080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.0546856 and 10.92.\nAnswer: 9.8653144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 - 2*j - 1. Let h be s(-1). Is (-692)\/(-16) - h\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3411 - 2914. Calculate the greatest common divisor of v and 568.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(575\/95 + (-6 - 0)).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 0*p + 12\/5*p**5 - 3\/4*p**4 - 1\/2*p**6 + 257 + 0*p**2 - 6*p**3. What is m in s(m) = 0?\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168897.57 rounded to the nearest one thousand?\nAnswer: -169000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 7, -1\/2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**4\/66 - 3*c**3\/11 + 15*c - 26. Suppose w(b) = 0. What is b?\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 <= -0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 - 9.4363\nAnswer: -9.4163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h. Let z(w) = 5*w - 2. Let c(y) = -3*d(y) + z(y). Let o be c(2). Find the third derivative of 0*m**6 - o*m**2 + 3*m**6 - 4*m**6 wrt m.\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 1103?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbbbbblbiibbllli. What is prob of picking 1 i and 1 l?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(9 - (-404)\/(-44)). Calculate the highest common divisor of q and 154.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3681 and 17426672?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-14)*-19*2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/2 + 290907*s - 15711165\/2.\nAnswer: 3*(s - 27)*(s + 193965)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -169*t**6\/6 + 29*t**3\/3 + 2*t - 74. What is the third derivative of v(n) wrt n?\nAnswer: -10140*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -127*q + 131*q. What is the least common multiple of q and 62?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by -40\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 + -40?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57492 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 736 = 3*t - 28*t + 55*t for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -70*m**3 - 21*m**2 + 21*m + 21. Suppose 140*u = 133*u - 1750. Let b = u + 248. Let h(q) = -7*q**3 - 2*q**2 + 2*q + 2. Give b*t(k) + 21*h(k).\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9072333 litres to millilitres.\nAnswer: 907.2333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -13*t**2 - 7*t - 17. Let g(a) = 6*a**2 + 3*a + 7. Let l(m) = 9*g(m) + 4*i(m). Calculate l(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - (-15)\/(-6))*6. Suppose -m*h + 1914 = 3*v, -2*h - 632 = -v - h. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30264 divided by 104?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -1 (c) -98 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10960e (base 16) in base 13?\nAnswer: 2c09b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65751860 * 1.4.\nAnswer: 92052604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1 (b) -168 (c) 6 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-6\/7)\/v)*v*v)\/(v\/(v*v**(-28)\/v*v)))**2 assuming v is positive.\nAnswer: v**(-324\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(1350)*2)\/(sqrt(42)\/sqrt(63)))\/(sqrt(108) - (sqrt(108) - -2*-1*sqrt(108)) - (sqrt(108) + ((sqrt(108) + -1*sqrt(108))*-5 - sqrt(108)))).\nAnswer: 2 + 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 5 + (-1 + 8 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - y - 19 = 0, 0 = -c - 0*c - y + 9. Suppose r - 8 = c. Suppose 10*j - r = 15*j. Sort 2, j, -1 in decreasing order.\nAnswer: 2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4\/6 + 12373*n**3\/3 + 67057727*n**2\/2 + 297459614698*n\/3 + 288985465566338\/3 = 0.\nAnswer: -9959, -2414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 4*b**2 - 2*b + 3. What is q(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 78480989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -2\/15 (c) 17\/4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -77\/8, -358?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (12118\/(-1104) - (76 + -85)) + 2 and 73\/144.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/5)\/((2\/(-17))\/(50\/1275*-12))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 690487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/((-182)\/21))\/(24\/16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 6\/2335?\nAnswer: 6\/2335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 71 + 14703506?\nAnswer: 14703577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 960 and 315.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1381886*b**5 - 660165*b wrt b.\nAnswer: -27637720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = -72*o + 188 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2189.964 years in centuries?\nAnswer: 21.89964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 - 29. Calculate the greatest common divisor of q and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000059591 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**3 - 2352*v**2 + 921984*v - 120472576 = 0.\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 22*h - 18. Let f be u(21). Suppose 9*n + 0*n**3 - 5*n + 12*n**2 + 6 + f*n**3 + 11*n = 0. What is n?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 137180503 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + n + n)*(-490 - 32*n + 490)*(702 + 640 + 1522 - 479) to u*n**2 + m*n + c and give m.\nAnswer: -76320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/17501 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 9703600 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-116)\/84 + 3 - 0\/(-3) and -44\/15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100001 (base 2) to base 7\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1967733707.\nAnswer: 43, 45761249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**5 + m**5 + 4*m**3 - m**3 + (-702*m + 53*m**3 + 702*m)*(-21*m**2 - 34 + 11*m**2 + 8*m**2).\nAnswer: -107*m**5 - 1799*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 154, 1\/117, 1\/2?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5*c\/(c**(-2)\/c)*c)\/(c**(1\/10)\/((((c\/c**(-2\/7))\/c)\/c)\/c)) assuming c is positive.\nAnswer: c**(573\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5694\/292 + (-3 - 75\/(-10)) + -3\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and 0.04?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 16.749 * 6\nAnswer: 100.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c**2 + 92*c - 56 = 0. Calculate c.\nAnswer: 2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*u = -185, -11*s = -6*s + 4*u - 185. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (13\/39)\/((-2)\/(-1662)). Find the common denominator of a\/(-42) + (30\/21 - 1) and 4\/6 + 238\/(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284*m = 343*m - 177. Put 4, 0.06, -4, 0, m in descending order.\nAnswer: 4, m, 0.06, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*f - 15 = -111 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uullul. What is prob of picking 2 u and 1 l?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-178)\/(-26) - ((-18)\/39)\/3. Let i be -5 + m\/2 - 751\/(-2). Let a = i - 208. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1832, -1494, -968, -260, 624?\n\"Answer: -v**3 + 100*v**2 + 45*v - 1976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1630, -1635, -1650, -1681, -1734?\nAnswer: -1815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*c - 32 = 0, -3*j - 2*c + 15 = -3*c. Suppose 2*i + 62 = 5*d + 22, 2*i = -5*d + 20. Solve j*r - 4 = d*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191569949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ya when two letters picked without replacement from jajny?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -114102444?\nAnswer: 114102442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 2. Suppose 6*n - 9*n = i - 17, 3*n - 22 = -2*i. Suppose 0 = -5*c - 4*w + 475, -n*w + 239 = -j*c + 583. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -61303819*a + 132876. Let j(b) = -3691*b + 8. Determine 33219*j(w) - 2*z(w).\nAnswer: -3691*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -144000562031 and -0.06.\nAnswer: -144000562031.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**15\/((y*(y**(3\/17)*y)\/y)\/y)*(y**(-1\/7)*y)**(1\/81) assuming y is positive.\nAnswer: y**(47662\/3213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 24513 (base 7) to base 9\nAnswer: 8733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + (-10)\/(-1))*(-4)\/(-12). Let s(l) be the first derivative of -13 - l - 3\/2*l**i. Give s(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -2*sqrt(2) + 1 - (0 + sqrt(72)))*-5.\nAnswer: -5 + 35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (63*u + 43*u - 104*u - 2165)*(-4*u + 12*u + 2*u**2 + 2*u) as q*u**2 + n*u + w*u**3 + p and give n.\nAnswer: -21650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 712 and 58562?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o + 5*k - 59 = -5*o, -3*o - 2126 = -41*k - 123*k for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -715 - -715. Solve 3*y + 2*k - 5 = w, 3*y + k - 1 = 3*k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**7*z)\/z)**19\/((((z*z\/(z*z**(-5\/2)*z))\/z*z)\/z)\/(z*(z*z**19)\/z)) assuming z is positive.\nAnswer: z**(341\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.734 rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -1. Let k = x - 16. Solve -b = -0*b - 5, -l - k*b + 5 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 12) in base 8?\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 9:45 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468)*-2)\/sqrt(9))**2 + -1.\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 72539429 to the power of 1\/2, to the nearest integer?\nAnswer: 8517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 198 + -195. Sort 4, y, -63, -5 in decreasing order.\nAnswer: 4, y, -5, -63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 150681 - -10790. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 - 159*t + 378. What is the smallest common multiple of f(51) and 1080?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15119637 divided by 13\nAnswer: 1163049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18880 - -2614?\nAnswer: -16265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 4*z + 7. Let w be g(5). Suppose -16 = -0*p - w*p. Differentiate 5 - 13*v**3 + p + v**3 + 0 with respect to v.\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p. Let n(c) = c**2 - 3*c - 1. Let b be 2\/10 + 1080\/1350. Calculate b*n(j) - x(j).\nAnswer: j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4, -c - 2*s - 424 = -3*c. Suppose 4*w - 4 - c = 0. What are the prime factors of w?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 1. Let c(a) = a**2 - 7*a - 6. Let i be c(6). What is the remainder when (-4)\/i - 56\/(-3) is divided by f(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28\/9 - 4\/9*h**2 - 32\/9*h.\nAnswer: -4*(h + 1)*(h + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*sqrt(637) + 6*(sqrt(13) + 1))**2*-3 - (sqrt(1911)*-1 + sqrt(39))\/(sqrt(432)*1).\nAnswer: -441 + 217*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33902053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 8:15 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-736)\/80)\/(1\/(-5))?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*a + 13*a - 9 + 0*a - 22*a as b*a + n and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -11*v**3 - 6*v + 5. Determine r(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiwwgiw. Give prob of picking 1 g and 2 w.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.310115um in meters?\nAnswer: 0.000007310115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6563*a**2 - 5582*a**2 + 7802*a**2 + a - a to l + c*a**2 + s*a and give c.\nAnswer: 8783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4714\/9, 1\/9, 4, -1\/5 in decreasing order.\nAnswer: 4714\/9, 4, 1\/9, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 11013?\nAnswer: 11007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, 2\/3, 2\/15, 3\/19, -0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179*s = 105*s + 100*s - 182 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 21. What is the remainder when 4\/14 + 981\/21 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 - 2*d**2 - d - 3. Let r(h) = 7*h**3 - 142*h**2 - 6*h - 13. Give 5*q(o) - r(o).\nAnswer: 3*o**3 + 132*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7056 = -10*d - 8*d. Calculate the remainder when 402 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71.21978 + 0.21978. Which is the closest to d? (a) 0.6 (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -626 by -1.\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 12*w**2. Let f be q(-12). Let k(y) be the first derivative of f + 3*y + y**2 + 0 + 4 + y. What is the derivative of k(p) wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61970*v**2 - 250580 with respect to v.\nAnswer: 123940*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o*o\/o**(-1\/5)))**(-9\/4))**(3\/19) assuming o is positive.\nAnswer: o**(297\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 493 + -492. Which is the second biggest value? (a) m (b) 2930 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17597949 (base 10) to base 3.\nAnswer: 1020010001211220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -9*o**2 - 11*o - 2. Let h(b) = -4*b**2 - 5*b - 1. Give 13*h(p) - 6*v(p).\nAnswer: 2*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -159 and 81450.09.\nAnswer: -12950564.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*(-5 + -1 + sqrt(147) - sqrt(147)) - (-1 + sqrt(147) + -4 + 1 + sqrt(147) + 5)))**2*5.\nAnswer: 1820*sqrt(3) + 3785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1010*z - 884 = -1036*z. Solve 0 = 9*y - z*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 3*o + 2. Let h(p) = -p - 13. Give h(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61\/2 - 789\/26. Let s = 807\/1400 + -1\/200. Let t(r) = r**3 - 9*r**2 - 10*r - 1. Let u be t(10). What is the nearest to u in f, s, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + 15)\/(1\/(-6)*-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 1. Let j be y(-1). Suppose -z - 15 = -6*z. Let m be (-3 + j)*(0 - z). Solve 2*v + v - m*r = 15, -2*r + 5 = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/816556 and -15\/164.\nAnswer: 816556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289608?\nAnswer: 2, 3, 11, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 16 = 20. Suppose -z*u = -5*s - 6, 5*s + 5 + 4 = 3*u. Suppose -2*j + 3*m - 87403 = -s*m, -4 = -4*m. Round j to the nearest one thousand.\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -11*u + 1. Let i be y(2). What is the units digit of (-183)\/i - 4\/(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 1)\/((-5)\/(-5)). Suppose -669 = -y*f - k + 2*k, -k + 885 = 4*f. Suppose -5*h - 7 + f = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1321 = -j + 4*n, 6*j - 8563 + 532 = 3*n. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1846238523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 45335 divided by -9067?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2 - 90*l - 563. What is w(43)?\nAnswer: 1114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 682 is divided by 301?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*b + 9*b + 2*b)*(106*b - 89*b - 466*b) in the form n*b + q + v*b**2 and give v.\nAnswer: -11674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 161 + -1?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 87\/(-30) + -1 - (-6)\/15. Is -4 less than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (2 - 5) - (23 + -12 - 22)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147\/119*((-24)\/42)\/((-4)\/(-2)).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 13 = 5*l, 0 = 4*l + 53*a - 51*a + 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16584 = -27*v + 16800 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*k + 8*k + 6. Let f(u) be the second derivative of 1\/3*u**k + 2*u**2 + u + 0. What is f(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a tonne in kilograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 60*k - 22. Let s be 4\/8 + (-5)\/(-2). Let g(j) = 180*j - 64. Let t(p) = s*g(p) - 10*l(p). Differentiate t(y) wrt y.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3209\/132 - 404\/11. Calculate the common denominator of 79\/36 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 250, -2, 2 in ascending order.\nAnswer: -2, 2, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 28*t - 27*t. Suppose t*a = 9*a - 188. Let m = 51 - a. Put 3, m, 6, -3 in descending order.\nAnswer: 6, m, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 31?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -538375 divided by -538375.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*t**4 + 7*t**2 + 5628874*t - 113717114 wrt t?\nAnswer: -8*t**3 + 14*t + 5628874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 0, 4*y = -3*r + 5*y + 60. Calculate the greatest common divisor of 80 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1939 and 847.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380508 is divided by 464?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w**2 - 1 + 1)*(83*w - 133*w + 1075*w) in the form c*w**3 + a*w**2 + l*w + m and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c20 - -a9?\nAnswer: cc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*w - 3080 = -160*w - 153*w for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 5*k - 1. Let v be i(5). Let b be -12*(-7)\/(21\/(-86)). Let j be (b\/2)\/(v\/25000). Round j to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 54.487 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -55769 from -4.1.\nAnswer: 55764.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 846 and 49444?\nAnswer: 444996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 261*z + 5. Let a(d) = d + 1. What is -5*a(x) + y(x)?\nAnswer: x**2 - 266*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 4*y - 7. Let s(j) = -13*j + j**2 - 278 + j**2 + 277. Let c be s(7). Give r(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131643052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1217247, 1217072, 1216895, 1216716, 1216535?\nAnswer: 1216352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(2 - -2) - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 20*b**5 - 152*b**4 + 416*b**3 - 448*b**2 + 64*b + 128 = 0.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -864+141\nAnswer: -723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*q + 67 + 42 = -83 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222638 is divided by 222627?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-143)\/(-3) + (-4)\/(-12). Let n = 175 - f. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbxa when four letters picked without replacement from {h: 1, x: 2, g: 1, v: 1, b: 2, a: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, q: 9, b: 2, s: 2}. Give prob of sequence bb.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b - 4*b + 0*b)*(1 - 16 + 8) + 0*b - 3*b - 2*b - b - 4 + 4 + (5*b - 5*b - 2*b)*(3 + 0 - 2) + b + 5 - 5 in the form w + n*b and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sstssssstsjtssstt. What is prob of picking 3 t and 1 j?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -6 + 13 + (2 - 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -20*b + 9. Let w be s(8). Let k = w + 108. What is the common denominator of (-130)\/(-30) + (-22327)\/1992 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4790620 rounded to the nearest ten thousand?\nAnswer: 4790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (6 - (-760)\/(-130)) + 26984\/26?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636410 is divided by 74?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10569 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: Collect the terms in -270 - 61*v - 57*v + 120*v.\nAnswer: 2*v - 270","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 708509 and 15691?\nAnswer: 1207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 6 (c) -0.4 (d) -2\/111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-270)*-27*(-208)\/12.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 4, y: 2, h: 3}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 2:32 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(-4)\/(-12) - 81\/15. Is -4 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -4. Let u be 2\/((a\/1)\/2). List the prime factors of ((-20)\/8)\/(u\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 2*p**2 - 4*p - 4. Let h be (-16)\/(-3) + (-1)\/3. Suppose -2*k + 5*x + 34 = 2*k, -h*k + 36 = -3*x. Let j(i) = -i + 3. Let c be j(k). Give g(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -168014 + 168003.9879. Let k = -0.0121 - u. Sort k, -2, -1\/2, 0.05.\nAnswer: -2, -1\/2, 0.05, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 9*j + 52. Let g be o(-12). Suppose g*u = -9*u + 5600. What is the remainder when u is divided by 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 19 - 5 + 2*t + 20.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2 - 3*h + 0*h + h. What is z(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -11\/2872432?\nAnswer: -11\/2872432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 148 - 170. Let n = -25 - -50. Let r = n + -21. Sort r, 0, w in descending order.\nAnswer: r, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 11:20 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -3*x. Suppose 9*q**3 - 2*q**x - 14*q**3 + 6*q**3 + q = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(4\/12*99\/(-22))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 74522?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16858, 25291, 33724?\nAnswer: 42157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/3648 and -19\/116.\nAnswer: 105792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 1. Let w = 215 + -212. Let k(x) = -5*x - 3. Calculate w*v(t) + k(t).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 70092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, e: 4, z: 1, s: 1, m: 1}. Give prob of picking 1 m, 1 z, 1 e, and 1 y.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16345 and 455.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -6\/73, -1\/180, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2183724, -2183657, -2183590, -2183523, -2183456?\n\"Answer: 67*x - 2183791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 223 or 193?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13547\/5 smaller than 2709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 19*18\/684*34?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 2) + -8 + (1 - 0 - 9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*q + 2*b = 33*q - 12, -17*b = -14*b + 18 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/(y*y\/(y\/y**(-4))))))**(-17)*y**(-1\/5)\/y**(-18\/5) assuming y is positive.\nAnswer: y**(-323\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 - 30. What is the least common multiple of 14 and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 294 = -2*l + 3*k, 0 = -4*l - 3*k + 609. Let j be l\/(2 - 79988\/40000). What is j rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.91 + 0.09. Let o = s + -4. Let x = 18 - 37\/2. What is the nearest to o in 2, x, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2519712 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -18*d + 44. Let m be o(-7). Suppose -10*b = -490 - m. Calculate the lowest common multiple of b and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -817879 - -817892.00009. Let y = h + -13. What is y rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24164 or 26938?\nAnswer: 24164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1346 and 4493.\nAnswer: 3147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a (base 12) in base 11?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 0 + 0*i**4 + 0*i**2 + 4*i + 1\/30*i**6 + 2\/3*i**3 + 0*i**5. Find the second derivative of w(n) wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 4509 in increasing order.\nAnswer: -5, 0, 4509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58)\/87 - (-23)\/39)*1*-4.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 376, -84179.\nAnswer: -84179, 3, 376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 at least as big as -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/1670243 and -20\/201.\nAnswer: 5010729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.29 + -2. Let y = a + -0.3141. What is y rounded to three decimal places?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*v - 23086 = -22030 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 18*u + 90. Let y be i(-4). Calculate the greatest common divisor of 48 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1547145*h - 3094226*h + 1547162*h.\nAnswer: 81*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1011100100010010 (base 2) to base 7\nAnswer: -255062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91635 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -819903 (base 12) to base 13\nAnswer: -560259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(190)*-1*-6 + sqrt(190) - (sqrt(190) - 2*sqrt(190)*-4))*6)\/((sqrt(1000) - (sqrt(1000) + (sqrt(1000) - -3*sqrt(1000))))*-6*-6))**2.\nAnswer: 19\/14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*(-1*((sqrt(1280) - (sqrt(1280) + -1)) + sqrt(1280)) + -3*(sqrt(20) + 0 + -1)).\nAnswer: -40 + 440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38 + 40?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.9421 + 1.0579. Let n = -12 + 11.66. Let i = -0.06 + n. Which is the nearest to d? (a) i (b) -1\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006891648507 rounded to seven dps?\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12838 to three decimal places.\nAnswer: 0.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -148, -111, -82, -61?\n\"Answer: -4*l**2 + 49*l - 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 218, 1, -1 in increasing order.\nAnswer: -1, 1, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 288\/256*(2 - 6\/9)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-18) + -1)\/((-1)\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-1496)*-4*-136.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/43 at least as big as -80757?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2719 + 3516. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 6*r + 4. Let f be w(-5). Let h = 42.58 - 43. Let o = -0.08 + h. What is the nearest to f in -0.2, 0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j + 5. Suppose -q + 23 = 2*q + 5*p, 0 = q - 5*p - 1. Let i(x) = -9. Let l(r) = -r - 18. Let k(f) = -5*i(f) + 3*l(f). Calculate q*k(s) + 11*c(s).\nAnswer: 4*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 8) + (-123 - -127).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 7 - 9. Suppose 2*g - d = 0, -4*b + g - 13 - 4 = 0. Let j be 3\/(-2) - (-1039994)\/b. Round j to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213803*h**2 - 213803*h**2 - 386*h**3.\nAnswer: -386*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/155, -3, 0.5, -1?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*i - 352 = 0. Let v = -216 - -2167\/10. Find the common denominator of ((-9)\/(-6))\/((-30)\/i) and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -81 less than 0.00686?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230, 297, 352, 389, 402, 385, 332?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/3*(-2 - -24 - -2). Let g = v - -40. List the prime factors of (-2*(-39)\/g)\/((-1)\/52).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-4))**(2\/17)\/(o**(-2\/7))**44)**(-5))**10 assuming o is positive.\nAnswer: o**(-72000\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1272 = -3*v + 3*n, -48*n + 43*n + 394 = v. What is the remainder when 1404 is divided by v?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -467582256 divided by -12988396.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 90?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -208, -832, -1876, -3340?\nAnswer: -5224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + (-16)\/(-10))*(-240)\/4. Calculate the greatest common factor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (5 - (4 + 16 + 0))) + -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 450248152 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i - 20. Let g be w(22). What is the common denominator of 3322\/33*(-3)\/g and 73\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 47*h**2. Let t(f) = 3*f**2 - 4. Let a(z) = 10*z**2 - 14. Let m be 2 + (2 - 8\/(-4)). Let x(v) = m*a(v) - 21*t(v). What is w(x(u))?\nAnswer: 423*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**2 + 6*d - 4*d**3 - 2*d + 5*d**3 = 0. What is d?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.76 (b) 16\/5 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1152)\/960*(-5625)\/54.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of x**4 + 32729*x**3 + 15*x**2 - x + 103 wrt x.\nAnswer: 24*x + 196374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11818 rounded to three decimal places?\nAnswer: -0.118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = d - 56. Let m = -14 + d. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 2*n**2 - 3*n + 2. Let t be p(1). Suppose 0 = -w + 3*v + 8, 0 = 73*w - 69*w - 5*v - 18. Is w equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(5\/20*2). Let c = -12 - t. Let y(a) = -13*a**2 + 10*a**2 + 0 + c. Determine y(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -41, 2\/5, -0.1, 2969\/6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-24))**(-2\/25)\/((y**22*y)\/(y*y\/((y\/(y\/(y\/(y*y\/((y\/(y\/y**(-4\/17)))\/y)*y*y)*y*y*y)*y)*y)\/y))) assuming y is positive.\nAnswer: y**(-7159\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17675 + 880617.\nAnswer: 862942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/(-12)*-3 - (0 - -1). Let x be (4 - 80\/18)*6\/r. Which is the fourth smallest value? (a) x (b) 1 (c) 0.2 (d) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -914 - -1113. Let h = 359 - y. What is the smallest value in -2, -1, h, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220738 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3830382\/36*6\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-13 - -11 - -24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(684) + sqrt(684)*4*3 - (sqrt(684) - (sqrt(684) - ((-2 + sqrt(684) + sqrt(684) + 1 + sqrt(684) + sqrt(684) - sqrt(684)) + sqrt(684)))))**2.\nAnswer: 108*sqrt(19) + 55410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -182 + 261. Suppose -3*k = -356 - i. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + (-2 + sqrt(108))*-5)*2 + (sqrt(216)\/sqrt(54))\/(2*sqrt(192)))**2.\nAnswer: -5755*sqrt(3)\/3 + 1401601\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -20, -148, -4, 1 in descending order.\nAnswer: 1, -1, -4, -20, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 622 divide 67222028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 426 - 181. List the prime factors of g.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2, 0, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*p + 23*m - 15*m, 4*p = 3*m - 14. What is the nearest to -1 in 1\/7, -7, p, 2.6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*k + 2 - 100*k - 1 - 2 - 3 as t + w*k and give w.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*l + 8 = 68*l - 3*n, -2*l - n = 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2\/(0 - -2) - -15 and -2 + 23 + -2 + 1.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3794*t - 3796*t + 3*i + 29, -4*i + 212 = 60*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-121)\/(-11))\/(-11)*43. Sort -5, 2, w.\nAnswer: w, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 7:42 AM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 w when three letters picked without replacement from qqquqwqqhwuhnxnq.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uluf when four letters picked without replacement from fxluuoloxovllxl.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -34 = -942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16 + 43*b**4 - 8 + 36 - 137*b**4 wrt b?\nAnswer: -376*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/161 and 71\/3815.\nAnswer: 87745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/(-18)*17217\/(-7652)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)\/(p\/p**(-7)))**(5\/3) assuming p is positive.\nAnswer: p**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7135 is divided by 359?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7212 (base 10) to base 6.\nAnswer: -53220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19583 + 391661\/20. Let t(o) be the second derivative of 0 - 1\/6*o**3 - q*o**5 - 22*o - 1\/12*o**4 + o**2. Calculate t(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - 6) + (-1 - -5) + 2. Let b be 10\/t*(9\/(-6) + 1). What is the smallest value in 0.1, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 38 - 6 = r. Sort -333, r, -5, -1.\nAnswer: -333, -5, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*v**3 + 10*v**3 - 45*v**3)*(10*v + 45*v - 4*v).\nAnswer: -4284*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5674 or -5668?\nAnswer: -5674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + -35. What is the remainder when 2\/(2*(-2)\/(-106)) is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*f + 16 = 0. Suppose 3*k + 1 = f. Let p = -3 + k. Solve 0 = p*l + 7 - 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -195*j*m**2*s + j*m - 13*j*s + 5*s wrt m?\nAnswer: -390*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**2 + 209*a + 60. Determine m(70).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3523\/330 + -1\/110. Let b = c + -11. What is the closest to -0.1 in -3, b, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(480) + -4*sqrt(60)\/sqrt(2))\/(-4*sqrt(36)\/(sqrt(6)*-1)).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*u = -87*u - 52. Suppose u = 5*h - 4*j - 1, 4*j = -2*h. Let o be 0\/((1 - 2)\/(-1)). Solve o = -2*n - h - 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42182.\nAnswer: 2, 7, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -894, -888, -862, -804, -702, -544, -318?\n\"Answer: 2*g**3 - 2*g**2 - 2*g - 892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 79*x**3 + 10*x**2 + 28*x - 26. What are the prime factors of m(9)?\nAnswer: 23, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14017 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7432 + -29733\/4. Put -4, -0.4, 0.3, 1, s in increasing order.\nAnswer: -4, s, -0.4, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 251 and 8608.\nAnswer: 2160608","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -1822037886 + 8188238292649\/4494. Let i = s + 7\/321. Let c = 77\/92 + -3257\/1748. Calculate the common denominator of i and c.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*w = -34008, -2101*i + 2098*i + 25511 = -4*w. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-4))\/(-3)*3*(-40)\/(-110)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1606039 and 4401.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**4 + 2571*d**3 - 736155*d**2 + 70909425*d - 138894750 = 0. Calculate d.\nAnswer: 2, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1065594 and -133\/13872.\nAnswer: 144920784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -11, 593, -1 in decreasing order.\nAnswer: 593, 10, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-135364)\/((-8)\/(-28) + -1) - (-21)\/(-35) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 4\/13, -4, -0.063, 0.11, 0.08?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 9*x - 3. Let d = -8 + 16. Let j be b(d). Put j, 0, 3 in ascending order.\nAnswer: 0, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(133)*-1*3)\/(-4*sqrt(28)) + -4.\nAnswer: -2 + 3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -249*o + 261*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02974 to 3 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 20*w + 336. Let y(g) be the first derivative of -9*g**2\/2 + 7*g - 1. Let r(f) = 4*f - 3. Calculate w*r(p) - 6*y(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**3\/6 - 2*v**2 - 14*v + 1. Give y(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.74099g in micrograms?\nAnswer: 60740990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-6)*(-80 + 12). Solve 5*w - f + 24 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6904273?\nAnswer: 449, 15377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of f**6\/60 - f**4\/4 + 2*f**3\/3 + 2*f**2 + 5. Let c(r) be the second derivative of m(r). Factor c(i).\nAnswer: 2*(i - 1)**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139713*f**2 + 7*f**3 - f**3 + f**3 - 5737*f**2.\nAnswer: 7*f**3 + 133976*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4680)\/(-18))\/10*(-117)\/78.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-3 - (19 - 22). Solve 2 = 2*z + 4*l, j = -4*z - 0*z - l - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -22. What is the third smallest value in c, 2\/5, -2\/13?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 463 (b) -11 (c) 0.0696\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2310, 2309, 2308, 2307, 2306, 2305?\n\"Answer: -k + 2311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 11) to base 14\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (35\/(-84))\/((-15)\/(-9)). Which is the smallest value? (a) q (b) -37 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntnx when four letters picked without replacement from xnxttttttttttnn?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 692 and 6?\nAnswer: 4152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**4 - 26208*l**3 + 43137856*l**2 - 685181952*l + 2734034944.\nAnswer: 4*(l - 3268)**2*(l - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4794 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2324 + -18523\/8. Find the common denominator of v and 93\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -520005541 (base 6) to base 12\nAnswer: -30008b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + i - 5. Give y(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*z**2 + 13*z**2 + 21*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90039 + -49590. What is the greatest common divisor of 291 and f?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbbbfyfwhyybybbhwh. Give prob of picking 1 b, 2 h, and 1 w.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -0*j - 27. Let g(b) be the second derivative of 106*b**3\/3 - 4*b**2 - 2*b. Let u be g(j). Round u to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18250 rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -33. Let b(h) = h**2 + h + 1. Let t be b(v). Let y be -1*(0\/t + -19). Calculate the highest common factor of 19 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*r = -89, 7*c - 3*c = 3*r - 121. Let w(p) = p**3 + 24*p**2 - 31*p + 66. Let q be w(c). Round q to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b + 10. Let g be w(4). Suppose n + 16 = -3*n, -4214 = -g*p + 4*n. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*q = -88, -2*q = 60*w - 56*w + 72. Let c(s) = 6*s + 127. Let b be c(w). Solve 35 = -0*j - b*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*b + z + 46, -5*z + 11 = 2*b. Let a(q) = 30*q**2 - q - 1. What is the remainder when a(-1) is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*j*k**3*l + 2*j*k**3 + 6*j*k*l**2 + 7*k**2 - l**2 with respect to l.\nAnswer: -7*j*k**3 + 12*j*k*l - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3056 + 3018 - (-1 - 7)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52314 by -7.\nAnswer: -52314\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1250 = -8*c + 118. Let w = c - 171. Is -7\/58 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*m**2 - 7*m**2 + 13*m**2)*(-1 + 3 + 1) in the form s + d*m**2 + y*m and give d.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20, -17, -14, -11?\n\"Answer: 3*y - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(135)*-3)\/(-3*(sqrt(3)*2*-2 - (sqrt(3) - (sqrt(48) - sqrt(3)))*-4))*-4.\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/60)\/((-2205)\/1225).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/944 and -5\/684.\nAnswer: 161424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4992 and 29430912?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 28796, 29674, 30552, 31430?\n\"Answer: 878*d + 27918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-3))\/(2\/18). Let d(w) = 2 - 2 - w**2 + z*w - 5. Give d(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -140.4.\nAnswer: -14.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 83 = -2*r - t, 5*r = -3*t + 218. List the prime factors of r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -5*b**4\/24 - b**3\/6 - 2*b**2 - b. Let x(o) = 9*o + 1. Give 5*l(v) + 3*x(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -1 + 1 + 1. Suppose 5*d = j*k - 92, -d - 46 = -2*k + 6. Suppose 10 = h - 3. What is the remainder when k is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69 + 28 - -20) + 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*-5*-1*sqrt(190))\/(sqrt(30)\/sqrt(3)*-4*5).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(102) - (sqrt(102)*2 + sqrt(102) + sqrt(102) - sqrt(102)))*2 - sqrt(102))\/(-6*sqrt(54))*5.\nAnswer: -4 + 25*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -484603, -1938373, -4361323, -7753453?\nAnswer: -12114763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (171\/(-399))\/(1\/(-21)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 13*z**2 + 6*z - 67. What is the hundreds digit of c(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 3.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 + 119 - (-2)\/(72\/(-476))?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*u - 5*u. Let a(o) = -o**3 + o**2 + 1. Let l be 4\/(-16)*1*-4. Let g(h) = -2*h**3 + 3*h**2 + 3. Give l*g(d) + u*a(d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (308\/1386)\/((-12)\/1413) + 4*(-3)\/(-72).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (514\/2827)\/(14\/(-44)*-2) + (-960)\/28.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001399242 rounded to six dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*n - 72*n + n**2 + 36*n.\nAnswer: n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -735, -1462, -2189?\nAnswer: -2916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**2 - 281*c - 140 = 0.\nAnswer: -140, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16807248 is divided by 3806.\nAnswer: 3758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/27*(18\/(-21))\/(-3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 107 = 5*p, -8*p - 2127 = -12*p - 2*s - 2053 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/140)\/((-42)\/(-4830)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -10*x - 3. Let g be n(4). Let w = g + 49. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*z = k - 547, z = -2*k + 1085. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 391 (c) -66\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67868569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -33190*z. Let r(s) = 2*s. What is d(r(k))?\nAnswer: -66380*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -415*k**2 + 25*k - 5. Let d(v) = -4*v**2 - 5*v + 1. Let g(y) = -15*d(y) - 3*o(y). Let b(a) = -2*a**2. Give g(b(l)).\nAnswer: 5220*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - (-2)\/2)*101483. Let h = -18774446\/185 + a. Let u = h - 4\/37. Which is smaller: -1 or u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4122827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fwckwkckckwrrkkwwwck. Give prob of picking 1 w, 1 k, and 2 r.\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3334475.\nAnswer: 5, 133379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3181872697?\nAnswer: 2243, 1418579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 10*f**2 - 12*f - 17. Let d be h(-10). Let w = -86 + d. Suppose 8*y = w + 359. List the prime factors of y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 33*s + 59 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from {i: 1, t: 2, o: 2, y: 1, q: 3, h: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.79065ng to grams.\nAnswer: 0.00000003379065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 117362.6 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2 = s, -2*s - 4*f = f + 11. Let h(a) = 2*a**2 - 4*a - 1. Does 13 divide h(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-170)\/(-595) - -3*3\/(-7). What is the tens digit of -4 + 77 + v + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/3*21\/14. Suppose -v*u + 4*c + 14 = 0, 0*c - 7 = -4*u + c. Is 6 a factor of (u + -2)*1 - -32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.1 + 3. Let v = -329758.9000045 - -329759. Let b = v + g. Round b to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h + 275 - 470 + 349 + 356 = 0 for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.4775198 rounded to 3 decimal places?\nAnswer: -28.478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3050, 0.2, -2\/3, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -421*q**8\/336 - q**7\/70 - 52*q**5 - 792*q**2 + 3. Find the third derivative of h(m) wrt m.\nAnswer: -25260*m**2 - 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/10 and -59\/288575880?\nAnswer: 288575880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3266, -3268, -3270, -3272, -3274, -3276?\nAnswer: -3278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -319*i**3 - 10*i**2 - 3*i - 3. Let j(a) = 318*a**3 + 14*a**2 + 4*a + 4. Give 3*j(p) + 4*k(p).\nAnswer: -322*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 51*c - 23. Determine k(2).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12667256, -25334519, -38001780, -50669039, -63336296, -76003551, -88670804?\nAnswer: -101338055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 74*y**2 + 2*y + 1. Is a(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144232140 (base 5) to base 10.\nAnswer: -774045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217082?\nAnswer: 2, 108541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + -805218?\nAnswer: -805228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13571 + 1363.644906.\nAnswer: 14934.644906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -726*13\nAnswer: -9438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -q**5\/20 + 5*q**4\/4 + 17*q**3\/3 + 8*q**2 - 232*q. What is the remainder when 62 is divided by v(17)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66461628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 534808941 by -4.\nAnswer: -534808941\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 263306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/2 - (-13 - 16). Is 5 a factor of 72\/m*(-10)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.58689 - 4.91451. Let j = 77 - 82.5. Let d = j - p. What is d rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 2*g**4 + (2 - 3 + 2)*(2*g**4 - 7*g**3 + 7*g**3) + 0*g**4 - g**4 + 3*g**4 to x*g**3 + f*g**4 + t*g**2 + s + k*g and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**5\/20 - s**4\/3 + s**3\/3 + s. Let k be 1 + 10\/(-14) + (-570)\/133. What is w(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ipiiiiiid. What is prob of picking 3 i?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*x - 267*x + 86*x - 75*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -751*k + 66*k - 2505 = -9355 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5 + 29*u**4 + 31*u**3 - 29*u**2 - 30*u.\nAnswer: -u*(u - 30)*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 2 - (-12 + (-4 - -5)). Find the second derivative of 75*r - 45*r - 38*r - z*r**4 wrt r.\nAnswer: -108*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69 and 3524788?\nAnswer: 243210372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (-95 + 63))*(-4)\/(-23).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2025 - -a49?\nAnswer: -1087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.04 (b) 1\/6 (c) -5 (d) -94\/7 (e) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + (sqrt(76) + -2 - sqrt(76)) - 1*(sqrt(76) + (sqrt(76) - (sqrt(76)*1 + sqrt(76)))))*-3)**2*5 + -2)*-2.\nAnswer: -806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/2559 and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -61*z + 6473. Let w(a) = 85*a - 9710. Calculate -7*n(y) - 5*w(y).\nAnswer: 2*y + 3239","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvfvtffcftttf. What is prob of sequence tc?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246995 = 22*x - 6*x - 246739 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 19 - 250. Let f = m + 235. Let v = 1551\/20 - 291\/4. Is f bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**39*t**(-6\/11))\/(t*t\/t**(-41)*t\/t**(-8\/17)*t*t) assuming t is positive.\nAnswer: t**(-15711\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 + 10331872869 - 5165936434 - 5165936435.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (10 - 8)\/(4\/6). What is the nearest to -0.1 in 8, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-36)\/(-66)) + (-840)\/112.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -892 + 1009.6. Let b = -117.5417 + c. What is b rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -3, -5, -655, -157 in decreasing order.\nAnswer: -1, -2, -3, -5, -157, -655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30\/37 and 17\/4218.\nAnswer: 4218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 3*v - 2*v + 125 = 0, -5*g + v = -149. Suppose 25*j = g*j - 5755. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r + 12*r**2 - 8*r**2 + 8*r. Let l(b) = -14*b**2 + 12*b**2 - 41*b**2. Determine l(x(z)).\nAnswer: -688*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 236*p**2 + 27*p. Let l(f) = 470*f**2 + 50*f. What is 5*l(u) - 9*v(u)?\nAnswer: 226*u**2 + 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16523?\nAnswer: 13, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77808804 to the nearest integer?\nAnswer: 8821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-2)*((-39)\/15 + 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 24+0.28507\nAnswer: 24.28507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 8)*((-51)\/(-15) - 3). Suppose l - b*a + 216 = 0, -l + a - 175 = 38. Let r = 380 + l. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -33158, -33179, -33192, -33179, -33122, -33003, -32804?\n\"Answer: 3*w**3 - 14*w**2 - 33147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5007 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(396)*-5 - (sqrt(396) + -1 + sqrt(396) + sqrt(396) + sqrt(396))*5) + (-2*sqrt(99) - sqrt(99))\/sqrt(9) + -4 + 1 + sqrt(176) + 0)**2.\nAnswer: -716*sqrt(11) + 352455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59100, -118227, -177354?\nAnswer: -236481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0643 plus -4008?\nAnswer: -4008.0643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 8*q**2 - q + 11. Let l be h(8). Put l, -2, -1 in increasing order.\nAnswer: -2, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324 = -278*f + 197*f, -44 = -3*d + f for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*p = -32, -p + 0*p = 5*i - 36. Solve -n - f + 0*f = 5, 3*f = -n - i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 748454457.\nAnswer: 3, 249484819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - b = -3*q + 170, -5*q + 4*b = -320. Let j = q + -23. Suppose -2*t - j + 149 = 0. Does 44 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + f = 0, -3*m = -4*f - 1 + 11. Let j(n) = 2*n - 3. Let k be j(m). Let z = -3.45 + 19.45. Is k greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/107 + -228\/749. Let t = -0.1 - -0.2. What is the nearest to t in 1\/4, 2, r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7146124.0000076 + -7146117. Let l = -7 + a. Round l to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214959?\nAnswer: 3, 79, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11)\/5 + 44\/(-55). Let y be 3*(4 + 10\/k). Suppose 8 = 5*w - y. Solve w*a - 3*g - 2*g + 3 = 0, 2*g = 4*a + 14 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - 51357?\nAnswer: -51368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -5*s - 5*n, 3*n + 0*n + 14 = s. Suppose -6 + s = 4*c. Suppose c*k - 36 = -2*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 f, and 1 s when three letters picked without replacement from rensefasr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 67 or 151372?\nAnswer: 151372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-10)*k*k**(-15)\/k*k\/(k\/k**(1\/7))*(k\/(k*k**(21\/4)\/k))\/k assuming k is positive.\nAnswer: k**(-843\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from {u: 2, p: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 628425 and -558 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 570, -0.3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -699 in -0.2, -9, -1.1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -16649, -38159, -59675, -81197, -102725, -124259, -145799?\n\"Answer: -3*c**2 - 21501*c + 4855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gqbgbgffg. What is prob of picking 1 q, 2 f, and 1 g?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 173*m**2 + 3*m + 1. Let d be w(-1). Let s = 174 - d. What is the nearest to 4\/7 in s, -4\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 10*q - 6 - 2 + q**3 - 14 - 9*q**2 + q. Let z be c(8). What is the third derivative of 5*d**4 + 19*d**z - 10*d**5 - 5*d**4 wrt d?\nAnswer: -600*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (2 - 4) - (1 - 9 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/(-14) - (-1 - 2) and 15\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216339336 by -54084834.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25 - -2) + -9 + (20 - 16).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 3. Let b be a(-5). Suppose -5*g + 3*l - 4*l + 2936 = 0, b*l + 585 = g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 2*w**2 - w. Let j be o(-1). Let p(h) = -5*h**3 - h**2 - h - 2. List the prime factors of p(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17165 divided by -1\nAnswer: 17165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 3*r**2 + r + 2. Let s be y(2). Let i be -2 + (-60)\/6*2\/(-4). Factor s*w**4 - 18*w**4 + 2*w**5 - 14*w**2 + 4*w + 0*w**5 + 18*w**i.\nAnswer: 2*w*(w - 2)*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 247*o**5 - 264*o?\nAnswer: 4940*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421*q**3 + 423*q**3 + 431*q**3 + 423*q**3 - 2112*q**3 + 416*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4 - 2. Suppose 0 = -p*n - 269 - 419. Calculate the remainder when n\/(-9) - 8\/36 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 5 - 1 - 2*z**3 as l*z + g*z**2 + x*z**3 + f and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 71*p + 5. Let s(a) = -72*a - 4. Calculate 3*s(k) + 2*u(k).\nAnswer: -74*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-4 - (4 - -2) - (0 + -6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 70*y**2 - 811*y + 877. Let u be w(80). Let c = 3 + -3.05. Let d = 7 - 6. What is the closest to c in u, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2 - 1 - 3 + 13*j**2. Let h be a(-9). Let x be 6\/8 - h\/(-12). Calculate the greatest common factor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20 + 42. Suppose j = -4*z + 182. Suppose -4*i = 3*l - i - 36, -z = -4*l + 4*i. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239*o - 7*o = 0. Solve 32*v - 210 + 18 = o for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/6256935 and 14\/51.\nAnswer: 6256935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 705, 6547, 12401, 18273, 24169, 30095?\nAnswer: 36057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2 (c) 0.3 (d) 0 (e) -0.0337 (f) 1 (g) -657\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t - 18. Let i be n(6). Let k be (-4)\/(-3)*i\/(-96). Let k - 1\/6*v**2 - 1\/6*v = 0. Calculate v.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f - 147. Let j(u) = 165*u + 2. Give q(j(h)).\nAnswer: -495*h - 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 y when three letters picked without replacement from ccyccccccccy?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 64\/4 + -790 + 822\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 165*q - 680*q + 175*q + 172*q + 167*q. Let l(i) = -34*i**2 + 17. Calculate l(p(f)).\nAnswer: -34*f**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -14 + 18 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(((-6)\/9)\/2). Let s = i + 11. Let a = 9 - 3. Solve d + a = s for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -318*0.5.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 66955 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107 + -17. Let d = 18 - 18. Suppose r = -d*r + 5*j + 33, 0 = 5*r - 2*j - 96. Calculate the highest common factor of r and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*a**4\/9 + 8624*a**3\/9 + 2414*a**2 + 9244*a\/9 + 1088\/9 = 0.\nAnswer: -2, -1\/4, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2 = -3*j. Suppose -c = 3*p + 12, -j*p - 13 = -c - 0. Sort p, -4, -2 in increasing order.\nAnswer: p, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 1\/2*m**3 + 1\/4*m**4 + 0*m**2 + 0 - 2*m. Solve h(o) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((-24 + -2 - 52) + 11 + 4 + 0)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(128))**2 + -4.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1410*l + 1421*l + 3 + 0. Let a(c) = 10*c + 4. Calculate -3*a(t) + 4*w(t).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -23*d**3 + 120*d**2 - 17*d - 22. Let g(o) = -144*o**3 - o**2 - o - 1. What is the remainder when g(-1) is divided by y(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139694402 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 82274*h - 4357732. Calculate k(-53).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -98*r - 21. Let w(u) = 248*u + 54. Let p(z) = 13*n(z) + 5*w(z). Let y(q) = 34*q + 4. Calculate 6*p(s) + 5*y(s).\nAnswer: -34*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -166*a + 1875. Let d(y) = 62*y - 1. Give d(s(x)).\nAnswer: -10292*x + 116249","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 236538 and 5?\nAnswer: 1182690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/2)*h**(1\/4))**(2\/25) assuming h is positive.\nAnswer: h**(-1\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (204\/(-8))\/17*(-16)\/204.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 336\/(-32)*16\/28\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 11, 36, 91, 188?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -32, -67, -114, -173, -244?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 4*l = 195 - 209, -3*p + 61*l - 104 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -305238.\nAnswer: 152619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 611, 1496, 2757, 4394, 6407, 8796?\nAnswer: 11561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v + 4 - 1 + 6*v**3 + 2. Let f(q) = 5*q**3 - 5*q**2 + 3*q + 9. Let k(y) = y**2 - y - 1. Let a(b) = -f(b) - 5*k(b). What is 5*a(w) + 4*i(w)?\nAnswer: -w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 934031690 to the nearest integer?\nAnswer: 30562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000920192812 to seven decimal places.\nAnswer: 0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -6*u + 3 - u**2 + 6*u. Let c(o) = 2*o. Give b(c(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -6*w**3 - w**2 + 5*w + 2. Let q(c) = c**3 + c**2 - c. Let r(x) = -o(x) - 5*q(x). Let t = -6 - -8. What is r(t)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/29))\/(z**(-11)\/z))\/(z**(3\/2)\/z)**(-3) assuming z is positive.\nAnswer: z**(845\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 112 + -114. Sort 0, -7, f in increasing order.\nAnswer: -7, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6250106 to the nearest integer?\nAnswer: 2500","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 4*p**2 - 2*p + 7. Suppose 0 = -12*m + 49 - 1. What is t(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1689697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30480?\nAnswer: 2, 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 0*j - 3*j)*(-2*j + j + 3*j) + 27*j + 61*j**2 - 27*j + 442*j**2.\nAnswer: 501*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (9 - 2204\/(-58))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q**4 - 3*q**4 - 2*q**4)*(-1 - 1 + 0).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -854, -4, 5, 4 in decreasing order.\nAnswer: 5, 4, -4, -854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -10. What is the units digit of f - -17 - (-2)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 3 + 0 + (4 + 2 - 4)*(1 - 2 + 3) + 0 + 1 + 1 + (2 + 0 - 9)*(11 - 9 + 11))*(-z**2 - 5*z + 5*z).\nAnswer: 93*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-7)\/63*3)\/(2\/(-12)). Solve -5*s - 3 = x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/69 - ((-4452)\/7245)\/4?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 7*j**2 - 3*j - 30. Let t be s(11). Let q = -407 + t. Calculate the remainder when q is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(((-10)\/15)\/(-1)). Let v be 2\/(-8) + (-7)\/4. Which is the third smallest value? (a) v (b) s (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-6 + 3 + 2)*(5 + 0 - 4) + 4 - 6 + 1)*(-4*n**3 + 3*n**3 + 3*n**3) to the form a*n**3 + t*n + v*n**2 + f and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -51. Let c = x + 52. Is c a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*25699.43.\nAnswer: 51398.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -47889 from 7.\nAnswer: 47896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -21970 rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 681988571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {x: 4, n: 6}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -204*x**3 + 36*x**2 + 18*x. Let a(f) = -f**3 + 2*f**2 + f. Give -18*a(u) + j(u).\nAnswer: -186*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1597 and 0.3?\nAnswer: -479.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -919196*l - 1860 = -919136*l for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2918414?\nAnswer: 2, 1459207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313*j**2 - 251*j**2 - 60*j**2 + 36*j.\nAnswer: 2*j**2 + 36*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27754402 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Add together 40 and 1016967.\nAnswer: 1017007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1 - 2*j + 0 + j**3 + 0*j + 2 - j**2. Let u be f(2). What is the first derivative of -5 + 7 + u - t**2 - 2*t**2 wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*r + 2*r + 15, -5*h + 6 = 4*r. What is the third derivative of 2*j**3 + 0*j**4 + h*j**2 - 2*j**3 + 7*j**4 wrt j?\nAnswer: 168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -139 + 144. Solve -l*y + 0 = 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69 + -52. What is the nearest to 0.1 in 4, d, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 30686*t - 306854. Give d(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 + -26. Let g = z + -83\/4. Let d = -2 - -1. Which is the third smallest value? (a) d (b) g (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6518, -6516, -6514?\n\"Answer: 2*a - 6520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(-4*o + 15 - 15 + 0*o + 0*o - o + (-1 + 1 + 4*o)*(-2 + 0 + 0)).\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbtt when four letters picked without replacement from {b: 3, t: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -11534?\nAnswer: -11536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 864 and 1003098.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 52458939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 4*r + 27, 5*r - 10 = -0. Let q(f) = f**2 - f - 9. What is the units digit of q(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3 - 2000*b**2 + 199212*b - 3845088 = 0.\nAnswer: 26, 78, 1896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g + g + (0 + 3 - 4)*(2*g + 4*g - 3*g) - 118*g + 39*g - 55*g)*(-g + g - g**2).\nAnswer: 136*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 2*k - 34, 0 = 5*k - 2*k - 3. Let n(s) = -6*s - 14. Suppose -70 = -5*f - 10. What is the remainder when n(o) is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 3) to base 15.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 893*c**5 + c - 21992 wrt c.\nAnswer: 17860*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -649 - 63.623?\nAnswer: -712.623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert a6 (base 16) to base 3.\nAnswer: 20011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123610104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1452331043 + 0.73.\nAnswer: -1452331042.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 8*z - 2*a - 10, -2*z + a + 5 = 0. Suppose 0*h - 4*h = z, 5*p - 3465 = 4*h. What are the prime factors of p?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.13 in 0.4, -30\/41, 0.2, 2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4235 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -3. Suppose -2*x + 130 = 2*r - 250, 2*x - n*r - 394 = 0. What is the greatest common factor of x and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 120 (c) -3 (d) 2\/17 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247895 is divided by 61971.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u - 21. Let k be l(-7). Suppose -5*f = 2*d, 0 = 3*d - 3*f - 0*f - k. Solve 0 = 2*q - d*q + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/9 - (-96)\/9. Let v = 27 - n. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, s: 2, p: 1, b: 1}. What is prob of picking 3 o and 1 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 + 16*a + 18. Calculate the remainder when 123 is divided by i(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.48868 and 116?\nAnswer: 113.51132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 56930.89, 0, -0.012?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2 + 3*k. Calculate j(5).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -180633 divided by 2?\nAnswer: -180633\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 - ((-27)\/(-6) + -6)*4. Solve -4*s + a*s + 8 = -3*l, 5*s = 5*l + 5 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20049590 divided by -4009918\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/42*-3 + 74\/14. Suppose 0*f - 45 = -p*f. Solve 0 = -2*c + f*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(2\/7))\/j*j*j\/(j*j**(1\/12)))**25\/(j**2\/(j\/(j\/(j*j**(-6))))*j*j*j**(-8)*j*(j*j\/(j**(4\/5)\/j)*j)\/j) assuming j is positive.\nAnswer: j**(4861\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**2 - 1835934*f - 842663413089 = 0?\nAnswer: -917967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - n = 0. Suppose n = -3*p + 205 - 25. Let k = -39 + p. Is k a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**4 + 1 + s**2 + 4*s**2 - 36*s**3 - 4*s**2 - 2 as v*s**2 + k + t*s + z*s**4 + g*s**3 and give g.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c1 - 23959?\nAnswer: -23868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20083 and 1349?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 13*n - 25. Let o be h(-11). Sort -5, o, 0 in descending order.\nAnswer: 0, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 48107556?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/5633 and -27\/86.\nAnswer: 11266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112 - 18. Let n = q + 71. Is 55 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 - (-37 + 36)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2666*a - 18950 + 1554 - 14596 = 0 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, h: 2, c: 5}. Give prob of sequence oo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 157 = -5*q + 43, -424 = 4*y + 2*q. Let h be 36\/14 + (-45)\/y. Suppose h*r + 21 = 2*b, 0 = 4*b - 3*r + 2*r - 67. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24015 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a + 15*a - 40*a + 20*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6969967.\nAnswer: 73, 95479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/34747911 and 17\/42469669?\nAnswer: 382227021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 189268987 != 189268987?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-11 - -7)) + 2 + 3 + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 7*a + 134*a**2 + a**3 + 0*a - 6*a - 124*a**2 in the form b*a**2 + h*a**3 + s + d*a and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4799.\nAnswer: 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.8 in -4, 2\/9, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 6*n - 2. Let w be o(3). Let d be w\/((-21)\/12) - 2. Let l(k) = k**3 - k**2 - 6*k + 2. Let g(c) = c. What is d*g(q) - l(q)?\nAnswer: -q**3 + q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2217633 - 2217626.000012. Let x = 7 - g. What is x rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5)*k**(-6\/7))\/((k*k**(3\/4))\/k*k*k**(-4)\/k) assuming k is positive.\nAnswer: k**(391\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69333\/707 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*((sqrt(1088) - sqrt(1088)*1)*-1 - sqrt(1088)) + 2.\nAnswer: -40*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -192, 1, 9, 10.\nAnswer: -192, -5, 1, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 286141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**2 - 38*x**2 - 12*x**2 + 8*x - 5*x.\nAnswer: -58*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/1)\/((-3)\/4)*-1. Suppose -3*o + 29 = f*a, 5*o - 9 = 2*o. Suppose a*p = -5894 + 44. What is p rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**3 + 157*t**2 - 17*t - 25. Give h(26).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198*t = -199*t - 16. Let n(h) = -h**2 - 20*h - 28. What is the least common multiple of n(t) and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5\/391984 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 176368 divided by 44092?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -8*l. Calculate the least common multiple of i(-1) and 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 239*t = 237*t - 7, 5*t = -4*m + 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 1:57 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143803.\nAnswer: 11, 17, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j - 5*j + 3*j + 3*j + 3*j - 5*j + (-2*j + 0 + 0)*(-1 - 1 + 4) + 3 - 3 + 2*j - 2*j + j - j + 3 - 3 + j to x + z*j and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 884*l + 2842. Give f(2).\nAnswer: 4610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 6*q**2 - 2*q + 4. Suppose -5 - 7 = 2*v. Is z(v) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/291565 or -1\/61?\nAnswer: 2\/291565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432)*-5*4 + -5 - ((sqrt(75) - 5*(sqrt(75) - -1*sqrt(75))) + (-1 + sqrt(75) + sqrt(75))*1))**2.\nAnswer: 1640*sqrt(3) + 126091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-11)\/x)**8)**(-3\/31) assuming x is positive.\nAnswer: x**(264\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011101111011110110011 (base 2) in base 16?\nAnswer: -2ef7b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*4258598.\nAnswer: 2129299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -84*b**2 - 3*b - 2. Let w be y(-1). Let f = -81 - w. Let j(d) = 7*d**2 - f*d + 147 - 146 - d**2. Calculate j(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q + 18. Let c(i) = i - 3. Calculate -34*c(m) - 6*p(m).\nAnswer: 2*m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -479144, -479135, -479126, -479117, -479108, -479099?\n\"Answer: 9*l - 479153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76, -146, -216, -286, -356, -426?\nAnswer: -496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t - 7. Let i be b(-7). Let l(q) = -q**2 + 6*q + 2. Let v be l(i). Let o = -2 - v. Solve 3*w + o*m + 18 = -0*m, w + 18 = -4*m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -1, 1\/2, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yppyppppppycy. What is prob of picking 1 c and 2 y?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 d, and 1 x when three letters picked without replacement from qhhqhqqqhccxdqhqqhqq.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**4\/12 - 5*m**3\/3 + 208*m**2. Calculate z(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 3. Let t be j(0). Let i(a) = -a**2 - 3*a + 2. Let k be i(t). Let z(h) = -1 + 3*h - k*h + 1. Let x(r) = -9*r. What is z(x(f))?\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6863826.89 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d - 64. Let v(c) = 3*c + 131. Calculate 5*u(g) + 3*v(g).\nAnswer: -g + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + 8 - (1 - 13)) + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*b - 4404 = -1803 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(2\/((-24)\/4)). Let z be 1*u\/12*0. Suppose 4*a - 137 = -5*r, -3 = -a + 5*r - z. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (4 - ((3 - 7) + 12 + -7))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 637?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4.568552 kilometers?\nAnswer: 4568552000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 187, 187, 179, 157, 115, 47, -53, -191?\n\"Answer: -t**3 + 2*t**2 + t + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28 + (-6)\/(-3) + -4. Suppose -2*p - 34 - j = -5*h, -3*p = 0. Let x be 4 + ((-28)\/h - 2). What is the nearest to x in -7, 0, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 80 = -4*j - 26, j + 8*o - 69 = 4*j + 2*o for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o - 7. Let p be a(11). Suppose 4*l = 46 + p. What is the remainder when 35 is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9140 + 45697\/5. Sort 0.5, -0.13, u, -1, 4 in descending order.\nAnswer: 4, 0.5, -0.13, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2015, -2014, -2013, -2012?\n\"Answer: h - 2016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 - 8773*h + 43811. What is m(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - t. Suppose 5*i = 3 - 8. Let p be d(i). Let y = 45\/4 - 11. Which is greater: p or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**5\/45 - 5*z**4\/2 + 188*z**3\/9 - 8816*z**2. Factor h(c).\nAnswer: -4*(c - 2)*(c + 47)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*z - 15*z - 16*z + 786. Suppose 4*t + 1288 - 356 = 0. Let y = t + z. What is y rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/((-1)\/12 - 0). Let h = 7 - 4. Suppose c = -4*m - 4*c + 23, -m - h*c - 3 = 0. Calculate the greatest common divisor of m and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1)\/(h**(-22)*h)*(h\/(h*h**(-6)))**(-13\/2) assuming h is positive.\nAnswer: h**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111243961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.3, 2\/7, 356.2, 1 in descending order.\nAnswer: 356.2, 4, 1, 0.3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 - 51. Suppose 3*p + 101 = -2*p - 3*x, p - 2*x = -28. Let u = -8 - p. What is the remainder when o is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -61 - (-31 + (-8)\/2)*-2*(-47)\/235?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 194703, 0.4 in ascending order.\nAnswer: -6, 0.4, 194703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence on when two letters picked without replacement from {n: 1, q: 1, k: 2, j: 2, o: 1, e: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2. Let p(o) = 3*o**3 - 2*o**2 - 4*o + 12. Let j be p(3). Let y(q) = j*q**2 + 84*q**2 - 76*q**2. Determine y(z(r)).\nAnswer: 284*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15, 29, 31, 15, -25, -95?\n\"Answer: -o**3 + 21*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3889 (base 14) in base 15?\nAnswer: -2e16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -943 in increasing order.\nAnswer: -943, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*a**4 + 83*a**4 + 70*a**4)*(-32 + 105 + 44 + 88).\nAnswer: 25420*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/5 - 34963*w**2\/5 + 5586122*w.\nAnswer: w*(w - 34145)*(w - 818)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-40) + (-117)\/(-5). Differentiate 5 - 1 + 18*r**3 - u*r**3 - 2 wrt r.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (372\/55924*82)\/(10\/22)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3985.2 - -3985. Is -5\/34 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.38739 to one decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 658732693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29500 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275.5 - -57.\nAnswer: 332.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 10:03 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 62\/22 + 32\/176. Suppose -58 = -p*g + 59. Let o(w) = -39 + w + g. Let q(t) = 6*t. Calculate 21*o(c) - 3*q(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -38, -51, -82, -137, -222, -343?\n\"Answer: -w**3 - 3*w**2 + 3*w - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -973*k**2*y**2 + 13*k**2 - 4*k*y + 6*y wrt y?\nAnswer: -1946*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13119274 to the nearest integer?\nAnswer: 3622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4286642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410073?\nAnswer: 3, 136691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51 - 52 - 6\/9*9)*1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 30 + -4 + -23\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**3 + 58*w**2 + 7*w - 39. Let a be m(-19). What is the greatest common factor of 19467 and a?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -1, 23, 0 in descending order.\nAnswer: 23, 0, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -28\/15 (b) 0 (c) -2\/9 (d) -3\/10 (e) -28 (f) -2\/117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 417, 796, 1485, 2532, 3985, 5892?\n\"Answer: 8*c**3 + 107*c**2 + 2*c + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evnvsqensuesqs. Give prob of picking 1 e and 2 n.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 840 and 16548.\nAnswer: 165480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*j**2 + 3)*(-3*j**2 + 3*j**2 + 2*j**3) + 5*j**5 - 3*j**5 - j**5.\nAnswer: -3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -570 or -569?\nAnswer: -569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b**2 + 1. Let j be s(1). Suppose 0 = -k + 3*t - t + j, t + 5 = 0. Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*q**2 - 10*q + 0*q + 10*q + 0*q.\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -59*w + 14. Suppose 56 = q + 6*q. Let n be k(q). Is (-6)\/(-9) - n\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g\/g**2)\/g*g)**(-41)*g**(-4)\/((g**8\/g)\/g*g))**(14\/5) assuming g is positive.\nAnswer: g**(-154\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -14. Suppose -4*t + 41 = -0*m - x*m, 3*t - 2 = -2*m. Suppose -13*a**4 + 5*a**t + 38 - 38 + 4*a**5 = 0. Calculate a.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + -11 + (-16 - 6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from {f: 1, r: 3, a: 3, i: 5, h: 1}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 a when three letters picked without replacement from {q: 1, o: 2, r: 4, a: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3051481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 2:11 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-4))\/((-3)\/(-24)). Let c(f) = -16*f. Let p be c(z). Let t be 13125\/2*p\/(-18). Round t to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1329 is divided by 111.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**5 - 6*h**4 - 30*h**3 - 34*h**2 - 12*h = 0?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*q. Suppose q*p = -5*p + 70. Is -1 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 143040818 to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3710952?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(13) + sqrt(13) + sqrt(637)*2)*2.\nAnswer: -160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (4 + 0 - 2) - (0 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 39*m - 23. Suppose -r - 31 = -5*s, -2*s + 0*r - r = -11. Is k(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16 - 10) + -4 - 1*4. Put l, -17, 1, 8 in decreasing order.\nAnswer: 8, 1, l, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-12) + (-1249)\/(-3). Let f be 4*214\/4*-1. Let o = q + f. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504618378.\nAnswer: 2, 3, 11, 17, 19, 23671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**5\/40 - u**4\/8 - u**3\/3 - 3*u**2. Let r(v) be the first derivative of m(v). Let c = -132 - -135. Calculate r(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -342, 2, 1, 105, 0 in ascending order.\nAnswer: -342, 0, 1, 2, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2607307 and 0.00732284.\nAnswer: -2607306.99267716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 18*x**5\/5 - 2*x**2 - 225*x + 75. Differentiate v(p) wrt p.\nAnswer: 72*p**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 66 and 121 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 27320546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 x when four letters picked without replacement from wwbffsxsxfxxbwxwf?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3027362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**37*l\/(l\/(l*l**(2\/105)*l*l))*l**(1\/8)\/(l*(l*l**3*l)\/l*l) assuming l is positive.\nAnswer: l**(-32639\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39732 and 627?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2477, -4463, -6435, -8387, -10313?\nAnswer: -12207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 - -52. Suppose 5*y + 18 - 33 = u. Solve t = l + 2*l - 5, 0 = y*t - 2*l - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 38*w**2 - 109*w + 453. Give a(-41).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 292 + 2*c + 23 + 139 + (-1 - 1 + 1)*(-c + c - 2*c) + 3*c - 2*c + 2*c + 3 - 3 - 9*c + 0*c + 2*c - c to v + m*c and give v.\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 40*b**2 - 78*b + 263. Calculate g(-42).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.26 - -3.26. What is the nearest to -0.3 in -5, t, -0.4, -29?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -30, -74, -156, -288?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**5\/70 - 11*i**4\/21 - 73*i**3\/21 - 50*i**2\/7 - 1431*i. Suppose u(t) = 0. What is t?\nAnswer: -2, -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10702561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((-4)\/32)\/(75\/150).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.81062 centuries?\nAnswer: 18.1062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25 + 1092\/42 - ((-90)\/20 + (-2)\/8)\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 18.3. Let t = k - -0.300012. Round t to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*(sqrt(11) - (-1 + -2 + sqrt(11)))*5)**2.\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 4*d**2 - 3*d. Let v be j(2). Suppose 9 = v*r + 1. Let w(p) = 2*p**2 - 64 - 5*p - 56 + 122. Determine w(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75207316533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6\/53 + 2397\/106. Let f = i + -177\/8. Is f < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-2)*3\/(-18). Let s = -4.1 + 17.6. Let j = -14 + s. Which is the nearest to n? (a) -2\/5 (b) 0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-114 - (374 - 375 - (-4 - 0))).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**6\/120 - 2*k**5\/5 - 11*k**4\/8 + 14*k**3\/3 + 158*k**2. Does 4 divide r(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = o + 15 - 5, 0 = o - n. Let t = o + -2. Suppose t*y - 16 = -4. What is the lowest common multiple of 3 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -2*w + 5\/4*w**4 + 6 + 7\/2*w**2 - 3*w**3 - 1\/5*w**5. Factor i(d).\nAnswer: -(d - 2)*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 - (-25 - 10) - (10 + 22)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (10 - (3 - -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-6))\/(-2 - -1 - -2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8468.864 kilometers in centimeters?\nAnswer: 846886400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.044282 - 469.434282. Let v = -471 - n. What is v rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/13, -1\/3, 5, 1.13, 0.013, 4, 3?\nAnswer: 1.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 7:18 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -244475, -244473, -244471?\n\"Answer: 2*h - 244477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**3\/9 - 8*p**2 + 88*p\/3 - 256\/9 = 0.\nAnswer: 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3b8e - -5?\nAnswer: -3b89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 107671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/21, -2, -3\/2, -3\/10, 3\/2 in decreasing order.\nAnswer: 3\/2, 4\/21, -3\/10, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 946880 and 1360.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/6 + 8\/12. Let a be 1135\/364 + -4 - (-4)\/(-26). Let w = a + 3\/4. Put w, 3\/8, f in descending order.\nAnswer: 3\/8, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.28 - -0.059\nAnswer: -3.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n - 23. Let i be o(-19). Let s(u) = 4*u - 52. Let a be s(i). Suppose 23 = 5*c - 17. Calculate the highest common divisor of c and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -6*x - 28. Let n(u) = 4*u**2 - 19*u. What is n(j(y))?\nAnswer: 144*y**2 + 1458*y + 3668","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -217.879 times -0.3?\nAnswer: 65.3637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 1\/3*w**3 - 18*w + 15 + 17\/2*w**2. Let t be a(-9). What is t rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + (-3 - (-20)\/4). Which is the third biggest value? (a) 0.1 (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 3*y - 9. Let g(n) = -n**3 - n**2 - n + 2. Let b be g(0). Suppose 0 = -b*h, -4*d + 2*h = -2*h - 28. What is the tens digit of k(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l + 117. What is q(27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.3 (b) 1 (c) -198\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -303 less than or equal to -303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5842 + 5838. What is the nearest to 5\/3 in -0.3, -2, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence po when two letters picked without replacement from {g: 2, e: 1, p: 1, b: 3, o: 3, y: 3}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-143)\/(-91) + (-6)\/(-14)*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 101.\nAnswer: -5\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -8. Suppose 3*q + 42 = 7*q - u, -j*u = -q + 18. Suppose 3*z = -2*z + 125. Calculate the greatest common factor of q and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w**2 + 26*w - 9. Let c = 186 - 196. What is the units digit of p(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1437\/671096 or 1?\nAnswer: 1437\/671096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 20 = 7*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 50 - 92. Let m be 3 + -2 + 0 + -5. Let r be m\/14 - (90\/n + 2). Solve c + 6 = -3*p, -r*c - 9 = 3*p - 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 17335*v = 17332*v + 43968. List the prime factors of v.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -27. Let n = -21 + c. What is the common denominator of n + -106*4\/256 and 59\/12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 2*p**2 + 5*p + 3. Suppose v = 6*v + 15. Let g be i(v). Let w(m) = 5 + 4*m - 8 - 5*m. Determine w(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/96 and -89\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 317.5 and -881.739.\nAnswer: -564.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126 + -87. What is the common denominator of -79\/12 and w\/12*12\/(-10)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -45*w**3 + 565480*w**2 = 0.\nAnswer: 0, 113096\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**3 + 4*b**2 + b**3 - b**2.\nAnswer: 6*b**3 + 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-4)\/(-36)*18\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 11222410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.10034 + 0.00034. What is the second biggest value in u, -1, 0.2, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - 6. Suppose -184 = -17*p + 20. Let n(j) = -j**2 - p - 213*j + 201*j + 10. What is n(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - p - 52, 5*d - p = 2*p + 80. Suppose -2*a = -h - 11, h + 5*a - 43 = -d. Let j = -11868 - -11871. Sort j, -0.5, 2\/9, h in descending order.\nAnswer: j, 2\/9, -0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 147723960.9592?\nAnswer: 147723961.1592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaataata. Give prob of picking 2 a and 1 t.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95 and 313557.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1869, 45, 3 in decreasing order.\nAnswer: 1869, 45, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 671.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -422\/3929?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4 + 33 - 29 - 2*g. Suppose -3 = -0*c - c, -4 = 2*y + 2*c. What are the prime factors of z(y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.7*7\nAnswer: -25.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/15 - 62*x**2\/5 + 612*x\/5.\nAnswer: -2*x*(x - 9)*(x + 102)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 8. Let l = 1 + c. Let y = l + 5. What is the smallest common multiple of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6657 is divided by 249?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 128\/67937?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and 441373.\nAnswer: 441371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9353\/4 + 2362. Find the common denominator of z and 16\/1 - 2\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (18\/22 + (-14)\/(-77)). Suppose 3*k - 193 = -2*b, b + 6*k - 104 = f*k. Suppose -2*r + 6*i + b = 5*i, 10 = -5*i. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 3:31 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -28338 minus 992195?\nAnswer: -1020533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and -4.7.\nAnswer: 3.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 13) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120094018?\nAnswer: 2, 11, 17, 107, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 882397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 f, and 1 p when three letters picked without replacement from fpffvpfvvvvpftvvt?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1519, 0, 13, -4, 2351 in decreasing order.\nAnswer: 2351, 13, 0, -4, -1519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.055777 + 0.03772. Let n = o + -0.073107. Let p = 0.091 + n. What is p rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**5\/60 + o**4\/6 + 7*o**3\/6 - 5*o**2. Let j be i(4). Let l be 4\/j - 0\/5. Put 2, l, -0.3 in decreasing order.\nAnswer: 2, l, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1887455.19586 + 4.19586. Let i = k + 1887136.9742. Let s = i - -314. Round s to 3 decimal places.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 3*s**2 + 2*s - 4. Let i be b(3). Let n = -1 + 4. Suppose -x - 2*z = -11, 3*z + 0 = n*x + 3. Solve 0 = o + x*m + 2 + 3, 0 = -m - i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 5. Suppose -n*u + u + x = -595, 5*x = -20. Is 34 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/99)\/((-8)\/(-408)*17)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -0.7, 0.4, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + -46.28. Let z = -0.82 - q. Round z to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**2. Let p(b) = -9*b**2 - 9. Let k(x) = -1. Let i(u) = 9*k(u) - p(u). Calculate c(i(w)).\nAnswer: -162*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112 + -43. Let u = v - -73. Let f = -71.8 - u. Round f to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0541 - -0.0088. What is t rounded to three decimal places?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574411093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.21424738 - 0.11424671. Let i = -0.03 + -0.07. Let m = i + b. What is m rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103\/15 + -20\/3. What is the nearest to t in -5, 1\/3, -1\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - x**2 - 3*x**2)*(-6 - 4 - 14)*(4 - 2 + 1).\nAnswer: 288*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3884254?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1655927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -16*a + 101. Calculate m(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390*h**3 + 387*h**3 + 0*h**2 + 0*h**2.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68396792 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = k - 2. Let t(j) = -j**2 - 13*j + 30. Let b be t(k). Is (6 + -3 - b)*24 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 6. Let x be j(0). Let p(h) = 2*h**2 - 4*h - 4. Let g be p(x). What is the greatest common factor of g and 396?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 2*i + 3*i - 150*i**3 - 3*i.\nAnswer: -150*i**3 - 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -928*g + 3832*g - 964*g - 978*g - 959*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 745\/3 - 249. Let r = 2 + -4. Sort w, -3, r in descending order.\nAnswer: w, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, 5, -0.9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*b, -o + 4*o = b. Suppose f + 5 - 12 = o. Suppose -f*r + 164 + 1607 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48 - 322*l + 56 + 665*l - 334*l to the form i + o*l and give i.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4367*z**2 + 22849*z wrt z?\nAnswer: 8734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-15))\/(40\/(-100)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 14*h**2 - 23*h - 5. Let b be d(12). Let q(f) = -f - 46. Let j(t) = -3*t - 139. Give b*q(i) - 2*j(i).\nAnswer: -i - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 924561*k**2 + 2244. Let x(c) = 6604*c**2 + 16. Determine -4*f(u) + 561*x(u).\nAnswer: 6600*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*q + 10. Suppose 5*i + 2 = q*x - 9, -4*x + 2*i + 14 = 0. Let o be (-238)\/21 + 1\/x. Which is bigger: -12 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 8*l + 84. Let z = 25 + l. Let o = -8 + z. What is the remainder when 3 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3843295.9999945 + 3843279. Let k = x + 17. Round k to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 110 = -3*s. Which is bigger: 171 or s?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1028*x = 11359 + 10229 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5211914 is divided by 2605942.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27*c**4 - 22*c**3*j - 3197*j wrt c.\nAnswer: -108*c**3 - 66*c**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88636*z**3 - 88481*z**3 + 179346*z**3.\nAnswer: 2229*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**21*p*p\/((p\/p**(-1\/42))\/p)*p)\/(p\/(p*p\/(p\/p**31)))**11 assuming p is positive.\nAnswer: p**(15329\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 8*l**2 + 9*l - 13. Let o(t) = 2*t**2 - 2*t + 3. Suppose 6 = -5*k - 4. What is k*j(b) - 9*o(b)?\nAnswer: 2*b**3 - 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.9 - -3.1. What is the second biggest value in -4, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -16\/17, -2\/45, -0.5, -0.04, 1\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 20 + 121 - 5 = 0. Solve 0 = 2*o + j - 12, 8*o - s = 5*o - j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8*w - 8*w - 5*w. Let x(j) = j. Determine g(x(z)).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 230*y**2 - 6*y + 6. Let q be b(1). Let c = q + -28. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -332204004 + -1?\nAnswer: -332204010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.05, -2, -1, 112\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 9*n + 6. Let k be p(-9). Let x be k\/4*64\/6. Let w = 8 + 8. Calculate the greatest common factor of x and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/4 - ((83 - 95) + 4*2). Solve -y*m + 4*p + 204 = 226, -p - 2 = 3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 800.296104 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576984859?\nAnswer: 11, 52453169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202 (base 3) to base 6.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -7 + 3 + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86151860*c**2*h - 79*c + 115554*h + 3 wrt c.\nAnswer: -172303720*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*k + 1071 = -110*k + 52*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-4 + (33 - 59))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 230.4778 litres in millilitres?\nAnswer: 230477.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 14*b - 53. Let k be c(4). Suppose -k*o - 3*a + 15120 = 0, -4*o + 8*a + 20190 = 6*a. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 891007456.\nAnswer: 2, 31, 101, 8893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 + 106. Calculate the remainder when w is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.2 (b) 0.1 (c) -2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 14*a - 397. What is v(28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2178541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -524, 6, -3, 5, -4, -8, 1 in decreasing order.\nAnswer: 6, 5, 1, -3, -4, -8, -524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**2*u + 7*q**2 - 30696*q*u - 2*q - 66*u + 17686 wrt q.\nAnswer: -2*q*u + 14*q - 30696*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(176))\/(sqrt(484)*-1).\nAnswer: -12*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16905 or -16901?\nAnswer: -16901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 (base 5) in base 14?\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -10854.5694 to the nearest 100.\nAnswer: -10900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-23)\/3 + (-6)\/(-9). Let v be 37\/a + (-12)\/(-42). What is the smallest value in -0.6, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/17 less than or equal to -155706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 36335 (base 7) to base 2\nAnswer: 10010011011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3512812?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 68*h + 68. Is n(6) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67631*x**2 + 1451.\nAnswer: 135262*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 4522759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 123675320 to the power of 1\/2, to the nearest integer?\nAnswer: 11121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 7. Let r be z(6). Suppose 2*l + 3*y = 11, -8 = -2*l - 5*y + 5. Let g = l - 8. Which is the closest to r? (a) g (b) -2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 3. Suppose i*w + 2*w = 20. Suppose -3*p + w*m = -232, -p + m + 56 = 5*m. Calculate the highest common divisor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/3463 - 13880\/24241. Put t, 19, 0.6, 1\/9 in decreasing order.\nAnswer: 19, 0.6, 1\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4)*288\/(-48)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/372 and -59\/18.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3 + -0.1. Let t = l + -0.3. Let u = 8 + -7.9. Which is the nearest to t? (a) 2 (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*n - 7*n + 0*n + n**2 - 2 + 2*n as q*n**2 + j*n + l and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/9*(-36)\/120. What is the second biggest value in -2, 5\/4, f, -2\/19?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 320 and 25.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 7303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/((-18)\/(-30)))\/((-2)\/12). Factor 5*d**5 - p*d**3 + 45*d - 4*d**4 - 40*d**2 - 20*d**2 + 24*d**4.\nAnswer: 5*d*(d - 1)**2*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfqrgfgtqgqb. What is prob of picking 1 f, 1 g, and 1 q?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (6 - 6) - (-1 + (6 - 7)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 3, -144*q - 3*a = -139*q - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 - 4*m**2 + 2*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*y + 56464 + 47627 = -2464*y for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6012995 is divided by 3592?\nAnswer: 3579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2338 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w - 3 + 3)*(-5 - 6 + 0)*(16 - 5 + 6) to u + j*w and give j.\nAnswer: -374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 936.0785 decades to years.\nAnswer: 9360.785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/20*(-3 + 2\/(-1)). Let p be (-25 - 1)\/((-4)\/194). Suppose x*t + p = 7*t + j, t = j + 1263. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 742421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -7. Let q(b) be the first derivative of -1\/4*b**4 - 3\/2*b**2 - 4\/3*b**3 + 2*b - 10. What is q(h)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -14. Suppose 0 = z*g - 8*g + 110. Let s = -53 + 229. What is the greatest common divisor of g and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3663 is divided by 229.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 971.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 9*b = -128. Solve 3*g - 12 = 0, u + 3 = 4*g - b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2550*d**2*u**5 - 2*d**2*u**4 - 25*d**2*u**2 - 59*d*u wrt u.\nAnswer: 153000*d**2*u**2 - 48*d**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -17, -2\/5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 585 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - -460535193.1.\nAnswer: 460535193.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6416084 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 9*n**5 + 5*n**3 - 10*n + 5. Let v(u) = -4*u**5 - 3*u**3 + 5*u - 3. Let q(m) = 3*l(m) + 5*v(m). What is the second derivative of q(h) wrt h?\nAnswer: 140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007267121 rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5*-28.532948\nAnswer: 142.66474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 36\/27 + -1 + -4 + 3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*c - 45*c - 21 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*p + 5580 + 1440 = -160*p for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 16 = 55. Let v = -10 - f. Suppose -p = v*p - 28. Solve d = -g + p, d + 3 + 2 = 5*g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, k: 2, y: 2, q: 4}. What is prob of sequence kjj?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 248471262 to the power of 1\/4, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 124 (c) -85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-1000)\/100)\/(7\/((-21)\/(-6)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 188745 and 45?\nAnswer: 566235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 b when three letters picked without replacement from beebe.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12558 and 8045674?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 17*b + 9. Let s be g(14). Suppose 2*k - 5*k = 0, 0 = -4*j + 4*k + 16. Suppose s = a - j*o + o, 3*a + 5*o = 97. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 255\/102*(-610)\/(-6) - -1. Is 258 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 9547*o**4\/24 + 3613*o**3\/2 + 37*o**2 + 9*o - 2. What is the derivative of f(z) wrt z?\nAnswer: 9547","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 231 - 335. Let w = p + 61. Let z = 43.00029 + w. Round z to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 30233001?\nAnswer: -30232332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 83*p + 72 + 361 - 101. Which is smaller: p or -117?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -95*r**4 - 5*r**3 + r**2 + r + 63. Let a(k) = -47*k**4 - 3*k**3 + k**2 + 31. Let z(j) = 5*a(j) - 3*i(j). What is the second derivative of z(m) wrt m?\nAnswer: 600*m**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7*s**2 - 3*s. Let i(m) = 9*m**2 + 10. Let d(x) = -2*x**2 - 2. Suppose 0 = -39*y + 39. Let k(z) = y*i(z) + 5*d(z). Calculate k(g(p)).\nAnswer: -49*p**4 - 42*p**3 - 9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.99 - 0.19. Let r = -1.1 + x. Let w = -0.3 - r. Is w greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -21*m. Let s(i) = -220*i**2 + 9*i - 6. Let f(o) = -18480*o**2 + 759*o - 506. Let a(x) = -3*f(x) + 253*s(x). Determine b(a(y)).\nAnswer: 4620*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 5*i - 4*i - 2*i - 4*i + 4*i + (5 - 5 - 2*i)*(0 - 1 + 2) + 0*i + i + 0*i + 2*i - 3 + 3 - 2*i + i - 7*i)*(-2*i**4 + 2*i**4 - 2*i**4).\nAnswer: 22*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11188 is divided by 267.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/5, -2\/7, -0.45, -5, 4 in decreasing order.\nAnswer: 4, 0, -2\/7, -2\/5, -0.45, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -128 - -88. Let j = z + 37. Which is the closest to 4\/3? (a) 2\/13 (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*q + 21392 = 373*q + 822*q for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 347.9 rounded to the nearest ten?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 171253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1020)\/595)\/(4\/14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2110*a + 1018*a = 49140 for a.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 - 23. Suppose c + 0*c - 3 = 0. Put -2, a, c in ascending order.\nAnswer: -2, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 + 16\/12)*117 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 8*y + 2. Let o be q(-8). Let t = 2 + o. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6874.29 milliseconds to seconds.\nAnswer: 6.87429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -37*q**4 - 1034*q**3 + 93*q**2 + 1034*q - 56 = 0. What is q?\nAnswer: -28, -1, 2\/37, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 - 42. What is the smallest value in 1\/8, 0.4, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.16 - -22.06. Let j = g + -19. Are j and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 52\/5. Suppose 2*q + 6 = 4*q. Suppose t + q*t = 12. What is the closest to g in -3, 0.5, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -52557859 - 8462111. Suppose 0 = 3*o - 5*b - v, -o = 3*o - 4*b - 13559996. What is o rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + sqrt(13) + (sqrt(1573) + -3)**2)*4 - (-4*1*sqrt(143))\/(sqrt(44)\/(sqrt(4)*1) + sqrt(11)).\nAnswer: -258*sqrt(13) + 6320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 5*i = 21, -9*s + 5*i + 24 = -8*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 1. Let z be j(-2). Suppose z*r = 3*r + 52. Suppose 117*t = 107*t + 510. What is the remainder when t is divided by r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**5*v**(2\/5)*(v*v**(-1)*v)\/(v*v**(4\/5)) assuming v is positive.\nAnswer: v**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35 + -23. Suppose 0*t + 450 = 5*t. Let m = 102 - t. Calculate the highest common factor of a and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5462.6 to the nearest 100.\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.1, 25, -0.3, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 6, t: 3, g: 5, b: 2, a: 1}. Give prob of picking 1 t, 1 a, and 2 z.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122.7 - 0.061.\nAnswer: 122.639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**5 + 3282*d**4 - 868362*d**3 + 9215374*d**2 - 15838800*d + 7488504 = 0.\nAnswer: -1874, 1, 9, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 19*c**2 + 17*c + 6. Let b be r(18). Let a(j) = -j + 13. Let q be a(9). Suppose q*m + 64 - b = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = -4*r + 59. Suppose 0 = 3*g - c - 15, 3*g - 3*c + 7*c = 30. Calculate the highest common divisor of g and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 657 - 3953\/6. What is the common denominator of j and 31\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2002 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b8789 (base 12) to base 7.\nAnswer: 20520204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -384, -390, -406, -438, -492, -574, -690?\nAnswer: -846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 + -28. Suppose -4*c - 5*b + 104 = 0, c - 2*b + b = 17. Suppose -c - 19 = -u*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 99, -75, 15 in decreasing order.\nAnswer: 99, 15, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 33*x - 64 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -701.04.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 640b + -3?\nAnswer: 6408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 590, 637, 724, 857, 1042, 1285, 1592?\nAnswer: 1969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212801051?\nAnswer: 547, 563, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 5:46 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/112 and -79\/68?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18208 by 569.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 3:56 PM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1759, 4265, 8439, 14281, 21791, 30969?\nAnswer: 41815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 520523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -365798209 divided by 3\nAnswer: -365798209\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 - -1 - 1 - (-191 + 188). Let w(i) = -3*i**2 - 2*i - 3. Calculate w(g).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-8)\/6)*1\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*w - 2*w - 2*w)*(-55*w**2 + w**2 + 31*w**2).\nAnswer: 23*w**3 + 23*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 + -3310?\nAnswer: -3211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-91 + -1 + (25 - -6)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 12 = p. Suppose 3*f + 2*h = 44, p*f - 38 - 17 = h. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4334 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/64099?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from {j: 1, l: 1, a: 1, d: 1, t: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 897?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3907700 divided by -10\nAnswer: 390770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.2, -1, 1\/6, -0.02?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b - 452 = -398. Let n = 1 + -1. Suppose b*o = -p + 84, n*p = -p + 4*o + 54. What are the prime factors of p?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -42*w**3 - 4*w - 1. Let g be k(2). Let f = g - -358. Solve 5*d + 8 - f = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105 - -135. Let o(r) = g*r**2 - 2 - 1 + r**3 - 26*r**2 - r. Determine o(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28b + 0?\nAnswer: -28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 0*j + 29 - j**2 + 7*j - 26 - 2*j. List the prime factors of i(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 13*b**3 + 2*b**2 - 4*b - 2. Let q be r(3). Let k = 355 - q. Solve k = 3*n - 3*t + 6*t - 21, 5*n - 27 = -t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 188*o + 4 - 4 - 126*o + 0.\nAnswer: -314*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-7 - (-14 - -9)). What is the remainder when (15\/(-10) + s)*(9 - 11) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r - 55. Let c be f(-15). Suppose 4*a - c*x - 131 = 0, -4*x + 25 = -2*a + 89. Calculate the remainder when 135 is divided by a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66904, 66892, 66868, 66826, 66760, 66664, 66532?\nAnswer: 66358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 - 3390*r + 3903*r as u*r + j and give u.\nAnswer: 513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4891 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 310 and 14725.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.95 + -0.05. Which is the fourth smallest value? (a) p (b) 0.3 (c) -4\/3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/13)*b*b**(2\/65) assuming b is positive.\nAnswer: b**(77\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51.7*1109.\nAnswer: 57335.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -7, 1384, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46101*g**5\/4 + 17067666*g**4 - 87404628*g**3 + 81187908*g**2 - 21638916*g + 320976 = 0. What is g?\nAnswer: -1486, 2\/127, 6\/11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - m - 1. Let q be 6\/(-4) - (-667)\/(-46). Let h(y) = 24*y**2 - 16*y - 32. Let u(g) = q*s(g) + h(g). Find the first derivative of u(l) wrt l.\nAnswer: 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, j: 1, z: 3, l: 2, x: 6, m: 6}. What is prob of sequence pz?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 + 112. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4580\/3, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 33*a**2 + 1553*a + 114. Give t(-47).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7357650748 + 0.1985?\nAnswer: -3.5372650748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c + 57 - 3315 = 0. Calculate the remainder when 185 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/106 in 48, -186, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3469*j + 3478*j = 0. Determine y so that j*y**3 + 0 - y**4 + 1\/2*y**5 + y**2 - 1\/2*y = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 22 = o. What is the remainder when o is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -10*k**2 - 3*k - 3. Let n = 10 + 20. Let t = n + -16. Let r(j) be the first derivative of j**3 + j**2\/2 + j - 110. Calculate t*r(g) + 4*o(g).\nAnswer: 2*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -342, -334, -326?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 51 = -4*v, 2*u = 7*u - 25. Let m(f) = f**2 - 6*f - 12. What is the tens digit of m(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4026, 8819, 14372, 20685?\nAnswer: 27758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/6 and (-219)\/111 - 3*-1.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2854 by -1427.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/330*(-25)\/(-9) - 1.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from {y: 2, h: 1, g: 1, w: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.03, 4, -6\/5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 11*r**4 - 6*r**3 - 1. Let c(h) = -11*h**4 + 7*h**3 + 2. Let i(f) = -7*b(f) - 6*c(f). Differentiate i(s) wrt s.\nAnswer: -44*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326 = 34*w - 361 - 1529 for w.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 90917 < 274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -329, -400, -463, -512, -541?\nAnswer: -544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (7 + 3 + -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1285 is divided by 219?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 429674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 9 = -95. What is the greatest common factor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 205 and 65395.\nAnswer: 65395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w - 1. What is the remainder when 5 is divided by o(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 107 = 23. Calculate the greatest common factor of 8 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**5 - o**3 + o**3)*(8 + 18 + 2)*(-4 + 2 + 0).\nAnswer: -112*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 553.4 + -610. Let n = v + 27.6. Sort -4\/7, -6, n.\nAnswer: n, -6, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h + 215 = 59*h. Solve t - 3*t = -h*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.03768?\nAnswer: -0.01884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 183313 (base 10) in base 15?\nAnswer: 394ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 41. What is the remainder when u is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 8589526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -2.1. Let k = 7 - n. Suppose 3*p - 4*p = 5. Which is the closest to 1? (a) 2 (b) p (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7147232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*w + 23*w**3 + 11*w**2 + 26*w**2 + 14*w**2 - 15*w**3 - 35*w**2 to the form o*w + u*w**2 + l*w**3 + g and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + -2*(sqrt(3) - sqrt(15)\/sqrt(5)) - (sqrt(75) + 5 + sqrt(75) + 1 - sqrt(75))))**2*-6.\nAnswer: -3744 - 2160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 154191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14 - 233 - 6615*q**4 + 6655*q**4 - 3*q wrt q.\nAnswer: 160*q**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 28 - (69 + -114)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-280)\/(-112))\/((-3)\/(-18))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/15650 and 99\/626.\nAnswer: 15650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 - 4*k**2 - 2*k. Let p be f(-2). Let u = 0.04 + 0.96. Let n = u + -2. What is the closest to n in 0, p, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.01 - -2.39. Let r = 2 - t. Round r to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200027 is divided by 50006?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 4*a - 20 = 0, 5*g - 4*a + 932 - 912 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*r**4 + r**2 - 10002*r - 6*r**3 + 10002*r as i*r**4 + w + n*r**2 + u*r + h*r**3 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 14*h - 19. Let k(q) = 3136*q - 3122. Let x be k(1). What is d(x)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rx when two letters picked without replacement from {g: 2, r: 1, j: 1, x: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -9*x**2 - 74*x - 1. Let a be p(-6). Let o = -2 + a. Calculate the highest common factor of o and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3796 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -321*p + 3885. What is s(10)?\nAnswer: 675","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -12*o + 373. Determine l(33).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 391 + -342. Let y = -44 + h. Solve -6*z = -y*z + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -399*d**5 + 115*d**3*k**2 - d*k**2 - 4*d + 1044*k**2 wrt d?\nAnswer: -7980*d**3 + 690*d*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -i - 3, -5*i + i - 2*d = -8. Suppose 0 = 2*o + i*o - 105. Let s = 905 + -892. Calculate the remainder when o is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*s + 12 = 0, -i - 4*i - 4*s = 33. Let y = i - -17. Suppose 12 = 2*k - y. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21284517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**3 + 192129*p**2 - 5*p - 138 - 192129*p**2 - 2*p**3 to the form t*p + o + k*p**3 + h*p**2 and give o.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 10*z + 10. Let m(f) = -11*f - 10. Let y(u) = -2*u**3 + u + 2. Let t be y(-1). Let n(k) = t*g(k) + 2*m(k). What is the first derivative of n(r) wrt r?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104 (base 8) to base 2.\nAnswer: 1000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 7*x - 9*x. Calculate the greatest common factor of x and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 + -0.1. Let b = -0.4 - m. Let c = 6 - 10. What is the third biggest value in -3, c, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -721 - -504. Let l = c + 216.8. Let g = 7.12 + -7. Sort l, -0.5, g in descending order.\nAnswer: g, l, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**1*h)\/(h*h*h\/h**(1\/3)*h))\/(h**(-3\/4)*h**12))**(-10\/7) assuming h is positive.\nAnswer: h**(775\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyyr when four letters picked without replacement from {w: 2, u: 4, h: 1, y: 2, o: 2, r: 1}.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/2*4*3\/(-60).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*t = 6*z + 24, -5*t - 21 = 4*z. Let v(d) = d**3 + 4*d**2 + 2. What is v(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 + 450*q - 445.\nAnswer: -5*(q - 89)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -910.186 + 911. Let h = -0.689 + b. What is h rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*l**2 + 0*l + 0*l)*(3*l**2 + l**2 - 5*l**2)*(591 - 348 - 320) to the form n*l**4 + u*l**2 + o*l**3 + k + b*l and give n.\nAnswer: -693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 246565 (base 7) to base 10\nAnswer: 45568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**4\/4 - 16965*a**3\/4 + 244881*a**2\/2 - 421950*a = 0. What is a?\nAnswer: 0, 4, 25, 5626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 12, 28, 50, 78, 112?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 6\/6071?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78*j*u**3 + j*u**2 + 307182*j*u - 2*j + u**3 + 420*u**2 wrt u?\nAnswer: -468*j*u + 2*j + 6*u + 840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**5\/7 + 8*a**4\/7 + 4*a**3\/7 - 8*a**2\/7 - 6*a\/7 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 24*g**3 - 2*g**2*i - 2*g - 2*i + 76 wrt g?\nAnswer: 72*g**2 - 4*g*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3175 + -3186. Suppose -3*g + 3*u + 12 = 0, 2*u = 4*g - g - 11. Which is the third biggest value? (a) g (b) i (c) -3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 558, 1069, 1540, 1971?\n\"Answer: -20*q**2 + 571*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 9. Let v be h(5). Let s(p) = -7*p - 3. Let u be s(-4). Suppose u = -v*y - y. Put -2, 3, y in increasing order.\nAnswer: y, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -u + 5*b + 9, 5*u + 5*b - 45 = 0. Suppose -2*t - 4 + u = 0. Sort -1, t, -13.\nAnswer: -13, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 8*b - 12*b, 0 = 5*y - 2*b + 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 150 - 134. Let c = -2 + 3. Let g be (-7)\/(-3) + c\/(-3). What is the highest common divisor of g and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3516, -7110, -10704?\nAnswer: -14298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.9 + -202.\nAnswer: -197.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8986617 - 53?\nAnswer: -8986670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62 - 28. Suppose -5*o + 3180 = 5*c, -2*c - 5*o + 74408 - 73166 = 0. What is the highest common factor of c and n?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1602412.92 rounded to the nearest 10000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1511342352 + 0?\nAnswer: 1511342352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/12? (a) -0.1 (b) -6 (c) 0.5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 11*d - 63. Let j be g(-25). Solve -280*b + 28 = -j*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 18\/21 + (-102050)\/(-175)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(980)*2)\/(sqrt(120)\/(sqrt(12) - sqrt(72)\/sqrt(54))).\nAnswer: 56*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39433568 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 545 + 413 = 3*u, 0 = -4*m + 2*u - 1900. Let o = m - -728. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 12:43 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -695\/6 + 344\/3. Let b = 1749 + -34987\/20. Calculate the common denominator of b and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2516 + -4.2516. Which is the third biggest value? (a) 1\/4 (b) t (c) 0.393\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -11 - n - 4 - 10*n. Let y be m(-7). Suppose 5*s - 2*s = -5*z + 34, 5*s = -3*z + y. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 - -235.7\nAnswer: 237.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Let k = 279 + -273. Let l(t) = -t - 3. Let i(n) = -2 - 3*n - 3 - 3*n + 5*n. Give k*i(s) - 10*l(s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 491 + -1100. Let s = -489 - u. Is 118 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 151783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = f - 5*f. Let y be 681\/(-2)*f\/(-3). Suppose -2*j + y = z + 2*z, 0 = -3*z - j + 226. Is z a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 24 = -3. Solve 181*h**4 + 7*h**r - 193*h**4 + 3*h**5 + 5*h**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -18364108 in ascending order.\nAnswer: -18364108, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 3*w = -g - 56, 0 = -5*g + 2*w - 170. List the prime factors of ((-1593)\/g)\/(6\/176).\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4676 - 1661. Suppose 5*g - 10*g - n + 3774 = 0, -5*n + p = 4*g. What is the hundreds digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w**2 + 145*w**3 + 3*w - w - 3*w**2 - 142*w**3 as o*w + y*w**2 + a*w**3 + l and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -274457016 - -274456669.485006. Let z = 150.51522 + h. Let a = 196 + z. Round a to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-827 + 416 + 365)*(-4*i + 4*i - i) + 0*i + 2*i - 4*i)*(-3*i**2 - 5*i**2 + i**2).\nAnswer: -308*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1870\/23?\nAnswer: 1870\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1534535 (base 7) to base 8\nAnswer: -633142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7490668931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4218.458462 rounded to the nearest 100?\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50 (base 10) to base 4.\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5 = 3*n, 3*n = -2*u - 1 - 3. Let c = u - -12. Let y = -74 - -112. What is the remainder when y is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 8 = 4. What is the nearest to 0 in 2\/7, 1\/3, x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -3, -2\/11, 0.2, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195293.\nAnswer: 7, 23, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8968 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19576952 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -33*k + 48. Let m(q) = -q. Let l be m(-2). Let r(w) = -3*w**l + 1 - 6*w**2 - 3*w**k. Calculate r(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -24. Let i = -1.95 + 2. What is the closest to i in 1, 5, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 8, 2*n + n + 3*o = -6. Let f(i) = 36*i + 70. Let v be f(n). Calculate the highest common factor of 84 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 2, 5, 66 in increasing order.\nAnswer: -2\/3, 2, 5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 43\/4 of a meter?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9198 and 739.6902.\nAnswer: 9937.6902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*3\/(-24) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 2*((-410)\/(-76) + 14\/133)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1106 - -141?\nAnswer: -745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 + 56. Let o = -154 + p. Put 0.3, 0, 2, o in descending order.\nAnswer: 2, 0.3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15760 is divided by 142.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -19*r + 595. Let i be h(31). Let t(p) be the first derivative of i + 125\/18*p**4 - 50\/9*p**3 + 0*p**2 + 8\/9*p. Solve t(g) = 0 for g.\nAnswer: -1\/5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/9)\/((-104)\/(-12))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/7)\/(1\/7). Let r be (-1 - 1) + (-5)\/(-1). Put i, -4, r in increasing order.\nAnswer: -4, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 4\/9, -0.2, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-4)*(-41)\/(3690\/108).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 6*o + 20. What is the remainder when 23 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 144, 516, 1098, 1884, 2868?\n\"Answer: -x**3 + 111*x**2 + 46*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*v = 3*y, 2*y - 18 = 4*v. Let g(i) = 2*i - 3. Let q be g(y). Suppose 2*u - s = 16, -54 = 2*u - q*u - s. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12493.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7247731 millilitres in litres?\nAnswer: 0.0007247731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -82948.85?\nAnswer: -82948.85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3159 and 273?\nAnswer: 22113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -122\/9 + 592\/45. Let l = -18 + 16. Which is bigger: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egk when three letters picked without replacement from eegkkegkkeeeekggeek.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-346)\/4*(2 + -4). Let y = -96 + v. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - 1) + -8 + 12\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(11\/2)))\/m*((m*m**5\/m)\/m)\/m*m**(-10)*m**16*m*m*m assuming m is positive.\nAnswer: m**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -36 and -1866\/53 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + g + 8 = 0. Let p = 3 - 2. Let k be 1 + 0*(p - 0). Sort g, k, 2.\nAnswer: g, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*x + 14*x = 152 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*p + 2*y, -8*p + y = -4*p - 3. Suppose 4*q - 5*q + 2 = p. Let r be ((-1)\/(-3))\/((-4)\/(-3)). Is q bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 268.17267 months to decades.\nAnswer: 2.23477225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6204 and 3807.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1026 + -5?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 2*y = 7, -13 = d - 46*y + 42*y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 1\/4*q**4 + 3*q**2 - 2*q + 22 + 11\/3*q**3. What is the hundreds digit of t(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qtqgqpqqgg. What is prob of sequence pqg?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, u: 2, a: 15}. Give prob of sequence uacc.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0.3, 0.1 in descending order.\nAnswer: 8, 0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 190274159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7250356 by -4.\nAnswer: 1812589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 136\/(11 + -3) + (-6)\/(-2). Solve 2*k - 6*k + n = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15182 and -237.\nAnswer: 14945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u + 74*u + 2*u - 78*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*n + 10 - 10. Let i(r) = -r**2 - 5*r + 7. Give i(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkn when three letters picked without replacement from {n: 2, r: 4, j: 7, f: 4, k: 1}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4034260*m - 3703775?\nAnswer: -4034260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19852 + -19827. Which is the nearest to 4? (a) 2 (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-2))\/(63\/3108). Let r = 82 - z. Solve -r*i = -5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 3*v**2 - 9*v + 17. Let y be b(-5). Let n be 6 - (-1 - (-81)\/y). Let -1\/4 + 0*d + n*d**2 = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38859283?\nAnswer: 6007, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -790*i + 1570*i + 56 = 782*i. Solve -k = -2*a - 7, 24*a - i*a - 29 = 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 1) + (-3 - -25 - -32 - 93)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11972a26 + 5?\nAnswer: 11972a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -43 + 0 - (-43 + 15 - -19)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1500885 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19.5 - -17.93. Is r greater than or equal to -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -23*o**2 - 19*o - 9. Let b(q) = -68*q**2 - 57*q - 26. Let f(d) = 2*b(d) - 7*x(d). Suppose 48 = 17*a - 23*a. Is f(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/240*-18 + (-6)\/120. Determine t so that -2*t - m*t**2 - 3 = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-6)*6 + 0. Suppose -u = -p*l + 35, 4*l + 3*u - 4 - 34 = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 20 = -2*p, 2*p - p + l = 8. Suppose 22 = 2*z + 4*m - 8*m, -p*z - 2*m = 6. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9795000 rounded to the nearest 100000?\nAnswer: -9800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 485894 divided by 785\nAnswer: 485894\/785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 5, -119, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -121742896856.\nAnswer: -121742896858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 41430573 to the power of 1\/2, to the nearest integer?\nAnswer: 6437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j*m**4 + 241*j*m**2 + j*m + 2637*m**6 + 1 wrt m.\nAnswer: -72*j*m + 316440*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300 (base 4) to base 9.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -0.5, 2\/9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1189?\nAnswer: 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.3 (c) 70 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/sqrt(3))\/sqrt(2) + 5 + (sqrt(17)*-2)**2.\nAnswer: sqrt(17) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -3, -1.\nAnswer: -3, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 0 - (-3 + 7). What is the smallest value in -2, 0, 0.1, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58 + 56.7. Let t = k - -1.2. Let c = 226.5 + -226. What is the closest to -0.1 in -2\/7, c, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 44. Suppose 4*o = o + h*k - 1, -o + 3*k = 5. Does o = 1\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 348 by 87.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.0399232 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10517, 10527, 10489, 10403, 10269?\n\"Answer: -24*m**2 + 82*m + 10459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 1\/(2*(-1)\/2). Let u(f) = -46 + 3*f - 4*f + t*f - 5*f. Let v be u(-16). Solve -w + v = -3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 5:53 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6976651ml in litres?\nAnswer: 0.0006976651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8762239697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 8*c**2 - 2*c + 17. Let k(x) = -x**2 + x + 1. Calculate -f(w) - 4*k(w).\nAnswer: -4*w**2 - 2*w - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**2 + 9613*c - 92409769\/4 = 0.\nAnswer: 9613\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 49 - 27. Find the second derivative of u*m**5 + 19*m + 26*m - 52*m wrt m.\nAnswer: 760*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 727197?\nAnswer: 3, 242399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26894767*j - 67*j**2 + 26894767*j + 71 - 71.\nAnswer: -67*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 68*g**3 + g**2 - 14*g - 35. Give k(-2).\nAnswer: -547","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -13311*a**2 - 2. Let t(z) = -110*z. What is x(t(k))?\nAnswer: -161063100*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/2)*z*z**0)**(-15) assuming z is positive.\nAnswer: z**(-75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -33*a**2 + 35*a - 49. Let c(g) = -21*g**2 + 23*g - 31. Give 8*c(u) - 5*y(u).\nAnswer: -3*u**2 + 9*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 702, -0.4, -91, 5.\nAnswer: -91, -0.4, 5, 702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + -14. Let v = j + 21. Factor 8\/11*r**2 + v*r - 6\/11.\nAnswer: 2*(r + 3)*(4*r - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 224225635 divided by -44845127\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6492 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 16 + 11 - 6 - 8*h. Let y be t(2). Solve 0*v + y = 5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 553b + 85?\nAnswer: 5604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*p**2 - 6 + 6 to the form f*p + q*p**2 + w and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -11*g + 4*g. Solve g*j = 4*j + 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 124\/(-434) + (-53)\/(-14)*1. What is the closest to 1 in 3, y, -1\/4, 0.065?\nAnswer: 0.065","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-32))\/((-203)\/23548)*8.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 812 = s + 3*s. Let j = s - 107. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 - -61. Suppose 11*t = -10*t + 63. Suppose -46 = -2*s + 4*x, 0 = -t*s - 4*x + 105 - 26. Is k greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 155826?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*y**2 + 64*y**2 - 40*y**2)*(-6 + 0 + 2)*(3 + y - 3)*(13*y + 129 - 129).\nAnswer: 416*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 138890*c**3*f**3 + 2*c**3*f**2 - 2*c**3 + 234*c**2*f**3 - 1180*c**2 - c*f**2 - 2*c wrt c?\nAnswer: 833340*f**3 + 12*f**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -7. Is -5 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 - 17*y**2 - 19*y + 26. Let m be v(18). Solve m*z + 8\/5 + 42\/5*z**2 = 0 for z.\nAnswer: -2\/3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-4)*v*v*(v\/((v*v**(-2\/5))\/v)*v*v)\/v)\/(v**(-2\/3))**18 assuming v is positive.\nAnswer: v**(107\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 674, 712, 726, 704, 634, 504, 302?\n\"Answer: -2*c**3 + 52*c + 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 44\/(-55)*(-5)\/2*3. Let i be f\/9*9\/(-6)*-5. Which is smaller: i or 60?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/28 and (-118)\/35*52\/104.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 140418.9 to the nearest 1000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 863504?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -286\/35 + -24\/7. Which is greater: h or -13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3203550 = 62*v + 164*v. What are the prime factors of v?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 8 + -7 + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6401 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*m - 47*m = -71*m + 54 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 3:02 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -7 - ((25 - (4 + 6)) + -13)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, h: 5, d: 4}. What is prob of sequence ggd?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 13. Let m be w(9). Suppose r + 5*d - m = 0, 4*r - 116 = 4*d + d. Calculate the remainder when 46 is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 162 + 165 = d, 3*i + 5 = 2*d. What is the least common multiple of 24 + (0 - -4 - 6) and d?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34*3*4\/24. Let b = y + -14. Find the second derivative of -2*d**3 + 0*d**b + 4*d + 5*d - 2*d wrt d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20244, -20300, -20356, -20412, -20468?\nAnswer: -20524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 3188?\nAnswer: -3187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -50, -7244 in ascending order.\nAnswer: -7244, -50, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19621 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (-13)\/(-7)) + (37664\/(-77) - -28). Is -469 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -478*z - 3818. Determine w(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 10 + -7 + 0 + (-64 - -65)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-328)\/12 - 17)*456\/(-3724).\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63756 divided by -14?\nAnswer: -4554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -1)\/(33\/(-66)). Let k(l) = r*l**2 - 3*l**2 + 6*l**2 + 0*l**2. Let t(w) be the third derivative of w**4\/12 + 2*w**2. Give k(t(d)).\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1537115?\nAnswer: 5, 307423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*i - 12822, f + 2*i + i = 3197. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 3*c + 41. Let u be g(0). Let n = 65 - u. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-30) + -1*(-10)\/(-15)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.92 - 4. Let j = -0.34 - -0.36. Let f = y - j. Which is bigger: -4\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 9*h + 39. What is k(-7)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and (-237)\/(-15) + 2\/10.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 611188483 to the nearest integer?\nAnswer: 24722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 765 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.088067 to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 147 (b) 2\/3 (c) -5 (d) 0.1 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -953*t = -945*t - 30728. What are the prime factors of t?\nAnswer: 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.0937024 - -1869.7741976. Let s = u - 1874. Let i = 0.123 + s. Round i to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.5*-196.\nAnswer: -1666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011011 + -1011010?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -27690000 rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, p: 1, e: 1, w: 2, c: 1, a: 1}. What is prob of sequence ce?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82 + -25. Suppose -49*i = -r*i + 9200. Round i to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 281*r + 599. Let j = 60 - -81. What is the remainder when j is divided by g(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a + 120 - 14 + 72 + a**2 + 177 + 54 to the form i*a**2 + b + n*a and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/1 - (-3 + 3). Let n = g + -1. Suppose 2*l - n = 3. Solve -l*t = -6*t + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lhlhtwlrlhltrwhrhli. Give prob of sequence rll.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3779.94 + 3813. Let g = 33 - b. What is the closest to g in 0.4, 0.5, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/(24*57\/(-25536)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-70)\/15 + (-20)\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482864 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 66*s - 9. Let w be p(-5). Let l = w + 523. What is the units digit of 2\/(-9) - l\/(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*y - 190 + 153*y + 231 + 6*y + 6*y to i*y + n and give n.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -w + 5*l, -2*w - 6 = -4*w + 3*l for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4472 times 181?\nAnswer: -80.9432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence atzz when four letters picked without replacement from {z: 3, a: 2, e: 5, t: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 - 3)*(2*b - 3*b + 3*b) + 0*b + b + 2*b)*(3*b + 2*b - 4*b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 + -6)*(-2)\/6. Suppose 2*h + 5*n + 10 = a, 6*n = 5*h + n + 25. Let m = h - -40. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6625\/36 + -184. Suppose 3*l + 5*x = -4, -18*l = -15*l - 5*x - 46. Which is smaller: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 93*r - 773. Give w(83).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 227269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 + 6*v - 6*v + (-v**3 - 3*v**3 + 8*v**3)*(0 - 4 + 2).\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/5)\/(0 + 1). Let r(k) = k**3 - 13*k**2 - k + 18. Let o be r(13). Solve -2*l - o*b + 18 = 0, l - 4 + t = b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100888.\nAnswer: 2, 12611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.94456 - 0.05544. Which is the biggest value? (a) d (b) 0.3 (c) 1.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1907 + 3716. Let j(b) = f - 5623 - b + b + 217*b**2. Let v(c) = -3*c. Calculate j(v(x)).\nAnswer: 1953*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(2\/7)*h**6*(h*h\/h**1*h*h)**(-19\/4)*((h**(-2\/5)*h)**(-1\/19))**(-2\/5) assuming h is positive.\nAnswer: h**(-92457\/13300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-2\/13)*i**(1\/2))\/(i**(-2\/9))**(-12))**(-38) assuming i is positive.\nAnswer: i**(1501\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 45*w. Let g(v) = 4*v. Let t(s) = -8*s**2 - 19*s + 60. Let a be t(5). Let u = a + 289. What is u*g(j) - 5*f(j)?\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 5 = 5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31994591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.24199481 to 2 decimal places.\nAnswer: 9.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/9))**(4\/27)*(a*a**6\/a*a)\/a**(-3\/2))**(1\/5) assuming a is positive.\nAnswer: a**(823\/486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 250*q + 15. Let p be n(9). Suppose -2*u - p = -5*m, -m + 4*m + u = 1359. Is (8\/12)\/1*m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0033172299 to four dps.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/(11\/8) + -3 + -1. Solve 3*g + 8 = -q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2866116 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 2. Let g = k - -7. Determine j so that g*j**3 + 4*j + 6*j**2 + 1 + 0*j**2 + 0*j**3 + j**4 - j**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -8*n**3 - 3*n**2 - 1. Let t(u) = -1 - 15*u**3 - 40*u - 5*u**2 - 35*u + 208*u - 133*u. What is -5*a(z) + 3*t(z)?\nAnswer: -5*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 o, and 1 r when four letters picked without replacement from ppqpippioirpqipivppp?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x + 1. Let j be a(-2). Let l = j + 15. Suppose 6*w - 3*w - l = 0. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m - 426 = -24*m. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3241 is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104932 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9661.585kg to milligrams.\nAnswer: 9661585000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144615?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1584, 1568, 1534, 1476, 1388, 1264?\n\"Answer: -w**3 - 3*w**2 + 1588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-10))\/((-434)\/155).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11628 - -4a?\nAnswer: 11677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/6))**(-1\/44)*g\/(g*g*g**(-2\/9))*g*g\/(g*g**(2\/3))*g assuming g is positive.\nAnswer: g**(437\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/7 + 4*m**3\/7 - 2*m**2 + 8*m\/7.\nAnswer: 2*m*(m - 1)**2*(m + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 7*j**2 + 8*j + 7. Let t be i(-5). Let h = -44 - t. What is the greatest common divisor of h and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {j: 7, m: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1175 (base 10) in base 16?\nAnswer: -497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49.9 + 50. Let p = -6 + 3. Let g = -1 + 0.5. What is the second biggest value in g, p, a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -6. What is the units digit of (-68)\/r + (-4)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6.4, 2, 3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41212 - 41217.13785. Let r = -5.13 - h. Round r to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -11*h**7\/840 + 5*h**4\/12 + 13*h**3\/6 + 8*h. Let l(j) be the second derivative of w(j). Differentiate l(r) wrt r.\nAnswer: -33*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/(-216))\/1*136\/748?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**4 + 3*w - 3*w)*(-w + 0 + 0) + 0*w**3 + w**5 + 0*w**3 + (-3*w**4 - 2*w**4 + 3*w**4)*(-2 - 2*w + 2).\nAnswer: 3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92541472 and 340.\nAnswer: 462707360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14661, 12808, 10953, 9096, 7237?\n\"Answer: -q**2 - 1850*q + 16512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-420)\/(-106) + 76\/2014.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -715.4943 to the nearest 10.\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 402.186 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -59? (a) 312 (b) 1 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88\/3 + -29. Let l = 133 - 132. Let d = -135\/11 - -133\/11. Put l, d, -0.5, y in ascending order.\nAnswer: -0.5, d, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/(-7))\/4)\/((-106)\/(3346420\/3075))?\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 36 = -1. Let k(h) = -3*h + 1. Let t be k(-1). Sort j, 1, t, -3 in decreasing order.\nAnswer: j, t, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millennium in decades?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n + 87. Let a be t(-42). Sort 416, a, 0.\nAnswer: 0, a, 416","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t - 15. Let v(x) be the third derivative of -x**4\/12 - 5*x**3\/3 - x**2. What is the remainder when g(20) is divided by v(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2070.734 millilitres in litres?\nAnswer: 2.070734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1999, -4200, -6401?\nAnswer: -8602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13431770 by 58399.\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(273) - sqrt(273)*-1 - sqrt(273)))\/((sqrt(7)*2*-6 - sqrt(7)) + sqrt(7)))\/((sqrt(180)\/(sqrt(20)\/sqrt(4)))\/(sqrt(24)\/sqrt(2)*-4 - sqrt(12))).\nAnswer: -5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vev when three letters picked without replacement from {e: 1, q: 1, z: 11, v: 2, p: 2, n: 2}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -245316*j + 102*j**2 + 245316*j to a + p*j + y*j**2 and give y.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 278401?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -4*y**2 + 4*y + 1. Let i(l) = -l**2 + 1691 + 5*l - 6*l**2 - 1690 + 2*l**2. Give 5*i(c) - 6*p(c).\nAnswer: -c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.192 (b) 0.3 (c) 1.1 (d) -0.06 (e) -31.82\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-123)\/(2\/(-2)) + 3*-1. Calculate the greatest common factor of s and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17711826 to the power of 1\/2, to the nearest integer?\nAnswer: 4209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -17 - (-133 - -61).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 198*y**2 - 179*y - 61. List the prime factors of x(11).\nAnswer: 2, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207706 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/4*(-12)\/10. Suppose d - 2*h - 2 = 0, h = 4*d - 5 - 3. Let i be (1 + -1)\/(-1 + 0). Sort d, x, i in increasing order.\nAnswer: i, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 299 + -902\/3. What is the second smallest value in 0.2, y, -0.01, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-162)\/(-6)*1\/12*4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -7*f + 2. Let h(c) = -15*c + 5. Suppose p = -3*j, -4*j = -2*p - 18 - 2. Let r(g) = p*h(g) + 13*l(g). What is r(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 7:15 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) 2 (c) -1.1 (d) 447\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*j = 24. Let b be (j\/9 - -1)*-9. Let g = b - -24. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2\/13, 16\/15, -2\/9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*l + 2*l. Suppose 0 = l*h + 3*s + 6, 2*h + 4*s = 5*h - 25. Suppose -h = 4*p + 9. Put p, 2, -5 in increasing order.\nAnswer: -5, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 10*f**2 - 10*f - 11. Let r be b(11). Suppose 4*a - 34417 + 2417 = r. What is a rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70, -176, -462, -1018, -1934?\nAnswer: -3300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 1:31 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1138 is divided by 161.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3827601 + 389?\nAnswer: 3827990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least 1\/620817878?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 128 + -135. Let i = 59 - c. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/227 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - y**2 + y**2 + (-3 + 2 - 1)*(-3*y**2 + 2*y**2 + 2*y**2) + 0*y**2 - 3*y**2 + 4*y**2)*(0*y - 10*y + 4*y).\nAnswer: 18*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3319\/146 - 22\/219. Find the common denominator of 163\/180 and m.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65.93837nm to millimeters.\nAnswer: 0.00006593837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189\/(-54) - ((-365)\/10 + 5).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 5 - 13. Let s(f) = 2*f + 10*f**2 - 3 + f**2 - 16*f**2 + 6*f**2. What is s(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1157250.3 months?\nAnswer: 96437.525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k - 5. Let v be y(-6). Let d(u) = 2*u - 7. Let m be d(5). Let p be ((-8)\/10)\/((-1)\/(-5)). Sort p, m, v in descending order.\nAnswer: m, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - p = 7, -3*n + p = -6*n - 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/15 (b) 11 (c) 0.003\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 3:45 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + n = -32. Suppose 18 + 8 = 4*l + 2*s, 5*s - 15 = 0. Let u = l + 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 ten thousands digit of 13148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/678)\/((-36)\/(-3888)*18)?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14297, -14294, -14289, -14282, -14273, -14262, -14249?\n\"Answer: c**2 - 14298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3*(-153)\/1530.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1629 divided by 1\nAnswer: -1629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -305601 (base 10) in base 9?\nAnswer: -515176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + (sqrt(130)*-1*1 - sqrt(130))\/(5*sqrt(40)\/sqrt(4))).\nAnswer: -20 + 8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 67*d**3 + 9*d**2 - 139*d + 8. What are the prime factors of w(8)?\nAnswer: 2, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2 + 1. Let v be b(-1). Suppose 0 = -3*x - 4*a - 28, -x + 36 = -2*x + v*a. Is x at least as big as -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 8:46 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4546246?\nAnswer: 2, 521, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 9*v**2 + v + 12. Let r be q(-9). Let k = 5 + -3. Find the second derivative of 9*t**r - 4*t + 0*t**3 - k*t**3 - 2*t**3 wrt t.\nAnswer: 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*o + o**2 - 79*o + 153*o - 2*o**4 + 4*o**4 - 25 - 26*o**3 to d*o + g + p*o**2 + v*o**3 + b*o**4 and give v.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 t when four letters picked without replacement from ppwttpt.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 12*f - 8. Let p be h(11). Let v = p + -1. Differentiate 2*y**3 + y - y + v with respect to y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = i, 3*j - 8*j - 18 = -4*i. Solve 0 = 5*q - i*q + 5*h + 21, 0 = q - 5*h - 13 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139467393 is divided by 4132.\nAnswer: 4129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*h = -h - 38, -5*h = g. Let i be 1 - ((-3 - -5) + 21). Let m = 32 + i. Calculate the smallest common multiple of g and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 225905268 to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 19, y: 1}. What is prob of picking 1 u and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14\/51? (a) -0.21 (b) 0.155 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73.6 - 37.6. Is x != 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21953.615 + -21906. Let j = g + -48. What is j rounded to 2 decimal places?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 27 (c) -8 (d) 410\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of b**3\/3 + 3*b**2\/2 + 2*b + 8. Let j be t(-4). Solve j = -2*q - 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = -7*v - 400. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-102 - (-29020)\/460) + 2\/(-23)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, d: 10, y: 6}. What is prob of sequence ytyt?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 147*h - 159*h + 96 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -279900 to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -i + 880. Suppose 0 = 2*y - j - 204, -332 = -5*y + 2*j + i. Suppose 225 = 53*f - 44*f. What is the greatest common divisor of y and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(sqrt(12)\/sqrt(24)))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6746d8 (base 14) to base 13.\nAnswer: -95aa75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/24 and -27\/10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -4)\/(8\/16). Suppose r*d - 3*d = 3*t + 2594, 4*d = 4*t + 10400. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 5*t**2 + 178*t - 41. Determine c(11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 706*a - 709*a - m, -5*a - 19 = 2*m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4*w. Let r = -0.34 - -0.24. Let t = -3 - -4. Which is the nearest to r? (a) w (b) 3\/8 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9158.12616 + 9159. Round m to two decimal places.\nAnswer: 0.87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1794)\/65)\/(-23)*-5*6\/(-27)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 39 - 222. Suppose -2*x + 0*x + 164 = -4*k, 0 = -5*k - 3*x - q. Let u = 61 + k. What is the highest common divisor of 22 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - o**2 - 3*o + 4. What is w(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32700 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 0*m**4 - 4*m**4 + 7*m**4 + 60*m**3 - 59*m**2 - 13*m**2 - 129*m**3 = 0.\nAnswer: -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and ((-6)\/(-8))\/((-140)\/(-32) - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2584354*l**2*y + 22378962*l**2 wrt y?\nAnswer: 2584354*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -5*f**3\/4 - 267*f**2\/4 - 53*f\/2 = 0?\nAnswer: -53, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -955 and -141199\/148 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0941 rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the second derivative of j**5\/20 + 2*j**4\/3 + 7*j**3\/6 - j**2\/2 - 3*j. Determine g(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/(-5)*1125\/1350?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37430*g + 37460*g - 480 = 0 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -652, -2608, -5868, -10432?\n\"Answer: -652*z**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*w**3 + 46*w**3 - 22*w**3 + 180.\nAnswer: -2*w**3 + 180","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (38 - 15 - 22) + (1 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 5*v + 70. Suppose -5*b = -46 + 11. Calculate the greatest common divisor of v and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, -27261, -1\/4, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -n + 237 + 777, 3*n + 9 = 0. Suppose a = -0*z + 3*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((14\/(28\/(-9)))\/(-12))\/(-14*(-3)\/(-4))?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 137567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 12) in base 11?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, 2\/13, 6, 4\/7, 0.4, 0.2272?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 + 58*m**2 - 33*m + 819. Give y(-30).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 h when four letters picked without replacement from {u: 1, q: 1, e: 6, h: 1, v: 6}?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9356?\nAnswer: 2, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/t**(-17\/2))\/(t*t*t**(-3\/29)*t))\/(t**26\/t*t)**(3\/7) assuming t is positive.\nAnswer: t**(-1437\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -12*c**2 + c**3 - 2*c + 6*c + 5 + 6*c**2. What is s(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of i**8\/1680 - i**6\/360 - i**3\/3 - i**2. Let m(a) be the first derivative of z(a). What is w in m(w) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(3*8\/12). Calculate the highest common factor of 177 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 14 = -14*l. Suppose l*h - 75 = -19. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -108*-0.1\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 79*v = 626*v - 45953 + 14343 for v.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1015875 = -3887*v + 3922*v. What are the prime factors of v?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**4 - 531830*o**3 + 14142157445*o**2.\nAnswer: 5*o**2*(o - 53183)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/2*9\/(-108)*8. Let k(v) = 2*v**2 - 4*v + 20. Let a be k(n). What is the greatest common factor of 403 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 8:51 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8334*o**4 + 367*o - 4 wrt o.\nAnswer: -100008*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-5) + (-8)\/40. Let f be 129\/(-18) - b\/12. Let r = f - -10. Solve 0 = -u - r - 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 - -57. Let b(a) = -8*a**3 + 4*a**2 + 3*a. Let j(i) = 24*i**3 - 11*i**2 - 8*i. Let o(h) = -11*b(h) - 4*j(h). Give o(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -20*t + 820. List the prime factors of a(-38).\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwmm when four letters picked without replacement from mwwwwmmmwmmwmwww?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7732029541 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*i + 70*i - 12*d + 99 = 143*i, 0 = 3*i + 13*d - 113 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**3 - 2*r**2 + 2*r**2 + (-6*r**2 - 110*r + 110*r)*(-5*r + r + 3*r).\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-44)*716\/537.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1347\/(-33)*1 + 7\/385*-10.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 + -49. Calculate the remainder when 15 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 times 9267?\nAnswer: -15753.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 54, 94, 142, 198?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 8*i - 9. Let d(a) = 4*a - 3. Let l(w) = -9 + 6*w + 1 + 5*w. Give i*l(k) - 8*d(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0165 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 7*n - 5. Let i be b(6). Let f = i - -14. Let g be (-3)\/(-6)*2*6. Calculate the highest common factor of g and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 3 - 2 - 2*m)*(-5106*m**3 + 10332*m**3 + 1065*m**3) to b*m**2 + n*m**3 + c + g*m**4 + l*m and give n.\nAnswer: 6291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(272) + sqrt(17))*-4.\nAnswer: -68*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, k: 13}. What is prob of picking 4 k?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -5*g**2 - 816*g + 1485 = 0.\nAnswer: -165, 9\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111111101101100101 (base 2) in base 12?\nAnswer: -426171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from pgqgqj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378255723 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 - -49.9987. What is g rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -3*o + 260. Calculate the greatest common divisor of 12 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10737, -11413, -12075, -12723, -13357, -13977?\nAnswer: -14583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -683*v**2 + 58054*v + 80. Give n(85).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + 2*sqrt(11) + 3).\nAnswer: 5 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3587*f = 3684*f - 5141 for f.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -47, -444, -1531, -3656, -7167?\n\"Answer: -58*w**3 + 3*w**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 471 - 1521. What is the greatest common factor of w and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 287860 and 25660?\nAnswer: 369324380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4041*u + 4046*u - 3*a = -117, 4*a - 20 = u for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1892 divided by -1?\nAnswer: 1892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p - 4 = 0. Solve 5*d = p*d + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 1, i: 7, m: 2, b: 2, q: 1}. What is prob of picking 2 m?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4) - 26\/4. Suppose 4*s = -0*s - 8. Let l be ((x\/(-5))\/3)\/s. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, b: 9}. Give prob of picking 4 b.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 226 - 165. Is 61 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1757, 0, -1, 2, 1, 3, -73.\nAnswer: -73, -1, 0, 1, 2, 3, 1757","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -u - 3*u - 4, -3*f + 2 = -2*u. Let s = -100 - -105. Solve s*w = -20 - f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 3, 2, -261, 371 in descending order.\nAnswer: 371, 5, 3, 2, -2, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1800370?\nAnswer: 2, 5, 11, 13, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s + 791*s**3 + 4*s**2 - 21*s - 19 - 790*s**3. Calculate g(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3075 is divided by 181.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 2098.2?\nAnswer: -12589.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 138*(6 + (-35)\/10). Suppose -16*a - 7*a = -k. Solve -6*w - a - 15 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in 0.5, 6\/101, 2\/37, 0.1, -6?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 1 - (sqrt(11) - (sqrt(1331) + 0))) + 0.\nAnswer: 1 + 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0372 and 1.\nAnswer: -0.0372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5208 by 7.\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - 121. Let f = t + 194. Suppose -4*d = k - 86, -188 = -3*k + 38*d - 36*d. Is k != f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*((-1*-1*sqrt(11) + sqrt(11) + -5)**2 - (3 + sqrt(33)\/sqrt(3) + sqrt(11) + (1 + sqrt(22)\/sqrt(2))**2))*4*5.\nAnswer: -2880*sqrt(11) + 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*i - 995*i = -8905 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 868.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -2*k**4\/7 + 2970*k**3\/7 - 1101126*k**2\/7 - 1104098*k\/7 = 0.\nAnswer: -1, 0, 743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 213106 and 1016.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 35 + 220*c - 220*c - 35 - c**2. Let l(q) = 3*q**2 + 21*q. Calculate l(r(m)).\nAnswer: 3*m**4 - 21*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, -0.2, 1\/8, 2, 2254?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(4 + (1 - -1)). Which is the nearest to t? (a) -2 (b) -10 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of 5*y**8\/84 + 47*y**6\/120 + 148*y**5\/15 - 1545*y**2. What is the third derivative of n(k) wrt k?\nAnswer: 1200*k**2 + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8)\/(65\/52)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12914 and 587?\nAnswer: 12914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -79633 take away 0.13?\nAnswer: -79633.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*r - 335 = 181*r. Let i = 69 - r. Solve h - 3 = i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 715, 731, 737, 727, 695, 635?\nAnswer: 541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**2 - z. Let r be n(-2). Let w = 20 + r. Calculate the lowest common multiple of w and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78525 is divided by 134.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 7:33 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1563 in 0.5, -0.1, 2, -1, -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6089773, -12179545, -18269317, -24359089?\n\"Answer: -6089772*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -8*t + 15. Let g(x) = 4*x - 7. Let j(l) = 5*g(l) + 2*n(l). Let q(v) = -v + 0 + 1 + 0*v. What is -j(z) - 5*q(z)?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*h - 12. Let b = h + 6. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 16) to base 8\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 4 + -1 - (129 - 26)) + 5?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) -0.1 (c) 14460.7 (d) 22 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + ((-64)\/30 - (-12)\/90). Sort 4, 5, 6, c in increasing order.\nAnswer: c, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 + 252*b**3 - 4320*b**2 + 10800*b.\nAnswer: -4*b*(b - 30)**2*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, b: 1, e: 1, k: 1, d: 1}. What is prob of sequence xe?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -3. Let y be -7 + 2 + 16\/(-4). Let o(j) = j**2 + 7*j - 15. Calculate the remainder when u is divided by o(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 197 + 427. Calculate the highest common factor of h and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.87 - -0.37. Let s = -10 - z. What is the nearest to -2\/5 in 0.1, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1064 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*u - u. Suppose -u*p = -p - 6. Suppose 0 = -3*h - 0*h + 4*o + 24, p*o = -9. Put h, -3, -4 in ascending order.\nAnswer: -4, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-5)*58\/4. Let h = 46 - c. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/2829 and 8\/5888001?\nAnswer: 5552384943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjm when three letters picked without replacement from {j: 1, m: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 10*d**2 - 16*d - 11. Let k = 66 - 93. Let b = 16 + k. Let q(s) = -11 - 3*s - 1 + 6 + 2*s**2 + 4. Calculate b*q(o) + 2*z(o).\nAnswer: -2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 88114.5 millennia?\nAnswer: 88114500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14623607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5.79*-0.13\nAnswer: -0.7527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*d - 15*d**4 - 17*d)*(-1 - 2 + 4) - 3*d**3 - d**4 + 3*d**3 + 5*d**2 - 5*d**2 - 6*d**4.\nAnswer: -22*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.54320240958 + 0.031.\nAnswer: -3.51220240958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + 5 - (0 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 423, 2187, 6969, 16281, 31635, 54543, 86517, 129069?\n\"Answer: 252*d**3 - 3*d**2 + 9*d + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/157967992 and -57\/112?\nAnswer: 315935984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5057 divided by -21?\nAnswer: 5057\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -6 - (2 - (0 - 2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2834 and -0.022?\nAnswer: 2833.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/46 and 65\/8142?\nAnswer: 8142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245980*q - 111 + 245982*q + 35 - 66.\nAnswer: 2*q - 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 2:00 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**4 - 3 + 21123*j**2 + 21109*j**2 - 42100*j**2 + 3*j**4 + 3*j as h*j**2 + v*j**4 + y*j**3 + k + f*j and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*z**2 + 135042 - 33*z**3 - 9*z**2 + 33*z**3 - 2*z - 135035 - 22*z**4 in the form t*z + l*z**4 + p*z**3 + g + y*z**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 2\/97, 3\/16, -0.3, -3\/50, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jxe when three letters picked without replacement from {x: 1, e: 2, h: 2, j: 3, g: 4, o: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*c - 76*c + 42. Solve -4*y + c = -3*j, 5*j = -3*y + y + 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -365 + 596. Let l = 1209 - 1054. Let d = i - l. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 - 28 + 50 + 25 - 19 - 16 + (-2 + 3 + 2)*(-3 - 1 + 2) - 2 + 2 + 1 + (-2 + 3 - 3)*(-1 + 1 - 1))*(-6*n**2 - 9*n**2 + 8*n**2).\nAnswer: 273*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 10:08 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 5)\/(1 - (-74)\/(-70)). Let b = h - -31. Is -3 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gglgglggjsjj. What is prob of picking 2 g, 1 l, and 1 s?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 222*(-8)\/(-336) - (-4)\/(-14). Suppose 4428 = -j*f + 11*f. What are the prime factors of f?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**2 + 59820*i - 59824 = 0.\nAnswer: -14956, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 6 + 2. Let g = 9 - s. Let o = -82 - -120. Calculate the remainder when o is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 820\/164 - (-2 - -2 - 310). What is the greatest common divisor of 75 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 2*d - 4766*d**2 + 4.\nAnswer: -4766*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 0 + 0 + (-2 + 4 + 0)*(-5*m + 3*m + 5*m)*(-464 + 367 + 395))*(-1 + 1 - 1).\nAnswer: -1787*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-16*y - 50*y - 2*y)*(y - y - 2*y) + (-1 + 6 + 1)*(2*y**2 + y**2 - 5*y**2))*(-3*y**3 + 2*y**3 + 3*y**3).\nAnswer: 248*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*k - 268. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4857? (a) -1\/4 (b) -14 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47678\/14091 + 274\/77. Find the common denominator of w and -29\/549.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 1162 + 413 = 0. Let u = -36 + 71. Calculate the highest common factor of v and u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 - 31 = -8*i. Calculate the common denominator of 79\/21 and (-2023)\/252 - (i\/12)\/3.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c*x**4 - 724*c - 38192*x**4 + 185 wrt x.\nAnswer: 12*c*x**3 - 152768*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*g - 260*g + 378*g + 73 = -5*z, 0 = -3*g + 4*z + 77 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xexywxwxyeeexwwxxyw. Give prob of sequence wy.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*l**4 - 90*l**4 + 7795 + 2*l**3 + 927*l - 7795 in the form h*l + k*l**2 + s + n*l**3 + m*l**4 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3427 + -87.0127. Let j = k + 71.712. Let b = 15 + j. Round b to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 52\/888155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302602 is divided by 4379?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -18. Suppose 4*n + 22 = g*f, -2*f + 3*n + 21 = 8. What is the third derivative of 5*w**5 - 13*w**2 - 13*w**5 + 19*w**f wrt w?\nAnswer: -480*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -9*r**2. Let h(f) = 33*f. Give h(j(g)).\nAnswer: -297*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 4780c?\nAnswer: 47809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4 - 34*t**3 + 28*t**2 + 64*t = 0 for t.\nAnswer: -1, 0, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(39)\/(sqrt(6)\/sqrt(2)) + (sqrt(13) + 0)*6.\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 432?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111012111 (base 3) to base 5.\nAnswer: 302000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -2*u. Let v(g) = -g**3 + 5*g**2 + 2. Let m be v(5). Let w(q) be the first derivative of 21*q**2 - 9*q**m - 5*q**2 - 5 - q**2. Give t(w(h)).\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9792.8 + -7335. What is w rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 29.\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 g when two letters picked without replacement from {v: 2, x: 2, g: 6, s: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 5:36 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k**3 - 22*k**2 - 43*k - 5. What is the remainder when 183 is divided by p(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 4:46 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 w when three letters picked without replacement from {w: 4, q: 3, o: 1, k: 1, v: 2}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/3)\/(-11 - -29)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -1665128\nAnswer: -3\/832564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8965 divided by 868?\nAnswer: 8965\/868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*t + 135*t - 72 = 0, 5*i + 31 = -2*t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 17 = -137. Let v be m\/((-1)\/(-2) - -1). Let c be v\/(-40)*(-50)\/(-8). Is 3 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4 + 19 = 0. Let u = 9 + y. Solve u*q - 4*o = 20, 0*o + 11 = 3*q + o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4543050 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 11. Let x be b\/(-4) + 6\/4. Which is greater: x or -3\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4312 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5640)\/(-24))\/(10\/12). Let o be (-38)\/(-247) + h\/26. Solve 0 = 8*b + o + 21 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 176177000 to the nearest 100000.\nAnswer: 176200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = -76*f. Is -27\/44 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144*5\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2572*41\nAnswer: -105452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 0*i**2 + i**3 + 18 + i + 0*i + 0*i**3. What is the tens digit of v(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1071\/(-6)*(-24)\/18 - (-5 + 6). Sort f, 0, -4.\nAnswer: -4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 10*h**2 + 18*h - 16. Let q be n(8). Solve -3*z - 17 + 2 = q for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -8. Solve n*q - 6 = -3*t - 3, -3*t + 3 = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0.1 (b) -2\/35 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/5*11645\/51 + -2 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**3 + 4*s + 15. Let h be c(4). Let f = -26 + h. What are the prime factors of f?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1 - 3 = 0. Suppose 0 = k + 5*y + 26, -2*k = -k - 4*y - 19. Sort 1, v, k in descending order.\nAnswer: 1, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - -0.46. Let b = k + -0.26. Let y = 33 - 33.2. What is the nearest to -2 in b, 0, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*t - 289*p + 240 = -285*p, -3*t + 6 = -3*p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g*n*v**2 + 14*g*n*v + 2*g*n - g*v**2 + 2*n*v**2 - 14081*n*v - 130465*v**2 + 2 wrt v.\nAnswer: 4*g*n - 2*g + 4*n - 260930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 305675413 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 147.3466 + -0.2466. Let p = t + -147. Which is the smallest value? (a) 4 (b) -15 (c) -3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 202*c**3 + 38*c**2 + 22*c - 82 wrt c.\nAnswer: 1212*c + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 5*s**2 + 4*s + 5. Let t be f(-4). Let r(a) = -7*a**3 + 545*a**2 - 5 + 3 + 5 + 6*a**3 - 5*a - 539*a**2. Give r(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4795.\nAnswer: 5, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 404956, 404382, 403808, 403234, 402660?\n\"Answer: -574*s + 405530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a - 394 + 184 = 0 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100735 to the power of 1\/2, to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 + 18 - 4) + 1 + -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -0.7, -12, 4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*h + 3. Suppose -4*k = -2*k - 2, h*j + 3*k - 99 = 0. Round j to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4)**39*h**(-3\/2)*h**(-2\/27) assuming h is positive.\nAnswer: h**(8339\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 44.23169 kilograms?\nAnswer: 44231690000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12288 = 3641*h - 10802 - 7653 - 5667 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**4 + 4*p**4 + p**4 + (p**4 + 6*p**3 - 6*p**3)*(-4 - 3 - 1) to u*p**2 + x*p**4 + h + j*p + w*p**3 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*p + 1451 = -2949. Calculate the greatest common factor of p and 280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1795696?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3571 + -203389?\nAnswer: -199818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1259*g**2 + 4*g + 1258*g**2 - 2*g - 2*g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/275*5 + (-140)\/55. Let u(x) = -x**2 - 8*x - 9. Let f be u(-6). Let o(v) = -3*v**2 - 2*v. Let y(r) = -4*r**2 - 2*r. Give f*o(g) + k*y(g).\nAnswer: -g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2330 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**2 + 17*y + 22. Let c be v(-11). Let g = -183 + c. Suppose z - l - 20 = 0, 5*z + 2*l - 82 = l. Calculate the highest common divisor of g and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**3\/3 - x. Let h(j) = -2*j + 0*j + 6*j. What is n(h(d))?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*t = 92, 0*u + t - 386 = -4*u. Calculate the highest common divisor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2038 divided by -2211\nAnswer: -2038\/2211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 766129467 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.06 - -4.8. Round j to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**2 + 4*u + 19. Let n be l(-6). Let m = n - 98. Let s be 0\/(m\/15*3). Solve s = -2*f - 1 + 9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646090400 rounded to the nearest 1000000?\nAnswer: 646000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 3*h + 1. Let c be n(-1). Let i be (c\/(-3))\/(1\/174). What is the smallest common multiple of 1\/(-4) + i\/8 and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1557929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -12. Which is bigger: -1\/15 or v?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.33 - 0.67. Put 7, u, -0.2 in decreasing order.\nAnswer: 7, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*n + 7. Let j(s) = -5*s - s**2 - 11 + 3*s**n - s**2. What is the tens digit of j(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -16*l**2 - 16 - 5*l**2 + 4 + 22*l**2 + 9*l. Determine n(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1380218 divided by 98587\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000 (base 2) in base 7?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 4. Is j(-12) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 218102*s\/7 - 62316\/7.\nAnswer: 2*(s - 15579)*(7*s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 484 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.0086, -1.7, 5, -3?\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7 + 9 = 0. Let s(q) = q**2 + q + 2. Calculate the least common multiple of s(2) and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 8*z**2 + 8*z - 10. Let s be x(-9). Let h be 45 + 0\/3 - s. Suppose 35*k - 34*k = h. List the prime factors of k.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51502?\nAnswer: 2, 11, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 22. Let o = -3.54 - 1.24. Let p = o - 0.22. Which is the nearest to -1? (a) s (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -g**5\/5 + g**4\/4 + g**3\/3 - g**2\/2 - 5. Factor x(v).\nAnswer: -v*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8520 + 3?\nAnswer: -8517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(252) + (4 + sqrt(252) - sqrt(252)) + sqrt(252) + 3)**2.\nAnswer: 192*sqrt(7) + 1072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -814 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**4 - x**3 + x**2 - x + 1. Let i(u) = 3*u**4 + 2*u**3 - 2*u**2 + 2*u - 14. Let l(q) = 2*a(q) + i(q). What is the first derivative of l(h) wrt h?\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6616844.528 to the nearest 1000.\nAnswer: 6617000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -852391.\nAnswer: -170478.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 29 * -0.3\nAnswer: -8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.005642 and -1.2.\nAnswer: -0.0067704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y + 11. Let t be w(4). Let q be ((-24)\/(-10))\/((-9)\/(-60)). Which is the biggest value? (a) q (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 3. Let m be (-6)\/(-10)*(-130)\/(-39). Suppose 0 = -3*p - 5*h + 31, -15*h = m*p - 16*h - 12. Give l(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12549726 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 12875*d**3 + d**2 - 5*d - 14. Let r be t(-2). What is r rounded to the nearest one thousand?\nAnswer: -103000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.292 - -0.27. Let w = -0.292 - r. Let j = 0.27000023 + w. Round j to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-30)\/4*44\/44*1\/3\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 3*u - 56. Suppose 2*h + 2 = 6. Suppose h*t - 6*t = -60. Calculate the remainder when u is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 0*w - 35*w**4 - 25\/12*w**5 - 1\/24*w**6 - 4 - 120*w**3 - 22*w**2. Find a, given that t(a) = 0.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/6 + (-22)\/6. Let i be (-4)\/26 + 162\/39. Suppose 5*y = -i*m - 37, -6*y + 2*m - 19 = -y. Sort w, -1, y in decreasing order.\nAnswer: -1, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(1*(-420)\/(-56))*2\/(-8)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/77454 and 4\/617315.\nAnswer: 144451710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1834 and 10920?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 - 6*s**2 - 18*s + 45. Is q(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, e: 3, y: 2}. What is prob of sequence zyee?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4*s + 3*s + 3*s)*(-7*s + 0*s - 10*s).\nAnswer: -34*s**2 + 34*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 40, 2, -1\/7, -1\/2, 0.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1)\/k)**(7\/2)\/(k*k\/(k\/k**(2\/9))*k*k**(1\/5)))**(-31))**28 assuming k is positive.\nAnswer: k**(368032\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151320 is divided by 6305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**3 + x - x + (235*x - 332*x + 503*x + (1 - 1 + x)*(-1 + 6 - 3))*(2*x**2 - 2 + 2).\nAnswer: 814*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 363*i**5\/40 + 77*i**4\/4 + 49*i**3\/3 - 338*i**2. Factor t(b).\nAnswer: (33*b + 14)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*q - 6 = 0. Let w(f) = -6249*f**3 + 8*f**2 + 11*f - 6. Let m be w(q). Suppose -4*v = -v - m. Round v to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from xxcvvvcc.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 13 = 5*a, 0 = -y - 2*a + 278. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by (2 + 0)\/(2\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 4c?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694761803.\nAnswer: 181, 811, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2011 - 2*c**2 + 2011.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 7*n**2 + 3*n + 39. What is l(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t + 7*t - t - 9*t + 1. Let u be b(4). Suppose -5*f - 231990 = x, u*x - 2*f = -f - 1160002. Round x to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-9 + 30 - -2) + 2 - 12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*((-1)\/(-3))\/(-1). Suppose -b + 22 = -z. Suppose 30 = 4*w + w - 5*g, -5*g = -4*w + b. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o + 23 + 3*o - 130 - 5*o to z*o + k and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15\/14 (b) -4 (c) 0 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/9))**(3\/5)*c**8\/(c\/(c**(-7)*c)*c) assuming c is positive.\nAnswer: c**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10413 - 2999064550?\nAnswer: -2999074963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 21.5969 times 0.4\nAnswer: 8.63876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-15))\/((-10)\/(-25)). Let f be (363\/(-12) + l)\/((-2)\/(-8)). Let s = 1136\/9 + f. Find the common denominator of 63\/16 and s.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21344 - 113?\nAnswer: 21231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by 67.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 918\/(-1530)*(-4)\/(-6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28811.\nAnswer: 47, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9*p + 155. Let s be j(17). Suppose s*d = -22*l + 23*l - 2, 0 = 4*l - 5*d - 8. Solve 13 + l = -5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-3 - (3 - 4)). Let h be 344\/(-2408) + 253\/7 + 0. Solve -y*j = 2*j - h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-5)\/l)*l\/(l*l**(2\/3)))**(-3\/2)\/((l\/((l*l**2\/l)\/l))\/(l\/l**3)*(l\/((l\/(l**(-3)\/l))\/l))\/l*(l**(3\/7)\/l)\/l*l) assuming l is positive.\nAnswer: l**(-97\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02 - -2.98. Suppose 0 = 2*x + 1 - 5. Let j = 58 - 752\/13. What is the third biggest value in d, j, x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 24\/17 (c) 4\/13 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 310*n**2 + 105*n**2 - 418*n**2. Let x(u) = -298*u**2. Determine m(x(g)).\nAnswer: -266412*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 4:47 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51839*c**3 - 17*c**2 + 217 wrt c.\nAnswer: -311034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffxftyfpsfxf. Give prob of sequence yp.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -u + 556, -5*w + u = -170 + 864. Let l = 692\/5 + w. Do l and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(20\/8)*1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and -4310.32.\nAnswer: 73275.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r = 28*r + 32968. Is r\/(-39) - 1\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-0.0136\nAnswer: -0.0408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-4)\/((-16)\/36). Let g = 11 - q. Suppose 8\/5 + 22\/5*w**g - 24\/5*w - 6\/5*w**3 = 0. Calculate w.\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -315 divided by -15\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0\/1*(-9)\/18\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/36*20\/(-5))\/(96\/(-16))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 4. Let o be 1\/((9\/6)\/3). Let i be u(o). Which is smaller: 5\/4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 69?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/1*(-32)\/5. Suppose 0 = -4*s + 6*s - i. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - h + 5*y + 27, 3*h + 5*y + 6 = 0. Let j(a) = 0*a + 4*a - 3*a + h - 9. Give j(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*w = l - 34, 4*w = 2*l - 4. Let r(c) = 4*c - 3. Let p be r(-4). Let o = l + p. Let h(u) = u**3 + 6*u**2 - 8*u - 3. Determine h(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9051 divided by 561.\nAnswer: -3017\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92a037 (base 13) to base 9.\nAnswer: 6383371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -44*r**2 + 2*r + 45*r**2 - 2*r. Let j(a) = -a - 6. Calculate j(b(s)).\nAnswer: -s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -44*r**2 - 18*r - 3. Let c(f) = -137*f**2 - 53*f - 8. Calculate -3*c(p) + 8*x(p).\nAnswer: 59*p**2 + 15*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/200*-5)\/(9\/(-5)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2 - 2)*(-8 - 29 + 4)*(-9 - 24 + 20) - 1 + 3 - 2*h + 0*h.\nAnswer: -860*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 336133?\nAnswer: -5\/336133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 4*o + 20, 406360*j + o + 5 = 406371*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, b: 7, d: 1, y: 2, m: 2, g: 1}. Give prob of picking 1 m, 1 b, and 1 v.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*c + 61*c + 83*c = -3*c + 10122 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 12) to base 16.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3d (base 15) to base 16\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -86, -113?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 t when two letters picked without replacement from odtttdddodddtdt.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvvq when four letters picked without replacement from qzvqv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -182 + 198. Sort 4, 1, q.\nAnswer: 1, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.6 + -1.6. Sort m, 3, -4 in increasing order.\nAnswer: -4, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, q: 2, z: 14}. Give prob of picking 2 q and 2 z.\nAnswer: 13\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w**2 + 2*w + 1. Let y = -18 + 12. Let o(a) = 4*a**2 - 2*a - 1. Let p(r) = y*k(r) - 5*o(r). Is p(4) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 2:23 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, k: 3}. What is prob of sequence kk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v - 3. Let b be q(-8). Solve -8 + b = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 2*g + 16, -5*r - 46 + 12 = 3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 675617731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**4\/4 - 14*y**3\/3 - 35*y**2\/2 - 25*y - 216. Calculate l(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-10)*(6\/(-36))\/(2\/4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 78\/(((-46)\/368)\/((-3)\/(-36)))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.086084 rounded to 3 decimal places?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -11*l**2 - l - 1. Let d be s(2). Let p = d - -53. Factor -12*c**3 + 23*c**2 + p*c**4 + 2*c**2 - c**4 - 10*c - 8*c**3.\nAnswer: 5*c*(c - 2)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 499854 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -12. Suppose 4*b = z + 8*b + t, 0 = -4*z + 4*b + 32. Suppose 5*f - z*g - 4 = 3*f, 5 = 2*f - 3*g. Solve -c + 6 = 4*o, -f*c - 4*o = o - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*w**4 - 4*w**3 + 122 wrt w.\nAnswer: 52*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 1. Let i be c(0). Let x be (1 - -148) + (i - -1). Suppose 0 = 5*t + 2*o - 156 - 212, -2*t + 3*o + x = 0. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*2*sqrt(352))\/(6*sqrt(242)*2) + 5.\nAnswer: -12*sqrt(11)\/11 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkk. What is prob of picking 3 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = i + i. Let n = i + 121. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence paqa when four letters picked without replacement from apaaapqap.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 7:21 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (0 - (2 + (-20 - 12)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - h - 386 = 0, 2*h + 382 = -0*j - 3*j. Let b = j + 137. Let n(u) = -u**3 + 6*u**2 + 8*u - 5. Calculate n(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 6:48 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1497? (a) 4 (b) 0.19 (c) 4\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 174*t - 2. Let k be i(1). Suppose -4*l = 3*p - 9*l - k, -266 = -5*p - 2*l. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4809826404?\nAnswer: 2, 3, 43, 47, 66109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, t: 3, b: 8, e: 2}. What is prob of picking 1 a and 1 e?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-21) + 82\/287?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - -28) + 20 + -60\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 3*u**2 + u + 4. Let a be i(-3). What is the first derivative of -2*t**4 - a + t**3 - t**3 - 2 wrt t?\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170.05 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-5) + (-6)\/(-10). Suppose s = -2*r + 33 + 43. Does 19 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -120871044.437564 + 120871253. Let x = n + -142.562433. Let d = -66 + x. What is d rounded to seven decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -43, -15, 45, 149, 309, 537?\n\"Answer: 2*k**3 + 4*k**2 + 2*k - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 481549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -1\/12*a**4 + 45*a + a**3 - 3\/2*a**2 + 0. Let j(w) = -w**2 + 7*w - 4. Let y be (2 + -12)*(-4)\/10. Calculate y*j(m) - 5*p(m).\nAnswer: m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5*o - 27705, 0*z + 5*z + 3*o - 27729 = 0. Suppose 0*i + i - 5524 = -4*l, -i + l = -z. Round i to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 + 2280722*t - 2280720.\nAnswer: -2*(t - 1140360)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 54 = 4*v + 3*k, 51 = 4*v + 3*k. Let f(g) = g**2 + 61*g + 581. What is the remainder when f(-51) is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2114.52 millilitres?\nAnswer: 2.11452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2731230 + 0\nAnswer: -2731230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 771\/4 - 17\/(-68). Suppose u = 2*y - 1893. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.90522 rounded to 2 dps?\nAnswer: 1.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, s: 1, l: 3, g: 1, b: 6, r: 1}. Give prob of picking 1 q, 1 s, and 2 l.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1\/35400, 2\/5, -4, -0.1, 2\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i + 1. Let d(l) = -8*l - 3 + 2 + 5. Suppose 55 - 59 = -4*o. Let p(a) = o*d(a) - 6*v(a). What is the derivative of p(w) wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -z - d, z - 2*d - 2 + 0 = 0. Let h = 0.1 - 0. Let n = h - -4.9. Which is the second biggest value? (a) n (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7383 is divided by 7314?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 13*j = -116, y + 1882273*j - 1882276*j + 11 = -y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 62292, 494606, 1668028, 3953112, 7720412, 13340482?\n\"Answer: 61759*t**3 + t + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25481\/8 - -3185. Let b = 0.6 + -1. What is the nearest to 3\/4 in b, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*-1 - ((0 - 3) + -1). Let t(y) be the second derivative of 0 - p*y - 1\/6*y**4 + 1\/6*y**3 + 1\/20*y**5 + 0*y**2. Determine z, given that t(z) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 23*j - 19*j - 65*j**2 + 67*j**2 - 2 + 4. Let v be r(-2). Solve v*n = 6*n - 6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d**4 + 0*d**4 - 2*d**4)*(-7 + 15 - 4) to the form l*d**4 + g*d + s*d**2 + u + f*d**3 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -30 - ((-31 - -46) + -20)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(336)\/(-2*sqrt(12)))\/(1*sqrt(16) - sqrt(4)) + 5)*-3*3.\nAnswer: -45 + 9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/12194 and -23\/199472?\nAnswer: 13364624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -8*39\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 8*w**2 - 8*w + 11. Let v be k(7). Solve 15 = -9*z + v*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2261.\nAnswer: 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 40544483.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40029*4.1.\nAnswer: 164118.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 882?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 3*y - 2. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -54275?\nAnswer: -2\/54275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 52366789 to the power of 1\/2, to the nearest integer?\nAnswer: 7236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-3))\/(((-63)\/(-27))\/7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 24, -127, -460, -1035, -1912, -3151, -4812?\nAnswer: -6955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82780?\nAnswer: 2, 5, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -7807000 to the nearest 100000.\nAnswer: -7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(-2*sqrt(7)))**2 + sqrt(1053)*-5.\nAnswer: -45*sqrt(13) + 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 569*g*v**2 + 211*g*y**2 - 20871*v**2*y**2 - 4*v**2 wrt g?\nAnswer: 569*v**2 + 211*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 286707419, 4, 3 in descending order.\nAnswer: 286707419, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -s**6\/30 + 29*s**5\/20 + 25*s**4\/6 + 305*s**3 - 6887*s. What is the second derivative of d(n) wrt n?\nAnswer: -12*n**2 + 174*n + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1133 divided by -4\nAnswer: 1133\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4576 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {d: 1, r: 2, b: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 282792353 minus -2853.71?\nAnswer: 282795206.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5505 (b) 2\/9 (c) 0.2 (d) 0.5 (e) -1\/5 (f) -231\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (46 + (-3)\/(-3))\/1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2)*f)**12*(f*f*f\/f**(-2))**2 assuming f is positive.\nAnswer: f**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 92, 89, 86?\n\"Answer: -3*v + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*m = -40*m + 30. What is the hundreds digit of (m - 56*6)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 + 4*y**2 - 2*y**2 + 2*y**2 - y**2 + y**2 + (-3*y + 4*y - 2*y)*(3*y + 2*y - 6*y) - 7*y**2 + 2*y**2 + y**2 + 0*y**2 - y - 3*y**2 - y.\nAnswer: -2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51116496?\nAnswer: 2, 3, 1064927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -207800 to the nearest 1000.\nAnswer: -208000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187943, -375801, -563665, -751535?\nAnswer: -939411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3\/3 - 4924*b**2 - 1501056*b - 110066688.\nAnswer: 4*(b - 3981)*(b + 144)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/2 - -6)*1. Suppose l*g - 2*g = 5*k - 180, 2*k - g - 77 = 0. Calculate the remainder when k is divided by 6\/(-27)*((-1521)\/1352)\/((-2)\/(-48)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 428 - 181 = 5*y - 2*i, -5*y + 267 = 3*i. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295*q - 291*q = 152. Calculate the remainder when 63 is divided by q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**3\/3 + 4531081*r**2\/3 - 5132685084824*r\/3 + 25663312147220\/3 = 0?\nAnswer: 5, 2265538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-620)\/6)\/(-2)*(-2430)\/(-228825)*-226\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -556 = -61*w + 57*w. Let i = w + -137. Let x be -3 + 1 - 1*-4. Solve i*s - 16 = -4*v, -6*v = -x*v - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 - a**2 + 0*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-201)\/(3015\/(-60)))\/(-70).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*(sqrt(1216) + (sqrt(1216) - -1*(sqrt(1216) + -1)) + 3)**2.\nAnswer: 288*sqrt(19) + 32846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 8:50 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, t: 1, m: 3, o: 1, i: 1}. What is prob of picking 1 l, 1 m, and 1 t?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -11*p + 2. Let g = 336 + -336. Let w(n) be the third derivative of 1\/24*n**4 + g + 0*n + 0*n**3 - 18*n**2. What is s(w(r))?\nAnswer: -11*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 5*o + 8. Let g be v(4). Suppose -8*h = -g*h. Suppose h = 26*b - 9*b - 289. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0332 + 0.0668. Which is the nearest to l? (a) -2\/7 (b) 5 (c) -2\/3 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r - 1 + r**2 - 4 + 3)*((5*r + 0*r - 3*r)*(r - 1 + 1) - 2*r**2 - 2*r**2 + 0*r**2) as v*r**4 + t + f*r**3 + c*r + p*r**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 509*u + 505. What is the thousands digit of y(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 3*s + 0*s + (-4 + 0 + 6)*(1 + s - 1) + (4*s - 4*s + 2*s)*(2 + 1 - 2).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*o + 87*o**3 + 14*o**4 - 43*o**3 - 44*o**3 wrt o?\nAnswer: 168*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 10:53 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -12*f - 13. Let t be b(3). Let m = 53 + t. Let k be (-8)\/2 - -2 - -2. Solve 3*s - 5 - m = k for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11961*u**3*w**2 + 4*u**3 + 5475*u**2*w - u*w**2 - 8*u*w wrt u.\nAnswer: -71766*w**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j + 22. Let m be s(0). Suppose 0 = 2*x + 5*q + 7, -m = -4*x - q + 3*q. Solve k - x = -0*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1270*h + 9. Let i(g) = -625*g - 5. Determine -5*i(d) - 3*y(d).\nAnswer: -685*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/15, 0.4, 2.1, 1, -6\/47?\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*u + 0 = 3, -2*u + 2 = 0. Put 4, -1, s, 3 in decreasing order.\nAnswer: 4, 3, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 divided by 4776786\nAnswer: 23\/2388393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2946184 divided by 368273.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -858*v**4 - 5*v**2 - 41?\nAnswer: -20592*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27987 - 27982. Solve -2*o - 2*v = 16, 4*o - v = -n - 22 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 16. Give b(17).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 9:24 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 3 + 69. Suppose f - 2 = 2*s - w, 5*s - 3*w = 14. Suppose 0 = 4*y + 12, 0 = s*u + 5*y - 505 + 148. List the prime factors of u.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 351*s**6\/10 + 265*s**3\/2 - 60*s + 10. What is the second derivative of j(t) wrt t?\nAnswer: 12636*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 7:17 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (8985 + 238413*z - 238411*z + 7310)*(-2 + 2 + 1) in the form p + b*z and give p.\nAnswer: 16295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 12*k + 10. What is the remainder when v(-11) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4014 and 2007.\nAnswer: 4014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 - 46. Suppose -2*d - 3*d = 3*k - r, -6 = -k - 3*d. Suppose -5*l = -3*m - m + 35, m = k*l + 14. Solve 4 = -m*o + x - 7, -4*o = -3*x for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 309688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/6)*m*m**(2\/15)\/m*(m\/(m**0*m*m))**(-2\/13))\/((m**1\/m*m)**(-6))**5 assuming m is positive.\nAnswer: m**(3959\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + f - 15. Let h(c) = c**2 - 2*c + 23. Determine -5*h(m) - 8*t(m).\nAnswer: 3*m**2 + 2*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7953*d**2 + 73*d**3 - 7953*d**2)*(-2*d + 2*d - 12*d).\nAnswer: -876*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1.2, -4, 1.201, 1\/4.\nAnswer: -4, -1.2, -1, 1\/4, 1.201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a day in hours?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -2\/11, -2\/69, 2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 3*i = -2*c + 12, -2*c - i + 4 = 0. Suppose -15 = -m + 4*l - c, 2*l = 5*m - 16. What is the remainder when m is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 7:10 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*x**2 - 6*x**2 - 9*x**2 + 58*x - 11*x - 2*x**2 to the form m*x**2 + n*x + b and give n.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -78 + 15*d**2 + 12*d**2 + 24*d**2 - 82*d**2 + 21*d**2. Let c(v) = -3*v. What is c(s(l))?\nAnswer: 30*l**2 + 234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4490, -8999, -13508, -18017, -22526?\nAnswer: -27035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 1 = 5*o - 0, -z - o = -3. Let y be 0 - (-14)\/4 - z. Let w(h) = -h + 6. Let l be w(4). Which is the nearest to l? (a) y (b) 1 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 3)\/((-8)\/76) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49953? (a) -7 (b) -0.4 (c) 3\/7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.24.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 291\/12 + (-1)\/4. Suppose y = 2, -k = -5*r + 4*y + 68. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 266032?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.08311505 + -0.230064\nAnswer: -1.31317905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1839?\nAnswer: 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3575a (base 13) to base 7\nAnswer: -555333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*a + 60 = 0, 5*j - j = -4*a + 80. Let t = 401 + -376. Solve -30*u - j = -t*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 912*c - 27317. Give q(31).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0, 4, -0.11029 in ascending order.\nAnswer: -2\/9, -0.11029, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 1 + (4 - 6 + 3)*(-9 + 13 + 9) + 1 - 4 + 2 - 7 + 1 + 4)*(-4*n - 2*n + 7*n) to the form a + r*n and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 994 - 728. What is the least common multiple of 119 and r?\nAnswer: 4522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 (base 11) in base 4?\nAnswer: 3001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357038?\nAnswer: 2, 11, 16229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 152291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 11. Let v = 10 - f. Let r be 0 + (8\/(-10))\/2. What is the closest to v in r, -0.5, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -201*q - 4554. What is u(-23)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 166585 divided by -33317.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12888067, -25776133, -38664199, -51552265?\nAnswer: -64440331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*a*z**2 + 1755*a + 4498*z**2 + 10*z wrt a?\nAnswer: -8*z**2 + 1755","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 471432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.115 + -0.128. Let p = t - 2.987. Which is smaller: p or 10?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j - 5. Let a be m(-8). Suppose -4*g + a + 13 = 0. Let t(p) = -2*p + 1. Calculate the remainder when t(-3) is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193 + 183 - (-1 + 3 + -3) - 8?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61.34764 litres?\nAnswer: 61347.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnobbbgbxn. Give prob of sequence xnob.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 - (-30 - 3)) + 24.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**2. Let g(b) = -4*b**2. Let l(w) = 4*g(w) - 5*h(w). Let v(c) be the first derivative of 27*c**2\/2 + 3*c + 1271. Calculate v(l(f)).\nAnswer: -27*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 1386*u**2 - 6867*u - 5484.\nAnswer: -3*(u + 1)*(u + 4)*(u + 457)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 1\/2. Suppose 0 = 3*w + 3*a - 21, w - 3*a + 13 = 2*w. Let x be 96\/51 + w\/(-2). What is the biggest value in 5, s, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1274*p**3*z + 282*p**3 - 3*p**2*z - 4*p**2 + 46*p*z - 19*p - 31*z + 21 wrt p.\nAnswer: 7644*p*z + 1692*p - 6*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*i - 53*i = 30. Let g(o) = 3*o + 22. Let p be g(i). Suppose 0*j - p*j + 196 = 0. What is the remainder when j is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -8*v - 2. What is the remainder when m(-9) is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Let v(x) = 4*x + 2247. Does 4 divide v(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/17 (b) 246 (c) -1 (d) 1 (e) -5 (f) -0.4 (g) -1.278\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a + 8*a = 115206. Calculate the highest common factor of a and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.018 + -4.062. Let b = -4.7 - d. Round b to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = i + 64, 2*v - 3*i - 112 = -3*v. Calculate the greatest common divisor of v and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25530055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thtgggd. What is prob of picking 1 d and 1 t?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 200710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/5 (b) 6\/7 (c) -0.203 (d) -5 (e) 0 (f) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 281128.5 - 281129. Let y = 9 - 14. Which is the nearest to -1\/5? (a) z (b) y (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -1)*(-2 - -3). Is (6\/3)\/(4\/254)*r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121565*f - 336291*f - 1437603*f.\nAnswer: -1652329*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**2 - 1\/2*f**3 - 5\/24*f**4 - 1\/60*f**5 + 0*f + 0. Let h be z(-3). Sort h, 6, -2 in increasing order.\nAnswer: -2, h, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20980605 divided by 5\nAnswer: 4196121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -13009 minus -3?\nAnswer: -13006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14.57473+31065\nAnswer: 31050.42527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2401141 (base 5) in base 3?\nAnswer: 2020020201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 1524*w**2 + 3012*w + 12144.\nAnswer: 3*(w - 506)*(w - 4)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2568\/232 + -8.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/26214 and 149\/3162?\nAnswer: 812634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 10000100010000101000111?\nAnswer: -10000100010000101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -42*n - 19. Is l(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9527, -9909, -10523, -11363, -12423?\nAnswer: -13697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 24, 5*m + 6103 = -2*g + 27185. What is the thousands digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-8)*18*1. Let m be ((-2)\/(-3))\/((-4)\/l). Find the second derivative of -7*y - m*y + 9*y**4 + 2*y wrt y.\nAnswer: 108*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(1*sqrt(242) + 3) - -4*(sqrt(242) + 3*(sqrt(242) - (1 + sqrt(242)))))*3)**2.\nAnswer: 5346*sqrt(2) + 8739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2dc + -5?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, d: 5, h: 2, r: 1, c: 5}. Give prob of sequence mmcc.\nAnswer: 5\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 8 = 2*o, -170*o + 0*k + k - 38 = -178*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20 - -4?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1496 - 2575. Let c = i + 1599. Does 26 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 266\/132 - (-14)\/(-77) and (-213)\/99 - -2 - 2.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1315392)\/(-95472)*3*(-6)\/(-4).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 585 - 561. Let k be (a\/32)\/((-1)\/(-12)). Solve 4*y + 15 = y + 2*m, 2*y - k = -5*m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 79 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -290152, -580301, -870450?\nAnswer: -1160599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - d - 28 = 0, -3*f = -0*f - 2*d - 21. Let i be ((-448)\/(-5))\/4*f. Calculate the highest common divisor of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 32135 - 27375 = 3*t, 0 = 5*b + 3*t - 148817. List the prime factors of b.\nAnswer: 29761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/(-2))\/(2\/(-4)). Let v = 41 + -34. Suppose 2*f - v*f = 5. What is the nearest to d in 2, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 5*u + 3*i, -3*i = -3*u + 30. Let t = u - -3. Is 2\/t - (-483)\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4980 by -4.\nAnswer: -1245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -56?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + 3 - (10 - (-12 + 31))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9836 (base 12) in base 3?\nAnswer: 211222020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (19\/(-38))\/(1\/1216). Let g = j - -954. What are the prime factors of g?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*10)\/((-15)\/(-18)*(-9)\/180*16).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x - x)*(-x**3 + 0*x**3 + 2*x**3) + (-3*x - 4*x + 3*x)*(4*x**3 + 5*x**3 + 4*x**3) + (-2 + 2 + x**2)*(-2*x**2 - x**2 + 4*x**2).\nAnswer: -52*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-64*u + 35*u + 77*u)*(2 - 28*u - u**2 + 0 + 30*u) to f*u + w + n*u**3 + x*u**2 and give n.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49? (a) 3 (b) -0.1 (c) -0.01 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101873253 is divided by 184?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/7))**(-2\/23)\/(h\/(h\/h**(4\/5)))**2)**(-13\/5) assuming h is positive.\nAnswer: h**(16484\/4025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27486500 and 109946000?\nAnswer: 109946000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2 + 82850*p + 82848 = 0.\nAnswer: -41424, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354 = 4*z + 130. 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: Find the second derivative of -a*r*w**2 + 2*a*r*w + 14*a*r - 3089*a*w**2 + a*w + 916*a + r*w**2 - 14*r*w - 2*r - 3206*w**2 - 1 wrt w.\nAnswer: -2*a*r - 6178*a + 2*r - 6412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 456401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - l - 259 = 0, 204 = -3*j - l + 49. Let f = -44 - j. Calculate the lowest common multiple of 4 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*(-1*1*sqrt(1275) - sqrt(1275) - sqrt(1275)))\/(((sqrt(24) - (sqrt(264)*-2 - sqrt(264))\/sqrt(11)) + sqrt(24))\/(5*sqrt(32)\/sqrt(4))).\nAnswer: 4 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.49, 4\/5, 219, -2.\nAnswer: -2, 0, 0.49, 4\/5, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f**2 + 6*f - 3*f - 12 + 9 + 3*f**3. Let v(a) = -a**2 - a + 1. Let k(p) = -t(p) - 3*v(p). Find the third derivative of k(g) wrt g.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6928 is divided by 165?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2438634889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 355687*q**2 - 17.\nAnswer: 355687*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (66\/(-72) - -1) + 3\/(-9)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66355, -132698, -199043, -265390?\nAnswer: -331739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from yyyykyykyvyyyy?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 - 10.5. Let q = 8 + i. Which is the third smallest value? (a) 0.4 (b) -0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*c**3*z**3 + 42*c**3*z**2 + 42*c**3 - 1022*c*z**3 - 6*c*z**2 - c*z + 6*z**3 wrt z.\nAnswer: -90*c**3 - 6132*c + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -33.\nAnswer: -14\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 812503?\nAnswer: -812506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7\/2*(-24440)\/(-364) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40829000 to the nearest one hundred thousand.\nAnswer: 40800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -132440430 (base 5) in base 9?\nAnswer: -1232841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 441\/35*660\/18. Let k = y - -110. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 3*h + 88. Let q be p(-11). Suppose q = -0*k + 4*k + 16, -t - 296016 = 4*k. Round t to the nearest ten thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 46. Let h = u + 30. Solve 9 = h*m - x + 3*x, -3*m = 5*x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2369 and 5768.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41\/120 - -3\/10. Let v = c + -85\/264. What is the fourth biggest value in v, 3, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -6 - -1) + (-1 - 3) - 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 32. Let p = n - 6. Let l be (-20)\/(5 + -10) - 282\/69. Put -0.2, p, l, -0.5 in ascending order.\nAnswer: p, -0.5, -0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.08 - -3.08. Let p be (-19)\/(-19)*2\/(-9). What is the smallest value in f, 2\/17, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -159420 and 3.\nAnswer: -159417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2004\/16 + (-3)\/(-4). Let c(b) = b**2 + 27 - p - 22*b + 38 + 29. Let o be c(22). Is -32 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4218457179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 11*o**9\/504 + 11*o**6\/120 + 22*o**5\/5 - o**3\/3 - 15*o**2 - 14*o. What is the third derivative of u(x) wrt x?\nAnswer: 1320*x**3 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1061535\/11 + -96775. Let o = -272 - p. Which is the closest to -1\/3? (a) 1 (b) o (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*1*2\/(-2). Suppose w = -12*q + 14*q - 4. Let x(n) = -n**2 - 3*n - 1. Let z be x(-1). Solve -z = q*r - 5*a + 2*a, -4*a = -4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -38600034.\nAnswer: 5\/38600034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -46*m**2 + 27576*m + 323841. Determine k(611).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25210*p**4 - 44067*p.\nAnswer: -302520*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2164\/45 + 11\/45. Let x = 48 - d. Let k = 1351 - 1351. Is x less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-78)\/4*(23 - (-335)\/(-15)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 733*c**2 - 27857*c + 117. Give y(38).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1100*n + 3*n**3 - 24*n**3 + 19*n**3.\nAnswer: -2*n**3 - 1100*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4517001796 by 4.\nAnswer: 1129250449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3 + 370*d**2 + 13600*d + 132000.\nAnswer: (d + 20)**2*(d + 330)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 + -1. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/40*4*2. Let m = 0.2 + -0.4. What is the second smallest value in 0.3, h, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38836370 by -1.\nAnswer: 38836370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**3\/3 - c**2\/2 + c + 6. Calculate x(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - x = f - 53, -88 = -4*f + 3*x. Suppose 2*k - 3*k + 56 = 0. What is the remainder when k is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnpnpnpinnp. Give prob of sequence pnp.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - 5. Let h be n\/(1\/34600*2). What is h rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7 and 35439.\nAnswer: 35432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 708 + -48. Suppose -6*d + q = -3*d. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3404805243?\nAnswer: 3, 7, 101, 499, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -63*q**3 + 15*q**2 - 75*q - 3. What is the units digit of f(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a micrometer in nanometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37800)\/3276 + -1 + (-7)\/(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 0.04 (c) -2 (d) 1\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 8*g - 5. Let u = -3 + -4. Let r be p(u). Factor a**3 - a**5 - r*a**4 - a**3 - a**5.\nAnswer: -2*a**4*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + f - 5*f)*(-1 - 1 + 4) + 35*f - 33 + 33.\nAnswer: 23*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*411168.\nAnswer: 2467008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/50775 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*j**2*v**2 + 2*j**2*v - 26*j*v**2 - 32*j*v + v**2 - 3065*v - 1 wrt v.\nAnswer: -36*j**2 - 52*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 169833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85867922?\nAnswer: 2, 7, 263, 23321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 - 10*m - 9. Let k be o(6). Solve 0*z + 1 = f + 3*z, -5*z = k*f + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 2, q: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 346. Let t(u) = -15*u. Determine t(p(n)).\nAnswer: 15*n - 5190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + 11*l**2 + 24*l + 2. Let p be x(-7). Suppose 0 = -25*y + p*y - 2267000. Round y to the nearest ten thousand.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/(-252)*(-11175)\/250 and -193\/210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*1 + (-21)\/(-14)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -1\/5 (b) 1\/33 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*l + 3*t = 33*l + 44, -2*l - 28 = -3*t for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-6)*6\/(-9). Let v = 424675\/9 + -47181. Solve -v*u**4 - f*u**2 - 14\/9*u**5 + 0*u - 40\/9*u**3 + 0 = 0.\nAnswer: -2, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2389 is divided by 1188?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 73943601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 17. Let w be (-38)\/(-88) + (-3)\/(j + 11). What is the third biggest value in -1, w, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 563 + 152760?\nAnswer: 153543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -26. Let j = -66 - -124. Let o = j - 43. Put w, -2\/7, o in descending order.\nAnswer: o, -2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3*1)\/(3\/3). Let v = 28.45 - -3.55. Sort v, -1, p in descending order.\nAnswer: v, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z + 5*z + 26*z**2 + 7*z + 2*z.\nAnswer: 26*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2 + 7*o + 221. Determine v(-29).\nAnswer: -1664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**3\/3 + f + 137. Let u(o) = 11*o - 7. Give u(n(k)).\nAnswer: -22*k - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 14, h: 2, z: 1}.\nAnswer: 91\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 136 - 1770\/13. Let i = 1375 + -1374.5. What is the second smallest value in i, -44, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 less than -963238838?\nAnswer: -963238932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 - ((66 - 27) + 27)) + 27.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 = 11*f - 339. Solve 0 = -83*z + 74*z + f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4 - 1 + 4. Let u(i) = 2*i - 6*i - 17812 + 3*i + 17810. Calculate 2*a(d) - 2*u(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - 3*k**2 + 4*k + 2. Let z be s(-4). Let l = 16 + -27. Let d be (-316)\/(-44) - (-2)\/l. Solve 3*y - z = d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65\/24 + -3371\/120. Let g = -25 - o. Find the common denominator of g and (-27)\/(-30)*(-35)\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18116, -36234, -54352?\n\"Answer: -18118*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 - u - 1. Let j(w) = -70*w**2 + 25*w + 20. Let n(g) = j(g) + 25*x(g). Give n(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-5) + 66\/15. Solve -y*s = -1 - 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*i = 190*i - 4623. Let v be 4 + -2 + (-27)\/12. Is v > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 8. Suppose d - 5*z - 36 = f, 0 = -3*d + 3*z + 43 + 29. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2247*p**4 - 49*p**3*s**3 + 3*p**3*s + 19670*p**2 - 294*p*s**3 wrt p.\nAnswer: -53928*p - 294*s**3 + 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -17*z - 21 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18444780 + 5?\nAnswer: -18444774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000964 rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -101112212 (base 3) to base 7\nAnswer: -31265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 1225*c + 14.\nAnswer: -1225*c + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**4 - 7*q**3 - 11469*q**2 - 17062*q - 2 wrt q?\nAnswer: 24*q**2 - 42*q - 22938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*5*14\/(-245)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(0 - -1) - -2. Let u be ((-4)\/30)\/(s\/6). Which is bigger: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 7*y - 5. Suppose 2*j - m = -9, -17 = -5*j - 3*m - 56. Let o be f(j). Solve 0 = 3*r + o - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/((-4)\/3))\/(123\/(-932258)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -164 + 165. What is the second smallest value in -0.12, r, -0.4?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4606.2651 to zero dps.\nAnswer: -4606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1141513*h**4 - 31*h**2 - 2*h + 3803?\nAnswer: 27396312*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.3 (b) 0 (c) 10 (d) -0.098 (e) -16 (f) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 14. Let u be g\/33 + (-11)\/(-3). Let w = 14 - u. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-372)\/(-16))\/(181\/(154936\/(-321)))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + -3. Let s be (22\/4 - 5)*-6. Let f = 5 - 6. Sort b, f, s.\nAnswer: b, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**2 - 4*h + 1. Is z(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2619.1 * -0.26.\nAnswer: 680.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -44, 1\/10, 149?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 7. Let t be x(-9). Let s = t - 9. Let p(v) = -6*v + 4*v**2 + 9 + v**2 - 3*v - 4*v**2. What is p(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 e when three letters picked without replacement from {e: 2, c: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1044, 852, 648, 426, 180, -96, -408, -762?\n\"Answer: -l**3 - 185*l + 1230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -i + 9, 243*d - 246*d = -3*i + 9. Sort d, 4, 203 in ascending order.\nAnswer: d, 4, 203","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -10*u - 106. Let p(b) = -2*b + 1. Let a(z) = -o(z) + p(z). Is a(25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**7\/700 - 7*p**6\/1800 + p**4\/120 - 2*p**3\/3 - 3. Let i(v) be the third derivative of q(v). Let i(t) = 0. Calculate t.\nAnswer: -1, -1\/2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/25 + 19669\/5. Let z = 2193 - f. What is z rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4695 is divided by 335.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4102679?\nAnswer: 7, 409, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g + 2 - 1 + 12*g**2 + 0*g + 10*g**2. What is the remainder when r(-2) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/25*-2*(-35)\/168. Which is the second biggest value? (a) 4 (b) -0.3 (c) -3 (d) -2 (e) r\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x. Let o(b) be the second derivative of 95*b**4\/12 - 7*b. What is i(o(j))?\nAnswer: 95*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 265 and 62752?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 489 - 2933\/6. Let t(l) be the second derivative of 0*l**3 - 1\/30*l**5 + k*l**4 - 4\/3*l**2 - l + 0. Factor t(d).\nAnswer: -2*(d - 2)**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(5)*3)**2.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 48*m + 48. Let v be n(-47). Which is the closest to v? (a) 5 (b) 2\/3 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 4. Let b(m) = 50*m**2 + 2*m + 2. Let t be b(0). Calculate z(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 12 - 2, 2*n + 5*d = 109. Suppose 41*o - 35*o = -n. Does -7 = o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1136.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 45210102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - -2*sqrt(104))*4*3)\/(3*sqrt(40)\/sqrt(5)*-5).\nAnswer: -12*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 109761014 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1377) + 1)**2 + sqrt(1377) + -3 + -3 + 0.\nAnswer: -45*sqrt(17) + 1380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17963 and 17082032?\nAnswer: 392886736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 10 = -2*g, -2*a + 168*g = 167*g + 29 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 142931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-5)*k*k**(-1\/2)*k)\/(k*k**(1\/3)\/k*k*((k**1\/k)\/k)\/k)*(k**(2\/5)\/k)**(2\/21)\/(k**(2\/5))**(-30\/7) assuming k is positive.\nAnswer: k**(2063\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 c when three letters picked without replacement from {d: 5, c: 5}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*d - 188553 = 0, 13*d + 339351 = 9*m + 11*d. Is m a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 455743?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 749?\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1.91659 nanoseconds?\nAnswer: 0.00191659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1089.704299 to zero decimal places.\nAnswer: -1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from {u: 1, z: 1, d: 2, o: 2, y: 1, l: 2}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 m when four letters picked without replacement from {m: 7, c: 2, x: 7}?\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 21 = 6. Let w = -262 - -558. Let a be w\/16 + 6\/4. What is the greatest common divisor of a and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppplmpppuppusmoppm. Give prob of sequence lp.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/5*(-6)\/24. Let f be (-42)\/(-36) + (-4)\/4. What is the third smallest value in o, f, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1203199*j. Let c(a) = 8*a. Give c(l(z)).\nAnswer: 9625592*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 18) + (5 - 10) + 5 + 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -192 or -191?\nAnswer: -192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2316\/24318)\/(((-1)\/(-9))\/1).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m - 43. Let y be g(-22). Let x(h) = -1 + y + 96*h - 92*h. Let q(j) = -j**2 - 6. Let l(w) = -w**2 + 1. Let v(f) = 6*l(f) + q(f). What is x(v(n))?\nAnswer: -28*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, h: 7, t: 6, k: 4}. Give prob of sequence lhk.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 300248.\nAnswer: 2, 13, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 1)*(-2 + 1 + 0)*(l**2 + 2*l - 2*l)*(3 + 3 - 7).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 + 3*k + 11*k - 7*k**2 - 7*k**2 + k + 16*k**2 in the form v*k**2 + g*k + h and give h.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**4\/24 + 7*w**3\/6 + w**2. Let n be g(6). Let y = 111 + -109. What is the highest common divisor of y and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1093.1 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/(-2)*66\/(-77). Let c(t) be the first derivative of -7*t + 17\/3*t**3 + z + 0*t**2. Find the first derivative of c(s) wrt s.\nAnswer: 34*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 73707 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 in 5\/14 of a week?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9952, 19895, 29834, 39769, 49700, 59627, 69550?\n\"Answer: -2*s**2 + 9949*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -634606, -634613, -634620, -634627, -634634?\nAnswer: -634641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - z = -7*o + 145, -2*o = -4*z + 296. Are -149 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2671 divided by -404?\nAnswer: -2671\/404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*w + 22 = 0, 25*n - 4*n = 17*n - 3*w - 35 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 3*s - 8. Let a be m(-5). Solve 0 = -x + a*i + 7, -x + 0*x - 3*i - 13 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8\/9, 61, -559.3 in descending order.\nAnswer: 61, 8\/9, 0, -559.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 371 - 375. What is the second biggest value in m, -0.3, 65\/44?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**3\/9 - 64*y**2 + 4608*y = 0?\nAnswer: 0, 144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/7 - 610744*h**2\/7 + 4885856*h\/7 - 9771648\/7.\nAnswer: 2*(h - 305364)*(h - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**3 - v**2. Let m = 23 - 24. Determine i(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 8, -5*y - 36*i + 34*i + 17 = 0. What is the nearest to -2\/5 in 1\/6, y, -5, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 273\/195*50*1. Solve -4 = -22*h - i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 16*j**2 - 8*j - 17. Let x(n) = 2*n**3 - 14*n**2 + 2*n + 1. Let y be x(7). What is the tens digit of q(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 3*n - 40, -5*m - 10 + 0 = -5*m + 11*n - 10 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2003 + 231311201?\nAnswer: 231313210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -4*o + 48, 8*o + 6*w + 70516 = 70610 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + h + 1 = 0, -3 = 4*g + 6*h - 3*h. Let v = 4 + 1. Solve -5*l + 20 = g, -4*l + v = -5*w + l for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258 divided by -6.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (33 - 6) + (103 - 132)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w - w + 0*w)*(-63652 + 3354 - 72967 - 25523 + 34155)*(-1 - 1 + 1) to the form p*w + n and give p.\nAnswer: -124633","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2 + 12*l - 10. Let j be i(10). Let n = -27 - j. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 424514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98759202?\nAnswer: 2, 3, 1823, 9029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-12)*24\/(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 30, -11, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*-6*(sqrt(192) + 0)*1)**2.\nAnswer: 248832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1518)\/99)\/(-23))\/((28\/234)\/7).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-2) + 0)\/1. Let l be 2\/(-4) - j\/(-2). Suppose l = -6*m + 9*m - 153. List the prime factors of m.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111980305 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2, 1, -8, -1\/15, 390?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98 - -110. What is the remainder when y is divided by 106\/(-689) - (-41)\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -245 - -664. Let t = -407.7 + p. Is t <= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -15*f + 2*f - 16*f + 4 - 4*f**2 - 201*f**4. Let r(a) = a**4 + a**2 + 2*a - 1. Let p(l) = 4*r(l) + t(l). Find the second derivative of p(d) wrt d.\nAnswer: -2364*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*u - 2. Let f(t) = -3*t**3 - 2*t + 1. Let k(z) = -4*z**3 - 3*z + 1. Let y(p) = u*k(p) + 3*f(p). Find the first derivative of y(s) wrt s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1159705018 to the power of 1\/2, to the nearest integer?\nAnswer: 34054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 + -14 + 0 + 1 + 29 + -6.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yii when three letters picked without replacement from tmiiymimiyymmm.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 0*v + 0 - 5*v**2 - 11\/3*v**3 + 29\/24*v**4. What is the first derivative of y(z) wrt z?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-10) + (16\/15)\/4. Is f < 3.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11312204 + -4?\nAnswer: 11312200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 7*a - 10. Let q be m(-6). Let c be (q + 0)\/(1\/(-4)). What is the greatest common divisor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in two fifteenths of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 4 + 1 + (-20 - -18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -6 + 0 + 10\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2aca38 (base 14) in base 2?\nAnswer: -101101100111011011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7941 - -23342. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**27*y*y)\/(y\/(y\/y**(-1\/4))))\/(y**(-1\/10)\/y)**(-1\/14))**(4\/13) assuming y is positive.\nAnswer: y**(4084\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - 2*y + 4*y + 2)*(-y**2 - 6*y**2 + 5*y**2).\nAnswer: -10*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**2 - 6*d**2 + 4*d**2 + 0*d**2. Let l be k(1). Let q = -4.3 - -4. Which is the smallest value? (a) l (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 26*x - 354. Let r be u(-36). Let k(q) be the third derivative of -1\/72*q**4 + 0*q**3 + 1\/360*q**r + 0*q**5 + 0 + 0*q - 12*q**2. Factor k(m).\nAnswer: m*(m - 1)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -802, -3200, -7186, -12754, -19898?\nAnswer: -28612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*a - 34. Find the first derivative of -2*h**a + 95*h - 137*h - 3 - 2 - 111 wrt h.\nAnswer: -8*h**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 642 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 1\/3*z**4 - 8\/7*z**3 + 0 - 8\/7*z**2 - 9*z. Factor k(y).\nAnswer: 4*(y - 2)*(7*y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -25*a + 7. Does 6 divide l(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*i - 203*i = -105*i. Put -4, 13, i, 1 in decreasing order.\nAnswer: 13, 1, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 254453439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 9 = -3*i + 12, 0 = k - i + 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 886686971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 205057 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -5. Suppose -2 - t = -2*b. Solve -y = 5*x + 14, -b*x + 2 = -y - 4*x for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(612)*2)**2 - ((sqrt(612) - sqrt(612)*-2) + sqrt(612))*-4 - (-4*(-4 + sqrt(612)*-1 + sqrt(612) + sqrt(612)))**2.\nAnswer: -14944 + 864*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 24 = 4*u, 3*u - 12 = -4*i - 58. Let r = u + -5. Calculate the lowest common multiple of 7 and (55\/r - -3)*-12.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g**3 - 2613*g**2 + 3945*g + 5237. Give p(-437).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 24, h + 4*l - 6147 = -6180 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = v + q, -3*q - 2*q = -4*v - 5. Suppose v*x + 5*u - 30 = 0, 0*x - 5*x = u - 18. What is the lowest common multiple of x and 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h - 9. Let o be y(6). Let l(b) = -2*b - 4. Let j be l(-5). Solve 0*r = -o*r + j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -1. Let n be (1 - 7 - -1)\/(-1*1). Suppose n = -6*u + 149. Let a(v) = 6*v + 10. Let q(c) = u*m(c) + 3*a(c). Differentiate q(h) wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/6 + 18733\/26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 0*d**2 + 3*d**2)*(d**3 + 2*d**3 - 2*d**3) + 97*d**5 - 3*d**4 - 673*d**5 - 52*d**5 - 1634*d**5.\nAnswer: -2261*d**5 - 3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - 3*v - 8. Let r be a(4). Suppose -18*w + r*w + 2328 = 0. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -897, -986, -1229, -1704, -2489, -3662, -5301, -7484?\n\"Answer: -13*t**3 + t**2 - t - 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (60\/135)\/((-8)\/(-60)*5)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s - 23. Suppose -h - 3*q - 13 = -0*h, 4*q + 29 = -3*h. Let d be b(h). Solve -5*z - d*n - 30 = 0, -z = -5*z - 2*n - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/11, 16.03905, -4, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 14*i**2 + 45*i - 21. Calculate q(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133049.4 millilitres to litres.\nAnswer: 133.0494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 756626 to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 29*y**6\/120 - y**5\/30 + y**4\/12 - y**3\/6 + 25*y**2. Give s(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 5:35 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3, 13, 31, 51?\n\"Answer: b**2 + 13*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1060707 is divided by 542?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*q - 1. Suppose -q*t + 100 = t. What is the greatest common factor of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*r**2 - 7 + 12*r**2 - 2 - 1 + 13*r**2 + 2*r to i*r + w + k*r**2 and give k.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -137635*((-124)\/70 - ((-594)\/126)\/(-11)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -298.\nAnswer: -59.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) -4 (b) -1.58 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -418*p**3 - 35323*p**2 + 2*p - 44805218?\nAnswer: -1254*p**2 - 70646*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5444.89 years to centuries.\nAnswer: 54.4489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -9. Let w(d) = d**5 + d**4 - d - 1. Let m(p) = -p**4 - p**2 + p + 1. Let v(u) = z*m(u) - 3*w(u). What is the third derivative of v(c) wrt c?\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(2\/9)*b*b)**(-2\/47)*(b\/((b*b*b**(1\/2))\/b))**(-28\/3))\/(b**(-7)*((b**(-6)*b)\/b)\/b*b*b*(b\/b**2)\/(b\/b**(-1\/3))) assuming b is positive.\nAnswer: b**(7979\/423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52176 is divided by 8687?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2134677?\nAnswer: 3, 83, 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-200)*-4)\/(3\/18).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 46.055 and 19239323?\nAnswer: 19239276.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 7*j**3 + 5*j - 5. Let u(w) = w**3 - w + 1. Suppose -11*x = -45*x + 34. Determine x*a(m) + 5*u(m).\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 1, -1205, 4\/17?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4\/6 + 197*w**3\/3 - 3044*w**2\/3 + 9595*w\/3 - 4499\/2 = 0 for w.\nAnswer: -409, 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (171\/(-12) - -14)*36.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1303194 - 2.71\nAnswer: -1303196.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 7 - 19*w + 8 + 16*w - 8 to the form y + o*w and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/(-432)*18*(-42)\/(-8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 7*m = -3. What is the units digit of m + (-2)\/2*-7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 - y**2 + 2*y**3 - 3430*y - 4452*y**3 + 3430*y + (-4*y + 3*y - y)*(3*y**2 - 4*y**2 + 0*y**2) in the form v*y**3 + w*y + q*y**2 + u and give v.\nAnswer: -4448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.181 - -11.451. What is r rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 16*b**2 + 17*b + 23. Suppose 2*m - 4*s - 22 = 0, 4*m = -2*s + 45 + 29. Is w(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9658 + 9621. Let s(o) = 2*o + 59. What is s(z)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -1\/120*p**6 + 0 + 0*p - 1\/6*p**5 + 4\/3*p**3 + 17*p**2 + 1\/24*p**4. Calculate j(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33372, -33373, -33374, -33375, -33376?\nAnswer: -33377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/9 in 3, 2, 6\/11, 2\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*p**2 + 31*p**2 - 11*p**2 - 7*p**2 in the form h*p + a*p**2 + b and give a.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*k = 456. Let c = -3214 + 3572. Let q = k + c. List the prime factors of q.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: c2da43 (base 14) to base 15\nAnswer: 89b2e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/((-143)\/(-2)))\/(9\/9)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 12*r**2 + 9*r - 24. Let s be v(-11). Let c be ((-2)\/3)\/(2\/24). Let w = s - c. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 - 3*b**2 - 7*b - 5. Let s(a) be the second derivative of a**5\/20 + a**4\/6 + a**3 + 2*a**2 + a + 303. What is 4*d(n) + 5*s(n)?\nAnswer: -3*n**3 - 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(425) + sqrt(17) - (sqrt(34)\/sqrt(2) + 2 - sqrt(17))**2.\nAnswer: -4 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*i - 10*i + 25*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50.52 + 50.6. Let h = 3 + -6. Which is the smallest value? (a) h (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2068 * 246.\nAnswer: 50.8728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-14)\/(-21))\/((10\/(-9))\/(-5)). Let x be m\/9 + (-65)\/15. Suppose -3*g + 9 = 4*k, -k + 12 = -g + 5*g. Which is the closest to k? (a) -2 (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 - 2*g**2 - 11*g - 19. Let o be r(-2). Let w(f) be the first derivative of 5*f + 0*f**2 - 2 - 5\/3*f**o. Find the first derivative of w(h) wrt h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 - -444. Suppose 0 = -5*f - s + 1089. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -10122*n**2 + 1. Let b(y) = y. Determine b(g(s)).\nAnswer: -10122*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 167.3835408 nanoseconds?\nAnswer: 0.0000000000002767585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/15, 2\/9, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.9 - 3. Let i = 8.3 - 8.1. Let p = -4 + 6. What is the closest to 0.1 in i, y, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -144?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 10*x**3 - 51458*x**2 + 205808*x\/5 - 8232 = 0.\nAnswer: 2\/5, 5145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -0*q - 0*q. Solve q = 2*s - 15 + 23 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t + 311. Let q be (-89 - -84)\/((-1)\/(-2)). What is the remainder when j(0) is divided by (-2 - -1) + 59 + 4 + q?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 433261000 by 25.\nAnswer: 17330440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 231\/2*v - 42*v**2 + 3\/2*v**3 - 75.\nAnswer: 3*(v - 25)*(v - 2)*(v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63379 is divided by 21125.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -250b2 (base 12) to base 9\nAnswer: -75828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/4596 and 25\/96.\nAnswer: 36768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(245))**2 + (sqrt(500)*-4)**2 + (1*sqrt(5)*4 - (sqrt(55)*3 - sqrt(55))\/sqrt(11))**2.\nAnswer: 8265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -94 and 2246095 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 608\/(-76) + (-26)\/(-2). Suppose -3*k + 2*i = -1392, -b*k - i = -2*i - 2320. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -52974\nAnswer: 158922","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 903 + -7215\/8. Find the common denominator of q and 517\/(-110) + 0 + 1.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1573844 and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18984 divided by -8.\nAnswer: 2373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.2, -168?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*m - 2*i + 171, m = -5*i + 69. Is m a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 939? (a) -82\/45 (b) 5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -779 + 849. Calculate the remainder when 252 is divided by w.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 7*k - 2. Let v(d) = -4*d + 1. Let j = -10 + 16. Let u = 8 + 3. What is j*i(g) + u*v(g)?\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 63603281153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.25, 0, -1\/8 in descending order.\nAnswer: 0.25, 0, -1\/8, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*z + 2*z. Is 1\/2 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1443 + 1438.697. What is r rounded to 1 decimal place?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 10*u + 15*u + 494 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 7*x**4\/4 - 9*x - 5. Differentiate u(s) wrt s.\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -278147548*h**2*j - 179032730*j wrt h?\nAnswer: -556295096*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 27.55. Let h = l + 4.45. Sort h, 6, -2, 2 in decreasing order.\nAnswer: 6, h, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, 60, 397, 1056, 2145, 3772, 6045?\nAnswer: 9072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((-4)\/14*-1). Let c be 4\/18 - i\/9. Which is greater: 3 or c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - (sqrt(156) + 1*(sqrt(156)*-1 - sqrt(156)) + sqrt(156)) - -5*-2*sqrt(156))\/(sqrt(48)\/((sqrt(32)\/sqrt(4))\/sqrt(2))).\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjx when three letters picked without replacement from {j: 2, x: 1, q: 2, m: 2, e: 8}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 112 - 322 = 0. Suppose -d = -w + 113. Suppose p = -4*o + w, 3*o = -3*p + 255 - 24. What are the prime factors of o?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 less than or equal to 113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88722 is divided by 11084?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 393988 and 700.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15690, -31382, -47074, -62766, -78458, -94150?\nAnswer: -109842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 - 5*m**4 + 5*m**4 + (-3*m**3 + 6*m**3 - m**3)*(5*m + 3*m - 6*m) - 4*m**4 - 11*m**4 - 5*m**4 - 2*m**4 + 6*m**4 - m**4)*(1 - 3 - 2).\nAnswer: 56*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -167 at least as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1 - 2 = 0. Let c = 8 - 5. Put -5, m, c in descending order.\nAnswer: c, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtt. What is prob of sequence tv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -1 - 8\/3*r**3 + 2*r - 3*r**2. Determine p, given that h(p) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - u**2 + u + 14. Let t be d(0). Let q = t + 9. Is q 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) 2\/7 (b) 1.6 (c) 21 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1152 and 60.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**3 + 9 - 3 - 3976*g**2 + 3971*g**2 wrt g?\nAnswer: -3*g**2 - 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 149*b + 26*b + 92*b + 3471 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/9, -1\/91985 in descending order.\nAnswer: 2\/9, -1\/91985, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 31*n**2. Let v(w) = 66*w**2 - 110*w**2 + 58*w**2. Calculate l(v(c)).\nAnswer: 6076*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uk when two letters picked without replacement from cku?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -9338909\/55 = -169799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1041 + 3*o**2 + 1041.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 5*w**2 - 3*w. Let q be b(4). Suppose -4*a + 5*n = -a - 86, -2*a + 64 = -5*n. Let r = q + a. Let v(k) = 2*k - 1. What is v(r)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.066 != 43\/64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -33466 less than -278861?\nAnswer: -245395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5*n - 2. Let u(q) = 9*q - 3. Let w(x) = -11*f(x) + 6*u(x). Let r be w(0). Differentiate -2 - 1 + r + 3*t**4 with respect to t.\nAnswer: 12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -2524.\nAnswer: -1\/631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (57\/2)\/((-4)\/(-8)).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10030000 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -11 - (1778 + -1791)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*r**3 - 5250*r**2 - 1378125*r = 0. What is r?\nAnswer: -525, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -a**6\/10 + a**5\/20 + 21*a**2\/2 + 9*a - 149. Let w(s) be the first derivative of i(s). Differentiate w(u) wrt u.\nAnswer: -12*u**3 + 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 740133 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 2*z - 5, 2*z + 5 = 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**4 + 11*h**3 - 7*h**2 - 7*h + 7. Let w(k) = 2*k**4 + 10*k**3 - 6*k**2 - 6*k + 6. Let a(u) = 6*g(u) - 7*w(u). Let a(x) = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -d + 8, -14*d + 5*g + 21 = -11*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26389 - 12932. Let t = -18860029 - -263852101\/14. Let q = u + t. Calculate the common denominator of q and 43\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyyybeipyfyyeyy. What is prob of sequence byf?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 - 66*u + 8*u - 8*u**3 - u**2.\nAnswer: -8*u**3 - 58*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2663\/10 (b) 0.5 (c) -1\/2 (d) 1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-2)\/(-6)*9)*-2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -19*m + 10*m + 11*m. Let r(x) = 6*x**2. Determine r(c(d)).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1112 (base 3) to base 12\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2655*k. Let o(x) = 3*x**2. Calculate o(c(h)).\nAnswer: 21147075*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 214 = 4*c - 0*b, 2*c - 122 = -4*b. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.2227318 minutes to hours.\nAnswer: 0.03704553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - ((-882)\/(-24))\/21*-4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y - 27. Give g(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/34197 and 23\/672541?\nAnswer: 2017623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 517.82483 and 25944?\nAnswer: 25426.17517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 0*p**2 + 0*p**2)*(-3*p**2 + 3*p**2 + 2*p**3) + 9*p**3 - 6898*p**5 + 3414*p**5 + 3411*p**5.\nAnswer: -75*p**5 + 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5452941?\nAnswer: 3, 13, 89, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/6 - 70\/(-4). Calculate the highest common factor of 153 and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -382*n + 54. Let d be j(-27). Suppose -37*v = d - 42188. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*x**4 + 1207*x**2 - 241*x - 60779495 wrt x?\nAnswer: 76*x**3 + 2414*x - 241","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*(((d*d**(-1\/4))\/d)\/d)\/d))\/(d**7*d*d))\/(d**(-1)\/d*d**(-3)*d))**5 assuming d is positive.\nAnswer: d**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 8*q - 3. Let z be i(-7). Suppose -2*f + 2*b = -1940, 0 = z*b + 3 + 9. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 10) to base 4.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -6. Let a = p + -3. Let i(l) = 4*l. What is the remainder when a is divided by i(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**4 - b**4 - 2*b**4 + (-3*b + 5*b + b + (0 - 1 - 1)*(-b + 3*b - 3*b) + 15*b + 25*b - 4*b)*(b**3 + 0*b**3 - 2*b**3).\nAnswer: -42*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50778212?\nAnswer: 2, 1597, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78.324 + 87.35. Let r = c - 9. What is r rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 3, 5, 4 in decreasing order.\nAnswer: 9, 5, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 13\/3, -0.2, 2, 3\/5, -5, -75?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/7 - (-28)\/(-98)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 20 = -4*l - 0, -2*l - 2 = 2*i. Suppose -2*z + 6 - l = 0. Let a(n) = 9*n - 637*n**z + 3 - 3*n + 638*n**2. Give a(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691 is divided by 258.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 2*s + 36, -35*y - 5*s - 18 = -37*y. Suppose -3*n + y = -3. Solve 0 = 48*b - 49*b - n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99.096 + 0.096. Let c = -99.078 - s. Let a = c - -0.07800108. What is a rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4208 a factor of 29458605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 32820*x**2 - 32817*x.\nAnswer: -3*x*(x - 10939)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 4*c**3\/3 - 3*c**2\/2 + 43*c + 73. Differentiate z(u) with respect to u.\nAnswer: 8*u - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -110\/3, 1\/4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 5 - 4 + 1. Suppose 2412*b = -346*b - 11032. Determine j(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 52, 220, 514, 952, 1552, 2332?\n\"Answer: 3*w**3 + 45*w**2 + 12*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-1)*(-679)\/388.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 74217, -3 in increasing order.\nAnswer: -3, 1, 74217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 45507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (-2)\/(-5 - (-39)\/9). Suppose 0 = -3*d + 3*o + 3345, 2*d + 2*o + 13 - 2251 = a. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 38*i - 6 + 16 to the form p*i + d and give p.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3360?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*m + 5 = -133*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-25) - (-5)\/((-25)\/2). Which is smaller: l or 2\/941?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-three halves of a kilogram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**4 - k**3 - 2*k**2 - 1. Let f(t) = 597*t**4 + 11*t**3 + 8*t**2 + 37*t + 10. Let u(p) = f(p) + 10*m(p). What is the third derivative of u(v) wrt v?\nAnswer: 14568*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(153) + sqrt(153)*-1*-5 + (sqrt(153) - ((-3 + sqrt(153) - sqrt(153)) + -5)))**2 + -5.\nAnswer: 2016*sqrt(17) + 45361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 42*l**3. Let a(v) = -28*v**3. Calculate 7*a(f) + 5*b(f).\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 5. Let d(l) = -3*l - 4*l - t + 2*l + 6*l. Let x be d(4). Which is smaller: x or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 9 = 2*g. Let c(h) = 3*h**3 + 2*h**2 + 2*h + 2. Let a(f) = 3*f**3 + 3*f**2 + 3*f + 3. Determine g*c(m) + 2*a(m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -718, -3, 5000 in decreasing order.\nAnswer: 5000, -3, -718","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -424*y**3 - 559682\/5 - 563916\/5*y**2 - 2\/5*y**4 - 224296*y.\nAnswer: -2*(y + 1)**2*(y + 529)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 11) to base 3.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s. Let k(t) be the second derivative of 0 - 9*t + 1\/3*t**3 + 0*t**2. Give k(m(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-10 + 3) - 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5*(-4)\/20)\/(3\/78). Suppose -l = 7*z + 6*z. Let c = 27 + -32. What is the third biggest value in c, -1, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - -1. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3146180 - 20?\nAnswer: -3146210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (80 - 25 - (1 - 7)) + (-10 - (-9 + 7))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*a + 6 - 6)*(2*a - 3*a - a + (-1 - 1 + 1)*(0*a + 4*a - 2*a)) + (-4 + 2*a + 3 + 3)*(-5*a + 4*a - 35*a) to j*a + c*a**2 + f and give j.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/7 - 234*l**2\/7 + 2190*l\/7 - 5350\/7.\nAnswer: 2*(l - 107)*(l - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(168147\/(-24178) - 14\/(-4)*2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**3 + 2*c**3 + c**3)*(7*c - 14*c - 1 + 8*c) to m*c + r + d*c**4 + i*c**2 + h*c**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -8*s + 5. Let k be c(-6). Suppose 0 = 4*m - 3*w - k, 4*m = 3*m - 2*w + 5. What is the highest common divisor of 77 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -42*n + 1255. Calculate w(30).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-35)\/j)\/j**(-7)*j**(-1\/45)\/(j*j**(1\/12)) assuming j is positive.\nAnswer: j**(-5419\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 + 3b?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 8599.11 to the nearest ten.\nAnswer: 8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 8*f. Let l(c) = -c + 32241. Give l(o(p)).\nAnswer: -8*p + 32241","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-210)*-14)\/(14\/(-5))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1047651387.\nAnswer: 3, 349217129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -662660?\nAnswer: -662660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2345671, -9382676, -21111021, -37530706, -58641731, -84444096, -114937801?\nAnswer: -150122846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -24, -1\/19, 2\/5, -2\/7?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of 0 + 3\/2*g**3 + 7\/24*g**4 + 0*g - 8*g**2 + 1\/60*g**5. Let m be p(-5). Which is the closest to 1? (a) 4 (b) -0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2*(j*j**(2\/5))\/j)**(-40) assuming j is positive.\nAnswer: j**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5069146?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 26 - (32 + -8 + -15) - -19\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 37295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((1\/1*2)\/1)\/(-4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-25)\/(-6) - 8\/48. What is the units digit of 1*(v - (3 + 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -891100 to the nearest ten thousand.\nAnswer: -890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 7*s**2 - 15*s + 25. Determine o(-8).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 944 divide 1069535613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 11:00 AM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415*z + 1061 = -184 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 - 12*y**3 - 2*y**2 - 17*y**3.\nAnswer: -29*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(1008))*-2 + (2 + sqrt(1008) + 3 - sqrt(1008)))**2*5 + -3)*4.\nAnswer: -6720*sqrt(7) + 81608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24 + -559a?\nAnswer: -5613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2602.\nAnswer: 2, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 686892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -2 - -10479*(-2)\/(-10). Let p = s + -2081. Do p and 14 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 5:30 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*c + 15 = -11, 0 = -2*f + 2*c + 34. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**2\/2 + 2. Let p = -962 + 964. Let n(u) = -1 - 1 + 386*u**2 - 189*u**p - 192*u**2. Calculate r(n(l)).\nAnswer: 5*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-76)\/(-6) + (0 - (-2)\/(-3)). Suppose k - 25 = -5*h - 0*k, 2*h - 4*k = -w. Solve -3*i + g - 2 = 2, h = g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4055 = -4*k, -2*k - 2*k = -4*v - 4064. What are the prime factors of k?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**2)*g*g**6)\/((g*g**6)\/g*g**(3\/4))*(((g\/g**(-2\/7))\/g)\/g*g*((((g*g**8)\/g)\/g*g)\/g)\/g*g)\/(g**(-2\/7)\/(g*(g*g**0)\/g*g)) assuming g is positive.\nAnswer: g**(331\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 0 - 4 - (25 + (-4 - -8)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36974811 times 8\nAnswer: 295798488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 39869964 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-13)*31*(-3)\/(-6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c**2 + 42*c - 3. Let i(r) = 15*r**2 + 126*r - 8. Calculate -3*i(j) + 8*u(j).\nAnswer: -5*j**2 - 42*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 + 398\/11. What is the closest to -1 in w, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 632 divide 632442325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417573 is divided by 762?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1449 and 1449?\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7539031\/423 + 71291\/4. What is the common denominator of x and -67\/1880?\nAnswer: 16920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 127 and -4.\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 k, and 1 f when three letters picked without replacement from {e: 4, a: 5, f: 1, k: 4, w: 1}?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - r + 12. Let o be v(0). Let c(x) = -o + 12 + x**2. Suppose -1 = 2*z + 11. Let y(n) = -n**3 - 6*n**2. What is z*c(i) - y(i)?\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1602384595.\nAnswer: 5, 7, 45782417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - i = 2 + 5, 5*i + 24 = 4*w. Suppose 4*a - w + 3 = 0. Find the first derivative of -f**3 - 2*f**2 + 0*f**a + 4 + 2*f**2 wrt f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7913b8 (base 14) in base 8?\nAnswer: -17543126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 529 and 101890.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5*i**4 - 645*i**3 + 2525*i**2 - 3135*i + 1250 = 0.\nAnswer: 1, 2, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.16? (a) -1\/4 (b) -1 (c) 0.048 (d) -52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-6 - -3 - (-17 + 17))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/159840 and 19\/30?\nAnswer: 159840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -3, 1278, -1236 in increasing order.\nAnswer: -1236, -16, -3, 1278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 718 times -4\nAnswer: -2872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -44 + 39. Calculate the remainder when ((-3600)\/(-44) - g) + 4\/22 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + v**2 + 5*v - 6. Let q(x) = x**3 - x**2 - 2*x + 3. Determine 5*q(m) + 2*y(m).\nAnswer: 3*m**3 - 3*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 48244, 192980, 434206, 771922, 1206128?\n\"Answer: 48245*v**2 + v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*n**2 + 0*n + 6*n + 58*n**2 - 4*n in the form g*n + s + z*n**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - 10*l - 8. Let x be d(-7). Suppose -9 = 3*b - 0*b + 5*m, -5*b + m = -x. Calculate the least common multiple of b and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 5. Let o(a) = a + 5. Let g(t) = 5*o(t) + 6*r(t). Let k = 27 - 23. Let q(c) = 0*c + c + k + 0*c + 0. Determine 4*g(u) + 5*q(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/6 + 419\/2. Suppose k - l = -4*k. Suppose 5*t = 2*y + k, -2*t + y = -3*y - 4. What is the remainder when 19 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -473 - -479. Let w(k) = -15*k + 1. Calculate the lowest common multiple of w(-1) and a.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*v + 13*v + 65. Let w(t) = 17*t**2 - 41*t**2 + v*t**2. Let s(y) = 3*y. Determine s(w(a)).\nAnswer: -33*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3*w - 15 = -0*b, 5*b = w + 5. Suppose -10*x + 3665 - 1175 = b. List the prime factors of x.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -345*c. Let l(h) = h**2 + 307935*h - 3. Calculate w(l(t)).\nAnswer: -345*t**2 - 106237575*t + 1035","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fphm when four letters picked without replacement from hhfmphmhf.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 87353945\nAnswer: -8735394.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(4*i - i - 2*i)*((3 - 4 - 1)*(1318 - 858 + 1525 + 0 - 4 + 3 + (-3 - 1 + 5)*(1 + 2 - 5)) - 1 + 4 - 1).\nAnswer: 7924*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/110)\/(70\/(-75))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -312532475*o**3 - 359768050*o**2?\nAnswer: -1875194850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5672 - -5671.95. Let w be 2 + (-1)\/(-3)*-4. Which is the nearest to w? (a) t (b) 3\/2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, 8, 4, 543, 0, -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 0*i + 3*i = -21, -5*i - 40 = 5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9228444 is divided by 2307109?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 412835 + 3*b + 2*b - 13*b**4 - 412833 as d*b**4 + a*b**3 + s + f*b + j*b**2 and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 948*n + 555*n - 1 - 1125*n - 1426*n**2 wrt n.\nAnswer: -2852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-30))\/((-453)\/(-1510)). Put 4, -3\/7, -558, -0.1, d in decreasing order.\nAnswer: 4, d, -0.1, -3\/7, -558","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 26*r - 45. Is z(-21) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -2944980?\nAnswer: 1\/736245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 2. Let z = 4 - 4.1. What is the closest to w in 1\/2, 2\/19, z?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 19*x - 171 - 234. What is the highest common factor of 189 and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 823266137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2. Let u(p) = 3*p**3 - 19*p**2 - 7*p - 1. Suppose -6*n + 28 = -2*n. Let b be u(n). Let d(z) = 54*z + b*z - 93*z. Give i(d(r)).\nAnswer: 162*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(171)\/sqrt(3)*-3)\/sqrt(3) + -1)*1)**2*-3.\nAnswer: -1548 - 54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 20 = 5*x, 45 = 3*x + 30 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3249 = -3*t, 19 = 3*c + 28. Calculate the remainder when t is divided by 156.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6 and 11216.\nAnswer: 11216.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8343817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 218271, 218260, 218235, 218190, 218119, 218016?\nAnswer: 217875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srvvvvavasv. What is prob of sequence sv?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**2 - 2*c**2 + 7*c**2 + (2*c + 2*c - c)*(-c + 4*c + 0*c) + 4*c - 4*c + 3*c**2.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 32716 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -j**2*t - j**2*x**3 - 49*j*x**2 - 122423*t*x**3 - 114 wrt t?\nAnswer: -j**2 - 122423*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 242043376 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8705943 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2078749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 288331 and 6198016?\nAnswer: 2201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -5, -0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 36.8646 and 5?\nAnswer: 184.323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 23*o + 28. Let r be x(22). Let w be (-9)\/r*(-36)\/6. Let s(d) = d**2 + 13. What is the units digit of s(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c4aeb8 (base 16) in base 12?\nAnswer: 4397448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1488947549 to the power of 1\/2, to the nearest integer?\nAnswer: 38587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*q**4 + 125*q**4 - 14*q**4 + 97*q**4 - 81*q - 5 - 2*q**2 wrt q.\nAnswer: 2256*q**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 806151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/((-3)\/((-1)\/(-2)*2)). What is the derivative of 46*s**r - 23*s + 19*s + 55 + 4*s wrt s?\nAnswer: 138*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 119 + -110. Calculate the remainder when 137 is divided by ((-225)\/(-20))\/f*28.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 377*g + 142*g**3 - 281*g**3 + 138*g**3.\nAnswer: -g**3 + 377*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 111 + 1?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*d**2 + 13*d**2 + 13*d**2 + 15*d**2.\nAnswer: 20*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 10*k**2 - 12*k + 1. Let h be v(9). Let n = -14 - h. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -639 - -645. Suppose 10*g + w - 35 = k*g, -g + 5 = w. What is the third biggest value in -1\/5, -3, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-14))\/((-91)\/3822)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -21*p + 25*p, -4*r = -5*p + r. Sort p, -3, 2, 4 in descending order.\nAnswer: 4, 2, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -13\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h + 25. Let t be w(12). Let l = -14\/25 - -24\/25. Which is the third smallest value? (a) t (b) l (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6307310.7 to the nearest one thousand.\nAnswer: -6307000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g + 0*g - 2 + 3*g - 2 + 2 + 3*g + (g + 4*g - 3*g)*(2 - 5 + 5) - g - 5 + 5.\nAnswer: 5*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(-2\/7) assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**32*y\/(y**(-11)\/y)*y*(y\/y**(-24))\/y**(-3\/8))**(1\/12) assuming y is positive.\nAnswer: y**(571\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + 10\/(-4))*2. Solve q = -9 + r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 7 - 2*o - 3*o - o - o**2. Let u = -15 - -9. List the prime factors of m(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-15)*303\/202*-30.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 7*y - 14. Let b be r(6). Suppose 0 = 3*q + k + b, -2*q + k = 2*k + 18. Let h(d) = d**2 + 9*d - 11. What is h(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cyyycyyczcy. What is prob of picking 4 c?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -141*d**2 + 5*d + 10*d**2 + 104*d**2 to z + a*d + c*d**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 14. Is 5 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46507 and 153.\nAnswer: 7115571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11168947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v. Let s(u) = 361*u - 33. What is s(t(a))?\nAnswer: 722*a - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*y - 11 = 0, 4*l = 4*y + 67 + 41. What is the least common multiple of -5 + 8 + -2 + l and ((-81)\/(-12))\/((-1)\/(-4))?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -4*k**4\/7 + 30*k**3\/7 - 48*k**2\/7 - 32*k\/7 = 0.\nAnswer: -1\/2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 + 7*k**2 - 3*k - 14. Let t(x) = x**3 + 4*x**2 - 2*x - 7. Let o(g) = -4*p(g) + 9*t(g). Calculate the remainder when o(-8) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 173\/(-13321)*(-88)\/32\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 4. Let n = -53 + 95. Suppose -5*v = 2*y - 44, 5*v - v + 5*y - n = 0. Suppose u = x + v, x - 4*x - 12 = 0. What is z(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, b: 2, j: 4, r: 1, v: 2, m: 4}. What is prob of picking 1 v, 1 k, and 1 m?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -56*j - 836. Give v(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*b - 43*b - 178830. Let m = b + 4930. What is m rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21190051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -118.273 rounded to the nearest integer?\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2)*t)**37*((t**4\/t*t*t*t)\/t*t)\/(t**2\/t))\/((t**(-1))**(-50)*(t**(-4)\/t)\/t**(1\/4)) assuming t is positive.\nAnswer: t**(-307\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 + 4*h + 8. What is r(5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 10:44 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 586339 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 60 = 4*g. Let j be -1 + -1 - ((2 - 4) + -4). Suppose g = j*h + 6. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(448) - sqrt(448)*1)*-2 + -4 + (sqrt(448) - (0 + sqrt(448))) + sqrt(448) + -2 + -1*sqrt(448) + -5) + -4.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 5*g + 3*g)*(-g + g + g + (0 + 2 + 0)*(-2*g + 4*g - g) - 2*g + 5*g + 0*g) + (0*g + 3*g - g)*(51*g - 284 + 284).\nAnswer: 96*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1*-1)\/(6*(-3)\/(-72))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1987.\nAnswer: 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -135?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 624? (a) -17 (b) 0.1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.1. Let j = 158 - 317\/2. What is the third smallest value in j, d, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*l + 2*l - 3*l)*(-4 - 2 + 5) - 2 + 3*l - 5*l + 0*l to z + v*l and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2 - 113*g + 212*g + 15*g**2 - 104*g + 488*g**2. What is the units digit of u(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1310 + -932. Suppose -2*v + 5*c + 736 = 2*v, -5*c - u = -2*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1025*d - 604*d - 1470*d - 71*d - 898*d as n*d + f and give n.\nAnswer: -4068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2588499 (b) 5 (c) -0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5*s**2 - 536*s + 2165. Let x be w(103). Factor 2 + 3\/2*a**3 - 7\/2*a**x + 0*a.\nAnswer: (a - 2)*(a - 1)*(3*a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 9:49 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391*u**2 - 4 + 127*u**2 + 4 + 144*u**2 + 133*u**2.\nAnswer: 13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*w + c = -33*w, 4*w - 2*c = -3*c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.2, 0.015, 0.1, -2\/141?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -5*r + 5*f + 24, -10 = -2*r + 2*f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 974674288 and 5488.\nAnswer: 5488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g + 1 - g - 13*g - 1.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6431 = -3914413*j + 3914522*j for j.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 1:43 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85 - -87.45. Let z = x + -25.85. Let y = 0.3 - z. Round y to 0 dps.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20 and 93435340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37035*-1269.\nAnswer: -46997415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*3\/3)\/((-40)\/4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnubbgwuj. Give prob of picking 1 g and 1 w.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**5\/10 - 3*i**4\/8 + 4*i**3\/3 + 13*i**2. Calculate the remainder when 87 is divided by t(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303351727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 509966 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: Let c(m) = 1002*m - 23056. Calculate c(23).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -688, -704, -724, -742, -752, -748, -724, -674?\n\"Answer: u**3 - 8*u**2 + u - 682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-9) + 58682\/(-121329)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, -15\/32, 2\/23, 4, 525, 1\/6?\nAnswer: -15\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 9. Let c be w(-7). Let t(k) = 5*k. Let v be t(c). Suppose -4*s - v + 39 = y, 0 = -2*y + 10. Calculate the remainder when 17 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(4\/11)*a*a*a*a*a*a\/(a\/(a*a**17)) assuming a is positive.\nAnswer: a**(257\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**5\/150 + 23*p**4\/15 - 91*p**3\/15 - 451*p**2. Factor s(o).\nAnswer: -2*(o - 91)*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2021013301 (base 4) to base 6.\nAnswer: 20012121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65263*i**2 + 35284*i**2 - 172*i**2 - 78619*i**2.\nAnswer: -108770*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/(-420) + 626\/70. Suppose 12 = u - 4*u, 2*a = 3*u + 16. Solve -5*g = -a*g + z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 7*h**2 - 14*h + 35. Let j be p(3). Suppose 60*i = j*i - 12. Sort 7, -4, -1, i in decreasing order.\nAnswer: 7, -1, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 162 = 3*f. Let p = -24 - f. Suppose -282 = -5*z - p*u, -4*u + 0 - 4 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y - 3. Let f(g) = g. Let k(l) = 5*f(l) + j(l). Let v be k(6). Let m be (5\/(-3))\/(3\/v). Let i(n) = n**2 + 7*n + 4. What is i(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18194880 and 1408.\nAnswer: 36389760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-six fifths of a millennium?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.453103602+0.6\nAnswer: 0.146896398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -762 * -0.03\nAnswer: 22.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k. Let j(o) = 180*o**2 + 12*o + 8. Let p(v) = 11339*v**2 + 759*v + 506. Let h(d) = 253*j(d) - 4*p(d). Determine h(a(t)).\nAnswer: 184*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -802 = -119*i + 18*i - 95. Solve 67 = i*s + 32 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -63635*c - 15. Let v be x(11). What is v rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 14*f**3\/3 + 5*f**2\/2 + 2*f. Is p(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5, 9*a + 18 = 8*a + 3*m. Let p(f) = -10*f**2 - 3. Let l(s) = -21*s**2 - 7. What is a*l(w) + 7*p(w)?\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1029330.\nAnswer: -2\/514665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1\/3))**5\/(f**(3\/4)*f\/f**2) assuming f is positive.\nAnswer: f**(83\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghcv when four letters picked without replacement from {g: 1, v: 1, s: 5, q: 3, h: 5, c: 3}?\nAnswer: 1\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -154.\nAnswer: 15.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3 = -17, 0 = -o - 2*i + 7. Let g = o - 15. Let v = 1 + g. Let x(t) = -11*t**2 + 2*t - 1. Give x(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one twentieth of a minute?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 214566 and 500654.\nAnswer: 1501962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 182 + 158 + 4 - a**2 + 2*a**2 to u*a**2 + g + v*a and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/1751 + -44031\/224128. Calculate the common denominator of 107\/20 and p.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.8 + 3.8. Let a = -12.7 - y. Let r be 1\/(-3) - (-6)\/9. Sort a, 2, r in descending order.\nAnswer: 2, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 3 (b) 2\/125 (c) 1 (d) -2\/11 (e) 13\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 6*x - 299*x**3 - 6*x**2 + 303*x**3. Let j(t) = -3*t**3 + 5*t**2 + 6*t. Give -6*j(c) - 5*s(c).\nAnswer: -2*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.16039034 rounded to 1 decimal place?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3353215.\nAnswer: 5, 19, 47, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32126 - -32163.139. Let s = 0.81 + -0.671. Let u = m - s. Sort -1\/3, 5, u in ascending order.\nAnswer: -1\/3, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8703, -8699, -8717, -8769, -8867, -9023, -9249, -9557?\n\"Answer: -2*k**3 + k**2 + 15*k - 8717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 129*v**2 - 611*v - 45. Give p(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-25) + (-8)\/5. Let r(i) = -i**2 - 7*i - 3. Let c be r(-5). Find the common denominator of (-1)\/w*(-118)\/c and 8\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 55 = g. Let d = g - -15. Let t = d + 3. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - -5*(sqrt(152) + sqrt(152)*1) - sqrt(152)) + sqrt(152) + sqrt(152) + sqrt(152)*2*-4)\/((sqrt(8) + -2*sqrt(800))*2).\nAnswer: -2*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/7 (b) 25 (c) 1 (d) 6 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 1\/(-3)*0. Suppose 4*y - 14 = -z. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 876\/47 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 9*a - 4. Let s be q(-8). Let g(v) = -1 + 2 - 2 + s. Let w(x) = x + 1. Give -g(m) + w(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2322333012 (base 4) to base 7.\nAnswer: -6336633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34423616671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 7. Let j(d) = -2 + q*d**2 - 2*d**2 + 2. Is j(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - -21. Calculate the remainder when v is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.19910385 rounded to one decimal place?\nAnswer: -11.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 9 = 3*g - 21, 0 = -5*t + 3*g - 6. Solve 4*d = 4*u + 12, -3*u - d = t*d - 19 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7.104783 micrometers?\nAnswer: 0.000000007104783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 600*m**2 - 3033*m. Determine z(5).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(7\/5)\/u*u*u*u*u*u**(-1\/5)\/u)\/((u\/(((u*u**1)\/u*u)\/u))\/(u*((u\/(u**0*u*u*u*u))\/u)\/u)))**4 assuming u is positive.\nAnswer: u**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22374?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -392 at least as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7741 - -7740.9996291. Round u to five decimal places.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-4) + (-14)\/(-8). Let h(t) = -4*t + 26. Suppose 5*z + 45 + 40 = 0. Let s(y) = -y + 9. Let r(u) = z*s(u) + 6*h(u). Give r(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 12:48 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -379, -1\/304?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5844 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o + 12 = 5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-1)))\/u**(-8\/3)*u**1\/u*u**(4\/5)\/u*u)**(-18\/5) assuming u is positive.\nAnswer: u**(-402\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48*u + u**2 - 23*u**3 - 48*u - 11*u**2 wrt u?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1025153 is divided by 224.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = 4*f - 15. Let u = f - -39. Solve -2*a + 4 = -4*a, -u*m = 3*a + 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 6 = -5*g, 4*i - 8 = -5*g + 6*i. Suppose -2*p = g*t - 222, 2*p + 6*t = 8*t + 234. What is the least common multiple of p and 7?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*j*p - 9*j - 14*p - 2 wrt p.\nAnswer: -4*j - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-21) - (3 - (-24)\/(-7)). Put -2, r, 0.06, 2 in ascending order.\nAnswer: -2, 0.06, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11885?\nAnswer: 5, 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5*b - 109. Let n be r(-23). Suppose 0 = -n*k + 12*k - 72. Do -3 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-192))\/(((-6)\/(-56))\/((-3087)\/2401))?\nAnswer: 15\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -641863, -641958, -642063, -642184, -642327, -642498, -642703?\n\"Answer: -l**3 + l**2 - 91*l - 641772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 a factor of 65755452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 186, 356, 516, 666, 806, 936, 1056?\nAnswer: 1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10034 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 29, 1, -2, 5, 3 in increasing order.\nAnswer: -10, -2, 1, 3, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -55? (a) 82 (b) -4725 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 896.8119 millilitres to litres.\nAnswer: 0.8968119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38\/25 - -1\/50. Let v = 225 + -893\/4. Let x = w + v. Which is smaller: x or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**7\/6 - 19*d**6\/24 + 13*d**5\/12 + 95*d**4\/24 - 5*d**3 + 145*d**2 + 2*d + 1. Suppose t(l) = 0. What is l?\nAnswer: -3, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 158 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 8. Let r be ((-1)\/(-2))\/(1\/(-8)). What is the nearest to -0.2 in r, n, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3078 - 3078.9161. Round n to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7*a\/a**(-11))**(-31\/4)*((a\/(a*a**2)*a)**24)**(-10) assuming a is positive.\nAnswer: a**(371\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**2 - 62. Let q(r) = r**2 - 1. Let k(c) = n(c) + 3*q(c). Let m(b) be the first derivative of k(b). Let y(f) = 95*f**2. What is m(y(d))?\nAnswer: 190*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from {c: 2, z: 4, t: 8}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 9*y**2 - 3. Give z(8).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.94 + 0.164. Let v = f - 0.104. Let b = 3\/7 + -1\/35. Sort v, -2, b, -1\/4 in ascending order.\nAnswer: -2, -1\/4, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*r - 14*r - 8*r**4 + (-4 + 0 + 3)*(-2*r**4 - 2*r**4 + 6*r**4) - r**4 + 2*r**4 + 3*r**4 in the form l*r**3 + y + o*r**2 + f*r + a*r**4 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence diiv when four letters picked without replacement from dddidiffvfxdxf.\nAnswer: 5\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 2*n - 2*n)*(-1 + 0 + 0) - 2*n + 2*n - 5*n - 4*n + n + 2*n - 6 - 67*n + 4 + 45*n.\nAnswer: -29*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/5 + 4392*l**2\/5 - 17748*l + 89040.\nAnswer: 3*(l - 10)**2*(l + 1484)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-3) + (9 - (6 + 7))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/8))**(-36)*(u*u**(11\/3))\/u**(-4\/3) assuming u is positive.\nAnswer: u**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*2*-3)\/sqrt(6).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 56, 90, 138, 200, 276, 366?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.68 - 0.68. Let i = n + 0. Which is the closest to -17? (a) 5 (b) i (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3572 * -0.5\nAnswer: 1786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v - 1. Let h(f) = -6*f - 25. Calculate h(w) - 5*x(w).\nAnswer: -w - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 4*s + 72. Let b = 206 + -44. Calculate the highest common factor of s and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 2:04 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 15*r + 2. Suppose -496 - 184 = -170*z. Let n(j) = 16*j + 3. What is z*n(m) - 5*b(m)?\nAnswer: -11*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2220 - 1020?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -387 + -b?\nAnswer: -393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 - 2*g**2 + 4*g**2)*(6*g**2 - g**2 + g**2)*(3 + 2 - 3).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36*0.0090261.\nAnswer: -0.3249396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17990983*t = -17991069*t + 9460 for t.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30664792, 122659159, 275983104, 490636627?\nAnswer: 766619728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7874603 or 281\/2?\nAnswer: 2\/7874603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20730268 = 52*m + 6*m - 19603338. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37818 is divided by 18729?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7*k - 43 = 3*h, k - 3*h - 11 = 0. Calculate the common denominator of (-3 + 14\/k)*-11 and -34\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -9574*m - 603121. Give z(-63).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3526, 7029, 10532, 14035, 17538?\nAnswer: 21041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*c**3 + c**3 - 4*c**3)*(-46 - 7 + 13)*(0 + 0 + 2*c).\nAnswer: -480*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 0 + 2*i**2)*(11*i - 11*i - 9*i**2) + i - i - i**4)*(2 + 3 - 7) to the form j*i**2 + b*i + q + w*i**3 + s*i**4 and give s.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97372 is divided by 48630.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-seven halves of a meter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 739*s + 745*s + 516*s - 1594*s in the form u*s + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*8\/(-8)*(3 + -2). Solve -5*v = f - 4*f - 13, 2*v - 1 = -g*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 201 + -193. Let g(c) = -c**2 + 4. Suppose -8*i + 10*i + 4 = 0. Let q be g(i). Solve -2*n + 0*n + f = q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, -0.02, -2.19 in decreasing order.\nAnswer: -0.02, -2.19, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q - 8. Let o be f(8). Suppose -p = -o*p - 2. Solve 0 = -4*u - 10 - p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24811251 to the nearest integer?\nAnswer: 4981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -57*w + 71 + 1 = -441 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14665939 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = v. Let b = 54 - 46. Let i(f) = f**3 - 7*f**2 - 7*f - 4. Let m be i(b). Solve -v*x + m = -0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1328 - 520 = 2*h + 390*q - 1130, 9*h + 24 = 12*h - 5*q + 67 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6\/(((((x*(x**(-27)*x)\/x)\/x*x)\/x)\/x)\/x) assuming x is positive.\nAnswer: x**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16248546 and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45693, 70230, 94767, 119304, 143841, 168378?\nAnswer: 192915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3290 * 4.\nAnswer: 13160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014764 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -819*k + 203*k - 18837 = 833*k for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600 = -n - 3*l - 615, -61 = 5*n + l for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 3, -39775285.\nAnswer: -39775285, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + sqrt(847) + 2 + (1*sqrt(847) + -1 + sqrt(847) - sqrt(847)) + sqrt(847) + (1*(-3 + sqrt(847) - sqrt(847))*1)**2 + -2).\nAnswer: 30 + 99*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l + 3 - 3)*(1 + 2*l - 1) - 5*l - 2*l - 3*l**2 + l to the form d*l + c + r*l**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 107, 101, 81, 41, -25?\n\"Answer: -q**3 - q**2 + 4*q + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6598790321 to the nearest integer?\nAnswer: 1876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 9*s**2 + 26*s - 17. Let g be c(-12). Let j = 744 - g. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = 4*u - 42. Does 13 divide (6*(-1)\/2)\/((-1)\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*x - 10408 + 24528 = -823*x - 13936 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2*sqrt(363)*-5)**2 + (-1*(4 + (sqrt(363) + 1 + sqrt(363) - sqrt(363))))**2.\nAnswer: 110*sqrt(3) + 36688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52954917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.757 to two dps.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 d, and 1 f when three letters picked without replacement from tfpnd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) -23 (c) 0 (d) -0.3 (e) 0.4 (f) 37 (g) -16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - k. Let q(w) = -6*w**3 - 5*w**2 + 3*w. Let r(b) = -6*g(b) - 2*q(b). Find the third derivative of r(t) wrt t.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40251761 to the power of 1\/3, to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*o + 1545, 6*y = 5*y + 4*o + 309. Solve 8*f - y = -317 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-4)\/80*-4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 9:48 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**3 - 2*t**2 + t + 10. Let s be (-12)\/6 + (-2 - -1). Let m be k(s). Let j = 56 + m. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 56404078 in decreasing order.\nAnswer: 56404078, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 69806405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.43 and -2.23036.\nAnswer: -4.66036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -181\/4 + 45. Let i = -1 + -3. Which is the smallest value? (a) i (b) 2\/3 (c) -5 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 334308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907933721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 0)*16*-1. Let u = 106 + -58. What is the greatest common factor of k and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4751926721441676.0000142 + 4751927169060502. Let a = 447618742 - l. Let q = 84 + a. What is q rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1147 = 95*d - 102 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -161, -276, -437, -644, -897?\nAnswer: -1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 0.2 (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 4215.266ns?\nAnswer: 4.215266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -1247*o**6\/40 - 437*o**4\/4 + 2*o**2 + 70. What is the second derivative of i(g) wrt g?\nAnswer: -22446*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -6. Suppose 0 = 2*c + u - 9, a*c + 5*u = -0*u + 13. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l**2 + 103*l + 949. Give c(-10).\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 642984343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 8*c + 2. Suppose 0*l = -l - 18. Let r be (-8 - -1)*(-17 - l). Let t(d) = 9*d + 2. Give r*a(b) + 6*t(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 5, 28, -4, 8 in ascending order.\nAnswer: -4, 5, 8, 28, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.5, -0.1, -0.05, 1\/126?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -219, -5, 1, -4, 6, -7 in descending order.\nAnswer: 6, 1, -1, -4, -5, -7, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 143148510*f*l + 75411221*f wrt l?\nAnswer: 143148510*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/42 + (-15264)\/(-84). Does 7 divide (5 - (91\/2)\/13)*x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, b: 1, w: 6, m: 2, j: 2}. Give prob of sequence ob.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1110459 by 3.\nAnswer: -370153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 5*o**2 - 5*o**2 - 7 + o**2. Let b be h(-4). Solve -v + 18 = 5*q - 1, b*v = -2*q + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93.97 + -96. Let n = -1.9 - -1.93. Let d = n + k. Is -0.1 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*i - 93*i + 182 = 0. Let t = i - -98. Suppose -421 = -t*w + 258. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 8:20 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3806*h - 138 + 138 - 13240*h to i + n*h and give n.\nAnswer: -17046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1947 is divided by 312.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (1 + 0)) + (97 - (-66 - -162)) + -79.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*j = -198. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.25364 - -0.04636. Let w = -2 - 3. Let q = 2.03 + -0.03. What is the second biggest value in q, w, 3\/2, u?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than 6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 433198 and 9018?\nAnswer: 11696346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 41 = -16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2*(sqrt(68) + 1 + -1 + sqrt(68) + sqrt(68) - sqrt(68)))**2 + 3 + -4)*5.\nAnswer: 5430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + 5 - (-2 - (-60 - -8)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 710702406 to the nearest integer?\nAnswer: 26659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ypppppppyapypaappay. What is prob of sequence ayy?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96*s + 1277*s + 461*s)*(-s**3 + 0*s**3 + 2*s**3) - s**4 - 3*s**4 + 3*s**4.\nAnswer: 1641*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -156883 divided by 5?\nAnswer: -156883\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (1 - 5)) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 8*m - 6. Let v be 2 - 11\/(1 - 0). Let r be u(v). Suppose 0*h + 5*p + 55 = 2*h, -h + r*p = -30. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 24 = -8*p + 7*p, -3*p + 56 = 5*o. Suppose -10*w + 38 = -p. Solve 1 = -n - 3*c, w*n = -3*c - 18 + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.73408 to 1 dp.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -52, -0.06?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221133210 (base 4) to base 10.\nAnswer: -169956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 0*b - 2*b + b. Let d be o(0). Suppose d = -g - 3*z + 16, 4*z + 1 = 3*g + 5. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k. Let u be 1935\/10 + 3*(-1)\/(-6). Let n(f) = 98 + 96 - 22*f - u. Calculate n(j(b)).\nAnswer: 66*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, -1\/4, -0.1, 0.4 in descending order.\nAnswer: 33, 0.4, -0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*v + 74 = 0, v = -5*i - 10 + 85. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (25\/(-5) - -7) + ((-64777)\/(-1) - 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9234\/11 - 840. What is the nearest to -1 in 1\/4, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -m - 4*j + 33, -4*j = -5*m - 55 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*h**3 + 2915*h**2 - 2915*h**2.\nAnswer: 15*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*y - n + 20821, 0 = -2*y - n + 10411. Suppose 4*r - 4967 = y. Is r\/4 + (-36)\/48 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y, -52 = t - 3*t + y. Let n = 0 - -3. Let l(v) = -t + 26 - n*v**2. Let x(f) = -2*f**2. Calculate x(l(j)).\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 5:38 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/h**(4\/5)*h))\/h)**(3\/4)*(h*h**8)\/h*h\/(h\/(h*h**(-5))) assuming h is positive.\nAnswer: h**(47\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 15*l**2 + 0*l - 6*l**2 - l + 6*l + l**3 - 10. Let f(x) = x**2 + 5*x - 92. Suppose -91 + 252 = 23*k. Let t be f(k). Determine r(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2541.004596 - 2541. Let v = f - 0.154657. Let q = -0.15 - v. Round q to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*k**2 + 18*k**2 + 5*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16339070 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 - 0.09. Let r = d + -0.94. Let x = 5.4 - 5. What is the closest to r in 2\/9, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 125236 = 108779. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10545559.\nAnswer: 17, 71, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3744*1.9.\nAnswer: -7113.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2*4\/16)\/(1\/(-1642)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107340239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -17, -18, -19, -20, -21?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 654 + 9986*g - 1311 + 657.\nAnswer: 9986*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 9, 0*b + 4*b - 13 = -n. Solve s + 0*s - s - b*s**2 - 4*s = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from vypvhsj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i - 4*i - 25*i.\nAnswer: -32*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by 82?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 22551*p**2. Let d(u) = -115781*u - 115782*u + 231565*u. Determine d(a(f)).\nAnswer: 45102*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 78*w**2 + 594*w - 95. Determine k(-85).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -21a255?\nAnswer: 21a251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 350*p**3 - 579*p**3 + 371*p**3 - 2*p**2 + 2*p**2.\nAnswer: 142*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, m: 4}. What is prob of sequence mam?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8378 + -8377.9. Is 4037 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 6:02 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 10*o**3 - 9*o**2 + 11*o - 21. Let x(r) = -6*r**3 + 5*r**2 - 6*r + 12. What is -4*q(t) - 7*x(t)?\nAnswer: 2*t**3 + t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 + l**2 + l + 5. Let r be x(0). Suppose j + 106 = -2*p, -247 - 238 = r*j - 5*p. Let y = j + 177. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 140? (a) -1 (b) 0.4 (c) 3\/7 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66723 + 66723 - 6*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1279301 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -20*b + 22*b. Suppose 2*y - b*x - 62 = 0, -4*x - 136 = -4*y - 3*x. Calculate the remainder when 143 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13331 - -3114?\nAnswer: 22000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*f - 166 + 36 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 2*v + 85*v - 88*v + 16 + v**2. Determine t(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -113*i + 128*i + 30 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-3*n + 2*n + 0*n) + (1 - 2*n - 1)*(-3 + 3 + 2) - 4*n + 3*n + 2*n + (-2 - 21 - 31)*(2*n - n - 2*n).\nAnswer: 53*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (49 + -35)) + (1 - 22)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n = 5*d - 190, n - 137 = -4*d. What is the smallest common multiple of 30 and d?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -a - 4*g + 22, 3*g + 94 = 5*a. Let c(t) = -13*t**3 - 1. Let i be c(-1). Let f be 3\/i - (-55)\/4. Solve 5*x - 3*o = -f, 3*o = 5*x - o + a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + (5 + -5 + 1 + sqrt(7) - (3 + 1*sqrt(7) + sqrt(7) - (-1 + sqrt(252))))**2.\nAnswer: -30*sqrt(7) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.27 - 0.07. Let q = -0.1 - n. Let w = 0.2 + q. What is the nearest to -1\/4 in -1, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h - 20. Suppose 4*t - 5*b + 41 = 0, 3*t - 2*t + 5 = -4*b. What is o(t)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -5*l**3 + 1540*l**2 + 133655*l - 3827890 = 0.\nAnswer: -89, 23, 374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*z - 15*z + 4*b + 2615, 3*z - 1591 = -2*b. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 26*v - 1552. Calculate d(60).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -42. Suppose -21 + 33 = 12*u. Put 0.1, u, n in decreasing order.\nAnswer: u, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**3 - 754*l**2 - l**3 - 2*l**3 + 0*l**3.\nAnswer: -l**3 - 754*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/31 (b) 1\/2 (c) 2\/9 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 != -8\/105233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20064 and 5832.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5*d**4\/3 + 46*d**3\/3 + 107*d**2\/3 + 56*d\/3 = 0.\nAnswer: -1, 0, 56\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 22*f + 715. Calculate i(-33).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2405048*-0.1\nAnswer: 240504.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3*475\/(-30)*-17*(-130)\/(-1105)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 8*l**2 + 9*l + 3. Suppose -26 = 3*a - z, -a - 4*a = 5*z + 50. Let o be n(a). Solve o*u - 5*u = -8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (5 + 4 + -1 + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-5\/3)\/d)\/d)**(-13\/7)*(d*d*d**(-1\/10)\/d)\/((((d*d\/(d*d**1))\/d)\/d)\/d) assuming d is positive.\nAnswer: d**(2249\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - f + 58, 3*r + 12 = 2*f + 181. Suppose 5*l + 46 = x, -7*l = -2*x - 4*l + r. Suppose x = 4*j + 5. Put -3, -1, j in increasing order.\nAnswer: -3, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6742296*c**2*l**2 + c**2 + 12385199*c*l - c + l**2 wrt l?\nAnswer: 13484592*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 160 = -5*p, 5*n + 2*p = -p - 200. Let h be -3 + -2 + n\/(-4). Solve -5*u - h*j - 15 = 5, 3*j = 4*u - 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 2*x + 3, f + f - 5*x = 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = 5*l - 6*c, -21*c - 5 = 178*l - 175*l - 16*c for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-15) - (-18)\/(-10). What are the prime factors of (2\/i)\/(1\/(-21))?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3\/7 (b) -3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196 = 2078*r - 2050*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50 - (0 - (27 + (-37 - -6) - (0 - 5)))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 234 - 600. Let j = z + 365. Let d be 36\/(-15) + (1 - -1). Put j, -12, d in increasing order.\nAnswer: -12, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340155737 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1359993047.\nAnswer: 7, 17, 2011, 5683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9117627 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (-9 + (17 - 7) + -8)) + 3 + 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8387 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*g - 36*g - 29940 = 0. Suppose 5*p - 5*b = 4*p + 972, 5*p + b = g. What are the prime factors of p?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by (-408)\/(-21) - (-9)\/(-21)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**2 + 25*o - 30. Let x(w) = -3*w**2 + 19*w - 23. Let a(q) = 7*r(q) - 9*x(q). Let g be ((-25)\/(-15))\/((-1)\/6). Let d be 33\/5 + 6\/g. Give a(d).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(6\/5)*x**6*x assuming x is positive.\nAnswer: x**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2. Suppose -2*r - 302 = -2*l - 8, r = 3. Let d be (6 - l\/27)*9\/2. Let n(h) = -11*h**2 - 5*h**d - h**2 - 9*h**2. Determine n(k(x)).\nAnswer: -26*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 4 (b) -1\/2 (c) -11 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*k - 83245 + 457885 = 0. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 41658 = -4*p - p, 0 = -19*d - 4*p + 198042. Calculate the greatest common divisor of d and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - -11. Let o = w + -24.000013. Round o to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5*k - 2. Let t = k + 6. Suppose 9 + 0 = 9*h. Sort -2, t, h.\nAnswer: -2, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = -6*o. Suppose 3*c = -o*z + 20, 0 = 4*z - 8*z + 3*c + 4. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -7. Let k(v) be the first derivative of 2*v**2 - 3*v - 3. Is 5 a factor of k(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/7)\/r)\/r**(-2\/13)*(r**(3\/7)*r)\/r*r**(-2\/29)*r)\/(r\/((r*r*r**(-3)\/r*r*r)\/r)*(r**(-5)*r*r)\/r)**10 assuming r is positive.\nAnswer: r**(54889\/2639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -356, -18, -6, 5, 13 in decreasing order.\nAnswer: 13, 5, 0.5, -6, -18, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3131, 2697, 2263, 1829, 1395?\n\"Answer: -434*x + 3565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122247518?\nAnswer: 2, 61123759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -0.04, -281, 0.4, -52, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-3)\/4 + (-814165)\/(-44)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/9*(-21)\/2. Suppose -11*s + 16 = -g*s, 3*h + 3*s - 3411 = 0. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/9, 5, -178?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12459*m + 179976 - 83051 = -227009 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 272157092*n**2 - 211936976*n.\nAnswer: 544314184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 - 99. Let i be (15\/(-2))\/(j\/20). Suppose 4*x = -4 + 12. Solve 3*l - i = -x*p - 2*p, -2*l - 10 = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 517230, 515438, 513646?\n\"Answer: -1792*m + 519022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*y + i, -5*y + 2*i = -0*y + 25. Sort -2, 2, y in descending order.\nAnswer: 2, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3828\/696*12\/(-11)*27\/6.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 - 46755*d**2 + 4438230*d - 8689400.\nAnswer: -5*(d - 92)*(d - 2)*(d + 9445)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 205470 and 11.039.\nAnswer: 205481.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 - -90. What is the lowest common multiple of l and -4 - (0 - (-1 - -9))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 7*c - 63 = 0. Suppose -7*w = -35 - c. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 4:05 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 328*v**3\/3 + 113*v**2 - 168. What is the second derivative of c(g) wrt g?\nAnswer: 656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(3740\/4845) + 0 + 3\/2.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*k**4 - 5416962*k**3 + 814984629972*k**2 + 33695212544370*k + 11141183466387 = 0. What is k?\nAnswer: -41, -1\/3, 300963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*3\/6 - -3. List the prime factors of 84\/((v\/20)\/((-6)\/(-10))).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 449 a factor of 89483455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4149 - -5548. What is the remainder when o is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one eighths of a millennium in years?\nAnswer: 6375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from ggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.38? (a) -0.04 (b) 224 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + ((-46)\/(-3))\/(2822\/85 - 32).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-3) - (8 - 6). Let o = -13 + 13.02. Suppose 0 = 14*n - 989 + 1059. Which is the closest to o? (a) w (b) -1\/2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4512 + -6585. Let u = n - -12479\/6. What is the common denominator of 169\/1344 and u?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of 283*c**5\/10 + c**4\/12 + 2123*c**3\/6 + 18*c**2 + 1. Differentiate q(w) with respect to w.\nAnswer: 3396*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*h - 3*h + 93*h + 8*h in the form o*h + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - 2)*(-3891)\/66. Let b = -236 - c. Is -0.1 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 4:39 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17442)\/(-6460))\/((-5)\/10).\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/3858077 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((5*(sqrt(342)\/sqrt(6))\/sqrt(3)*-5 + -1)*-4)**2)*6.\nAnswer: 4800*sqrt(19) + 1140108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from lklkggklklt.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 292135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/1*(2 + -5). Suppose -5*y + 37 = -2*y - 4*b, 0 = 5*y - 2*b - 43. Suppose v + r = y. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1365582.\nAnswer: 2, 3, 227597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25034725 is divided by 139?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 489, 1576, 3669, 7098, 12193?\nAnswer: 19284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*q - 2207 = 3*q, w = -3*q + 752. What is the remainder when w is divided by 124?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2106 and 61074?\nAnswer: 61074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 151730 (b) 10 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 = -4*r + 5*j, -37 = -2*r + j + 44. Calculate the highest common divisor of 429 and r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j - 141 = 5*j + 3*d, d = 2. Suppose m - 21 = 3*r, 4*m = -m + 3*r + 105. Is m >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 239970 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107807, 4, -2, 2, -5, -3, -4 in ascending order.\nAnswer: -107807, -5, -4, -3, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 48?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -859488*l**5 - 473*l**2 - 134?\nAnswer: -51569280*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 960\/(-78 - -158) + (9 - -1).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.732 times 23?\nAnswer: -16.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 4*c - 2*a, -488 + 1434 = 16*a + 477 + 501 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1033603*d**2 - 2551769 wrt d?\nAnswer: -2067206*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -4*n**3 + 4*n**2 - 9*n - 4. Let f(g) = 3*g**3 - 5*g**2 + 8*g + 2. Let v(a) = 3*f(a) + 2*r(a). What is v(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 times 13815.7?\nAnswer: -524996.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 383645698031 minus 0?\nAnswer: 383645698031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c - 1. Let t be y(1). Suppose m - 4*k = 6*m - 555, t*m - 550 = -5*k. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 134, 130, 122, 110, 94, 74?\n\"Answer: -2*g**2 + 2*g + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14253\/248 - 161\/62. Let h = -55 + m. Is 2 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -t**3\/3 + 532. Let k be 0 + (3 + -4 - -3). Let a(d) = -1 - 5*d**k + 4 - 3. Give a(i(h)).\nAnswer: -5*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/44)\/((-6)\/3). Sort -6\/5, u, -0.3 in decreasing order.\nAnswer: u, -0.3, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 110*u - 22 = -104*u, 29*o - 29*o + 2*u = 0 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 11:07 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.375 and -0.5.\nAnswer: 0.1875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 55.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -278095.534 to the nearest 10.\nAnswer: -278100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*u**2 - u**3 + 27*u + 0*u - 15*u**2 in the form c + t*u**3 + y*u**2 + q*u and give q.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 7:12 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57537)\/(-19179)*31\/6*(-6)\/3?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from puvppumbpwpbpvppppm. Give prob of sequence wpuu.\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 1a6a94?\nAnswer: 1a6a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1305586 + -2185704. Let i = w + 880042.0031. Let f = 76 + i. Round f to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b*l**3 + 3*b*l**2 + 1357*b*l*o**3 + 2*b*l + 2*b*o**3 + l**3*o**3 - l**3*o**2 - 10*l**3 wrt o?\nAnswer: 8142*b*l + 12*b + 6*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 34028, 34856, 35700, 36560?\n\"Answer: 8*z**2 + 804*z + 33216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*a**4\/5 + 32*a**3\/5 - 11*a**2\/5 - 12*a\/5.\nAnswer: -a*(a - 3)*(a - 1)*(9*a + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 l when three letters picked without replacement from {l: 3, o: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 2:58 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4*s**3 - 87065806*s**2\/7 - 6218986*s\/7 = 0.\nAnswer: -3109493, -1\/14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*-1)\/(3\/(-192)). Let s be (d\/5)\/(4\/10). What is the highest common divisor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -2\/21, -2, 16\/7, 0, 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-2) + 7\/(-2). Is 1*(56 + r + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-2 + 0 - -1 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 168 - 133. Suppose 2*a - 3*h - 388 = 0, 9*h = 4*h. Calculate the remainder when a is divided by (84\/(-20))\/((-3)\/z).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5298 and 666665?\nAnswer: 3999990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -806, -805, -804, -803, -802, -801?\nAnswer: -800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/9, 0.5, -13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z + 496 - 352 = 0 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 48\/5*w**3 + 176*w - 2\/5*w**4 + 0 - 366\/5*w**2 = 0. Calculate w.\nAnswer: 0, 5, 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5))\/(52\/130).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 51 = -2*m - 3, -2*w + 5*m = -32. Does 12 divide 73 - w - (-1 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 9*z + 11. Suppose -4*i - 5*h + 0*h + 42 = 0, 0 = 2*i - 4*h - 8. What is the units digit of a(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**2 - 10*j + 28. Let g = 7 - 19. Let l be k(g). Let r be (-247)\/l + (-2)\/8. Which is the closest to -0.1? (a) -0.3 (b) -5\/4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -408*w**3 + 123*w**2 + 2*w - 4. What is l(-1)?\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 802*w**2 + 796*w**2 - 54*w - 1600*w**2.\nAnswer: -2*w**2 - 54*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 629*i - 38. Let a(d) = -1256*d + 75. Let u(b) = -6*a(b) - 13*o(b). What is the thousands digit of u(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1399394 - 0.16\nAnswer: 1399393.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-15 - (-1 + -24)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 1:17 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, k: 4, u: 1, l: 4}. Give prob of picking 1 g and 3 l.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*h - 4199, -3*k - 2*k - 4*h - 4187 = 0. Let u = k + 1310. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*y + 2415 = -254*y for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11201947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 605025336*o - 666709818.\nAnswer: 605025336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*66.\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32440 - -1440?\nAnswer: -31000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -51142, -100862, -149152, -196012, -241442, -285442, -328012?\n\"Answer: 715*l**2 - 51865*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5082, -7, 1 in increasing order.\nAnswer: -7, 0.5082, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -154?\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.061 + 0.561. Which is the biggest value? (a) m (b) 5 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 443 - 441. Let w(r) be the second derivative of 11\/39*r**3 + 2*r - 1\/26*r**4 - 6\/13*r**a + 0. Find v such that w(v) = 0.\nAnswer: 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -9) + -4 + (-5 + 6 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 459 = 3*k, 3*a - k + 6*k - 435 = 0. List the prime factors of a.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52031287 is divided by 52031240?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 28 + 47 = m, -2*m + 42 = 2*o. Let q be 10\/(-7) + (-47600)\/(-2450). Calculate the highest common factor of q and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in 1\/4, -1.4, -9, -4\/7, -14?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.7 (b) 15 (c) 29\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by 17?\nAnswer: -31\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 2. Let w be a(3). Let s = 20 - w. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 13072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 - -4 - (237\/54 + -6) and -125\/2502.\nAnswer: 2502","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*s = -80*s + 15492600. What is s rounded to the nearest 10000?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.8735 to zero decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, 0.044, 8, -2, 0.12 in descending order.\nAnswer: 8, 0.12, 0.044, -2, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 10*a + 12. Let y = -14 + 17. Suppose s + 7 = t, -t + 5*s - 42 = -y*t. Let i be k(t). Which is smaller: 3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5349, 5321, 5305, 5307, 5333, 5389, 5481, 5615?\n\"Answer: g**3 - 35*g + 5383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.5887055 plus 7462?\nAnswer: 7599.5887055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 12.9. Let r = -0.3 - 0.7. Are w and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1223.252256659 + 0.6.\nAnswer: -1222.652256659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 40026559 to the power of 1\/2, to the nearest integer?\nAnswer: 6327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 - m**3 + 0*m**3)*(9 - 7*m - 9 + (-4 + 2 + 3)*(m - 4*m + m) - 3*m + 0*m + 2*m - 3*m - m - 3*m).\nAnswer: -17*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 179514 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 494 - 230. Let x = -27 + 17. Let h be (-2)\/(-5) + (-236)\/x. What is the greatest common factor of h and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3869 - -7271. Is 42 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/21 + 0)*-12 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 829480 to the power of 1\/2, to the nearest integer?\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87 - 6. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 245 + 4015002?\nAnswer: 4015251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2 (c) 2\/3 (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -49*l + 145. Let d be c(32). Let t be (12 - 17) + 3\/(-855)*d. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -0.2, 0.2, 17.\nAnswer: -0.2, 0.2, 3\/7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6*h**3 + 7*h**2 - 75*h - 561. List the prime factors of u(-14).\nAnswer: 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**5\/20 - o**4\/2 - o**3\/3 - o**2\/2 + 10*o. Give d(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350828 is divided by 1369?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 355. What is w(-3)?\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -3\/17, 2\/11, 0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -237032 divided by 2.\nAnswer: -118516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 646*s - 3237. Calculate k(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from vvyvhyhvv?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, a: 2, e: 7, b: 4, k: 4}. Give prob of sequence kaaf.\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 69 (b) -4 (c) 4 (d) 1 (e) -5 (f) -9\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 3*k - 6. Let b(j) = -j - 4. Let a be b(-5). What is the units digit of a*-2*12\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 3 (b) -4 (c) -5 (d) -2\/817 (e) 26 (f) 4 (g) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 9:32 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -98*j**4\/11 + 42*j**3\/11 + 48*j**2\/11 + 8*j\/11 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 2\/7, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwppfppfwwffpf. What is prob of picking 1 f, 2 w, and 1 p?\nAnswer: 150\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 38*r**2 - 69*r - 109. Let m be q(36). Let x be 2 + (1 + m)\/(-4). Let s = 1 + -1. Solve i + x*i + 12 = s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139827160.\nAnswer: 2, 5, 11, 317789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 - 2.7. Let y = -1.79995 - m. Round y to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.18 and -530 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5930*j + 5227*j - 315*j)*(-1 + 3 + 0)*(2*j**2 - 2*j + 2*j).\nAnswer: 43368*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 12*u - 23. Let z be x(-9). Solve -z = 5*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 - 15. Suppose -83 = -5*b - 2*a, -b - a + d = 3*a. Let p(n) = n**3 - 2*n**2 - 2*n + 2. Let o be p(3). What is the greatest common factor of b and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 10*g**2 + 0*g**2 + 54*g**2 - 36.\nAnswer: 64*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(720)*-1)\/(sqrt(4) - sqrt(100)*-1).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*n = 39, r + 5*n - 3*n = 11. What is the highest common factor of 75 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**5\/20 - 7*o**4\/12 + 10*o + 7. What is t(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12400 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*t - 5*t - 6*t + (4*t + 4*t - 5*t)*(9 + 16 - 4) as r + a*t and give a.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3640 at least as big as 3639?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**6\/630 - v**5\/70 + 2*v**4\/21 - 5*v**3\/6 - 16*v. Let w(t) be the second derivative of y(t). Find q such that w(q) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 941083?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 6 = -3. Calculate the common denominator of (-286)\/36 + (112\/(-32) - -5) and (-160)\/(-6) + o + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1430 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 50 = -4*h, 6*x - 5*h = x + 190. What is the tens digit of (x\/4)\/(1\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 3*y + 54, 0 = -3*i - i + y + 88. Suppose -f + 4 = -i. What is the remainder when f is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11988302 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -86 - -88. Is m\/6*(-3 + 6) + 149 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -79*w**6\/6 + 11*w**2\/2 - 3*w - 17. What is the second derivative of n(z) wrt z?\nAnswer: -1580*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -478 - -517. Calculate the remainder when 142 is divided by f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7536944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2 = -b, -3*b + 2 = -2*h + 47. Let u be 6 + b - (-1 - -2). Let g(v) = -v - 3. Let w be g(u). Solve -j - 3*j = -5*n + 8, -10 = n + w*j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 equal to 515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -114366518?\nAnswer: -457466072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40041142 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 8*o**2 - 18*o - 15. Let d be j(-5). Let l be (-1)\/1 + 1 + (-3)\/561. Which is smaller: l or d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 v when three letters picked without replacement from vtxdxxxtxcvdvvmdxx?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**3 + 3*q**3 + q**3 + (-117*q + 46*q + 53*q)*(-100*q + 100*q - 8*q**2) to the form j*q**2 + f + g*q + m*q**3 and give m.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 25, -2, -215, -3 in decreasing order.\nAnswer: 25, -1, -2, -3, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 82843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + 4*sqrt(1408))\/((sqrt(30)\/sqrt(3))\/sqrt(5)).\nAnswer: 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-11)\/(j*j**18))\/(j*j**(-4\/5)*j**(3\/2)))**(1\/11) assuming j is positive.\nAnswer: j**(-317\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 3*r + 4*r - 13063 - 5*r**2 + 13*r**2 + 13050 - 2*r. Give d(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 708 is divided by 37?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -2*x**3\/9 + 64*x**2\/9 - 110*x\/3 + 52 = 0.\nAnswer: 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 10:59 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (68\/6)\/(1 - 21\/27). Let i = -48 + k. Solve 3*f - 2*f - i = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -65*z**2 - 70*z**2 + 109*z**2. Let t(q) = -4*q**2 - q**2 + 6*q**2 + q**2. Determine t(h(n)).\nAnswer: 1352*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 4:37 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 7, 0.1, 3\/16, 2\/9?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10687.\nAnswer: 10687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 7*b**2 + 17*b + 10. Let o be n(9). Let p(r) = -2 - 1 + o - 6285*r + 6277*r. Let i(q) = -31*q - 9. Calculate 2*i(u) - 9*p(u).\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -5\/4, -2\/9, 25, 80, 3\/22?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f. Let u(r) be the second derivative of r**7\/360 - r**4\/12 - 2*r. Let j(l) be the third derivative of u(l). Determine v(j(a)).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12281, 24778, 37237, 49640, 61969, 74206?\n\"Answer: -3*a**3 - a**2 + 12521*a - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k**3 + 625*k**2 - 283*k + 9339. Determine j(89).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -11*b - 13*b + 2*b**2 + 5*b - 23*b + 19. Is q(21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(162) + 2))**2 + 4.\nAnswer: 900*sqrt(2) + 4154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -165*q - 8. Let x(b) = -56*b - 3. Let k(o) = 3*w(o) - 8*x(o). Let d(y) = y**2. Give d(k(i)).\nAnswer: 2209*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 9*l - 16. Suppose -392 = -l*a + 190. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -24 - 0. Let i(t) = -18*t. Let g(j) = 18*j. Let p(m) = y*g(m) + 5*i(m). Let n(k) = 0 + 0 + 85*k**2 - 87*k**2. Give n(p(f)).\nAnswer: -648*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z - 18. Let n be h(-7). Solve a = 5 - n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 655?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/10)*k*k\/k**(-2))\/(k**(-1\/4)\/k*k\/(k\/(k\/k**(-1)))) assuming k is positive.\nAnswer: k**(63\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2222837 + -2222836.4200155. Let t = q + -0.58. Round t to six dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32907 divided by -1.\nAnswer: -32907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7.899062 kilometers?\nAnswer: 7899.062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 186744 and 156240.\nAnswer: 39216240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 6137\nAnswer: -20\/6137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 661430, 661426, 661422, 661418, 661414?\n\"Answer: -4*g + 661434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**2. Let l(b) = 755*b**2. What is l(g(j))?\nAnswer: 12080*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 694854 > 694864?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100110 - 101001110011010101?\nAnswer: -101001101111101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -5351?\nAnswer: -5354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14041 + 1?\nAnswer: -14040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -1117*c**3 - 2*c**2 + 12*c - 6. What is the hundreds digit of r(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 1986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -25647273 divided by -3\nAnswer: 8549091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -147? (a) 2 (b) -0.1 (c) -1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 5. Let s(o) = 3*o**2 + 14. Let n(w) = -8*l(w) + 3*s(w). Let k(b) be the first derivative of n(b). Let h(c) = 15*c. Calculate h(k(u)).\nAnswer: 30*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9736\/9 - -1082. Which is the fourth biggest value? (a) g (b) 6 (c) -2\/31 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/3*(-44)\/(-132)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2313, 0.3, -373, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -309, -1\/5, -2\/5, -77\/6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98780 + 140331. List the prime factors of y.\nAnswer: 37, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 1, 2279, 2\/11, -24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001659 to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26264 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 6. Let p be 2 - (-41 + (d - 2)). What is the greatest common divisor of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 18. What is the nearest to 0.1 in 12, -2\/9, p?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 340, 199, -438, -1595, -3296, -5565, -8426?\nAnswer: -11903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5177239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 5 + 2 - 2 - 4. Let h(o) = 16*o + 1. Let l(z) = 87*z + 6. Let r(q) = -22*h(q) + 4*l(q). Let p(n) = -r(n) + 6*v(n). What is p(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**3 + 233*m**2 - 1610*m - 1176 = 0. What is m?\nAnswer: -84, -2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 948905842 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -309*j**3 + 265*j + 65*j**3 + 3 - 264*j to k + n*j**3 + d*j + y*j**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 5*f + 743 - 763, 0 = -5*a + 2*f - 31 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 54496430 - 17638570 = 0. What is l rounded to the nearest 100000?\nAnswer: -14400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4 = 2*f, -7*n - 5 = f - 2*n. Solve -3*s - 2*s + 10 = f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -505 or -322779\/638?\nAnswer: -505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.0775ug in tonnes?\nAnswer: 0.0000000000850775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/((o\/(o\/(o\/(o**(-5)*o)*o*o)*o)*o)\/o)*o*o**7)**49)**9 assuming o is positive.\nAnswer: o**1764","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k - 10. Let x be s(2). Let r = 20 + x. Suppose 5*g = -r*n - 0*n + 523, -657 = -5*n - 3*g. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25579251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**3 - i**3 + 3*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 3 - 3)*((1 + 1 + 1)*(5 - 5 - 1) + 6 - 2 + 2).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1215 - 1215.4976. Round w to 2 decimal places.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -720 by 45.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 132637*w + 29*w**4 - 132636*w + 2 + 0*w**2 - 2*w**3 - 2*w**2 to l*w**2 + v*w + c*w**4 + u + m*w**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d - 2*d - 2*d - 2)*(6 - 11 + 4)*(2 + 9 - 2) as j*d + o and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 122129 and -0.289.\nAnswer: -35295.281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*w - 20 + 4. Let h(n) = 2*n**2 - 6*n + 2. Let y be h(6). Suppose w*a = y + 10. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03 + 18393248.\nAnswer: 18393247.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*t + t - t)*(-t - 2*t**2 + t) - t**3 + 0*t**3 + 0*t**3)*(-6004 + 119*t**2 + 6004).\nAnswer: 357*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - -3*sqrt(132))*4)\/(sqrt(96)\/(sqrt(8)*2 + sqrt(8) + sqrt(8) - sqrt(8)) + sqrt(12)).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 664821107?\nAnswer: 664821107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 174230.6 microseconds?\nAnswer: 174230600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33.67 + -42.67. Let g = -1154\/5 + 230. Which is the second smallest value? (a) z (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205832863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 5:48 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*o + 210, -3*l = -0*l - 4*o - 301. Suppose 0*u = 5*u - l. What is the second derivative of -21*b**5 - u*b + 4 - 4 + 15*b**5 wrt b?\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26006899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53840.69 micrometers in meters?\nAnswer: 0.05384069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6967716 and 345639?\nAnswer: 2289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*r**2 + 118239*r - 29*r**3 - 118241*r + 66*r**2.\nAnswer: -29*r**3 + 86*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 437629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 9*m - 13. Let u(a) = -1. Let g(x) = -t(x) + 6*u(x). Is g(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 561\/27 - (-4)\/18. Let i(o) = 2*o - 41. Let h be i(m). Let y be 0 + h + (184\/(-14) - -7). Is -4 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4506043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 18832 = -4*j - 0*a, 2*j - 9422 = a. Let s = j + 2411. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-150)\/(-9))\/(385\/(-195) + 2). Let z = 1210 - h. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -310617?\nAnswer: -310614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9420, -3391, 6654, 20715?\nAnswer: 38792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/14 + (-390)\/70. Let f(x) = x. Let b(k) = k**3 - 6*k. Suppose 4*q + 4 = -0. Calculate q*b(j) + w*f(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 + 22. Let z = -74 + d. Let i(g) = 2*g - 2*g + g - 27*g**3 + g**z. What is i(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4576*x - 9150*x + 4571*x + 4*j = -112, -33 = 2*x + 5*j + 84 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 489 is divided by 457?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*l - 379*l + 1547 = 0. Let g(i) be the second derivative of i**4\/6 + i**3\/2 - 5*i**2 - i. Is g(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 649, 3, -132 in increasing order.\nAnswer: -132, 3, 649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31379\/288 or 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -20*x + 9. What is the remainder when 107 is divided by g(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6110*t + 6154*t + 17*t**3 - 14*t**3.\nAnswer: 3*t**3 + 44*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*b - 334165 = 58675. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 1676, -4, -3, 0, 6.\nAnswer: -4, -3, 0, 6, 19, 1676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 521, 1041, 1561, 2081, 2601, 3121?\n\"Answer: 520*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r**2 + 77646965*r = 0. What is r?\nAnswer: -15529393, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 447 - 445. Let l(v) be the second derivative of 4\/13*v**3 + 0 + 2*v + 5\/78*v**4 + 4\/13*v**w. Factor l(u).\nAnswer: 2*(u + 2)*(5*u + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1228951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39c14 (base 13) to base 14.\nAnswer: 2b269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/622413 and 28\/165.\nAnswer: 3112065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 1:01 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -456?\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3743693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23458 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 5*n**3 - 72618*n**2 - 101673*n - 29050 = 0.\nAnswer: -1, -2\/5, 14525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, o: 2, m: 4, b: 2, g: 1, d: 2}. Give prob of picking 1 d, 1 g, 1 b, and 1 o.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*d**2 + 42*a*d**2 - 13*d**2 + 12*d wrt a.\nAnswer: 4*a*d**2 + 42*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -837342 (base 10) to base 6\nAnswer: -25540330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -24*b - 16. Let i be m(12). Let k be -1 - i*(-10)\/(-4). Suppose 0 = -2*t - k + 2601. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 8, 0 = -0*p - 2*p - 4*k. Let r = -60 + 72. Let l = r - p. Calculate the least common multiple of l and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 8*z - 12. Give m(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 15*p**2 + 2*p - 5. Let q(x) = 16*x**2 + 3*x - 6. Calculate -3*q(m) + 4*u(m).\nAnswer: 12*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g**3 - g. Let d be a(1). Suppose -y + 2*y - d = -2*o, 5*y + o - 61 = 0. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((1377\/2)\/17)\/(36\/(-48))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2790048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8942039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -20 - 16*u**2 + 17 + 7*u**2. Let m(r) = -2*r**2 + r. Calculate m(f(v)).\nAnswer: -162*v**4 - 117*v**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1180 and 34574?\nAnswer: 345740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 8 = 26. 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: What is the third biggest value in -250, -2\/11, 3\/5, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-9*(-4)\/(-8)*272\/612)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1307*m**2 + 0*m - 885*m**2 + 2513*m**2 + 0*m.\nAnswer: 2935*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 1 = 7. Let c(x) = -10840*x + 10841*x + 0 - t. Calculate c(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**3 + 144*z**2 + 624*z - 43264 = 0.\nAnswer: -16, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2.28, 2\/39, 69 in decreasing order.\nAnswer: 69, 2\/39, -2.28, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c**2 + 11*c - 72. Is o(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -1. Let h = 4 - 0. Suppose 0 = -h*x + 2*x + 12. Solve x + 9 = -l*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-14)*(880\/64)\/55*-14 - -99.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12059730 rounded to the nearest ten thousand?\nAnswer: -12060000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3*y + 3, y = -3*r + 19 + 22. Suppose -5*o - 1 = 2*v, 4*v = -0*o - 2*o + 22. Calculate the remainder when r is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 165680374 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -5*m - 44, -305*h + 151*h - m + 52 = -157*h for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 5*v + 1 = -0*v, a + 4 = -5*v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = 4*t + 18. Suppose 3*o + 2 = t. Suppose h - o = 3*g, h + h + 16 = -2*g. Are g and -3 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0002 - -11.\nAnswer: 10.9998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m - 13. Let b be l(-10). Solve -b*j - 84 = -70 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - -2 - 8 - 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 8:18 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 2*y**2 - 7*y - 8. Calculate f(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l - 35*l + 133*l - 16*l - 72*l - 3*l**2 + l**3.\nAnswer: l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42.26 + 42. Round o to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from grrvorogr.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 0 + 1 + 1 + 0 + (-2 + 4 - 1)*(0 - 3 + 5))*(3*t**3 - 5*t**3 + 0*t**3).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 + 102. What is the smallest common multiple of g and 72?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**4\/4 - 231*w**3 + 160083*w**2\/2 - w - 920. Let b(m) = 0. Calculate m.\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.973 + 25.027. What is the third smallest value in i, 0, -0.05?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**5 - 964*u**4 - 11984*u**3 - 29264*u**2 - 18240*u = 0 for u.\nAnswer: -228, -10, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.4 and -222598.\nAnswer: 1647225.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 292 - 259. Suppose 17*b - 18 = m. Solve -b*w + 6 = 0, 0*x - 5*w = -4*x - 22 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4143\/506 + 135\/23. Calculate the common denominator of v and 23\/7.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26134209 and 97619?\nAnswer: 1750992003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(200) + 2 - (-5*sqrt(200)*1 - sqrt(200)))*-1*6)**2*-4.\nAnswer: -115776 - 11520*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -585b (base 16) to base 4.\nAnswer: -11201123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1919)\/(-133) + (-10)\/7 + 1. Suppose -3*l + 13 = r, 3 = f*l - 13*l. Solve 3*p = r*n - 6 + 19, -5*n + 7 = 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*6*-3 + -1)**2.\nAnswer: 144*sqrt(19) + 98497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18410, -18294, -18178, -18062, -17946, -17830?\nAnswer: -17714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3944472 to the nearest integer?\nAnswer: 1986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111 (base 2) to base 14.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 215117843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2900800.\nAnswer: 2, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0 (c) 12 (d) 8 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 8*h + 8. Let s be z(-1). Solve 0*u + 2\/7*u**2 + 2\/7*u**4 - 4\/7*u**3 + s = 0 for u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -699, -709, -721, -735, -751?\n\"Answer: -c**2 - 7*c - 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(8\/(-6)) - -2. Let n be (l - -17)\/((-3)\/(-7200)). Let o be n\/(3\/(5625\/(-6))). Round o to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-744)\/(-34) - (1 + 76\/(-68)) is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8960)\/(-16) - (7 - -3). Which is smaller: b or 547?\nAnswer: 547","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -909*r**3 + 3*r**2 - 1. Suppose -j - 12 - 10 = 5*f, 0 = 5*f + 20. Let x be s(j). Suppose 13*t - 1778 = x. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -13. Let f be 6\/s + (-4)\/(-10). Which is bigger: 1\/4 or f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98.9 + 0.9. Let j = y + 97.9826. Round j to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2693937 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1160709 is divided by 211.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/30)\/((-24)\/16).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -101*i**2 + 303*i + 9. Let t be g(3). Solve 0 = t*r - 154 + 208 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 + 5 = 0. Let t(m) = m**3. Let l be t(2). Let j be (3\/l)\/(6\/(-4)). What is the biggest value in n, 4, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 94005.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -21, 2, 179, -4527 in increasing order.\nAnswer: -4527, -21, 0, 2, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -354 + 351. Let x be 3 + 9\/g - (12 + -12). Solve 14*w - 11*w + 6 = x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*i**4 + 180011*i**3 + 9*i**2 - 56*i + 40 wrt i?\nAnswer: -216*i + 1080066","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -368*b**3*w - 1338*b**3 + b**2*w - 2*b**2 + 4089*b*w + 2*b - 73 wrt w?\nAnswer: -368*b**3 + b**2 + 4089*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(-392))\/(10\/(-14))*(-540)\/(-72).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 129*b - 186 wrt b?\nAnswer: 129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 111438801261?\nAnswer: 111438801260.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p = 16 + 74. Suppose -3*y + p*v + 1475 = 2*y, y - 301 = 4*v. What are the prime factors of y?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63530671?\nAnswer: 63530671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -a - 116. Let l = 317 - 297. What is the remainder when a is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 5335.268 decades?\nAnswer: 533.5268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 v when four letters picked without replacement from sspppppppppvbbsbpb?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3821\/2436 + -1\/348. What is the common denominator of o and 59\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 0*n**2 + 3*n**4 - 8\/3*n**3 - 14 - 4\/5*n**5 + 0*n. Solve p(d) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, y: 7, a: 1}. Give prob of picking 1 a, 1 v, and 1 y.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.5 + -1.5. Let g = -3.695 + -0.319. Let v = -0.014 - g. Which is the smallest value? (a) -1 (b) v (c) 0.5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1173 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - -8) + -6 - (4 - 9 - 7).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -954, -1539, -2508, -3855, -5574?\n\"Answer: n**3 - 198*n**2 + 2*n - 759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 53355946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b91c (base 13) to base 11.\nAnswer: -18356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1482 divided by -129665?\nAnswer: -1482\/129665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 1276 = 2*g + 1279, 5 = 5*s + 5*g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20164 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1530 by 4.\nAnswer: 765\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 + 4.98. Let l = x - 4. What is the closest to l in -1\/3, 4, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -375*d**4\/8 - 53775*d**3\/8 - 2166795*d**2\/8 + 217083*d\/8 + 525557943\/4.\nAnswer: -3*(d - 18)*(5*d + 269)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(-18))\/17*3*-3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3001146, 12004588, 27010326, 48018360, 75028690, 108041316, 147056238?\nAnswer: 192073456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -1.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18465\/54*1 - (-28)\/504. Solve -d = 33*q + 24*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 6. Let m = -543 - -543. Suppose m = 24*q - 12*q - 168. Solve 4*i - y*v + 2*v - q = 0, -2*i = v - 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 437 + -358.4. Let l = t - 79. Let d = 1 + -1.2. What is the nearest to -4\/7 in -3, d, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -742\/117 + 73\/9. What is the common denominator of -62\/9 and q?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 312962 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 186932854 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21029714 to the nearest integer?\nAnswer: 4586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/28*1\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m - 192 = m. Suppose -2*h + 2*g + 7 = 3*h, 2*g = -2*h. List the prime factors of (-372)\/m - h\/4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**5\/2 + 471*y**4\/2 - 7476*y**3 + 14022*y**2 = 0 for y.\nAnswer: 0, 2, 41, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 11*i**2 + 13*i + 15. Let s be a(-12). Suppose 4*d + 73 - 367 = -s*h, 2*h + 284 = 4*d. Let j = -25 + d. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 287 + -8870?\nAnswer: -85a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 y when four letters picked without replacement from {y: 1, o: 9, u: 1}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 11*o = -7. Let x = 9 - o. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t - 26*t + 21*t - 51*t - 52*t.\nAnswer: -120*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a - 10. Let r = 119 + -78. Suppose 4*y + r = 5*h + y, 18 = 2*h - 2*y. Does 4 divide u(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 - b**3 + 0*b**2 + 227 - 227 - 56*b**3 + (-b**2 - 1 + 1)*(2*b - b - 3*b) - 3*b**3 + b**3 + b**3.\nAnswer: -56*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-33)\/(-36) + (-2)\/3. Let b = -53304 + 53301. Sort -1\/3, r, b, 13.\nAnswer: b, -1\/3, r, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p. Let q be f(1). Let a be (-5 - -5)\/((3 + -4)*-2). Find h, given that -h**4 + 1\/3 - q*h**2 + a*h - 8\/3*h**3 = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/5)*i*i*(i\/i**(-4))\/i*i*(i**(1\/4))**(-50))**(-33) assuming i is positive.\nAnswer: i**(2013\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(363) + -2)*-5 + 5.\nAnswer: -5 + 55*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -945.124, 1, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, -1\/5, 157, 0.198, 12?\nAnswer: 0.198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3218 + -16089\/5. Let f = -24 - -36. Let v be (2*-1)\/(8\/12). Which is the second smallest value? (a) z (b) v (c) -1\/7 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxkxxxxxxynxgg. What is prob of picking 1 g, 1 k, 1 n, and 1 x?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1087.787 + 1087. Let w = d + 0.68. Let r = 0.10700172 + w. What is r rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3983 - -4252.82. What is h rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 24. Let f = 2.5 - g. What is the second biggest value in f, 0.3, 3\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -137 - -1439. Calculate the greatest common factor of 744 and y.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*a**2*a))\/a**(-4))**(-13) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0, 3, -480 in increasing order.\nAnswer: -480, 0, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8366157*m - 8366391*m = 18252 for m.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y + 9. Let g be v(2). Let h be 2 - ((-30)\/g - -4). Let u be -2*(-1 - 6\/(-4)). Is h bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82363 is divided by 6335?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, o: 2, x: 9}. Give prob of picking 1 o and 1 f.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 86.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 23652*k + 1109425. Determine p(47).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 - 752. Let l = w + 998. What is the greatest common factor of l and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155711.\nAnswer: 47, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 37. Suppose d*i = 4*i - 3. Solve -3*t = i, 4 = 2*b - b + t for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**5 - 220*v**4 - 2520*v**3 + 272800*v**2 - 4830320*v + 26832960 = 0?\nAnswer: -36, 14, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/13))**(-3\/20)*(m**(-10\/13))**(32\/3) assuming m is positive.\nAnswer: m**(-493\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2677, 5352, 8027, 10702, 13377?\nAnswer: 16052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5286 is divided by 1217?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 0 - (-18)\/6. Let v be -1 - (-117 + (n - 5)). Suppose 2*g - 108 = 2*t, -4*t - v = -2*g - 0*g. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 18*r**2 + 2*r + 1. Give s(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24\/7 or -2119783\/6?\nAnswer: -2119783\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 b, and 1 i when three letters picked without replacement from {n: 1, l: 1, i: 1, d: 1, b: 1, g: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 177\/1548457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q - q + 6*q)*(-q - 2*q + 4*q)*(-3 + 2 - 2 + (3 + 4 - 5)*(1 + 1 - 1)) as i*q + t + h*q**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - -0.7. Suppose -3*z = 2*z. Let h be 0 - (z\/(-2) - -1). Which is the nearest to -2\/3? (a) 4 (b) h (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 208*k\/3 - 136\/3.\nAnswer: -2*(k - 34)*(3*k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 4*f - 4 = 12*y, -2*y + 2*f + 2 = 0. Let d(w) = -10*w + y*w + 2*w**2 + 10*w. Let q(r) = 3*r + 3. Calculate q(d(g)).\nAnswer: 6*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 28321682 rounded to the nearest ten thousand?\nAnswer: 28320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 102*k**2 - 178*k + 99*k**2 - 106 + 201*k - 200*k**2. Calculate z(-27).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 5*q - 114. Let m be h(-12). Let s = -297 - m. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195752 is divided by 152.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -4. Let k = x - -0.2. Let r = 17926.8 - 17927. What is the smallest value in k, -0.26, r?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161 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: Expand (-3 + 4 - 3)*(-2*u**3 + 2 - 2) - 6*u**2 + 6*u**2 + 3*u**3 - 2*u**2 - 3*u**3 + 0*u**3 - u**3.\nAnswer: 3*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z - 4. Let a(r) = r - 16. Determine a(s) - 6*o(s).\nAnswer: -5*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(147\/(-24))*(-15)\/(1800\/(-140)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*a**4 - 2969*a**3 + 2*a**2 + 1084*a + 1998?\nAnswer: 408*a**2 - 17814*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 377 = 353. Let m = -70 - j. Solve 5*g = -m*g - 32 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-1\/3))\/k)**8\/(k**6*k*k**(-8)*k) assuming k is positive.\nAnswer: k**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 10. Let r(q) be the second derivative of q**4\/6 - 2*q. Let i(x) = -3*x**2 + 1. Let k(j) = w*r(j) + 3*i(j). Differentiate k(z) with respect to z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/8883 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 0 + 0*a + 1\/160*a**6 + 1\/840*a**7 - a**2 + 1\/80*a**5 + 1\/96*a**4 + 0*a**3. Factor m(y).\nAnswer: y*(y + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(3)*1*-1 + -4*(2 + sqrt(3) + sqrt(3)*-3).\nAnswer: -8 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2337*r + 17837 + 859 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.41 + 19?\nAnswer: -19.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*k + 2215*k**2 + 71*k + 17*k + 22*k + 28*k.\nAnswer: 2215*k**2 + 104*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 18, 27, 36, 45?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4968140 to the nearest integer?\nAnswer: 2229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + (sqrt(405) - ((sqrt(405) - (sqrt(405)*2 + sqrt(405))) + sqrt(405) + 2))**2.\nAnswer: -72*sqrt(5) + 1621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5758*c + 4. Let l(q) = 178500*q + 126. What is 2*l(h) - 63*y(h)?\nAnswer: -5754*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11132 by -2.\nAnswer: 5566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6 = -2*q. Suppose -2*j = -f - 1, 4*f + 5*j + 3 = f. Let g = f + -1. Put g, -1, q in descending order.\nAnswer: q, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 12. Let w be ((-3)\/6)\/((-1)\/(-14)). Let q be g(w). Differentiate -3*v**3 + 1 - 3*v**3 + q*v**3 with respect to v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 3*g**2 + g + 4. Calculate the remainder when (122\/(-12))\/((-27)\/162) is divided by l(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d\/(d**(-2)\/d*d))\/d)\/d*d*d)\/d*d)\/d**(-11)*(d\/d**(-1\/2))**(16\/5) assuming d is positive.\nAnswer: d**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-88)\/(-32))\/((-1)\/(-4)). Suppose k - 12 = 5*r, -2*r = 2*k + r - x. Let u(d) = -7*d + 1. Calculate the smallest common multiple of k and u(-1).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -329*2.\nAnswer: -658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 334 + -232. Suppose 11 = -13*z + l. Solve -k = -p + k - 7, -4*k + z = 5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 5:10 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22645905.\nAnswer: 3, 5, 1509727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 176, 4 in increasing order.\nAnswer: -5, 4, 5, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1375 (base 11) in base 6?\nAnswer: -12120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - p - 49. Let h(x) = x**2 + 237*x + 1825. Let s be h(-8). Calculate j(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 209 + -122. Suppose 2*y - 75 = 3*b + 2*b, 0 = -4*b - 12. Calculate the remainder when s is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15988 - -15986.445. Which is smaller: y or 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 17*x**2 - x + 38. Let h(r) = -r**2 + 10*r + 17. Let n be h(10). Calculate the remainder when 39 is divided by m(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -2\/1027553?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 2*m**2 - 8*m - 6. Give r(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3*((sqrt(95) + sqrt(95) + -2*(-2*sqrt(95) + sqrt(95)))*6)\/(-1*sqrt(80)*1).\nAnswer: -3 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjyd when four letters picked without replacement from jdjqkyx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-9)\/(-12))\/(26\/(-8))*1801\/3602.\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 285934046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 854003767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6694*b - 538*b + 523*b.\nAnswer: 6679*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26396465?\nAnswer: 5, 521, 10133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25208604 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1853*j - 22234. Let y be w(-12). Factor -2\/7*r**3 - 44\/7*r**y - 306\/7*r - 648\/7.\nAnswer: -2*(r + 4)*(r + 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + p**2 - 14*p + 43. Let y be r(4). Are 61 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18488 is divided by 105?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-25)*g)*g*g**(-19\/5)*g)\/(((g*g*g*g\/g**(-1\/7))\/g*g)\/((g**(-1\/34)*g)\/g)))**(2\/45) assuming g is positive.\nAnswer: g**(22643\/26775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -290.868 and 6?\nAnswer: -1745.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -8*g. Let q = 174 + -158. Suppose -b = 4*v + q - 45, 5*v + b - 35 = 0. Let r(k) = 7 - 7 - 2*k. Determine v*z(y) - 22*r(y).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + 2. Suppose m + 0*m = a. Suppose -6*d - 52 = -8*d - 2*o, o = -15*d + 404. What is the smallest common multiple of d and m?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k. Let r(h) = -4*h. Let u(o) = -7*q(o) + 4*r(o). Let s(j) = 3*j - 2 + 2. What is u(s(p))?\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011000010100011 (base 2) in base 11?\nAnswer: -53658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 - 37*o - 13. What is the least common multiple of z(19) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 8*o + 25. Let w be ((-72)\/15)\/((-1)\/o). Solve 3*h = 5*r + 13, 4*h - 8 + w = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 338\/21 - 49\/3. Calculate the common denominator of (6\/81 + 0)*2184\/(-224) and v.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 447\/2 in 2\/5, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3540 divided by 354.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19236388 + -20?\nAnswer: 19236368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 354\/59*4\/(-3816)*6.\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(637))**2*-1*3 + 3 + sqrt(637) + sqrt(637)*4 + -2 + sqrt(637).\nAnswer: -1922 + 126*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q + q + 20*q**2 - 2*q**2 + 7*q wrt q?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -18, -33, -509.\nAnswer: -509, -33, -18, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -3, 1\/6, 2, -1096?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 27*c**2 - 14*c + 256. Let v be o(-28). Suppose 136 = -3*j + 2*j. Is v greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 3836\nAnswer: -3836.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 65341404 a multiple of 2800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16, -51, -86, -121?\n\"Answer: -35*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -4*q - 8, 5*l + 352 - 347 = -5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/48)\/((-135)\/72).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-288))\/((-312)\/(-108) + -3)*(-112)\/3?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/2 - -1. Suppose 139*i - 143*i - 26 = 10*j, -3*j + 15 = 5*i. Which is the smallest value? (a) -2\/5 (b) w (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/23 and 2\/253.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, j: 11, t: 1}. What is prob of sequence pjj?\nAnswer: 385\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -3)\/((-16)\/(-56)). Let s = u - 11. Is 20 a factor of ((-15)\/9)\/(s\/96)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9875 - -365376\/37. Which is smaller: -1\/36 or a?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 21131100231?\nAnswer: 21131100221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 86374899613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1)*(0*j + 2*j + 0*j)*(3*j + 5*j**4 - 3*j).\nAnswer: -30*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31 and -96?\nAnswer: 2976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16365*d**6*w + 145*d**6 - 775790*d**2*w - 3*d*w wrt d.\nAnswer: 1963800*d**3*w + 17400*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*o - 69*o - 52 = 2*s, 0 = 3*o - 5*s - 60. Calculate the highest common divisor of o and 5789.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/45*(-4)\/6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(68) + 1 + sqrt(68) + 5 + sqrt(272)*2.\nAnswer: 8 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*2\/((-8)\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -69\nAnswer: 20.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 6:13 PM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppmv when four letters picked without replacement from vppmppmpmvppvmpp?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 6*k - 1346. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 104*i**2 - 73*i - 3331. Give l(105).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 24 = g. Let d = 106 - 223. Let v = 118 + d. Calculate the least common multiple of g and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, k: 1, l: 2}. What is prob of picking 1 c and 1 l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*a**2 - 489 - 718 - 722 - 9*a**2 to the form q + t*a**2 + w*a and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 75798959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 2*a + 6, -4*v + 1331*a - 1334*a = 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z**2 + 4 - 5*z**2 - 7.\nAnswer: -12*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**2\/5 - 19554*c\/5 - 28667752\/5 = 0?\nAnswer: -7981, -1796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*2 - 1968\/(-123)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15.43, -21.5, -4?\nAnswer: 15.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -25930 divided by 2\nAnswer: -12965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 336 and 896.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4300 by -13.\nAnswer: -4300\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvh when three letters picked without replacement from {h: 1, j: 4, v: 1, c: 4, d: 1}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*q - 77 = -407. Let n(j) = -2*j - 2. Calculate n(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1994 = 2*p + 2*n, -p - 4*n + 1003 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from ssssysssyysssysssy?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111615 is divided by 305?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -30. Is (-88)\/4*(-9)\/d a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6.826268 nanometers?\nAnswer: 0.0000006826268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2455 (base 7) to base 6\nAnswer: -4134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 7*o**2 + 5*o - 6. Is 9 a factor of n(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -258256300*t**3 - 315921559*t wrt t.\nAnswer: -1549537800*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, j: 2, u: 1, z: 5}. Give prob of sequence jjzz.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/5))**(-28\/3)*(i*i**(-6))\/(i**(2\/13)\/i*i*i)*((i*i*i**(-2\/9))\/(i**(-3)\/i))**(4\/7) assuming i is positive.\nAnswer: i**(-26968\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/105551110 and 53\/10.\nAnswer: 105551110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(36\/(-30))\/((-12)\/40).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 6\/7, 2\/5, -1503, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 51\/(-15))*20. Suppose z + m = 2. Let n(g) = -7*g + 2. Let i(x) = x. Determine z*i(y) - n(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 2968000.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6.768598 grams?\nAnswer: 6768.598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**2)**(1\/28)*m**(-4)\/(m\/m**(-1\/2)) assuming m is positive.\nAnswer: m**(-151\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.818386 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -11112122?\nAnswer: 11112210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4233 is divided by 212.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5 = 19. Let y be (-30)\/(-21) - (-6)\/(-14). Sort y, -3, w in decreasing order.\nAnswer: y, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 10*v**2 - 10*v + 16. Let s be k(-11). Let y = s + -8. Let u be (0 + -4)*y\/6. Solve 3*n = -u*n - 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4944*u**2 - 7*u - 2. Let z be v(-2). Suppose 0 = -2*i + 4*y + 11198, -5*i + 2*y = -8247 - z. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -37*o**3 + 218*o**2 - 75*o - 15. What is r(5)?\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8972616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 + t**2 + 7*t - 5. Let c be b(5). Suppose c = -5*w - 0*w. Let p = -31 - w. Calculate the remainder when 89 is divided by p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28.945 - 29. Let w = m - -0.05463. Round w to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93861224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35845.2743 rounded to the nearest ten?\nAnswer: 35850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48*n*z**4 + 2*n*z + 28*n + 4*z**4 - 2*z wrt z?\nAnswer: 576*n*z**2 + 48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = f - 1041, 3*f - s - 4*s = 3107. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -17.26.\nAnswer: -17.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -u**4\/8 + 2*u**3\/3 - 2695*u**2. Let m(v) = -2*v + 3. Let k = -6 + 10. Give k*n(h) - 5*m(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 6 = 0, 5*h - 21 = 40*f - 29*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -302 + 327. Suppose 5*k + 168 - 1293 = 0. Calculate the highest common divisor of o and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*y**5 + 1101*y**4 - 3184*y**3 - 105*y**2 = 0 for y.\nAnswer: -3\/92, 0, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -2133.\nAnswer: 7\/2133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4525 rounded to 3 dps?\nAnswer: -0.453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1467 and 43823691.\nAnswer: 1467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) 2\/15 (c) 4 (d) -653\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5 - 7. Suppose 17 = 5*f + 4*t, 5*t + 35 = x*f - f. Which is the second biggest value? (a) f (b) 7\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1206 and 0.096.\nAnswer: -1205.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 17 (c) 4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -l, -4*v - 51 = -l - 54. Suppose -14\/5*q**4 - 32\/5*q + 6*q**3 - 2*q**v + 2\/5*q**5 + 24\/5 = 0. Calculate q.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 29930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33592\/8305 + 468\/151. What is the common denominator of (-59)\/20 + 26\/((-338)\/(-39)) and d?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 407.2179878 to 2 decimal places.\nAnswer: 407.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2137 - -3322. List the prime factors of s.\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*a**5 + 2*a**3 + 132*a?\nAnswer: 420*a**3 + 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 2*s**2 + 4*s - 1. Let c be f(-2). Let a be (-12)\/c - (-8)\/36*3. Solve a*y - 4*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.37 and -1.5?\nAnswer: 2.055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**5\/20 - z**4\/24 + z**3\/6 + 2*z**2. Let i = 9 - 8. Calculate y(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 143 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -378, -370, -358, -342?\n\"Answer: 2*d**2 + 2*d - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**19\/c)\/c)**(-3\/16) assuming c is positive.\nAnswer: c**(-51\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -3*c**2 - 1\/6*c**3 - 1\/24*c**4 + 0 + 0*c. Let u be o(-5). Solve 2*r + u*v + 18 = 0, 5*r + 0*r - 3*v = -6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 12*r - 1. Let k be s(-11). Let l(g) = -12*g - g**2 - k*g + 19*g - 6*g. Let b(z) = z**2. Give l(b(q)).\nAnswer: -q**4 - 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-431)\/(-6)*(9 + 4 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 850277549*g + 527825885 wrt g?\nAnswer: 850277549","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1584) + 2 + sqrt(1584) + -1)**2 - ((sqrt(1584)*2*-6 + sqrt(1584))**2 + sqrt(1584))) - (0 + 1*(5 + sqrt(1584))*-5)**2.\nAnswer: -225552 - 2964*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + (1 + 0 - 0). Let x(a) = a**2 + 9*a - 87. Let p be x(-15). Suppose -p = w*b - 4*b. Solve -3*f + 6 = 2*n - 4, b*n - 4*f + 2 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2084760, 2084936, 2085112, 2085288, 2085464, 2085640?\n\"Answer: 176*q + 2084584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*v = 355308 - 367908 for v.\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 6344.\nAnswer: 19032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7816*d**3 + 3*d**2 + 12*d - 14. Is t(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 + -62. What is the units digit of (-124)\/5*(z + (-15)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -62*o - 5. What is the hundreds digit of s(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - ((2 - -5) + -6)) + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 3) in base 2?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57805 and 385.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 12 = -2*q, -2*i = -0*i - 4*q - 6. Suppose 5*h + 4*g = 15094 - 5605, 0 = -i*h + 5*g + 5723. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**5\/150 - 4*o**3\/15 - 3*o**2\/2 + 31*o. Let v(q) be the first derivative of d(q). Factor v(g).\nAnswer: 2*(g - 2)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -276 + 348. Let p = 527 + i. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3065*g**2. Let z(p) = -2*p**2. What is h(z(a))?\nAnswer: 12260*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37578323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 6*y - 6. Let b be i(4). Suppose -3 = -b*c + 1. Solve 2*z = -c + 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284298661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 7*i**2 - 7*i + 1. Let s be r(-5). What is the third biggest value in s, 0.3, -2\/11, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 6, -3, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x - 12*x - 396 = 0. What is k in 26*k**3 - x*k**2 + 24*k - 7*k**4 - 4*k**2 + 79*k**2 + 50*k**2 = 0?\nAnswer: -2, -2\/7, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8093 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a - 2. Suppose -5*n - 2 = 2*m, 2*m = 4*n - n + 14. Suppose -c - c = -m. Let f be d(c). Is -1 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = a - 6. Let v = 0 - 4. What are the prime factors of 7 + v\/6*a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**4 - 195*y**3 - 220*y**2 + 780*y + 800 = 0?\nAnswer: -2, -1, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 67, 114, 143, 154?\n\"Answer: -9*j**2 + 74*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 176702218 a multiple of 3228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -8. Let b = a - -7. Find the second derivative of 3*c**2 + 3*c**3 - b*c**2 + 5*c - 4*c wrt c.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 752737121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1411?\nAnswer: 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 + -42. Is -1\/30 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 499122.18 nanoseconds in hours?\nAnswer: 0.00000013864505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450) + 1 + -3 + sqrt(72))**2.\nAnswer: -84*sqrt(2) + 886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14593 (base 12) in base 2?\nAnswer: -110111100111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2. Suppose -5*u + 0 = -10. Let j(c) = c**u + 4*c**2 - 7*c**2. Determine j(y(w)).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 13*v**2 + 28*v + 21. Let z = -334 - -324. Is k(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54144.000026647 + -54144. What is d rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -975, 169, 2, 0, -3 in decreasing order.\nAnswer: 169, 5, 2, 0, -3, -4, -975","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407816 is divided by 33973?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 206 - 209 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -14*o**2 - 477*o - 36. Give a(-34).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 625 and 5856875?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h - 23057 + 26490 = -84753. What is the remainder when h is divided by 63?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*y**2 - 3211650*y - 1123213 wrt y?\nAnswer: -4*y - 3211650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*n = 160, -2*n + 5*n = -12. Suppose -4*u + 8*u = -k. Let y be -3 - (124\/u)\/4. Is y at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 3*v - v)*(-26 - 20 - 19*v**3 + 44).\nAnswer: -38*v**4 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*r + 30039 = -93*r - 79169. List the prime factors of r.\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -6*b**2 - 2*b + 3. Differentiate m(y) wrt y.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/3 (b) 2\/8289 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3615 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 4*r + 12, 8*r - 13 = w - 37 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4277 - -30.4277. Let j = -2 - -2.1. What is the third biggest value in -4, j, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/28)\/((-10)\/(-40)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -76186, -73585, -70982, -68377, -65770, -63161, -60550?\n\"Answer: v**2 + 2598*v - 78785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 4 (c) -20 (d) -2\/7 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 3*z + 1. Let d be x(-2). Let n(l) = -9*l + 10*l**2 - 5 - d*l**2 - 8*l**2. Let m be n(-8). Solve -7*i = -m*i + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -9*u**2 + 10*u - 4. Let k(x) = -19*x**2 + 21*x - 9. Let b(l) = -13*a(l) + 6*k(l). Let h be b(2). Solve 5 = 3*o + t - 0, 5*o = -h*t + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 906477461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-80)*(-15)\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135767 to the power of 1\/2, to the nearest integer?\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6485872mg in kilograms?\nAnswer: 0.0000006485872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14779140 is divided by 5280.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 k when three letters picked without replacement from {n: 14, k: 5}.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -79.73 + 4.13. Let a = -75.600000441 - j. What is a rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(84) - (-6*-1*sqrt(84) - sqrt(84) - sqrt(84))) + sqrt(84))*6)\/((sqrt(1728)*-1*1 - sqrt(1728))*3).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3623031430 to the power of 1\/4, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-254)\/(-7) + 363\/77 + -5. Let q be (10\/(-35))\/(0 + b\/(-28)). Factor -2\/9*o**5 - 2\/3*o**3 + 0*o - 2\/3*o**4 - q*o**2 + 0.\nAnswer: -2*o**2*(o + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t - 3*t**2 + t)*(-1 + 0 + 3)*(4 + 3 - 5)*(2 - 6 + 3) in the form h*t**2 + p*t + l and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8228896 is divided by 873?\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4572 is divided by 104?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 8\/17, -16?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30953 + -30742. Calculate the remainder when s is divided by 108.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 217 - 95. Let s = -114 + c. Suppose -32 = -4*m - l, -l - s = -m + l. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1631933 and 1631928 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 1. Suppose 27 = -q*f + 95. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8*(34\/4)\/(-1). Suppose w - 168*g = -165*g + 77, -3*g = -2*w + 148. Let b = x + w. Solve b*a = 10 + 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q - 6. Let c(d) be the first derivative of 4*d**3\/3 + 65. What is c(k(v))?\nAnswer: 64*v**2 - 192*v + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/30)\/((-76)\/(-20))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -322767003637 and -0.2.\nAnswer: -322767003637.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**3\/3 - 2*z**2 + 24. Determine a(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-51)\/(-21)) + (14 - (-396)\/(-28))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12.3 + 5.3. Let l = -6.752 - x. Round l to 2 decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i - 11. Let g be v(-9). Suppose 37 = u + 4*u - 3*r, -3*u - 2*r = -g. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, -3\/4, -1\/3, -0.3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 2*s**2 + 2*s + 1. Let k be g(-1). Let q = 5 - k. Calculate the least common multiple of -2*-2*11\/4 and q.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/17 (b) -5 (c) 0.11 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*g + 86 - 126 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*s - 15124 = -141*s - 99*s for s.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 255488 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -4 - 7 - 9*o + 4 + 9*o**2 - 5. Is q(11) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -357 - -1135?\nAnswer: aab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -2 (c) -65\/6 (d) -3 (e) 4 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 12 (b) -3 (c) 1\/2 (d) -29\/2 (e) 2 (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -194*f**2*s**4 + 2*f**2 + f*s + 4*f - 3*s**4 + 123 wrt s.\nAnswer: -776*f**2*s**3 + f - 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.2, 32, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**5\/420 + 29*l**4\/168 + 31*l**3\/21 - 7*l**2 + 37*l. Find a, given that w(a) = 0.\nAnswer: -2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -390624192 divided by 96881\nAnswer: -4032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36995099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*h = -11 - 42, -2*b = 2*h - 48. Suppose 0 = 4*r + b - 61. Suppose -13*k + r*k + 56 = 0. What is the remainder when 27 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w**2 - 9*w**2 + 13*w**2)*(3*w - 5*w + 3*w).\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1378187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99346?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**8\/6720 - m**7\/840 + m**6\/720 + m**5\/120 + 5*m**4\/24 + 5*m**2. Let f(w) be the second derivative of u(w). Give f(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-24)\/(-504) + 5\/(70\/822)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*t**3 - 9*t**2 - 5 wrt t?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85*a**2 - 131*a**2 - 8*a**4 + 8*a**4 + 36*a**6 wrt a.\nAnswer: 4320*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00318519544 to six decimal places.\nAnswer: 0.003185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -608\/13*u - 2\/13*u**2 - 1208\/13.\nAnswer: -2*(u + 2)*(u + 302)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**2\/2 - 8330019*r - 16660039\/2 = 0.\nAnswer: -1, 16660039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (11\/(-2))\/((-5)\/35) and 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 27.77. Let r = d - 0.77. Suppose -v = -4*v - 12. Which is the second smallest value? (a) v (b) r (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 11*m + 6. Let y be l(-11). Suppose n = -y + 17. Let k = n + 14. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 11) + (-1 - 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - t - 4)*(-2*t**2 + 2*t - 1 - 2*t + 2*t) + (3642*t**3 + 4396*t**3 - 1053*t**3)*(1 + 2 - 4) to j*t**3 + b*t**2 + k*t + v and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 8\/12)*((-89 - -53) + 24).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 16*w**2 - 198*w - 9. Let p(f) = f**2 + 23*f + 1. Calculate -2*n(g) - 18*p(g).\nAnswer: -50*g**2 - 18*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 16*f**2 - 263*f + 39. What is the tens digit of a(-42)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -799 + 16*g**3 - 2*g**3 + 804.\nAnswer: 14*g**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/3 (b) 2 (c) -0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 6*a - 3. Let y be z(-4). Let i = y - -70. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 - r - 11. Give a(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14*-0.296\nAnswer: -4.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x*x**(-3)))*x*x\/(x*x\/x**(-3\/5))*x)\/(x\/(x**1*x))**(-2\/15))\/((x*x**(1\/3))**(-41)\/((x\/x**4)\/(x**5\/x))) assuming x is positive.\nAnswer: x**(689\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1063.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3 - 48 - 18*i + 15 wrt i.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18, 607, 1572, 2901, 4582, 6603?\n\"Answer: -2*j**3 + 200*j**2 + 3*j - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 131, 128, 125, 122?\n\"Answer: -3*c + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o - 3. Let h = -1146 - 234. Let w = -1379.5 - h. What is the nearest to 2\/87 in -3\/7, w, o?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-216*s**2 + 53*s**2 - 200*s**2)*(0 + 2 + 1)*(0 + 1 + 2) to the form c + m*s + j*s**2 and give j.\nAnswer: -3267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3*-10809212\nAnswer: -32427636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2032 is divided by 204?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvmvvmmvvvvmvvv. Give prob of picking 4 v.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**2\/7 - 317*o\/7 - 3270\/7 = 0.\nAnswer: -10, 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1 = -10. Let u be 140\/30 - 1\/(-3). Sort d, u, -0.4 in descending order.\nAnswer: u, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 500000\/15)\/(2\/768). Round b to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-207)\/(-9) - (0 - 0). Let w = j - -3. What is the remainder when 98 is divided by w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*w + 21*w + 22385 = 28*w for w.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 549520609880 - 549520609880 - 4*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5038253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -28*r**2 + 251*r - 442. Calculate d(2).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26263458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 1 - (-4 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1069 + 1068.467. Let r = 0.203 + g. What is r rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from dqrqr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 241114 and 4.\nAnswer: 241118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5808.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8483, 8723, 9121, 9677?\nAnswer: 10391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q - 4. Let n(i) be the third derivative of -i**4\/6 - i**3\/2 + 4*i**2. What is -6*n(d) + 5*u(d)?\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 11*c + 13. Let s be n(10). Solve 1 = -5*v + 2*l - 2, 1 = -s*v + l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*q + 4*q. Solve -t + q - 10 = -2*c, 0 = 5*c - t - 22 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4028\/5 (b) 80.2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*y - 4 = 0, 5*a - 3*y - 19 = 33. Suppose 4*c + 2*i = 124, a*c = 3*c - 3*i + 156. Is c at least 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*y + 5*z, 0 = 4*y - y - z - 8. Put 11, -1, -5, y in descending order.\nAnswer: 11, y, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 25*t - 8. Let s(n) = 8*n - 3. Calculate -8*s(u) + 3*w(u).\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2865.76 or 3\/65?\nAnswer: 2865.76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -184.\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 38.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 95*l + 1292. Determine z(-16).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 30, 2, -44, -108?\n\"Answer: -9*h**2 - h + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-152)\/266)\/(8\/(-7) + 0 - -2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93123 is divided by 5173.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 10*r + 7. Calculate w(-6).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*m**3 - 112*m**3 + 199*m**3.\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = a, -4*a = 2*v + 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -742*d + 18979 + 46298 = 1641*d + 10468 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 617 - 616.217. Let x = w + 0.227. Let z = -0.01 + x. Put 5, 3\/2, z in ascending order.\nAnswer: z, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136756421 and 623.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*j = -10 + 1, h - 2*j + 7 = 0. Let b be 8\/((-1 + -1)*h). Which is greater: b or 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/14*(-10 + 9). Let c = 0.71 - 0.35. Let x = c + -0.46. Sort -1\/5, x, f in decreasing order.\nAnswer: f, x, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 6:52 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 times -169.2?\nAnswer: 3722.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.855 + 327.145. Put k, 4, -0.8 in ascending order.\nAnswer: -0.8, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5718\/7 <= 816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*p = -9, 2*r + 5*p = 9*p - 12. Suppose -4*b + 9*t - 14*t + 600 = r, -t - 286 = -2*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-13 + 3) + 2. Let p be (5\/(-4))\/(h\/288). Suppose -9 = -2*w + p. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**2. Let s(j) = -73*j + 2. Determine q(s(d)).\nAnswer: -15987*d**2 + 876*d - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 817 + -826. Sort -4, c, -3.\nAnswer: c, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 20 = 2. Let y be 6\/t + -7 + 14. Solve 1 = y*o + 2*q - 5, 3*o - 4*q = 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10*((-14)\/(-10) + -1). What is the derivative of -1 + 9*j**4 + 5 - 14 - g wrt j?\nAnswer: 36*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 7)\/(-9) + 4\/(-24). Sort j, 2\/5, 4 in increasing order.\nAnswer: j, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-1 - -2) - (7 + 10).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*f**3 - f**3 + 17*f**3 + 8*f**3.\nAnswer: 10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/4, -158\/5, -8 in descending order.\nAnswer: -13\/4, -8, -158\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13589 is divided by 1859.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -342 + -230043?\nAnswer: -230440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/2143, 0, -2\/7, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.209 rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -879 by 10507.\nAnswer: -879\/10507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**3 + 1859*f - 3928*f + 2069*f.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 + -5 + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - 2 - 3\/9. Let j = -30.055 + -1.945. Which is the smallest value? (a) r (b) j (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8688 + 4340 + 115*b - 329*b + 110*b + 107*b + 4348.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/3 (b) -2 (c) 51 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(2) + sqrt(216)\/sqrt(12))**2 - sqrt(2)).\nAnswer: -128 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64825658 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -5\/656?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23634 is divided by 1477.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4391*k + 4394*k - 38 = 5*p, -p = 4*k - 20 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 22*b**2 - 224*b + 10. Let a be g(10). Suppose 2*j - 168 = -2*j. Let x = a + j. Solve -n + 2*h = -2*h - x, 2*n + 2*h = -6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31.9 - 32. Which is the nearest to -1? (a) 0.5 (b) m (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2455 + 40*m**2 - 876*m**2 + 2455 - 966*m**2.\nAnswer: -1802*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -5*s + 18*s. Let o(b) be the third derivative of s - 1\/6*b**3 - 1\/160*b**6 + 5*b**2 - 1\/6*b**4 - 13\/240*b**5 + 0*b. Factor o(f).\nAnswer: -(f + 2)**2*(3*f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -1 - (14 - 15 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2989267, 2989206, 2989147, 2989090, 2989035?\n\"Answer: q**2 - 64*q + 2989330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-33)\/((-9)\/(-3)). Suppose -4*g + 13 = -z. Is 14 a factor of (-68)\/g*(-6)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 701 - -1694. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4*t**4 + 360*t**3 - 368*t**2 - 328*t + 388. Let o(q) = q**4 + 120*q**3 - 122*q**2 - 108*q + 130. Let b(d) = 8*o(d) - 3*x(d). Factor b(c).\nAnswer: -4*(c - 1)**2*(c + 1)*(c + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9744608*i**2*p - 3*i**2 + 68406*i wrt p?\nAnswer: -9744608*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12\/11 (b) 2.2 (c) -2\/7 (d) 0 (e) -115 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4424380, -2, 8, 0 in increasing order.\nAnswer: -4424380, -2, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.2609293 decades?\nAnswer: 2.609293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**2 + 636*t + 50562 = 0?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*p**4 - 46*p**4 - 8 + 21*p**4 + 2*p**4 + 69*p**3 + 3*p to q*p**2 + h*p**3 + z + b*p + t*p**4 and give h.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4711 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1183062.\nAnswer: 2, 3, 269, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 9*j. Let y(i) = 8*i. Let f(o) = 3*o. Let d(m) = -9*f(m) + 4*y(m). What is h(d(q))?\nAnswer: 45*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -25*y**2. Let i(n) = -195764*n. Calculate i(p(r)).\nAnswer: 4894100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.2 (b) 371 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (14\/(-2))\/(2\/(-6)). What is the remainder when 61 is divided by -2 + -3 + c\/1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 10*n + 78. Let s be f(-23). Let h = -5 - s. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 - -0.2. Let k = -76 - -382\/5. Suppose -6*h = 8 - 2. What is the biggest value in k, h, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + r. Let c(p) = 0*p**2 + 0*p + 6*p**2 + 0*p - 6*p. Let u(w) = -w**2 - w + 2. Let s be u(-4). Let z = -11 - s. Determine z*c(j) - 5*t(j).\nAnswer: -j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2516*a - 2516*a + 13*a**3.\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 6400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 18468 = 3*j, 2*s - 4458 = -5*j + 2923. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/5 of a day?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 449*i + 32777. Give x(-74).\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -8*l - 93. Determine u(-6).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a**2 - 18*a + 2. Let w(u) = 38*u**2 - 89*u + 11. Calculate 11*n(x) - 2*w(x).\nAnswer: x**2 - 20*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1125357 is divided by 1125350?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 1934\nAnswer: -1927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21504.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5017694 to the power of 1\/2, to the nearest integer?\nAnswer: 2240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -121212 (base 3) to base 9\nAnswer: -555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*g**2 - 3*g**2 - 15*g - 3*g wrt g.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + l**2 + l + 1. Let n(g) = -2*g**3 + 6*g**2 + 6*g + 6. Let p = 36 - 42. Determine p*o(f) + n(f).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + ((sqrt(360)\/(sqrt(36)\/sqrt(4)))\/sqrt(8)*-3*-6)**2).\nAnswer: -6460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21882 is divided by 69?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*t - 5*t = -510, -3*j + 3*t + 753 = 0. Solve 0 = 260*o - j*o - 28 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/41 in -0.3, 2, -20, -8\/3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1913, 7697, 17343, 30851?\n\"Answer: 1931*q**2 - 9*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12.7 and 57078663505.\nAnswer: 57078663492.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.046 - -24.954. Let l = j + -24.9999885. Round l to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 1. Let v(k) = -480*k - 12. Let n(q) = 396*q + 11. Let h(a) = 6*n(a) + 5*v(a). What is h(b) + 6*w(b)?\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -48*y - 787. What is the remainder when 663 is divided by q(-17)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r + 6 - 44 - 4*r.\nAnswer: 3*r - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 6449195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1208 plus -2331.91931?\nAnswer: -1123.91931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 217?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*q + 91*q - 594 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + c49?\nAnswer: c4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75284 and 20119.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 60 = 4*z. Solve 0 = -t - t - z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/98318 and 89\/14.\nAnswer: 688226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1113292 and -27?\nAnswer: 1113319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f\/((((f*f\/f**(-2\/11))\/f)\/f)\/f)*f*f**2\/f*(f**(-2\/5))**30 assuming f is positive.\nAnswer: f**(-79\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10\/3 + 5 + 192\/(-36)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -226 + 652623?\nAnswer: 652364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n - 2. Let a be 4\/(-10) + 8\/(-5). Let b(d) = -d**2 + d. Give a*b(j) - t(j).\nAnswer: 2*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 150. Let v be n(0). Suppose 8*i = 29*i + 756. Let u be (-9 - (-91)\/14)*i\/3. Calculate the greatest common divisor of u and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(77)\/sqrt(7) - sqrt(11)) + 3*sqrt(11) + -1)*-5)**2.\nAnswer: -150*sqrt(11) + 2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 55441887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 10:14 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 164, 405, 752?\nAnswer: 1205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.36 rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.1, 2\/453, 3\/4, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + b - 10 = 6*b, -b + 3 = 0. Let d be (-2)\/5 + 27\/y. Solve -4*k = 5*t + 25, 3*k - 2*k - d = t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41 - n - 79 + 39 + (4 - 4 - n)*(-6 + 0 + 3).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2495 - -2528) + (-4775)\/(-290)*-2.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70 smaller than -29679\/428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 16*p + 56, -408*p - 65 = -4*f - 403*p + 24 for f.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 2\/5685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 39 = 5*u, -3*u = g - 0*g - 21. Let l be 3 - 12\/(-2 + u). Factor 4\/3*a**3 + 0*a**2 - 14\/3*a**4 + l + 0*a + 10\/3*a**5.\nAnswer: 2*a**3*(a - 1)*(5*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -103 - 450?\nAnswer: -553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -796 + 806. What is the smallest common multiple of 30 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/((-8)\/3500*-7). Let o = 880 + h. Solve -q - o = 4*j - 3, 4*q = -2*j - 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37211\/29235 - 12\/1949. Find the common denominator of -79\/705 and b.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -223*x**2 - 62662*x + 280. Calculate j(-281).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 0.06 (c) -1\/5 (d) -0.1 (e) -164 (f) -2.91 (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 11*a**2 + 12*a + 2. Let c be b(12). Suppose c*j + 3*j + 20 = 0. Calculate the common denominator of -69\/8 and ((-4)\/(-6))\/(((-32)\/(-582))\/j).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -118911*s*t**2*z**2 - 4*s*t*z**2 - 47639*t**2*z**2 - 2*t*z**2 with respect to s.\nAnswer: -118911*t**2*z**2 - 4*t*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1\/2)*t)**(-8\/13)\/(t**0)**(-6\/37) assuming t is positive.\nAnswer: t**(-20\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 3*y**3 + 2*y + 22 - 66 + 6*y + 27 to the form s*y**3 + n*y + k + g*y**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -5, -7, 4, 1 in increasing order.\nAnswer: -14, -7, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-2 - (-16 + 4))) + (-8 - -8) + -17?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -389*m + 9331. Determine w(24).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Let d = h - -5. Suppose 79 = -r + 2*r + d*k, -199 = -3*r + 4*k. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160093 is divided by 209?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2024161 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 537870 and 870?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - 1) + (-62 - -39 - -21)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 29*z**2 - 3*z + 3. Let b(m) = -2002*m**2 + 208*m - 208. Give 3*b(n) + 208*x(n).\nAnswer: 26*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16185 is divided by 598.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 6253\/89380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -904*r + 19719 = -12825 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -74*y + 0 + 82*y + 5. What are the prime factors of c(7)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1909840 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 3061510728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1601 - 1587. What is the fourth biggest value in 3, o, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 12*d. Let z(n) = -308*n - 55. Suppose -582 = 12*v + 78. Let g(w) = -17*w - 3. Let f(p) = v*g(p) + 3*z(p). Give f(b(h)).\nAnswer: 132*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17705934559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64*g**6 - 26*g**5 - 16*g**4 + 1167079*g**2 - g.\nAnswer: -7680*g**3 - 1560*g**2 - 384*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -21925195 divided by 4385039\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -5, -2\/7, 62\/11, -3\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*b = 29, r + b + 2 - 7 = 0. Let z(a) = a**3 - 7*a**2 + 7*a + 12. Does 6 divide z(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-5)\/50*(-6)\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g - 22. Give x(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + -3 + 136\/20)\/((-8)\/(-20)) - 11\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41498 is divided by 200.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, 11278, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/30 and -47\/205?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 41822, 42055, 42444, 42989?\n\"Answer: 78*h**2 - h + 41745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -294072181, -294072179, -294072177, -294072175, -294072173, -294072171?\n\"Answer: 2*q - 294072183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 188744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*l - 2 = 7, 4*l - 41 = -5*j. Let q = j - 1. Find the common denominator of 715\/315 + q\/14 and -45\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -761, -1345, -2313, -3665, -5401, -7521?\nAnswer: -10025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0815 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(391*c + 461*c - 483*c) - 2*c + 3 - 3.\nAnswer: -1109*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 280.2 - 254. Let f = h + -28. Let i = f + -4. What is i rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -629*a + 12501 + 64723 + 39141. Suppose -3*b - 5*o - 1 + 15 = 0, 4*b + 3*o - 15 = 0. What is the remainder when a is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 5902.\nAnswer: -3\/5902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 78765390.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 + 67. Suppose -v - 3*v = -16. Suppose -2*p = -v*p + 3*n + 16, -4*n - 6 = z*p. Calculate the greatest common divisor of 10 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) + 6*(sqrt(150) - sqrt(150)*1))\/sqrt(3) - 1*3*(sqrt(50) + -1))**2 + 1.\nAnswer: -60*sqrt(2) + 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 35 = -1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 14*b + 27. Let u(k) = -3*k - 6. Let q be 8\/(-28) - 26\/7. Calculate the smallest common multiple of y(15) and u(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiyiiiiiiiiiiii. Give prob of picking 2 i.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 81 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.377 - -5.387. Which is the second biggest value? (a) -5 (b) -2 (c) q (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 15\/265156 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 2*i + 2. Let m be n(0). Is m not equal to 7\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-27) - 2)\/((1028\/(-1799))\/(16\/14)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -0.7670067\nAnswer: -0.2329933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*j**6 - 11*j**6 - 389 + 380 - 12*j**2 - 207*j**4 wrt j.\nAnswer: 360*j**3 - 4968*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 + -23. Let f = -16 + 14. What is the least common multiple of f\/9 - 148\/(-18) and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s. Let y(u) be the second derivative of -u**4\/6 + 9*u - 2. Determine y(a(z)).\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.68*-1401.34\nAnswer: 2354.2512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + ((sqrt(171) + sqrt(171)*2 + sqrt(171))*5)\/sqrt(9).\nAnswer: 1 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 10*w - 243. Determine r(25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 22. Let s be (1*-5)\/(p\/414). Let q be s\/15 - (-3)\/(-9). Let a(z) = -z**2 - 10*z - 8. Give a(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 139 by 482663.\nAnswer: 139\/482663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2) + 1)*2. Suppose -n*v - 43 = j, 0*j + 5*j - 40 = 2*v. Let h = 44\/3 + v. Which is the biggest value? (a) -3 (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77 - 1391. What is a rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -45663 (base 14) to base 9.\nAnswer: -276305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(153)*2 - 2*sqrt(153)*2)**2 + ((sqrt(153) + -2)*3 + sqrt(153) + 1)**2.\nAnswer: -60*sqrt(17) + 3110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 4 - 3 - 4 + 0 + 2*q.\nAnswer: 2*q - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 130865\/55596 + -280\/123. What is the common denominator of x and 113\/48?\nAnswer: 5424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + -78 + 32 + 29?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -14*l**2 + 29. Let z(a) = -18*a + 8. Let h(s) = 62*s - 28. Let d(q) = 2*h(q) + 7*z(q). Calculate u(d(i)).\nAnswer: -56*i**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*c - 130*c + 263*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3\/5, 2.2, 0.52472.\nAnswer: 0.52472, 3\/5, 2.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1300, -3622, -7026, -11512, -17080?\n\"Answer: -541*h**2 - 699*h - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 724.4 - 724. What is the smallest value in 3, -1, 22, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (-2 + sqrt(1331) + -1)*-5 + -3 + -3)*-6)**2.\nAnswer: -27720*sqrt(11) + 1199664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -22*j + 9. Is x(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4216523\/94 + 44856. What is the common denominator of a and 48\/517?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.89 + -3. Let l = 398.4 + -403.4. Let w = 0.09 - -4.91. Which is the fourth biggest value? (a) u (b) w (c) -1 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54851033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4 (b) -2\/5 (c) 0.1 (d) -8 (e) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 10*g + 9*g**2 - g**2 - 41 + 0*g - 5*g**2. Is c(5) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*v = -4*v + 6, 0 = c - 5*v + 8. Suppose c*t - 108 = -t. Let x = 1636 - 1632. Calculate the highest common factor of t and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*a - 6*a - 42*a)*(2 + 4 - 1) + (1 - 2 + 2)*(-2*a + 6*a - 3*a) + 3 - 2*a - 3 + 2 - 2 - a + 0*a + a + 0*a + 0 - 3 - a + 1.\nAnswer: -122*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2. Let u(c) = -7*c + 57. Let k(o) = -11*o + 86. Let n(v) = -5*k(v) + 8*u(v). Give n(s(p)).\nAnswer: p**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08 + -159141248.358.\nAnswer: -159141248.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14268 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + 3*s + 5. Let a(l) = -l**2 - l - 2. Suppose -149*t + 155*t = 24. What is t*v(i) + 10*a(i)?\nAnswer: -2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11869398?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 2*i - 36*r - 7*r = -38*r - 18, -3*i = 4*r - 6 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**2 + 15*b - 1. Suppose 2*v + w + 18 = 5*w, 0 = 5*v - 5*w + 40. Let x(j) = -2*j**2 + 8*j - 1. Let q(n) = v*x(n) + 4*a(n). Calculate q(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-16)*u)**15\/(u**5)**17 assuming u is positive.\nAnswer: u**185","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 22*a**5\/5 - a**3\/3 + 55*a**2 + 24*a + 1. Find the second derivative of b(j) wrt j.\nAnswer: 528*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2798477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((325\/10)\/13)\/(30\/8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9824\/11 + -892. Let f be (12\/(-14))\/(660\/560*-4). What is h in 0 - x*h + f*h**2 = 0?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*k + 41*k - 66*k - 8789731 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11724 by 6.\nAnswer: 1954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 2. Let m be w(-4). Let x(r) = -r**3 + 6*r**2 + 2. Let j be x(6). Let c(q) = -q + j*q + m*q. Let y(g) = g. What is c(y(k))?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 3*i = 11, -5*d + 5*i = -8417 + 8432 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 326695860*l + 13341273117642450.\nAnswer: 2*(l - 81673965)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/4*((-4)\/(-40))\/(4\/(-12))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, p: 4, y: 2}. Give prob of sequence pp.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1231 - -32?\nAnswer: -1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 102976771039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**2 - 75733008*o + 358468031295504 = 0.\nAnswer: 9466626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5373744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 2 + 16)*(-6*x + 13*x + 6*x).\nAnswer: 286*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 7:29 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -23*k + 36. Let g(u) = 27*u - 33. Calculate -7*b(l) - 6*g(l).\nAnswer: -l - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -51*l + 595. Give t(11).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-6) - (-539)\/(-21). Suppose s = -4*s - 10. Let h be (2 + o\/14)*s. Sort 1\/2, h, -3 in decreasing order.\nAnswer: 1\/2, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 4)*916\/(-342) + (-45560)\/5695?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30356, -71\/6, -5, -0.1 in ascending order.\nAnswer: -30356, -71\/6, -5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3834, -7668, -11502, -15336, -19170, -23004?\nAnswer: -26838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 3*w + 0*w**2 - 4 + 0*w**3 + 3\/5*w**5 + 0*w**4. Differentiate t(k) wrt k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 13353015 = 3*o, 58*o - 4*g = 53*o - 22255012. Round o to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**6\/300 - 43*j**5\/50 + 87*j**4\/20 - 131*j**3\/15 - j**2 + 55. Solve m(o) = 0 for o.\nAnswer: -131, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p = -p - 26. Suppose 2*g = -t + 62, -3*t - 62 = -0*g - p*g. Solve -28 = -u - g for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 502 by -2.\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 94 and 1128?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**3 + x + 3*x**4 - x**4 + x**2 + 5*x**3 as k*x**2 + n*x**3 + v + d*x + c*x**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319575 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -2*i - 2\/3*i**3 + 0*i**2 + 0 + 1\/12*i**4. Give o(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**2 - 4*z + 6. Suppose 3*c + 3*o - 44 = -53, -2*c + 30 = -4*o. Give d(c).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14622 is divided by 4719?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -140 - -132. Let o be ((-27)\/(-6))\/1 + h\/16. Suppose 5*g - 4 - 11 = 0, 5*a + 3*g - 34 = 0. Solve -o*j + 21 = -0*w + 3*w, -a*j + 27 = 4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 3*w**3 + 7*w**3 + 3 - 9*w**3 + w - 2*w**2. Determine y(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0 (c) 5912\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(((c*c\/c**(5\/7))\/c)\/c)*c)\/c)\/(c**40\/c)*c**(-23)*c**(-28)\/c)**(-32) assuming c is positive.\nAnswer: c**(20000\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 11:44 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443737 is divided by 2703?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a**4 + 7*a**5 + 5*a**5 - 9*a**5 + a + (a**3 + a**3 - 3*a**3)*(-1 + 1 + 2*a**2).\nAnswer: a**5 - 6*a**4 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -9*n - 9*n + 15*n. Let k(a) = -10*a. What is o(k(w))?\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, f: 7, j: 8, o: 3}. Give prob of picking 4 f.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-5 + 9 + -13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1594396 greater than -1594382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(96\/78))\/((379\/22740)\/((-1)\/(-3)))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24.21 - 29.21. Let g = 365\/323 + -21\/17. Which is the second smallest value? (a) d (b) g (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1677 is divided by 1677?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**4\/2 - 363*y**3\/2 + 3194*y**2 - 13680*y = 0.\nAnswer: -380, 0, 8, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 13*n**2 + 5*n + 5. Let u(j) be the first derivative of -245 - j - 1\/3*j**3 - 1\/2*j**2. Give -k(c) - 5*u(c).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**1*w)**(-28))**(9\/8)*((w*w**(-1))**6)**(-3\/28) assuming w is positive.\nAnswer: w**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 10:11 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 63?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f\/f**(-1\/6)))*f**17)\/((f*(f\/f**(4\/5))\/f*f*f)\/(f**3*f)))**(-6) assuming f is positive.\nAnswer: f**(-599\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/24 + ((-506)\/8 - 0). Let v = -835 - -831. What is the third smallest value in v, 4, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 43?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -57, -0.08, -2.4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2375225 minus 2?\nAnswer: 2375223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 329178\/49 > 6717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1931*i**2 + 38*i + 12. Let u(a) = -2897*a**2 - 57*a - 18. Let c(g) = -7*o(g) - 5*u(g). Let q be c(14). What is q rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4))\/((-1)\/2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 386 + -454. Let k = i - -256. Is k a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 14. Suppose 0*u + 18 = n*u. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 6133352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -20*b - 303. Let a be g(-16). Let l be 7\/(-14) - (-818)\/4. Suppose 0*z + l = 4*z. Calculate the greatest common factor of a and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9023.631 - 9017. Let k = 3.565 - a. Let o = -0.066 - k. What is the nearest to o in -1\/11, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -27158*c - 2. Let a be f(-19). What is a rounded to the nearest 10000?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 11:52 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20\/4727 in -1\/10, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 238*c*i**3 - 860*c + i**2 wrt i?\nAnswer: 714*c*i**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 134528 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**2 + c + c + 22*c**2 to r*c**2 + n + u*c and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3313568637795 and 0.13.\nAnswer: -3313568637794.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (207\/12)\/23*4\/2058. Let o = 197\/686 - g. Which is the nearest to 0? (a) -3\/7 (b) 1\/4 (c) 0.5 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 take away 1310.713?\nAnswer: -1369.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 186087.2.\nAnswer: 744348.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -946*h**2 + 475*h**2 + 478*h**2.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**4 + 0*s - 9*s**2 + 0*s**5 + 0 + 0*s**6 + 0*s**7 + 0*s**3 - 5\/168*s**8. Find the second derivative of o(l) wrt l.\nAnswer: -200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 3*p + 103, p = -5 - 0. What is the least common multiple of 14 and a?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.01 + 188.\nAnswer: 187.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/43 (b) -6 (c) -0.3 (d) 0 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -205 + 208. Suppose -9*l + a*d = -6*l - 15, 2*l - 14 = 4*d. Calculate the smallest common multiple of l and -2 - -2 - 0 - -7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.4 - 5.6. Let w = k + 26.2. Let i = 3 + w. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 3*l + 2, 58 = -g - 2*g - 4*l. Sort -2, g, -5.\nAnswer: g, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) 3 (b) -14.6 (c) -0.5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 27. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36672732?\nAnswer: 2, 3, 197, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (162 + -156)*2\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 43\/4 (b) 0.3 (c) 2 (d) 2\/15 (e) 0.6 (f) 19\/63\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3532.241 plus 16262906?\nAnswer: 16259373.759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, o: 11}. Give prob of picking 1 o and 2 i.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79168 is divided by 5274.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -226185*d**2 - 77661*d.\nAnswer: -452370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -35 less than or equal to -9.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one quarters of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 10*j + 15. Let u(w) = 4*w - 18. Let l be u(7). What is the remainder when 56 is divided by r(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.973413 rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 145587 + 145605 for j.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*2)**2*-1.\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + i**2 - 4*i - 3. Let s be z(0). Is 8 a factor of (-1)\/(890\/(-295) - s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 308027*0.226\nAnswer: 69614.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b + -12?\nAnswer: -3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -330*g - 116 + 4*g**3 + 1317 - g**3 + 1226.\nAnswer: 3*g**3 - 330*g + 2427","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 36\/(-10)*(-20)\/4. Let s be (33\/6 + 0)*z. Round s to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 2*t - 7*t)*(-t - 2*t + 4*t + (2*t - t - 2*t)*(0 - 5 + 3) - 90 - 23*t + 90).\nAnswer: 140*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141629657 and 1966.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 152?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - -4 - (-3 - -5). Let n(s) = s**3 - 2*s**2 - 2*s - 1. Let a be n(3). Find the second derivative of -d - a*d**5 + 4*d**5 - 8*d**g wrt d.\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 860684 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*g - 1 + 0 - 2)*(-4*g**4 + 0*g**4 + 0*g**4).\nAnswer: 44*g**5 + 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 - 4 + 29*y**2 + 24*y**2 as l*y + h*y**2 + q and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 + 37*t**2 - t**3 + 3*t - 35*t**2 + (2*t + 3 - 3)*(0 + 0 - 3*t**2).\nAnswer: -8*t**3 + 2*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -492832343, -492832342, -492832341, -492832340, -492832339?\n\"Answer: g - 492832344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.99 + -6.5. Let a = -0.61 - t. Is a not equal to -0.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/13 (b) 0 (c) -2\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/24*14)\/((-7)\/210). Suppose 35 = 3*k - 10. What is the highest common divisor of x and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -64*d + 6. Let q be c(-5). Suppose 1431 - q = 5*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -10*c - 2. Suppose -3*d = -7*d + 2*y - 10, -3*d - 3*y = -15. Suppose -3*t = 6 - d. Let f be r(t). Calculate the highest common divisor of f and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhddhddhdh. What is prob of picking 1 h and 1 d?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 338, 795, 1396, 2141, 3030, 4063?\n\"Answer: 72*z**2 + 241*z + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2534 and 2\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 40.9 (b) 0 (c) -2\/3 (d) 1\/2 (e) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 24*t**5 + 1508*t**4 - 15900*t**3 - 3440*t**2 + 63216*t - 10368 = 0?\nAnswer: -72, -2, 1\/6, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/184982 and -113\/5430?\nAnswer: 2774730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**43*l*l*l**4 assuming l is positive.\nAnswer: l**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6 - -7) + (1 - -6) + 9241.\nAnswer: 3, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -966*b - 25470 = 627*b - 465*b + 287*b for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) + 2)**2 + 4 + 4 + 3)*-3.\nAnswer: -8253 - 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 69119, 138391, 207673, 276965?\n\"Answer: 5*a**2 + 69257*a - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from fpywiziziipziiiypp.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by -5?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/354577272 and -131\/37990422.\nAnswer: 1063731816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + 1 + (sqrt(21)\/sqrt(3) + 2)**2 + 4*-1*sqrt(28).\nAnswer: -4*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)*c)**(-2\/41)\/(c\/c**(4\/9)*c**7) assuming c is positive.\nAnswer: c**(-2770\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*j + 2*d, -3*d = -3*j - j + 5. Suppose j*l = 23*l - 72. Suppose l*w - 4*a + 6*a = 154, -3*a + 9 = 0. Is 1 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3467 - 46.4533. What is i rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 768 is divided by 191.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**2 + 0*g**2 + 116*g - 2*g**4 + 3*g**4 + 0*g**2 - 3*g**3 - 114*g + g**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41273 to the power of 1\/2, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-70))\/((-4)\/(-16)*-2)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.44128 plus -0.11?\nAnswer: -0.55128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 23.105145 months?\nAnswer: 0.0192542875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.27 and -2648.\nAnswer: -2646.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + k - 1. Let p(m) = m**2 + 4*m + 6. Give -p(u) + 2*t(u).\nAnswer: -3*u**2 - 2*u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = o - 8. Let q be (132\/1001)\/(o\/(-15099)). Let m = -996 - q. Which is the second biggest value? (a) m (b) -1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.2 and 5.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-8 + 4\/2). Let x = 305111\/42 - 7265. Let r = x - -2\/7. Put r, 0, k in descending order.\nAnswer: k, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + l**3 - 1 + (-3*l + l + 3*l)*(3*l**2 + l**2 - 2*l**2))*(5 + 0 + 1)*(2*l - 2*l + 4*l) to s + b*l**3 + f*l**4 + n*l + o*l**2 and give f.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -6*1.4\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56 is divided by 30\/72*69 + 1\/4?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-6)\/(-55) - (-916)\/(-2290).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 15*h + 16. Let l(r) = -3*r + 17. Let j be l(4). What are the prime factors of c(j)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 33 + 0*z + z**2 + 0*z - z. Is j(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -677*y - 179440000 = -681*y. What is y rounded to the nearest 1000000?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -195.1 to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80 - -80.116. Let j = m - -2.884. Which is the biggest value? (a) -0.3 (b) -0.2 (c) 1 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnvvvvavvnn. Give prob of sequence an.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.77845021377 less than 5?\nAnswer: 32.77845021377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4\/8 - 6783*o**3\/8 - 1695*o**2\/2.\nAnswer: -3*o**2*(o + 1)*(o + 2260)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 0 - (0 + 2). Suppose -9 = -3*i - d. Suppose -4*o = s - 699, -i*o + 196 = -2*o - 4*s. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 16) in base 9?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(-t + t + 3*t**3) - 745*t**3 - 2577*t**3 - 1874*t**3.\nAnswer: -5199*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 1:59 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**2 - 4\/3*g**3 + 0 + 1\/20*g**5 + 1\/2*g**4 - g. Is l(-7) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 1)\/20*(5 + -4 + 3). Let o = 1.1 - 1. Sort -2\/15, k, 3, o in descending order.\nAnswer: 3, k, o, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 4. Let s(c) = 17*c**3 + 5*c**2 - 14. Let f(b) = 8*b**3 + 2*b**2 - 7. Let r(q) = j*s(q) - 5*f(q). Find the first derivative of r(m) wrt m.\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h**3 - 2*h**2 - 4*h - 14. Let q(s) = -6*s**3 + 3*s**2 + 5*s + 15. Determine 4*q(a) + 5*x(a).\nAnswer: a**3 + 2*a**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 4220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 8*c + 5*q + 7400005, 5*q + 5 = 0. Round c to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -450 * 6.9589.\nAnswer: -3131.505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 3*r + 8. Let l = 5025 + -5019. Give h(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 2*p**3 + 6*p - 6*p + 8*p**4 - 15*p**4 in the form l*p**4 + m + n*p**2 + i*p + q*p**3 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 5*z = 12. Suppose -z*x = 19 - 27. Suppose -6*a - 28 = -x*a. Is a != -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 bigger than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s - 1. Let z be w(3). Let q(g) = -g**2 + 5*g - 4. Let d be q(4). Suppose -3*i + d*c = -c, 17 = 5*i + 4*c. Sort z, i, -5 in ascending order.\nAnswer: -5, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**2 + 4*g + 3. Let d be w(-1). Let f = 12 + d. Calculate the remainder when 30 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 20*y + 48 - 102 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 + 20498026*r**2 - 245976528*r + 737929800.\nAnswer: 2*(r - 6)**2*(r + 10249025)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 - 123 = 33*o - 147 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 507*c - 1481. Determine n(-3).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010000100000011 (base 2) in base 16?\nAnswer: a103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 4. Let p be f\/3 - (-26)\/6. Let h = p + -4. Sort -3, 1, h.\nAnswer: -3, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 192*p**2 - 9*p + 1. Is r(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20895 is divided by 1491.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-217)\/(-28) + 6\/(-8) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28255 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1535572 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 5*s**2 - 16*s - 12. Let y = 40402 - 40395. Give t(y).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 0. Let r = 223\/35 - 44\/5. Are r and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g**5 - 67194555*g**4 + 501678668896032*g**3 - 1248521014232471971272*g**2 - 1248522519268814632176*g + 2497043031822684901968 = 0.\nAnswer: -2, 1, 7466062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -73, 5, 4, -10 in ascending order.\nAnswer: -73, -10, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 2, 5, -147, 1, 3, -5 in increasing order.\nAnswer: -147, -26, -5, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 822*(1 + -2)*135\/(-810). Solve 52*v - t = 123 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4}. Give prob of picking 3 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 54\/(-24) - (-2)\/8. List the prime factors of w + 1 + 2 + 22.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p - 2*p + 4*p - 4 + 3*p + 4 + (-1 + 1 - 2*p)*(-2 + 4 + 1).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 3) to base 15\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50 or -1098?\nAnswer: -1098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*u + 1318, -9*x + 7*x + 1320 = 2*u. Which is the smallest value? (a) 5 (b) 4\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -266*f**2 - 16252 + 16252 + (-f + 1 - 1)*(f - 3*f + f).\nAnswer: -265*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -951.59271 - -951.4. What is g rounded to 2 dps?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1136 = 1296*m - 1580*m. Let w(x) = -x**3 + 6*x**2 - 7*x + 7. Determine w(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1464)\/60)\/61*(-35)\/1\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + l**2 - 7*l - 8. What is p(-3)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3189919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3321 and -3?\nAnswer: 9963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4878998 is divided by 94?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + (-6)\/5*4*(-525)\/280.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.4, 2\/111, 1, -0.04 in decreasing order.\nAnswer: 1, 2\/111, -0.04, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - (-185)\/(-60))*16\/(-6). Find p such that 2\/3*p**2 + 2\/3*p**3 + 0 + r*p + 2\/9*p**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342.296 kilograms to nanograms.\nAnswer: 342296000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from axaxaaxaaaxcxxacac. Give prob of picking 3 c.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = h + 225. Suppose 0*c - 5*c + h = 4*w, 38 = 3*c + w. Suppose c = 3*k - 13. What is the smallest common multiple of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74261*k**2 - 123035*k**2 - 100305*k**2.\nAnswer: -297601*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3 + 6 - 58*l + 52*l - 2 - 10*l**2. Let r(s) = -s**2 - s. Calculate 6*r(i) - x(i).\nAnswer: 4*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 11:40 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 10 = 3*g. Solve 8 = -4*s + g*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5203459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 10:45 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 786607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38608?\nAnswer: 2, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 774072007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 18, 0.1, -0.06?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 20 - 16, -h = 3*l - 11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*q**2 + 21*q**2 - 1088 + 32*q**2 - 74*q**2 + 3813*q**3 wrt q.\nAnswer: 11439*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 6. Let v(c) = 2. Let q(r) = -2*a(r) + 6*v(r). Let u = 1 + -4. Give q(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*((-3)\/(-2))\/1. Sort 1\/3, f, 4 in descending order.\nAnswer: 4, f, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 - 3*q**2 - 5*q - 1. Let t(z) = 6*z**2 - 4*z**2 + 4*z - z**3 + 0*z + 1. Determine 3*t(c) + 2*v(c).\nAnswer: c**3 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 47 - 47 + 6*x**2. Let j(i) be the second derivative of 25*i**3\/6 - 8*i. Calculate o(j(z)).\nAnswer: 3750*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 1:27 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8585830.\nAnswer: 2, 5, 11, 89, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -19*x + 82. Let d be m(-2). Suppose -18*c - d = -58*c. Suppose 1\/9 - 2\/9*f**2 + 1\/9*f**4 + 0*f + 0*f**c = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 - 31*i - 69. What is q(-13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 38*n + 97. What is the remainder when f(-14) is divided by 65?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 1:13 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18 by 1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 5*a**2 - 7*a - 6. Let j = -154 - -154. Let o be (j\/(15\/(-5)))\/(-2) - 4. Determine p(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103341212 - 4?\nAnswer: -103341221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 125*s**2 + 826*s. Give d(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*i - 3 = -2*f, -2 = 2*i. Let g be -1 + 1 + f + 4. Suppose d + g = 5. Are d and 2 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1168 (base 10) in base 4?\nAnswer: -102100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 3 - (-6 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102020202121 + 20210?\nAnswer: 102021000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 7:08 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*z + 12. Let o be (1 + 8\/z)*-6. Suppose o*k - 652 = -2*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1420 (base 7) in base 15?\nAnswer: 26d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -292*z**2 + 10*z + 7. Let l(p) = 100*p**2 - 3*p - 2. Give -14*l(b) - 4*w(b).\nAnswer: -232*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/1414 and -53\/8936884.\nAnswer: 62558188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120480 and 1302690?\nAnswer: 20843040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -906.06 - 26.\nAnswer: -932.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 2*y + 74, 3*z = -y - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24126 divided by -12063?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 12 = w. Let q be 2 - w - 29100\/27. Let k = q - -1074. What is the common denominator of k and 4\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 913*n - 91118 = 7486 for n.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50073410?\nAnswer: 2, 5, 5007341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**2 + 615*m - 19446. Calculate u(38).\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2379094 by 2.\nAnswer: -1189547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 2 (c) 6\/425 (d) -1\/8 (e) -4 (f) 225 (g) 0.06\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3 + 3 - h**3 + 0 - h**2. Let y(q) = -25*q**3 - 35*q**2 - 25*q - 15. Let x(n) = 30*t(n) - y(n). Factor x(g).\nAnswer: -5*(g - 3)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, t: 1, c: 1, l: 2, x: 1, g: 2}. What is prob of sequence qlx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 697447 is divided by 1246.\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32552 and 1878.\nAnswer: 97656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 275753.\nAnswer: -10\/275753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6\/8*-2*(-112)\/(-714)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 39*x**2 + 4*x + 161. Let l be (0 - -1)\/((-1)\/(-5)). Let r(g) = 37*g**2 + 3*g + 162. Let y(w) = l*s(w) - 6*r(w). Differentiate y(c) wrt c.\nAnswer: -54*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 16 = -3*u, -851*d - 19 = -4*u - 856*d. Let y = -19 - -35. Let l be ((-3)\/(-6))\/((-2)\/y). Sort u, 1, l, 3.\nAnswer: l, 1, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1032*a - 485*a + 124 = 516*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156 and 1040.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -133*y**3 + 5*y**2 + 52. Let i(k) = 67*k**3 - 3*k**2 - 26. Let h(n) = -5*i(n) - 3*q(n). What is the derivative of h(s) wrt s?\nAnswer: 192*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213331 (base 9) to base 7.\nAnswer: 1036414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13548088?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/4 - 2311643*f + 5343693359449.\nAnswer: (f - 4623286)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 9:38 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1.2, -2872.766 in increasing order.\nAnswer: -2872.766, -3, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 5*w = 0, -2*w + 7 + 8 = a. Let t be 4\/2 + 1 + a. What is the units digit of -1 - (0 - t\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-12)\/(j\/(j*j**(-9))*j) assuming j is positive.\nAnswer: j**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-four fifths of a week?\nAnswer: 68544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61836 is divided by 5621?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1769.9 - -1771.9. Sort -3\/2, m, -2\/743, 2\/7.\nAnswer: -3\/2, -2\/743, 2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + 1 - 1)*(0*g**3 - 8*g**3 - 7*g**3) to t*g**4 + y*g**3 + q*g + w*g**2 + p and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-15)\/(-21))\/(5\/(15\/3)) and 55\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**3 - 180*r**2 + 372*r - 188 = 0. What is r?\nAnswer: -47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46150845 and 181935.\nAnswer: 138452535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 25912?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -13. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -106*j**2 - 638*j + 7. Let k be p(-6). Solve -3*v + 7*v = 5*a + 8, 0 = -v - 4*a - k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(33\/(-27))*(-3028)\/6813.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/12 - (3 + 268\/(-24)). Let y(k) = 0 + 3 - k + 0*k. Determine y(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/4 (b) -1\/5 (c) 0.5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 7 + 7 + -1 + -12\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17104*w**4 - 29062 wrt w?\nAnswer: -68416*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 5611127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x + 152. Let v be u(32). Let c be ((-36)\/v)\/(26\/16 - 2). Solve 0 = c*j + 16, 2*m - 3*m = 3*j + 10 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/52 and -45\/208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03437 - 275.26563. Let x = i - -271. Round x to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ee1a9 (base 16) in base 15?\nAnswer: 143e83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r + 25. Let j(m) = 2*m - 9. Let v be j(7). Let x be n(v). Suppose 0 = 2*t + t - 4*k - 22, x*k + 22 = t. Solve 3*f + 10 = -t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*g - 0*g - 3*w + w, 3*g = 5*w - 2084 + 2050 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 7:25 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 20 + 135. Let c be (l\/(-4))\/(5\/(-20)). Let m = c - 2. What is the remainder when m is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**2. Let b(v) be the second derivative of -v**5\/30 + v**2\/2 + v. Let m(i) be the first derivative of b(i). Calculate p(m(h)).\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 64 - 160 = -5*o, 0 = 2*o + s - 83. Calculate the remainder when o is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/42)\/((-5)\/(70\/(-8))).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 37. Suppose 3*g - s = -2*w, -3*w + 4*g - 6 = -4*w. Let q be 2 - -1 - 0 - (0 - 3). Solve -3*m + q = -5*f, -3*f = -m + w - 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 5*k - 6. Let z be l(-7). Solve 3*y = z*y - 15 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28431 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/14*-2 - 2309010\/(-77) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109821 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -398, -807, -1216, -1625?\nAnswer: -2034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, w: 1, d: 1, q: 2}. Give prob of sequence qwdk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*b**5 - 2216*b**4 + b**3 + 491099*b**2?\nAnswer: -1020*b**2 - 53184*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b + 2*b = 1963. What is the remainder when b is divided by (-2 - -2)*1 + 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, w: 3, l: 3, u: 1, i: 2, j: 1}. Give prob of sequence wu.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -35*t - 41. Determine c(2).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8408007 millilitres in litres?\nAnswer: 0.0008408007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 16 = -2*l, -5*m - 30*l + 31*l + 24 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -32, -5, 4 in increasing order.\nAnswer: -32, -5, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/5, -3, 3\/68, 83?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90 - 1172\/13. Sort 2, v, 0.3, 3.\nAnswer: v, 0.3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2. Let n(p) be the second derivative of -446*p**3\/3 + 24*p**2 + 3*p + 6. Let w(j) = -357*j + 20. Let b(a) = 5*n(a) - 12*w(a). What is t(b(u))?\nAnswer: 61952*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172 + 185 = -4*x + 3*s, -4*x + 63*s = 68*s - 11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3*v + 84, -12 - 3 = 5*v. What is the remainder when m is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -95813 - 1.00431.\nAnswer: -95814.00431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -427239000 rounded to the nearest one hundred thousand?\nAnswer: -427200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-30905)\/(-21) - -2) + 1\/3. Is 3\/4 + o\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z - 3*z - 4*z)*(7 + 6 + 23) to the form x*z + p and give x.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2711859.\nAnswer: 3, 83, 10891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4626\/12850)\/(-3*(-2)\/(-20))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**5 - 3*k**4 + 9*k**3 + 15*k**2 + 6*k = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 345591 and 2654433?\nAnswer: 7353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 23 + -40 + 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*a**2 - 21*a**2 + 79*a - 36*a**3 + 46*a**3 - 17*a**3 as p*a**3 + i*a**2 + c + d*a and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2440*-9\nAnswer: 21960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 397 + 160?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/2 + 2743*f\/2 + 159881.\nAnswer: (f + 122)*(f + 2621)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.3*635524.\nAnswer: 826181.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*1*sqrt(3) - sqrt(3)) + 0 + sqrt(3) + 1)**2.\nAnswer: -8*sqrt(3) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 146 + 79 = 0. Let v be -8*(f\/(-24))\/((-9)\/(-12)). Suppose -3*s - 3*p - 9 = -0*p, 0 = -4*p - v. Solve -2*q - s*q = 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/9 of a week?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 167, 9, -0.5, 1, 4\/11.\nAnswer: -0.5, 0.1, 4\/11, 1, 9, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - p + 17 = 3*p, 0 = 5*l + p - 20 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -85*z**2 + 1197*z - 166. Determine b(14).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/4 of a week in hours?\nAnswer: 3822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7799 times -354.45\nAnswer: -2764355.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**3\/7 - 8750748*l**2\/7 - 2500212*l - 8750740\/7 = 0. Calculate l.\nAnswer: -2187685, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*u + 6369 - 26616 = 0 for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {m: 1, y: 1, s: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/4 of a hour?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a + 7. Let i be x(0). Let g = i - 19. Let c be g\/72 + (-182402)\/(-12). What is c rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - u - 15 = 85, 13 = 2*i + 5*u. Let n be 3\/12*-3 - (-237)\/12. Calculate the highest common factor of i and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177*y**2 - 84*y**2 - 27*y**3 - 93*y**2.\nAnswer: -27*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t + 13*t - 16135 = 0. Do 461 and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 14 = 3*w + w, -9 = k - 3*w. Calculate the smallest common multiple of 15 and (k\/(-2))\/(-4 + 34\/8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -17, -3, 27, 79, 159, 273?\n\"Answer: s**3 + 2*s**2 + s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)*2)\/sqrt(12) + (-2 + sqrt(50) + sqrt(550)\/sqrt(11) + sqrt(50))**2 + sqrt(50).\nAnswer: -45*sqrt(2) + 454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 17, 37, 61, 89?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unnb. What is prob of sequence ub?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -m - 1, 3*m - 5*m = 2*z + 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n - 106 - 22*n**2 + 112 - 13*n**2.\nAnswer: -35*n**2 + 4*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 3 + 0 + 3 - 4 + (1 + 2 - 5)*(-1 - 5 + 4))*(-o + o - 2*o**5).\nAnswer: -8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38 - 24 + 102 + 33*h - 108*h.\nAnswer: -75*h + 116","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lt when two letters picked without replacement from ttiqqlxiqlql.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55099799 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/3)\/(17\/51). Suppose 0 = 2*z + 5*b - 33, -4*b + 8 + 4 = -t*z. Suppose -12 = -z*j + 2*j. Solve 4*h - 3*r = 7, 2*r - 2 = -5*h + j*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1284*g**3 - 2*g**2*i**2 - g + i**2 - 306 with respect to g.\nAnswer: -3852*g**2 - 4*g*i**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -336, -325, -308, -285?\n\"Answer: 3*y**2 + 2*y - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1631483655 from 13430.\nAnswer: 1631497085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 144452 + -11?\nAnswer: 144441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -195*m - 12. Let w(l) = l**3 + 2*l**2 - 23*l + 5. Let f be w(-6). What is the units digit of a(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/32)\/((-21)\/14). Let s(p) be the first derivative of 0*p - 3 + 1\/20*p**5 - q*p**2 + 1\/4*p**3 - 3\/16*p**4. Determine v so that s(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*l - 162 = 0. Let g = -15 + 33. Calculate the greatest common factor of g and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11986 and 195.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -48, -5 in increasing order.\nAnswer: -48, -5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11278700 rounded to the nearest one hundred thousand?\nAnswer: -11300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 60 = -4*q, -12 = -w + 3*q + q. Let z be -5 + 1 - (-12 + (w - 5)). What is the closest to 0 in 0, z, 4, -0.13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 10*r - 3. Let n(o) = o - 1. Suppose -z + 11*h = 6*h + 14, -2*z + 14 = 4*h. Give z*f(s) - 6*n(s).\nAnswer: 4*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 + -0.2. Let o = -0.12 - -0.12. Which is bigger: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 401*q**3 - 2183*q**3 - 330*q**3 - 2656*q**3 + 1065*q**3 - 3347*q**3.\nAnswer: -7050*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6\/899?\nAnswer: -6\/899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x - 24 = 51 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6 = -2*y, -2*y - 5*m = -0*y + 20. Let s = y - -3. Let g = 113 - 118. What is the closest to 1\/4 in g, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*l**2*u - l**2 - 468*l*u + 231726*u wrt l.\nAnswer: 86*l*u - 2*l - 468*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7779937427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(720) - (sqrt(5) + (sqrt(80) + sqrt(5))*5) - sqrt(45)\/(sqrt(9) - (-1*sqrt(144) + sqrt(144))))**2.\nAnswer: 30*sqrt(5) + 1126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98842 - 98841.957297. Round s to three dps.\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(6) + 2*sqrt(54)).\nAnswer: sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7016590069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 28880752.21 rounded to the nearest 1000?\nAnswer: 28881000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 2*k + 2*k**2 + 0*k**2 - 5*k**2 + 4*k**2 + (k + 2*k - k)*(-13*k - 10*k + 5*k).\nAnswer: -35*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) -0.5 (c) 5 (d) -11\/19 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -51, -8, 0.7, 3, 2, -511 in increasing order.\nAnswer: -511, -51, -8, 0, 0.7, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 6, 19, 26, 21, -2?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 201821655779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.1 (b) 0.3 (c) -2 (d) -7\/9 (e) -177\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t*x*z**3 + 7*t*x + t*z**3 - t - 23*x*z**3 - z**2 wrt z?\nAnswer: 6*t*x + 6*t - 138*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2106427 (base 9) to base 15\nAnswer: -173c54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5634 is divided by 940.\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 1 = 11. Let f(n) = 2*n + 2. Let o(i) = 7*i + 9. Let c(v) = -5*f(v) + o(v). Let h(y) = -y - 1. Give g*c(w) + 2*h(w).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536*n - 11740 = 51*n for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 282105 (base 10) to base 12\nAnswer: 117309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 562 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 2*l - 323 + 332 = 0, -3*l = -3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 351 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-1 - 2)) + (-237 - -223)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278 + 278 + 1698*o**3 + 539*o**3 - 556.\nAnswer: 2237*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26113643 - -1?\nAnswer: 26113644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 4, -5*i + 2*p = -2*i - 11. Let k be 6 - 5\/(i\/4). Let g = 12 - -6. What is the highest common factor of k and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x + 8. Let i be t(6). Let m = -23 + 24. Sort -5, i, m in decreasing order.\nAnswer: i, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(343) - 5*(sqrt(343) + 0)) + -1 - -1*(-4 + sqrt(343) + sqrt(343) + sqrt(343) + 2 + sqrt(343)))*-4)**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 164260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*t - 3*m, -2*t - 2*m = -0*t + 10. Let s be (-4)\/(-7)*(-1)\/t. Let q be ((-1)\/1)\/1 - -2. What is the closest to 0.1 in q, 1\/3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25603 - 25598. Let u(g) be the second derivative of 1\/18*g**4 - 19*g + 0*g**3 - 1\/20*g**o + 0*g**2 + 1\/90*g**6 + 2. Solve u(r) = 0 for r.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2105047548?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 < -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 times -0.01?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1*u)\/u)**(-1\/5)\/(u\/(u**0\/u))**(3\/7) assuming u is positive.\nAnswer: u**(-37\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2002*l**2 - 61*l + 72. Let j(b) = 4005*b**2 + 102*b - 142. Let w(a) = 5*g(a) + 3*j(a). What is the second derivative of w(r) wrt r?\nAnswer: 4010","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p\/(p**(4\/9)*p)))\/p**(-1\/17))**(1\/14)*((p**4)**20)**(-26) assuming p is positive.\nAnswer: p**(-636469\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a millennium in centuries?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/90*-57 - 4)*-1\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 14*s**2 - 15*s + 1. Suppose 0 = 3*d + 9, 11 = 3*h + d - 22. Let i be (-6)\/(-4)*-6 + h\/(-2). Calculate w(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -706762 - -1614365. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aoooaaa. Give prob of picking 2 a.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5098613148738 plus -4?\nAnswer: -5098613148742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (-4 - -2) + -7 + 0\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5*k**2 - 4339350*k - 156210120 = 0.\nAnswer: -867834, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 10 + -9 + 36\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 0 - (-32 - -30) - (-2 + -6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (477*s - 940*s - 495*s + (s + 4*s - 6*s)*(-4 + 0 + 3) + 3 - 3 + 2*s - s - 2*s + 2*s)*(0*s + 0*s + 2*s) to o*s**2 + i + g*s and give o.\nAnswer: -1912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*v**6 - 378*v**5 + 3*v**2 - 2142*v wrt v?\nAnswer: 1440*v**3 - 22680*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00020831 to six dps.\nAnswer: 0.000208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2524*f**2 + 865720*f - 4116 = 0?\nAnswer: -343, 3\/631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1644*(3 + 17\/(-4)). Suppose -7*h = -2*h - f. Find the third derivative of v**5 - h*v**6 + 7*v**2 - v**5 + 405*v**6 wrt v.\nAnswer: -720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 16 = 3*k. Suppose -2*l - k + 35 = 0. Suppose 196 = 45*u - 29. Solve -l = 4*q - 5*f, -5*f + 0*f + u = 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211 (base 6) to base 7.\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4*s - 12. Suppose -3*l + 3*m - 27 = 0, -s*m = -m - 15. Let i be (-22)\/6 + (-4)\/(-6). Put i, -1, l in ascending order.\nAnswer: l, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -0.1, -1, 435, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -3\/7, -1\/7, -1, 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -217 + 211 + ((-12)\/(-4))\/((-3)\/8). Which is the nearest to 0? (a) 2 (b) h (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 36490, 36539, 36618, 36727?\n\"Answer: 15*t**2 + 4*t + 36471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**0*h)**(17\/2)\/(h**(3\/10)*h\/h**(-3))*h**(1\/7)\/((h*h*h**2*h)\/h)*h**(2\/13)\/(h*h*h\/((h\/h**(-2\/11))\/h)) assuming h is positive.\nAnswer: h**(61847\/10010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23629 - 116827\/5. Let z = l + -1031\/4. What is the common denominator of z and -139\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.7 + 6.99. Let g = 0.09 - v. Let x be (1\/(-5)*-1)\/1. Put x, g, 0 in descending order.\nAnswer: x, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.22 - 0.08. Let p be (0 - -1) + 22\/(-14). Sort p, j, -2 in decreasing order.\nAnswer: j, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s = 0, -a - s = 30. Let n = -13 - a. What is the remainder when 84 is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.3 + 1.2. Let v = 80 - 77. Which is the closest to -10? (a) v (b) 0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(209) - -4*sqrt(209)))\/sqrt(11).\nAnswer: -30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-9)*(19 - 22442\/2044 - 8).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 4*g + 9. Let n(s) be the first derivative of -g + 2\/21*s**3 + 2\/7*s + 2\/7*s**2. Factor n(l).\nAnswer: 2*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from gpgggggggpgggggggggp?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u + 2. Let c(s) = 14 + 4*s + 3 - 2*s - 16. Let h(p) = p**2 + 8*p. Let n be h(-7). What is n*c(k) + 4*o(k)?\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45649133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 36469.7 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**5\/30 + b**4\/6 + b**3\/2 - b**2. Let u(x) = 4*x**2 + 7*x + 5. Calculate -5*o(h) + 3*u(h).\nAnswer: 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 82251, 83093, 83951, 84831, 85739, 86681, 87663?\n\"Answer: o**3 + 2*o**2 + 829*o + 81419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 127800 and 48.\nAnswer: 255600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2542 + -2542. Solve 5*p - 229 + 209 = x for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 2*f - 45 - 38 + 33 to o + g*f and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 3*t**2 + 4. Let z be k(-3). Sort 5, z, -4.\nAnswer: -4, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kukumwmlwrrk. Give prob of picking 1 l and 1 u.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -275, -15, -1, -5, -12, -8 in descending order.\nAnswer: 4, -1, -5, -8, -12, -15, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 0 + 1 - 2) + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 5*k + 65543 = -146306. List the prime factors of k.\nAnswer: 19259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 - -92. Suppose -2*o = 3*j + 2 + y, 3*j + 29 = -4*o. What is the tens digit of ((-2)\/18*j)\/((-1)\/(-321))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28588945 to the nearest integer?\nAnswer: 5347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3*1\/(-3))\/(-7 - -13)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 578543 to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 + 1. Let j be z(2). Let r = 20 + -18. Suppose r*b = b + 21. Solve -3*m + 2*m - 3*f = -j, -m + b = 5*f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86.1 - -86. Let x be 3\/(114*1\/6). Sort f, x, 1\/7 in descending order.\nAnswer: x, 1\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2. Let x(w) = 7*w + 210. What is y(x(p))?\nAnswer: 98*p**2 + 5880*p + 88200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 14 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - -15. Let l = d - 34. Let p be (-1 - (-1 - l))\/(5 - 3). Which is smaller: p or 2\/53?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.14 (b) -2\/3 (c) 5\/33 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*b + (3 + 1 - 3)*(-4*b + 0*b - b) - 2*b + 1 - 1 + 0 + 0 - b + (b - 1 + 1)*(-1 - 2 + 1).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 377964, 377970, 377980, 377994, 378012, 378034?\nAnswer: 378060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/5 (b) -2\/13 (c) -20 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -26, 0.3, 0.5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-5))\/(((-12)\/40)\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8827582097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -360591\/19 or -18977?\nAnswer: -360591\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-nine quarters of a tonne?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n - 51. Suppose 2744 - 2730 = 2*p. What is i(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -643 minus -1776552?\nAnswer: 1775909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (712 - 126 - 254)*(-y + y + y) - 149 + 55*y + 149.\nAnswer: 387*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4353*v**4 + 4356*v**4 - 5*v - 1 - v**3 + 6*v to the form c + n*v**3 + h*v**2 + y*v + i*v**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 219 * -0.05.\nAnswer: -10.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -43*w**3\/6 + w**2 - 23*w. Let v(p) = -2*p. What is v(s(n))?\nAnswer: 86*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 169 = 1535. Suppose 4*b + w - 3124 = 0. What is b rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 50804 = s, 3*i = 8*s - 333839 - 72564. List the prime factors of s.\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2, 6*d - d - 4*b = 58. Calculate the greatest common divisor of d and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 2\/7, 17 in ascending order.\nAnswer: 2\/19, 2\/7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2736) + 1 + 1 + sqrt(190)\/(sqrt(40) - sqrt(10)) + sqrt(76)\/sqrt(144).\nAnswer: 79*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 + -0.03. Let j = 3 - v. Let u = j - 2.999945. Round u to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/11 + 37560*q\/11 + 37558\/11.\nAnswer: 2*(q + 1)*(q + 18779)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*a**3*f**2 - 430*a**3 + 2*a*f**3 wrt f?\nAnswer: -28*a**3*f + 6*a*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 7336.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1581*b*k**2*o - 8*b*k**2 + 2*b*k*o + 18*b*k - 12*b + 2*k**2*o + 127*k**2 - 4 wrt o?\nAnswer: -1581*b*k**2 + 2*b*k + 2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/9 - 776*j.\nAnswer: -2*j*(j + 3492)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 8:12 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**4 + 68*k**3 + 312*k**2 + 560*k + 352 = 0. What is k?\nAnswer: -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/4 - 957*l + 22536.\nAnswer: 3*(l - 1252)*(l - 24)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 35 - 88 = 4*j, 2*w + 3*j - 62 = 0. Suppose 7 = -2*u + w. Suppose 2*p = -u + 99. What is the highest common divisor of p and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in months?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 12, 0 = -n - 7*s + 4*s + 66. Let x be 81\/n - (-54)\/4. What is the highest common divisor of x and 480?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**2 + 28*k. Let l be b(14). Let g be (-8)\/26*(-1)\/(-2). Is g >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 11*c**3 + c**2 - 1. Let y(x) = 3*x - 12. Calculate the smallest common multiple of y(5) and r(1).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -16. Let q be 2\/((2 - -2)\/x). Differentiate -q + k - k + k + 3*k with respect to k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 19 = 12. Let j = 28 + -29. Let k = j - -12. What is the remainder when u is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 t when two letters picked without replacement from {j: 2, r: 2, t: 2, u: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**5 - 212*x**4 + 3132*x**3 - 9340*x**2 - 53248*x - 40560 = 0. What is x?\nAnswer: -2, -1, 13, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95322.39 millennia to years.\nAnswer: 95322390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 j when four letters picked without replacement from jrjgcfjfccfjgftftfg.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 408 (b) 0.1 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24867 and 614.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 7. Let i be j(-8). What is the units digit of 26\/i + 2\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -7.5. Let m = 202.2 + -202. What is the closest to 0.2 in k, -2\/7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*h + 32*h - 5548 = 23*h. Suppose -5*c + 2351 = 4*p, 106 = 2*p + c - 1065. Calculate the greatest common factor of h and p.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.7 - 17.5. Which is the smallest value? (a) t (b) 1\/4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 264 and 396?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 9534.\nAnswer: 9534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-126)\/(-8))*30\/(-20).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2157, 2476, 2387, 1686, 169, -2368?\nAnswer: -6129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - -12. Calculate the highest common factor of p and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.4 (b) -3 (c) -5 (d) 13\/89 (e) -112\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09388162 to 5 decimal places.\nAnswer: -0.09388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -309.\nAnswer: -4\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -22 - (1 + -10) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.4436 rounded to one dp?\nAnswer: -63.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2471 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**9\/72 - 3*b**5\/20 + 9*b**2\/2 + 7. Let y(i) be the second derivative of m(i). What is the third derivative of y(j) wrt j?\nAnswer: -840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -587*l**4 - 2*l**3*q - 2*l**2 - 3993*l*q wrt l?\nAnswer: -7044*l**2 - 12*l*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 329133?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 132848*o - 9361. Let f(x) = 2657*x - 187. Let l(r) = 299*f(r) - 6*u(r). Let s(y) = -21*y + 2. What is -2*l(g) + 253*s(g)?\nAnswer: -23*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g**3 + 109*g**2 - 14*g - 103. Give l(18).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 - (3 - (-10 + 14)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i**2 + 4*i + 2. Let o be c(-2). Let z = o + -6. Suppose -2*k + z + 0 = 0. What is the lowest common multiple of 5 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 19*r**3 + r**2 - 3*r - 6. Let k(f) = 37*f**3 + 2*f**2 - 5*f - 11. Give 3*k(s) - 5*l(s).\nAnswer: 16*s**3 + s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17, 43, 81, 137, 217?\n\"Answer: g**3 + 19*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, i: 5, p: 3}. What is prob of sequence ii?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/103? (a) -0.7 (b) 1 (c) 0.5 (d) 2434\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 3*m + 2. Let f be s(-2). Let i = 582 + -577. Solve -i*h + 4*r - r = -3, f = r + 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-136)\/(-51)*(-3)\/2. Put x, -0.15, 2, -3 in descending order.\nAnswer: 2, -0.15, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8139107 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110546364?\nAnswer: 2, 3, 9212197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 5, p - 4*t - 116804 = -p. What is p rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31557.43 kilometers in nanometers?\nAnswer: 31557430000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -292, -246, -200?\n\"Answer: 46*b - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 1205 = 413. Which is smaller: 73 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {i: 16, o: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*o**2 + 2*o**2 + 2*o**2)*(-3*o**2 + o**2 + 3*o**2) + 14*o**4 - 46*o**4 - 31*o**4.\nAnswer: -64*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 206, 212, 218, 224, 230?\n\"Answer: 6*o + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*237.3919.\nAnswer: 474.7838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/18324 and -71\/30540?\nAnswer: 91620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 38038995230.\nAnswer: 38038995225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 12 = -0*u. Solve 2 = -2*w + 2*a, -9 = -0*w + u*w + a for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b + 0 - 5*b + 1 + (-4 - 1 + 3)*(b - b - 2*b + 0*b + 0*b - 2*b + (-5 + 4 + 2)*(b + 0*b - 3*b) + 3*b + 20*b + 5*b).\nAnswer: -46*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2749*w + 2. Give d(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - n**2 - 2*n + 1. Let k be q(2). Let u(t) = -t + 1. Suppose 5*m = 4*m + 4. Let z(i) = 0 - i**2 + 1 + 3*i - m*i. Give k*u(x) - z(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13813056 is divided by 197.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/14 - 524\/(-224). Let c(v) = -v**2 + 12. Let w be c(-3). Which is smaller: b or w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 196*i. Let b(r) = 6*r**2 - 14. Determine b(x(v)).\nAnswer: 230496*v**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -159.6 + 160. Let l = -6443\/19 - -339. Put b, -4, l in increasing order.\nAnswer: -4, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 - -36. Let j(i) = i**3 + 9*i**2 - 9*i + 19. Let l be j(s). What is the highest common divisor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 6:18 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3335 + 2818.2. Let f = b + 552. What is f rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(51)*-1)\/(5*sqrt(27)\/sqrt(9)))**2.\nAnswer: 153\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 151801 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462 = 4*p + 17*p. Let y(n) = 29*n - 73. Is y(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b - 19*b - 261*b)*(-2*b + 0*b + 0*b) as r*b + l*b**2 + k and give l.\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.85622 years in decades?\nAnswer: 0.285622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 320302963*z**4 - 357*z**2 + 29328*z wrt z.\nAnswer: 7687271112*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 8*t + 4.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*c = 4*v + 21, 2*c + v = 14. Suppose c*h + 2*h - 1701 = 0. Is h a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 337 + -282. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 1:04 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22056 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17371706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, e: 10}. What is prob of picking 1 e and 1 y?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 2*c - 11. Let n be b(-4). Let x = 58 + n. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -5) + 16 + (0 - 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -7\/9, 2\/15, -2 in decreasing order.\nAnswer: 2\/15, -1\/3, -7\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 34\/5 of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35*g*i**2 - 167*g*i - 55*i**2 - 232 wrt g.\nAnswer: -35*i**2 - 167*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (5 - 2) - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 12*s**2 - s + 3. Suppose 5*h - 3*u - 23 - 37 = 0, -u = 0. Determine l(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23\/5, 0.2, -7, -1\/11 in descending order.\nAnswer: 0.2, -1\/11, -23\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3 + 1 - 24*y + 48*y - 28*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7061592 and 118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.76? (a) -2\/23 (b) -0.4 (c) -0.18 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105973*-1.\nAnswer: -105973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7247 is divided by 2412?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/825 and -77\/810.\nAnswer: 44550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59057 is divided by 19681?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 7, -3 in descending order.\nAnswer: 7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -985*w + 385 = -995*w - 5*l, 3*l - 49 = w for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, q: 1, s: 1, a: 1, g: 1}. Give prob of picking 1 a, 1 g, 1 q, and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w + 44*v = -46*v + 92*v + 542, 9*v - 9 = w for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 30. Let j be d(0). Let t = -18 + j. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 10379095.495?\nAnswer: 10379095.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*m = 0, 7*n = 5*n - 3*m. Suppose u + 1 = -2*z + 4*u, n = -2*u - 10. Is (z\/(-6))\/(6*(-1)\/(-279)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6778*a = 8912*a + 107279 - 4847 for a.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/4*2*-2. Let q = 5 - b. Solve 5*i - 22 + 7 = q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - u + 1)*(0 + 0 - 1) + 2*u + 0*u + 0*u + (3 - 2 - 3)*(-1 + 1 - 2*u) + 0*u + u + 0*u + 4*u + 0*u - 6*u + (-34*u + 1340 - 1340)*(0 - 2 + 1).\nAnswer: 40*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -220 (base 6) to base 5\nAnswer: -314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 94 = 5*c, 0*c + 25 = g - 2*c. Suppose -2*s + g = 2*k + 1, 4*k = 4*s + 24. What is the remainder when 14 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 + -48 - -9) + -10 + -1 + 2 + -10.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, 2\/27, 3\/4, 787, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 190522 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10012111211101 + -121010?\nAnswer: -10012112102111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*v + 7, 5*q - v + 14 = 3*v. Let x(p) = -2*p**2 - 2*p - 3. Let c(i) = 8*i**2 + 9*i + 13. Determine q*c(g) - 9*x(g).\nAnswer: 2*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 53083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9047 or -9050?\nAnswer: -9047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n + 4*n + 1 + 4*n - 16*n - 8.\nAnswer: -2*n - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/4070 and 127\/2442.\nAnswer: 12210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029 times -0.26?\nAnswer: 0.00754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(((((p**0*p)\/p)\/p)\/p)\/p))**(-15)\/((p**(-3\/4)\/p)\/p*p*p**(-5)) assuming p is positive.\nAnswer: p**(-213\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2010)\/(-2345))\/(9*2\/84).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 80 = 2*b - 122, 0 = 2*i - 5*b - 104. Solve 0 = 15*h - h + i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a235 (base 15) to base 3.\nAnswer: 1201222112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112872 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eooeoeo. What is prob of picking 2 o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**2 + 3*r**2 - 17*r**3 - 2*r**2.\nAnswer: -17*r**3 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from viiiiieiviivvi.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**5*v - 60*c**4*v**3 - 52*c**2*v**3 - 14*c*v**3 wrt c.\nAnswer: -180*c**2*v - 1440*c*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/3 + 22378*m**2\/3 - 62563280*m\/3 - 62630432.\nAnswer: -2*(m - 5596)**2*(m + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/264 and 2\/9.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 x, and 1 f when four letters picked without replacement from xffuxufxbqufuuf.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that t**4\/3 - 40*t**3\/3 + 119*t**2 + 294*t = 0.\nAnswer: -2, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*o - 14*o - 2*c + 6, -2 = o - c. Solve o*q = 9 - 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 8. Let q be f(8). Let u be 0*(q - 3\/6). Find the third derivative of 0 + u - a**2 + 2*a**5 wrt a.\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1159587.\nAnswer: 3, 11, 13, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11299\/22606 + 2\/11303. What is the closest to -1\/4 in g, -5, -1\/5, -201?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1604 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 12 + 4. What is the lowest common multiple of n and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y - y + 2 + y + (1 + 2 - 1)*(3 + y - 3).\nAnswer: 5*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 1820*h - 158675. Give i(88).\nAnswer: 1485","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3019309547 to the power of 1\/2, to the nearest integer?\nAnswer: 54948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 6 = -3*c, f - 30 = -4*c. Let q = f - 24. Let z(x) = 7*x - 2. Let n(v) = -13*v + 4. Calculate q*n(i) - 11*z(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 8.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*x - 144*x - 12 = 0. What is the highest common factor of x and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4 - 4. Let y(t) be the first derivative of -2*t**2 + 2*t - 5813. What is y(b)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -152*v. Let m(x) = x**2. What is n(m(q))?\nAnswer: -152*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11933 - 0.17.\nAnswer: 11932.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 5*v**2 - 7*v + 9. Let b be z(6). Suppose -4*t + 5 = -b*t. Solve t*w - 3*a + 20 = 2*a, 3*w - 13 = -2*a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5\/18, -2 in descending order.\nAnswer: 5, -5\/18, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 10*i + 45. Let s be 4\/2*(-126)\/(-36). Let v(l) = 2*l - 9. Let m be v(6). Solve -i = m*a, s*a = 4*w + 2*a - 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, -2, 0.19, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1109.14 to 0 dps.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - 1*1*sqrt(91))\/(sqrt(1008) + sqrt(1008)*2) - (-4*-3*sqrt(104))\/(sqrt(8)*-2*2 - sqrt(8) - sqrt(8)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 20833929+19579\nAnswer: 20853508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (-1 + 1 + -14) - (-77 - (5 + -3))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -16) + (-49 + 88 - 33)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u = -4*o - u + 416 - 362, 39 = 5*o - 3*u for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/376317 and -41\/3177788?\nAnswer: 28600092","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(-12)*16\/(-6). Suppose 0*f - 4*o + 300 = 4*f, 0 = -5*f - k*o + 380. Let d = f - 56. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.25? (a) -47 (b) 4\/3 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1478272410?\nAnswer: 2, 3, 5, 107, 51169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 218, 224, 232, 242, 254, 268, 284?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 times -2?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -349\/12. Find the common denominator of 1\/2 - 40\/(-55) and s.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 13798, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 4517918*m + 5. What is r(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 191 = 188. Solve 3 + a = r - 4*w, 2*r + 4*w - 8 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*a + 96*a + 54*a + 0*a)*(2 + 2 - 5) to m + w*a and give w.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*v. Suppose 5*i - 60 = -v*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1558078 is divided by 2758.\nAnswer: 2566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -30002 (base 4) in base 16?\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) 1\/7 (c) -2\/17 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -867, 3\/1982 in descending order.\nAnswer: 0.5, 3\/1982, -867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 30*m - 224. Calculate the smallest common multiple of 92 and w(8).\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 5. Let g = 2650 - 2655. Which is the nearest to 0.1? (a) n (b) g (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/6 + (-2)\/(-3). Let a = 1\/135 - 11\/27. Which is smaller: a or c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*g - 624*g**3 - 934*g**3 - 976*g**3 + 5*g + 2169*g**2 wrt g?\nAnswer: -15204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 849782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -146.\nAnswer: -14.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, v: 4, b: 1, r: 1, x: 1}. Give prob of picking 1 b, 1 x, and 1 v.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 1296*h + 121773. Give l(-102).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/56))**(-23\/6) assuming i is positive.\nAnswer: i**(23\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3\/7, 0.3, 1\/4, 0.2, 7\/13739, 1?\nAnswer: 7\/13739","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - 9\/(6\/(-2)). Is 8 a factor of (3 + 1)\/p + 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 538.8 (c) 7 (d) -1\/374\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 2*c - c - 5*p + 63, -15*c + 5*p - 40 + 10 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-3128)\/(-1) + (-1800)\/180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in nine fifths of a decade?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqccccqoooqcccqo. Give prob of picking 1 o, 1 c, and 2 q.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 14 - 10 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - p. Let g(f) be the third derivative of f**6\/60 + 7*f**5\/60 + 5*f**4\/24 - 4*f**2. Let t(a) = -g(a) - 3*v(a). Factor t(r).\nAnswer: -r*(r + 1)*(5*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 6*y**2 + 10*y - 24. Let q be d(5). What is the nearest to -0.2 in -0.2, q, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 - 6*j + 9. Calculate y(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12033 (base 5) to base 3\nAnswer: 1020002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 3*v - 2. What is the tens digit of s(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2\/11, -0.4, 5, -45.4, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14.86 (b) 14 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1184843, 2369685, 3554527, 4739369?\n\"Answer: 1184842*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2390 - -2395. What is the nearest to -2\/11 in 0.1, m, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of 0*f**2 - 2*f - 7 + 2\/3*f**3. Find q such that r(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -99, -78, -27, 66, 213?\n\"Answer: 2*r**3 + 3*r**2 - 2*r - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7266 from -0.03.\nAnswer: 7265.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**3 + 15*x**2 + 56*x - 246. Calculate a(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 6. What is the units digit of (-10)\/(-3) + 2\/o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11010101111011100011110 (base 2) to base 15.\nAnswer: -9370d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*t**3 + 3137310 - 102*t**3 - 3137242.\nAnswer: -2*t**3 + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -51.1. Sort -2, o, -5 in increasing order.\nAnswer: -5, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 4*o**2 + o + 5. Give t(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 930? (a) -2\/9 (b) 2 (c) -0.26 (d) -0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2726?\nAnswer: 2, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475818584.\nAnswer: 2, 353, 168491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1928887 and 148.\nAnswer: 1929035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1b1672 (base 12) to base 3\nAnswer: 220100220012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/63)\/(8\/(-56)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 16, 74, 186, 370, 644?\nAnswer: 1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z + z)*(-2 + 2 - 2*z) + z**2 + 3*z**2 + 0*z**2 + 5 - 16 - z + 12 - 5*z**2 + (15 - 15 - 7*z)*(-2*z + 3*z + z).\nAnswer: -17*z**2 - z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*g**4 + 0*g**3 + g**3 - 46*g**4 - g**2 + 0*g**3 - 1 as f + l*g**4 + p*g**2 + u*g + c*g**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 2*f + g = -2, -f + 7 = g. Solve -4*b - f*n - 16 = 0, 0 = -6*b + 5*b - 4*n - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39\/8 + -5. What is the third biggest value in -2, 0, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 2*q - 4. Let m be b(-4). Suppose -2*t = 2*z - 168, m*z = -4*t + z + 335. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003538919 to six decimal places.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -c - 0 - 7, 0 = 3*q + 4*c + 23. Let d be q\/(-6)*2*6. List the prime factors of (-12)\/d*-6*1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 584 - 400. Let t = 508 - i. Let j be t\/45 - 1\/5. What is the greatest common divisor of j and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7952990.\nAnswer: 2, 5, 795299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1064527, 5 in increasing order.\nAnswer: -3, 5, 1064527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - v - 11 + v**4 - 796*v**3 + 798*v**3 in the form t*v + q*v**4 + r + g*v**3 + c*v**2 and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4644209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-49)\/3)*54\/36. Suppose o*u - 18 = 17*u. Let n = -6 + 18. What is the greatest common divisor of n and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -10*n**3\/3 - n**2 + n - 7. Suppose -6*f + f = -5*w + 25, 4*f + 12 = 0. Let a be ((-1)\/(-3))\/(w\/6). Determine s(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22956, 45903, 68850?\nAnswer: 91797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 532.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaajaaa. Give prob of sequence aa.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 7, -4, -2.\nAnswer: -4, -2, 0.7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3420 - -3436. What is the remainder when 1278 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/((-2604)\/155))\/((-345)\/(-24))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a. Let z(k) = 5*k - 6. Let d(u) = -11*u + 13. Let s(v) = 6*d(v) + 13*z(v). Give r(s(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1611058*f**5 - 2200260*f - 2 wrt f?\nAnswer: -32221160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 6880035.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/((-4)\/(-1) + -1). Put t, -3, 1, 49 in descending order.\nAnswer: 49, 1, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656 = -109137*o + 109055*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = y - 8. Suppose -6*z = -z - 60. Calculate the greatest common divisor of z and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*2\/(-1470)*-5*-1.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/389 in -5, 11, 0.4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - sqrt(162)\/sqrt(6)) + (sqrt(36)\/sqrt(3) + sqrt(3) + sqrt(3))**2 - (3*sqrt(243) - sqrt(147)*-5))*6.\nAnswer: -384*sqrt(3) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -88643.2 - -88590.2047. Let t = 53 + z. What is t rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211975459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376*b = 390*b + 112 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + 2*u**3 + 0*u**3)*((-44 - 123 - 67)*(0*u + 2*u + 0*u - 1 - u + 1 + (-2 + 2 + 1)*(-4*u - u + 3*u)) + (4 - 5 - 1)*(-4*u - 1 + 1)).\nAnswer: 484*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14550 by 582.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -25*k**2. Let n(i) = -i + 2*i - i - 2*i. What is n(q(f))?\nAnswer: 50*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*q**3*v - 16*q**3 - 3756*q**2*v**3 + 6*q**2 - 4*q + 7 wrt v?\nAnswer: -12*q**3 - 11268*q**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.3 (b) -2 (c) -0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 14 = 14 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -412119, -1648468, -3709049, -6593862, -10302907, -14836184, -20193693?\nAnswer: -26375434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 12:52 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**4 - 3*a**4 + 3*a**4 - a**3)*(-4167681*a + 4167678*a + 1021 - 4568).\nAnswer: 3*a**5 + 3550*a**4 + 3547*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*x + 6)*((2*x - x - 2*x)*(-1 + 2*x + 1) + 1 - 1 + x**2).\nAnswer: -2*x**3 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/9 - 17759*f\/9 + 1900700.\nAnswer: -(f - 916)*(f + 18675)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 73 or 1716?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1316369.\nAnswer: 223, 5903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-99)\/9 - -21 - 55\/5. Is 44\/831 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (690\/2070)\/(1136\/(-12))*4.\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 + 7*g**2 - 3*g**2)*(-2*g + 3*g + 0*g) - 6*g**3 - 3*g**3 + 6*g**3 - 3*g**3 - 3*g**3 + 3*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 248 or -2980?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0272? (a) -3\/44 (b) -2 (c) 1 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, a: 4, e: 2, k: 4, c: 8}. What is prob of picking 2 c and 1 e?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 plus -1.6?\nAnswer: -86.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, r: 1, y: 1, u: 8, b: 1}. Give prob of picking 1 s, 1 y, and 1 r.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*f + 5*f**2 - 10*f)*(-f**3 - 2*f**2 + 2*f**2 + (-2*f - 3*f + 4*f)*(f - f + 2*f**2)).\nAnswer: -15*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**2 - 36 - 14*x**2 - 34*x + 34*x.\nAnswer: -11*x**2 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 55*v + 33. Let d(x) = -7*x - 4. What is 33*d(b) + 4*y(b)?\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*s = -14*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 5.7.\nAnswer: -0.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -165\/412?\nAnswer: -165\/412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1086\/156 - 7)\/((-2)\/8)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 335 + 61. Let b be 2*1\/6 - (-20768)\/j. Let a(w) = -7*w + 3. Let g be a(-6). Calculate the greatest common factor of b and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + h**3 - 22.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - -1.5. Let r = i - 2.6. What is the third biggest value in 1, r, 2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -32, 0, 56, 142, 264, 428, 640?\nAnswer: 906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -203.1 - -1248.1. Let d = -1044.92996 + q. Let v = 0.07 - d. What is v rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 14562 and 0.097.\nAnswer: 14562.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -467, -5, -1, -87 in decreasing order.\nAnswer: -1, -5, -87, -467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(3\/20)*j**23)\/(j**22\/(j\/(j*j**(7\/10)\/j))))**(-42) assuming j is positive.\nAnswer: j**(-903\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -30*h**2 - 1. Let l(w) = -2024*w. Determine l(j(z)).\nAnswer: 60720*z**2 + 2024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 - -40. Suppose -278 = 2*k - q. Let t = -93 - k. Let s(n) = -n**3 - 6*n**2 - n + 3. Calculate s(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3*n)**(-24)*(n*n**(-2))**(-1\/13) assuming n is positive.\nAnswer: n**(-1247\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*x = 1919 + 304, 0 = u - 2*x - 2223. What is the highest common divisor of 18 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1777*a**3*d*h - 11*a**3*d + a**3*h + 1075*a**2*d + 7*a**2*h + 8*a*h wrt a.\nAnswer: 10662*d*h - 66*d + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)\/d**(-3\/2))\/(d*d**(-2)*d**(-1)) assuming d is positive.\nAnswer: d**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 9:50 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -35, -238, -575, -1046, -1651, -2390?\n\"Answer: -67*o**2 - 2*o + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsbnrbnnnsnnnsnrnrbr. Give prob of picking 1 n and 1 s.\nAnswer: 27\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + -3 - sqrt(5) - sqrt(5))*-3 - (sqrt(50) + sqrt(350)\/sqrt(7) + sqrt(50))\/sqrt(10)) + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*u + 18 = -8, -5*v = 5*u + 55. Let z be (v\/(-28) + 33\/105)*1. Is z <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/75*-6*2\/(-4)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84, -273, -572, -987, -1524, -2189, -2988?\nAnswer: -3927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93.191 - 93.26. Sort l, -2\/7, 1, 1\/8.\nAnswer: -2\/7, l, 1\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4)**(-40\/3) assuming y is positive.\nAnswer: y**(-160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -15. Let a = m - -27. List the prime factors of a.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11625)\/(-465))\/(45\/(-18))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -174, -2\/7, -1, -315, -6.6, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*3.91.\nAnswer: -15.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9225 and 2475.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7525677.2 - -2.\nAnswer: 7525679.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -54429759*u**2 - 14934584?\nAnswer: -108859518*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16449 is divided by 16357.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 1. Let r(h) = h - 6. Let z(t) = -t**2 + 5*t. Let f be z(2). Determine f*r(a) + 34*d(a).\nAnswer: 6*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030245 + 15.998?\nAnswer: 2030260.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 7. Let p(h) = 5*h + 4. Calculate the remainder when p(w) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at most as big as 29228\/4327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/3)*n)**(-4\/9)*(((n\/(n**0*n))\/n)\/n*n*n)**(-43))\/(((n**(2\/3)*n)\/n)\/n**(1\/2))**(-2\/15) assuming n is positive.\nAnswer: n**(-37\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 54. Let z be 0\/1*(-2 + 3). What is the remainder when 120 - (2 + (1 - z)) is divided by w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k - 16. What is m(-13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 61\/4, -2265, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 6*n**2 - 7*n + 3. Let w = -35 + 38. What is the remainder when u(-7) is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**2 - 2035*y + 10268. Give r(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 11*l**2 + 6. Let x be i(-8). Suppose -q + x = 10*q. Solve -q = f + 5*n, -3 = 5*f + n - 5*n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2. Let g(t) = -5261547*t. Give g(b(n)).\nAnswer: -10523094*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -19920 to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1564668 and 9588857?\nAnswer: 8024189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 667351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 300785903?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.08 - -1.08. Let g = -20 + 17. Let f be g*(-4)\/24 - 1. Which is the nearest to f? (a) -2\/13 (b) 1\/6 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 116 - 55. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/335, -0.1, 11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -15*n + 383. Let t be d(0). Let z = t - 417. Sort z, 0, 4 in decreasing order.\nAnswer: 4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20 - 18. List the prime factors of (j*1737\/72)\/(1\/4).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 5*t - 22. Suppose 2*h + 4*s = 14, 0 = -h + 19*s - 16*s - 3. Calculate p(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4560 and 110.\nAnswer: 50160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h - 15. Calculate i(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 107352717 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*f = -219 - 743. Solve f = 3*c + 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2511541 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/182511 - 6509689\/11863215. Let t = l - 2\/39. Let a be 5\/2 - (-2)\/(-4). What is the third biggest value in -2\/7, a, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 11. Let b be -4*((-3)\/x)\/1. Suppose 0 = t - 2*q + 1 + b, 0 = t + q - 5. Solve 2*f = 6 + t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/16 + (-1110)\/(-48). Let o(p) = 3*p - 2*p + p + p + u. Let q be o(-5). Solve -4*k + 4 + q = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxgyn. What is prob of sequence ng?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -33624570 != -33624573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 - -64. Which is smaller: -20 or t?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2209\/11 - 201. Which is the biggest value? (a) -6 (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 184 and 116?\nAnswer: 5336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*d - 1. Let y = -7 - -6.98. Let p = -0.02 - y. Which is the nearest to d? (a) -2\/13 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 138 = -4*d, -d - d - 4*c - 76 = 0. Let z = d - -43. Calculate the remainder when z is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(1\/17)*i))\/i**(21\/8) assuming i is positive.\nAnswer: i**(-501\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 310\/(-93)*(-6)\/5. Solve 0*r - u*r - 4 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -80*j**2 + 730*j - 1465. Give w(2).\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.74 times -54.169?\nAnswer: 744.28206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/6)\/(((-3)\/(-10))\/((-126)\/(-70))) + 7?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.126.\nAnswer: 0.0378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*p = 139*p - 6. Let d = -1 - -3. Let v = 1 - d. What is the closest to 0 in p, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-1))\/(4\/72*15). Let t(i) = -12*i + 63. Let u be t(6). Sort u, 4, -3, h in descending order.\nAnswer: 4, -3, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 8285332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + c + 4. Let f be g(0). Let p be 342\/72 - (-2)\/8. Which is smaller: f or p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4 + 0 = 0. Let z be y\/(-2 + 3) + 4. Suppose 3*b + z*k + 35 = 6*b, -3*b + 5*k + 47 = 0. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 11*q - 6. Let u = -159 - -247. Let b = u - 84. Give l(b).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 28*k - 185. Determine i(-21).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9811, 9774, 9717, 9634, 9519, 9366, 9169?\nAnswer: 8922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*w - 10, 0 = z + 3*w - 1903. Let o(l) = 6*l + z + 2*l - 1901. Determine o(-5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5ab03 (base 12) in base 15?\nAnswer: 2649c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, 98, 303, 584, 929?\nAnswer: 1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**4\/15 - 16448*x**3\/5 + 5195306*x**2 - 5969757820*x\/3 = 0. What is x?\nAnswer: -26182, 0, 755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 14) to base 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 3*o - 828 = 0. Let h = 120 + o. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -720 - -715. Sort -4, 0, q, 6 in ascending order.\nAnswer: q, -4, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 0.1, 1\/3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-280))\/((-2)\/(-14))*-20?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**6\/24 - 19*o**5 + 375*o**4\/8 + 1135*o**3\/3 + 133*o**2 - o. Factor i(w).\nAnswer: 5*(w - 227)*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 1979043703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -36 (b) -10 (c) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*i - 8*i + 0*i to s + l*i and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 - -80. What is the least common multiple of 8 and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3718\/85 + 1579747\/36040. What is the common denominator of b and -29\/1272?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 2*b + 6*b)*(2*b - 2*b + 3*b**2) + 2138*b**2 - 1071*b**2 - 1028*b**2 + 48*b**3.\nAnswer: 51*b**3 + 39*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 68 = -228. Suppose 15 = 7*f - z. Solve f*s = -5, -2*g + s = -7*g - 11 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -444802.9175 rounded to the nearest 10?\nAnswer: -444800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7564 (base 8) in base 7?\nAnswer: 14351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - w**2 + 2)*(30967 - 61033 + 30758)*(-1 - 3 + 2).\nAnswer: 1384*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/83761 - -12396754\/5276943. Let n = 16\/9 - c. Let z = -0.77 - -4.77. Put z, n, -1\/3 in ascending order.\nAnswer: n, -1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by -4 + 378\/10 - (-4)\/(-5)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72711*c**2 + 31868*c**2 + 162539*c**2.\nAnswer: 267118*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 99, 4, -28, 31 in ascending order.\nAnswer: -28, 1, 4, 31, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2438*l**4 + 29*l**6 + 2429*l**4 + 2*l**2 - 726 - 1495 - 3*l**6 wrt l?\nAnswer: 3120*l**3 - 216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -448903019737?\nAnswer: 448903019736.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78.11 + 78. Sort -5, f, -2\/9 in decreasing order.\nAnswer: f, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 11:46 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 0.012 (c) -4 (d) 2 (e) -142 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40043063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.573 + 0.197. Let n = s + -1.770286. What is n rounded to five decimal places?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -393 - -713. Let h = -290 + z. Calculate the remainder when h is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20, -291, -1054, -2549, -5016?\n\"Answer: -40*b**3 - 6*b**2 + 27*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18\/15*(-50)\/90\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5 + 5*z**3 + 0 - 3 - 3. Give h(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 128. What is the units digit of q(-28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -23\/5, -0.1, -7, 9, 2, -1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -b - 12, -227*x = -226*x - 3*b - 46 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 302.2\nAnswer: 300.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 - h**3 + h**2 + (-h - h + 0*h)*(h**2 - 2*h**2 - h**2) - 128*h**3 - 1642*h**2 + 1642*h**2 as v*h**2 + c*h + d + x*h**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4279?\nAnswer: 11, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((((g\/g**(-3))\/g)\/g)\/g*g)**44)**(-29))**(2\/53))**(-14) assuming g is positive.\nAnswer: g**(71456\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/1*-2)\/(-25*7\/(-175))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 1. Let y(m) = 2*m + 3. Let x(g) = -7*h(g) + 4*y(g). Let c be x(-6). What is the nearest to c in -3, -0.4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 56 - 55. Let g(o) = 7*o - 3. Let a be g(t). Suppose -a*q + 39 = f - 1, f = -3*q + 30. Calculate the smallest common multiple of q and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 9:16 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6698316 and 1068?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/5 - 8\/(-5). Does 4 divide 225\/21 + h\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 43. Put 4, -0.01, 6, f in decreasing order.\nAnswer: 6, 4, f, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 8, g: 11, r: 1}.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1922, -1932, -1938, -1940, -1938, -1932, -1922?\nAnswer: -1908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from zzzzzzzzppzzzzzzzzz.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 47\/4 of a kilogram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (43\/(12040\/(-168)))\/(3\/230)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 0) + -5 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 323851473.\nAnswer: 323851473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 u, and 2 s when four letters picked without replacement from uosjxosxxuxxxxxoxux?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - 4*a + a - 2*a - 3*a + 7*a + 3*a + 1 - 1 + a + 0*a - 4*a + 4*a + 3*a - 5*a + (0*a - 3*a + 5*a)*(1 + 4 - 2) - 5*a + 5*a + 2*a.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*p - 13. Suppose -2*k = v - 20, p*v - 3*k = 3*v + 10. Suppose 80 + v = 4*z. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 3:05 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 q when two letters picked without replacement from {d: 2, b: 4, k: 3, q: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 10*h + 5. Let i be s(-8). Suppose 2*f = 3*t + 17, f - i = 7*t - 3*t. Is 2 - ((0 - 96) + f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 5356 - 10244 = 0. What is q rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(4\/11)*q)\/(((q*q\/((q\/q**(-5)*q*q)\/q))\/q)\/q)*(q**0*q)**(2\/85) assuming q is positive.\nAnswer: q**(9712\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/3020 and 47\/20.\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 272 and 58220648.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(756)*-3*-4 - sqrt(756))\/sqrt(12).\nAnswer: -2 + 33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -m - 4*m + 24, 5*a + 4 = -m. Let s(c) = 12*c - 1. Let n = -15 + 16. Calculate the remainder when s(n) is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*v = 103*v + 3*h - 11, 3*v = -5*h + 12 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 160.2 - 160. Is x smaller than -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 9:40 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21217\/10 + -2133. Let h be -583*(-3)\/(-2982) - -1. Let x = h - 4\/71. Find the common denominator of x and d.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 - (-2)\/6)\/(-705*(-19)\/8208) and 103\/10?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 + -630809251722\nAnswer: -630809251755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.3 - -0.07.\nAnswer: 19.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5 - 2 + m + 0 + 1. Suppose -s - 17 = -4*g, 3*g - 6*s + 4*s = 14. Calculate the smallest common multiple of f(8) and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -7*q**4\/12 + 2*q**3\/3 + 2594*q**2. Let l(f) = 27*f. Determine h(l(g)).\nAnswer: -378*g + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24930 = -273*d - 367*d - 745*d for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/417600 and -83\/242400.\nAnswer: 42177600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 + 372*i**3 + 13401*i**2 + 108528*i - 122304.\nAnswer: 3*(i - 1)*(i + 13)*(i + 56)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwuuwwwwuww. What is prob of sequence uuw?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 1. Let y be w(-1). What is the derivative of -q - y + q + 7 + q**3 wrt q?\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 times -44\nAnswer: -136.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 9:03 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 6. Suppose 5*m = 3*z - 11, 3*z - z - 5*m - 9 = p. Solve 0*v - 10 = -z*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1\/4)\/n*n)**(-12)*(n\/n**(1\/6)*n)**(-17) assuming n is positive.\nAnswer: n**(-241\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233214 (base 8) to base 5.\nAnswer: -10021000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -360099553 divided by 5\nAnswer: -360099553\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + 0)\/((-8)\/(-16)). Solve -4*c - k = -20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166497, -332993, -499491, -665991, -832493, -998997, -1165503?\nAnswer: -1332011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 + 1202*v - 35610.\nAnswer: -(v - 2374)*(v - 30)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (8 + 2 - 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 5)*((-20)\/(-3) - 15\/45)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 108 + -108.2. Let g = 229 + -224. What is the third biggest value in g, 34, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -120.82 - -130.289. What is c rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*g - 27 = 23, 5*q + 3*g = 26. Let t(k) = -k**2 + 10*k - 13. Let p be t(q). Suppose 0*f = -f + p. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 1 - g**3 - 3 + 10*g - 16*g + 8*g**2 + 3. Give s(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1500 by 2.\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -340\/9, 4\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 179071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w = 640 - 2880. Calculate the remainder when w is divided by 61.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n**2 + n. Let a(u) = 6*u**2. Let t(c) = c**3 + 2*c**2 - 14*c + 5. Let f be t(-5). Suppose -3*r = f, 3*z + 3*r = -16 + 1. Give z*b(x) + 4*a(x).\nAnswer: -x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3945?\nAnswer: 3, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-8))\/((-3)\/(-6)). What is the third derivative of 5180*s**q - 5180*s**3 + 58*s**4 - 49*s**2 wrt s?\nAnswer: 1392*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 379, 407, 435, 463, 491?\n\"Answer: 28*f + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -3.19 (c) 0.1 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17085991\/18 or 949221?\nAnswer: 949221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - -9. Calculate the highest common divisor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -250*x**2 + 49005*x + 47*x**2 - 111*x**2 - 49005*x.\nAnswer: -314*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149723868?\nAnswer: 2, 3, 7, 29, 61463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 1:01 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 26*f**2 + 3541*f + 727. Give r(-136).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 + b**2 + 0*b**2)*(-2 - 2 + 3) + (b + b + 0*b)*(-3*b + 3*b + b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -66 (b) -46 (c) 0.4 (d) 8\/7 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 8:53 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 45371 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3*d - 440. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 - 1)*(6*g + 11*g - 8*g) to t + r*g and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -14, -0.3, 5, -15\/8, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 954 (b) -1\/21 (c) 1\/463\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -6602.8 times -0.2\nAnswer: 1320.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 2*j = -2*k + 35, 0 = -44*k + 46*k + 2*j - 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173247*s - 18838*s - 35770*s.\nAnswer: 118639*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = 3*o + 2*l, -646 + 678 = -5*o - l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 24, -5, -2, 208, 3, 40 in descending order.\nAnswer: 208, 40, 24, 3, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 903*t + 55. Let f be y(6). Suppose -f = -9*o + 7676. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from {b: 3, k: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 128028, 128026, 128024, 128022, 128020?\n\"Answer: -2*x + 128030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 94704 and 110488?\nAnswer: 662928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i + 13*i**2 + 0 - 1 - 3 - 15*i**2. Let c be o(3). Let x = -11 - c. Solve 0*y + x = 2*y - 3*b, 50 = -5*y - 5*b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-21)*i\/i**(-15) assuming i is positive.\nAnswer: i**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52 and 10972?\nAnswer: 10972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -5, 1\/2, -0.9, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 7:25 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2 + 5*h**2 - h**3 + 1 - h**2 - 2*h**2 + 2*h. Let j be u(2). Suppose 0 = j*f - 6*f. Which is smaller: 1\/17 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 37 = 4*h - 4*x, -3*h + 5*x + 45 = 0. Suppose 8 = -h*z + 8*z. Which is the third smallest value? (a) z (b) -0.07 (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -328 - -330. Let n(s) = 35*s**v - 63*s**2 + 31*s**2. Let w(r) = -31*r. Calculate n(w(k)).\nAnswer: 2883*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 28 + -24 - (2 + -2). Suppose -c = 4*c. Suppose -3*p + 0*p + 143 = 2*d, -d + r = c. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -935*s + 2365*s - 75790 for s.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2264493400?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 - 7*z**2 - z - 6. Let k(x) = -8*x**3 + 27*x**2 + 4*x + 26. Determine -2*k(t) - 9*m(t).\nAnswer: -2*t**3 + 9*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -2*i + 9*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -449, -446, -443, -440, -437, -434?\n\"Answer: 3*w - 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/41284587 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 5) in base 14?\nAnswer: 2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 + 4*o**2 - 4*o**2. Let q(u) = -44*u. Give q(a(c)).\nAnswer: -88*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9, g: 7}. Give prob of picking 3 b.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -264d (base 16) to base 14\nAnswer: -3805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c + 61530 = 50*c. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*s + 101*s + 3 = 0. Let a = 14 + -12. Solve 2*y = s*p - 16, a*y - 7 = -3*p + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r + 2. Let l be 24\/(-8) - (4 - 1). Let c(y) = -3*y + y + 2 + 4. What is l*t(o) + c(o)?\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1. Let x(c) = c**2 + c. Let g(h) = h**2 + 2*h. Let a = -564 + 562. What is a*x(m) + y*g(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 2812.2.\nAnswer: 2812.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3724*o + 2*n = -3729*o + 26, o + 3*n = 0. Let m(u) be the first derivative of -o*u**2 + 2*u**3 + 3\/4*u**4 - 18 - 24*u. Suppose m(v) = 0. Calculate v.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o + 132 = -6. Let k be (3180\/90)\/(4\/o). Which is the second smallest value? (a) k (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -2\/11. Which is the third biggest value? (a) s (b) -0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 8*b**2 + 15*b - 75. Give g(8).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/(420\/(-21)))\/(15\/20))\/(44\/48).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 2*j + 3*t, -5*j = -t - 20 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**3 - 243*q**2 - 250*q + 1464 = 0.\nAnswer: -3, 2, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 168.3?\nAnswer: 164.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**2*s**3 - 2*d**2 - 34*d*s**2 + 2*s**3 wrt d.\nAnswer: -2*s**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/316 and -36\/553.\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4 - 396*x**3 + 3900*x**2 + 70700*x + 204000.\nAnswer: 4*(x - 85)*(x - 24)*(x + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11193088 is divided by 1095.\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 667307 and 2727?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 77176.55 nanometers?\nAnswer: 0.00000007717655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 15 + 4 - u - 6 + 7. Is 11 a factor of t(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**7\/(h*h**0*h))\/(h*h\/(h*h**(3\/8))*h*h**(-4)))**(-43))**(-27) assuming h is positive.\nAnswer: h**(68499\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 21*b**2. Let l(u) = -12*u + 11*u - u. What is l(q(x))?\nAnswer: -42*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4 - 777\/(-6). Suppose 3*d - u = -2*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 11*a**2 + 9*a + 3. Suppose -57*c + 56*c = -5. Let b be 26\/2 - (3 - 0\/c). Determine x(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-4)\/1*144\/(-1344).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v - v + 2*v)*(645*v**3 + 1207*v**3 - 1197*v**3 + 1) as i*v**3 + a*v**2 + b + h*v + x*v**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -7) + -5 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437815 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/121031039 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 14 = -4*o, 2*t + 14*o - 10 = 12*o. Suppose 15 = -0*v - 5*v, -184 = -5*c + t*v. What is the remainder when 242 is divided by c?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 26. Let h be (-2)\/(-7) + 24\/14. Let c(k) = -h*k**2 - k**2 + k**l. Let x(y) = -2*y. Calculate x(c(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 18. Which is the smallest value? (a) -0.3 (b) -3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Suppose -u*m - 4 = 2*m + 3*f, 5*m + 2*f = 2. Suppose -5*y = 3*i - 60, -m*y = 5*i - 29 - 52. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 k when four letters picked without replacement from kxkkkxkxkxxkk?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-1) - (-2)\/(4\/6). Suppose 20 - 13*z + v*z - 5*z**2 - 6*z = 0. Calculate z.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 15\/(-21)) + (640\/35)\/8. Let j(a) be the first derivative of 0*a**3 + 8*a**r - 5 + 0*a - 3*a**4 + 4\/5*a**5. Determine d so that j(d) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*y + 223*y - 13618 = -84*y - 181*y for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 28.36504g?\nAnswer: 28365040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*o - 2*o**2 + 22*o)*(5*o - 4*o + 7*o - 1) to j*o + q + s*o**2 + f*o**3 and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-15)\/(5\/1). Let m = c - 60. Let a = 66 + m. What is the highest common divisor of 1 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37.4183 and 0.2.\nAnswer: 7.48366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -7*p**6\/72 + 85*p**3\/3 - 87*p**2 - p. Let s(r) be the first derivative of l(r). Let g(j) = -3*j**2. Give s(g(n)).\nAnswer: -315*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -11*r + 42. Let k(w) = 16*w - 63. Suppose 0 = -5*m + 152 + 123. Let u = 50 - m. Let y(i) = u*k(i) - 8*j(i). Find the first derivative of y(l) wrt l.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + -2)*(1 - 2). Let m(t) = -34*t**3 - 4*t**2 + t - 2*t + 73*t**3 - 38*t**3 + 4. Determine m(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -26 - 32?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (142 - 75 - 65 + 39*g**2)*(-3*g + 2*g + 2*g) in the form d + v*g + o*g**2 + k*g**3 and give k.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3785 and 168?\nAnswer: 635880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 3*s + 1. Let f be i(-4). Let g(l) = -6*l + 4. Let d(k) = 14*k - 8. Let t(m) = -2*d(m) - 5*g(m). Let h be t(f). Is 5 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-2) + 50\/20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2 + 2*j - 5*j + 2*j. Let f(a) = a**2 - 6*a - 3. Let z be f(6). What is the remainder when 8 is divided by n(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 7:29 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 - -43.7. What is the second biggest value in 5, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31882 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (4784\/3120 + (-8)\/(-3))\/((-95)\/10 - -11)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110110000110111111 + -1100?\nAnswer: -111110110000111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 - 52. Let g = 20 + l. Suppose 0*j + 112 = g*j. What is the remainder when 54 is divided by j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*y**3 + 14*y**3 + 2 - 18.\nAnswer: -12*y**3 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 244 - 142. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/21 and 113\/366?\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of t**6\/30 + 14*t**5\/15 + 49*t**4\/6 - 7*t**2\/2 - 12. Let i(b) be the second derivative of j(b). Find v such that i(v) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 times 17585?\nAnswer: 316530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 176396631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.4 and -3.26278.\nAnswer: 0.13722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 187.3 (b) 0.3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 936 = r. Let s = -30 - -10. Let j be 5\/s - (-33)\/4. Calculate the highest common factor of j and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82951.\nAnswer: 11, 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24853383*h**4 - 106509049*h.\nAnswer: 298240596*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00710009 to five dps.\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3780 = 46*z + 4286 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9 + 9080516?\nAnswer: 908050a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b + 55577 - 55577. Let m(z) be the first derivative of 2*z**3\/3 + 8. What is v(m(a))?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(1*sqrt(10)) - (sqrt(6)\/sqrt(3) + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 68. Calculate the lowest common multiple of 15 and g.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10183, -20362, -30545, -40732, -50923, -61118?\nAnswer: -71317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.04 - -4. Let l = j + 0.34. Let h = 0.01 - -2.99. What is the nearest to -0.1 in h, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100501.\nAnswer: 100501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18795, -37582, -56359, -75120, -93859, -112570, -131247, -149884?\nAnswer: -168475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -698? (a) 1 (b) 10 (c) -0.4 (d) 0.5 (e) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(135) + sqrt(15))\/(sqrt(315)\/sqrt(7)).\nAnswer: -5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 22 - 10. Let o = u - 3. Suppose 2*a + t = 17, 2*a + 2*t = -o*t + 18. Calculate the smallest common multiple of a and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 86, 176, 270, 368?\n\"Answer: 2*u**2 + 84*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -37, -29, -17, -1, 19?\n\"Answer: 2*s**2 + 2*s - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (480\/(-64))\/(0 + -3). Which is the second smallest value? (a) 4 (b) 2\/5 (c) 39 (d) k (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oottituiu. Give prob of picking 1 i and 1 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 997*g**2*v**3 - g*v**3 + g + 90*v**3 wrt g.\nAnswer: 1994*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5441707889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 847 + 297\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30568 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*y - 222 = 0. Let s = 149 + y. Let p be s\/6*6\/15. Solve 3*f + 4 = p*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -w, 0 = -42*n + 37*n - w + 37 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -595.831 rounded to the nearest 10?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - 2 + 5 + 3*x**2)*(-1 + 2*x + 1).\nAnswer: 2*x**3 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (1 - 0 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4 = r - 25, -5*r + 122 = 3*f. Does 25 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + sqrt(35) + sqrt(70)\/sqrt(2))*6)\/(sqrt(20)\/(sqrt(4) + sqrt(16) - sqrt(4))).\nAnswer: 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p*p*p*p**(-27)*p)\/p**(-5)*(p**(13\/3)*p)**10)**(-7\/2) assuming p is positive.\nAnswer: p**(-392\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -31\/1371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**8\/336 + 19*r**7\/525 + 13*r**6\/75 + 28*r**5\/75 + 2*r**4\/15 - 16*r**3\/15 - 72*r**2. Factor s(w).\nAnswer: (w + 2)**4*(5*w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1558 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81 + -43. Let g = -38 + q. Suppose 6*b - 2*b - 12 = -3*t, -5*t = 2*b - 6. Solve g = 2*c - f + b, 4*f + 9 = -3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 6, -37\/58, 4\/3?\nAnswer: -37\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8056 = -2*r - 2*f, 7*f - 6*f + 32224 = 8*r. Is r a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h + 3*h - 4*h - 5*h + 1 - 1 + (-2*h + 5*h - 2*h)*(4 - 5 + 2).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*d + 15*d + 57*d)*(-4*d - 189 + 91 + 97).\nAnswer: -176*d**2 - 44*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*b - 95*b + 17010 = 0. Suppose b*d - 13230 = 305*d. Is d a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c - 2 - 22 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x - x - 97 + 96. Suppose -5*a + 5*g - 35 = 0, a = -4*g + 2*g + 8. Let i be z(a). Let d(r) = -r**3 - 3*r**2 + 3. Calculate d(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*k = 2102 - 5621. Let j(y) = -y**3 - 11*y**2 - 13*y - 13. Let v be j(-10). What is the greatest common factor of v and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 651135.\nAnswer: 3, 5, 83, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 + n - 5. Let r be c(-3). Suppose -r = -2*q - 18. What is the tens digit of (1 - 175)*(-3 - 10\/q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 206*w + 10608. Give t(102).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 295460000 to the nearest 1000000.\nAnswer: 295000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149928 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 697484015?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -179 + 108. Let z = v + 160. Let g = -88.9999907 + z. What is g rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -17*c. Let a = -12 + -4. Let p be (-1)\/(68\/a - -4). Let x(b) = -2*b**2 + 7*b**2 - p*b**2. Calculate x(u(r)).\nAnswer: 289*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*w = 8, 2*n - 1 = -4*w + 17. Let g be n + -3 + (8 - 2). Suppose 3*k + 2*j = 805, -g*k - 5*j + 0*j + 1085 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 686846 is divided by 899.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fj when two letters picked without replacement from jztpfzfztfppjtppfj.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 119*b**2*f + 6691633*b**2 - 2929*b*f**3 wrt f?\nAnswer: 119*b**2 - 8787*b*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1700, 1755, 1810, 1865?\n\"Answer: 55*p + 1645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 85. Let t be (37\/74)\/(((-6)\/h)\/3). What is the hundreds digit of -914*1\/(-6) + t\/33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - -1*sqrt(2)*2 - 2*sqrt(162))**2 + (sqrt(32) + 5 - (sqrt(128) - -1*sqrt(128)))*5.\nAnswer: -60*sqrt(2) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -0.4, 4, -29.84, 2 in decreasing order.\nAnswer: 4, 2, -0.4, -13, -29.84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -69 + 82. Solve 2*l = -q - c, 0 = -l - 5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4))\/((4\/24)\/((-140)\/42))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + 1\/1*12. Let j be (-2 + 4)*21\/k. Factor -5*a**j + 4*a - 4 + 0*a**2 + 4*a**2 - a**3 + 2*a**3.\nAnswer: -4*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169760813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/11 (b) 0.9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 232353233 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11220838*a**2 + 5*a**3 + 11220818*a**2 - 22441656*a**2.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 3*o + 1, 4*o - 12 = 4*z - 16 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2\/4 - 6751*g\/4 - 351310 = 0. Calculate g.\nAnswer: -6536, -215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence niuu when four letters picked without replacement from {j: 3, i: 1, n: 2, q: 9, u: 2}?\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**6 - 13*f**5 + 1473168*f**3 - 24*f**2 - 2706*f - 1.\nAnswer: -240*f**3 - 780*f**2 + 8839008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1742 + 3237c?\nAnswer: 30b3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ubbubxbbububbbxuxxu. What is prob of picking 3 b and 1 x?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 7*p - 47. Let l be s(8). Suppose -l*q - 90074 = -19109. Let d = -4285 - q. Round d to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1042043481 rounded to five dps?\nAnswer: -0.1042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/6)\/(1\/2). Suppose -6 = -n + 2*x, g = -5*x - 3. Suppose n*s - 489 = s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 6 = -3*z. Suppose 52 = 12*o + 55*o - 15. Which is the fourth smallest value? (a) 2 (b) o (c) z (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 282415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 7337?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 - -69. Find the third derivative of 22*q**4 - 19*q**4 + 126*q**w - 2*q**4 - 59*q**6 wrt q.\nAnswer: -7080*q**3 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 2*u - 2. Let t(n) = -2*n**2 + 3*n + 3. Let k(g) = 6*o(g) + 4*t(g). Let f(r) be the first derivative of -2*r**3\/3 - 44. Determine f(k(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 0*n**4 - 1\/480*n**6 + 1\/120*n**5 + 0 + 0*n - 3*n**2 + 0*n**3. Suppose f(z) = 0. Calculate z.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 6:05 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*f**3*h**2 + 13*f**3*h + 5108*f**3 + 2 wrt h?\nAnswer: 28*f**3*h + 13*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 101 and 88450144?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -17. Let w = j + 10. Suppose -5*q + 55 = -4*d - 37, -q - 5*d = -w. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*s - x + 208959 = -32*s, 5*s = -2*x + 1044801. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 - 4*w + 1. Let p be l(-2). Let a(g) = 12*g + 5*g**2 - p - 13*g + g**3 - 2*g**3 + 2. Give a(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from muunmnmn. Give prob of picking 3 n and 1 m.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzlr when four letters picked without replacement from {r: 2, f: 7, h: 3, z: 5, l: 3}.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -2. Let t = -22 - -27. Let l = 4 - t. Which is the second biggest value? (a) g (b) l (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*x + 65, 2*x + x - 2*c = 59. Let u be -2 + 1 - (-2 - x). Calculate the greatest common divisor of 286 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5540 or -5492?\nAnswer: -5492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(25)\/(sqrt(15)\/sqrt(3)) + sqrt(55)\/(1*sqrt(11) + sqrt(11)) + sqrt(20)\/(sqrt(576)*3))*2)**2.\nAnswer: 378125\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 6*a**2 - 13*a + 10. Give f(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1) + -3 + -12 - (-10946 - -11008)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8512, -8420, -8328, -8236, -8144?\n\"Answer: 92*r - 8604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 4:47 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -4) + 30 + -29 + -13 - -24\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 + i**3 - 4*i**3)*(2 - i - 2 + (6 + 1 - 5)*(-i + i - i) + 0 + 0 - 2*i + 4 - 4 - i).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 8*y**2 - 8*y - 5. Let u be i(-7). Suppose u*s + 10 - 42 = -3*f, -4*f = -8. Calculate the remainder when 101 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/6)\/(7\/21). Let f(z) = 3*z - 33. Let t(j) = j - 16. Let r(a) = n*f(a) + 5*t(a). Let o(q) = q**2 + 67*q - 2300. Let u be o(-92). What is r(u)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144569 divided by 1?\nAnswer: 144569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -233 - 4*p + 233. Let g(a) = a + 3*a + a - 3*a. Give s(g(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in -0.2, 5, 17, -37?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 370859*l + 138270?\nAnswer: 370859","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 128*c**4\/9 - 2080*c**3\/9 + 2278*c**2\/3 + 670*c + 132 = 0. Calculate c.\nAnswer: -3\/8, 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0547 less than -4.05?\nAnswer: -4.1047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 9*v + 9. Let g(f) = f**2 - 4*f + 4. Calculate -9*g(o) + 4*m(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60701\/24 - -2532. Let u = -71512\/1503 - -232079687\/12024. Let f = 19258 - u. Calculate the common denominator of p and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, z: 1, b: 1, y: 2, l: 6}. Give prob of sequence zlb.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 776.0055 to the nearest ten.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.839 + -4.709. Which is the third smallest value? (a) l (b) 1 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20186730, 20186725, 20186718, 20186709, 20186698, 20186685, 20186670?\nAnswer: 20186653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k - 1. Let r be a(-3). Let j(z) = -6*z**2 - 4*z - 13. Let u(g) = 2*g**2 + g + 4. Determine r*u(i) - 2*j(i).\nAnswer: -2*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*o + 2350 - 2112 = -1016 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-144)\/28)\/(-2) - 2. Let z = 2.5 + -1.5. Is o less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69693 + -69692. Let b(o) = -8 + o + 2*o + 4 + 2*o**2. Calculate the least common multiple of b(-3) and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzx when three letters picked without replacement from {x: 12, z: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8822380 (base 9) in base 16?\nAnswer: -484eff","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16655\/2148 - -2\/537. Calculate the common denominator of 70\/3 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9529 is divided by 9509.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 2)*-2 + (sqrt(48) + sqrt(3) + -4)**2.\nAnswer: -42*sqrt(3) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-210)\/(-40) + (0 - (-2)\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3330.999997251 + -3331. Round z to seven dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221341 (base 6) in base 2?\nAnswer: 11011010010111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - sqrt(270)\/(sqrt(36)\/sqrt(4)))\/sqrt(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 divided by -22342?\nAnswer: -306\/11171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -527*g**4 - 20*g**2 + 8*g wrt g?\nAnswer: -12648*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 5*v - 3*v)*(3 + 0 - 7)*(-19 + 1 - 24).\nAnswer: 336*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**5\/10 - 28*f**4\/3 + 80*f**3 - 10428*f. Suppose p(l) = 0. What is l?\nAnswer: -60, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*z = 1638*z - 6151 - 27701 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.28 - -0.28. Let p = 2 - 1.1. Let h = p - -3.1. What is the nearest to -2\/7 in b, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.77 - 3.77. Put 2, -0.02, v in descending order.\nAnswer: 2, -0.02, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 21 = -3*y, -y + 2*b = b + 2. Let w(v) = v**3 - 3*v**2 - 3. Let a = 6 - 4. Suppose -a = -t + 1. Let p(l) = l**3 - 5*l**2 - 5. Give t*p(c) + y*w(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010 - 0?\nAnswer: 11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1200682.\nAnswer: 2, 7, 139, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 - 4*q**3 + 5*q**3 + (-q**2 + 0 + 0)*(37*q + 16*q - 21*q) - 12*q**3 + 52 + q**2 - 52 as d*q + a*q**3 + r*q**2 + x and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254725021?\nAnswer: 4337, 58733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 4. Let t(n) = n - 5. Let h(x) = 5*p(x) - 4*t(x). Let l be h(-8). Let a be ((-65)\/(-2))\/((-4)\/l). What is the greatest common divisor of 26 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1133*(3 - 1)\/2. Let l = -576 + z. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -207*s - 10760. Let c be y(-52). Solve -z = -c*l - 11, -z + 19 = 2*l + 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 495811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**4\/12 - j**2. Let p(x) be the third derivative of x**4\/12 + x**2. Calculate p(a(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 86835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 1)*(-2)\/(-2). Let k(l) be the third derivative of 1\/2*l**3 + 0 + 0*l + 37*l**2 + 1\/6*l**4 - 1\/20*l**5 - 1\/120*l**6. Calculate k(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -14*x**3\/3 + x**2 - 8716*x. Give k(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*k + 2936 = -1952 + 1017 for k.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.167 - -3.89338.\nAnswer: 4.06038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1139.\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -399*b - 27. Let y(x) = x**3 + 13*x**2 - 47*x + 12. Let n be y(-16). What are the prime factors of v(n)?\nAnswer: 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9231, -9245, -9259, -9273, -9287?\n\"Answer: -14*a - 9217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*m + 8, -4*m = 3*l - 8*m + 16. Let i = l - 1. Suppose -10*s + 14*s - 4 = 0. Is i bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 296 = -5*v, -163*g + 160*g + 65*v = 66*v + 55 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2*85*-5*(-1)\/(-1620) and 21\/22?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69794290379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 16, 35, 60, 91, 128?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2. Let s(n) = 6*n**3 - 3*n**2. Determine 4*q(p) + s(p).\nAnswer: 6*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -127 - -129. Suppose 3*q - 4*x - 25 = 0, -5*x - 4 = -u*q + 15. Suppose q*a - 193 + 4 = 0. What is the highest common divisor of a and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7919.56 from -1542745.\nAnswer: -1534825.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -46518 and -5969.\nAnswer: 277665942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2125.357 and 0.0186.\nAnswer: 39.5316402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/(-5) + (-3 - -5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 102330711 and 687?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -15299165\/106 less than -144331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1719931 is divided by 2500?\nAnswer: 2431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 46. Calculate the lowest common multiple of (-126)\/(-24) + i\/(-4) and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40226796 to the power of 1\/2, to the nearest integer?\nAnswer: 6342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 15 (c) -4\/9 (d) 62\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1332 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2932952625 a multiple of 14841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 934622 and 43363?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((-2)\/3779) - (-11)\/(-22). Suppose 0 = -23*l + f + 6230. List the prime factors of l.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51397066 to the power of 1\/2, to the nearest integer?\nAnswer: 7169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 13*x. Let r(m) = 7*m + 10028. What is r(f(y))?\nAnswer: 91*y + 10028","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10369*y - 141*y**2 + 140*y**2 + 10064*y - 20433*y.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/7*5\/(-70)*-2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 292.9 - 72188583.\nAnswer: -72188290.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 6*i**2 - 2*i - 3. Let s be h(4). Suppose -s*t + 12 = -18*t. Let z(y) = 2*y - 4 + 4 - t*y. Let l(a) = -3*a**2. What is l(z(q))?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 4*k + 103995 = 5*u - 0*k - 0*k + 103950, -u - 25 = 3*k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 12. Let u be -18*(-1 - 0\/3). Calculate the greatest common factor of d and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18749 or -11?\nAnswer: 18749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 43 (b) 1.0964 (c) -2 (d) 4 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51011381*k**3 - 50*k**2 - 299*k - 323.\nAnswer: -306068286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, -2\/9, 350\/117, -4 in increasing order.\nAnswer: -4, -5\/4, -2\/9, 350\/117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + -2. What is the second smallest value in -11, 1\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -16\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 241849379 to the power of 1\/2, to the nearest integer?\nAnswer: 15552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 940177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w = -0*w - 20*w + 6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 plus -771888817?\nAnswer: -771888807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/17, -3, 23, 1\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322330222 (base 4) to base 2.\nAnswer: -111010111100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*(sqrt(700) + 2 + -1 + -2) + 2)**2.\nAnswer: -60*sqrt(7) + 709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 7 - 1. Let x = -35 - -37. Solve 5 - x = -k*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and ((-91)\/(-21))\/13*147.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 10:31 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*c = 102*c + 72 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2 + 56\/16. Suppose i*o - 6 = -22. Let x = -214 - -217. Sort o, -1, x in ascending order.\nAnswer: o, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24719473517 - 3\nAnswer: 24719473514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000018929 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*n + 8 = 0, 0 = 5*m - 5*n - 20 - 5. Suppose -m*t - 2*t + 2495 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -327803 - -207903. Round l to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 + 2*n**2 + 4*n. Let j be b(4). Let g = 5595 - 5579. Calculate the highest common factor of g and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/10 of a centimeter?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -306 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 10:04 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 475235 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -614 at least as big as 66?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 0 + 0)*(-1 - 1 + 0)*(-6 - 11 - 5) + 5*k + 6*k - 13*k.\nAnswer: -90*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a26a - 19?\nAnswer: -a288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9436 + 9439. Let -3\/2*j + 0*j**4 - 1\/8*j**5 + 7\/8*j**p + 1 - 1\/4*j**2 = 0. What is j?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/1*3*-1. Let p = -6 - y. Suppose -5*j - 10 + 25 = p, 4*j = -3*a + 42. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47684 = 128*g - 43076 for g.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*w + 25 = 0, 0*y = -y + w - 1. Differentiate 4*l**2 - l**y - 3 + 2 wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/12)\/((-4)\/(-30)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4 - q**2 - 2 + 4 + 1 - q. Calculate the remainder when 2 - 2 - -3*4 is divided by m(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-14))\/(-1))\/(-5*(-138)\/99015)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z + 5. Let q(c) = 2*c + 2. Let r(j) = 7*q(j) - 3*v(j). Let f be r(-5). Suppose 0 = -k + f. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12680 times -0.097?\nAnswer: -1229.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362*g**2 - 1057*g**2 + 389*g**2 + 324*g**2.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -0.6 (c) -0.0022 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p + p + 13*p. Let w(n) be the third derivative of n**5\/60 + 179*n**2. What is w(j(m))?\nAnswer: 100*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 - 98. Let o = d + 44.99999986. What is o rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 3*y + 4. Let m(s) = 6*s**2 - 14*s + 22. Let p(z) = 2*m(z) - 11*r(z). Calculate p(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 + 29*z**2 - 12*z**2 - 11*z**2 - 11*z**2.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9577 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 48, 13 in ascending order.\nAnswer: 0, 13, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -185 and -0.5.\nAnswer: 92.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71 + 600.\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.56825 and -0.16079.\nAnswer: -0.72904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -98*232\nAnswer: -22736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3007 and 162994.\nAnswer: 166001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2416 + -2186. Solve 0 = 29*x - 75*x - o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iffufeffurfruf. What is prob of sequence if?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3101 - -3113. Let u(b) = 6*b - 1. Let y be u(1). Solve 2*l - f = 3*s + 5*l, -y*l - 29 = -4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*k - 26. Let b be k\/3*(-1)\/(-2). Suppose -b = 2*f - 6. Sort 3, -0.5, f, -3 in ascending order.\nAnswer: -3, -0.5, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -15*i - 125. Let w be s(-7). Which is smaller: w or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17.82 + 18.4. Let m = 0.57572 - d. What is m rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 18*i**2 - i - 24. Let p be m(-18). Let v(j) = 17*j. Let o(b) = -4*b. Suppose -689*f = -682*f + 182. Determine f*o(s) + p*v(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.89 + 0.11. Let z = s - 7.8. Let u = z + 0.8000003. Round u to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-177)\/295)\/(-6*3\/(-75))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 36 = -4*b, -8*b + 4*b = -z + 21. Suppose -4 = z*o - 109. Let r = -19 + o. Which is greater: 1\/2 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 50148*q. Let m(i) = -2650*i + 1. Determine m(u(z)).\nAnswer: -132892200*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen fifteenths of a minute in milliseconds?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/4830135875?\nAnswer: 2\/4830135875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + 30 + -75 + 16.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011 (base 2) to base 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 49. Suppose -2*z + 5*m = 54 - 230, 3*z - 264 = -5*m. Calculate the remainder when z is divided by i(-26).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**5\/30 - 5*g**4\/24 - 5*g**3\/6 + 18*g**2 - 2*g. Let t be s(-3). Does 46 divide 1\/(-3) - ((-2900)\/15 + t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19\/(-5*8\/40). Which is the second smallest value? (a) y (b) 3 (c) 2\/5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 6 = 14. Suppose l*w + 3*v + 57 - 10 = 0, 36 = -3*w - 3*v. Is (557\/(-2))\/(w\/22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence si when two letters picked without replacement from {s: 1, i: 1, x: 17}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*b - 701*b + 97*b = -58682 for b.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4526355?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2601047 (base 9) in base 4?\nAnswer: -11122023130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8220259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471585 is divided by 250.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10912912 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -1) + 2 - (0 - 1). What is the units digit of -34*i*4\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*r - 132, -3*r - y + 138 = -60. Calculate the least common multiple of r and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 159*q**3 + 78*q**2 + 2*q - 2. Let u(c) = -3500*c**3 - 1715*c**2 - 45*c + 45. Let p(h) = 45*r(h) + 2*u(h). Find the third derivative of p(y) wrt y.\nAnswer: 930","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n\/(n*n**(-5)))\/n))**(-46) assuming n is positive.\nAnswer: n**138","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 7. Let a = 8 + l. Solve 2*b - 2 = a for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 409*l**4 - 8*l**3 - 5*l**2 - 2*l + 462510?\nAnswer: 1636*l**3 - 24*l**2 - 10*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 3*w**2 + 3*w + 2. Let x(q) = -q. Let t(n) = g(n) + 5*x(n). Suppose -3*b + 14 = 4*b. Calculate t(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501750?\nAnswer: 2, 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i**4 + 120*i - 120*i + (-3 + 0 - 5)*(i - i - 3*i**4) to v*i**3 + b*i**2 + j + x*i**4 + w*i and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31313 (base 4) to base 2.\nAnswer: -1101110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 7*x - 6. Let m = -26 + 19. Give l(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12\/5*p**5 + 24\/5 + 87\/5*p**4 - 237\/5*p**3 - 156\/5*p + 294\/5*p**2 = 0 for p.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/6 - 5\/(-2). Let d(v) = -4*v**3 + 6*v**2 - 9*v - 2. Let u(b) = -5*b**3 + 6*b**2 - 10*b - 2. Let x(w) = i*d(w) - 3*u(w). Give x(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c*i**3 + c*i*m - c*m*r - 18*c*m + 14*i**3*r + 7*i*m*r - 1 with respect to c.\nAnswer: -2*i**3 + i*m - m*r - 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 19210902.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -0.5, -27, -1\/12, 17, -0.7, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 190049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q = -18*q - 315 + 2373 for q.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mchhmchzmmmhmha. Give prob of picking 1 a, 2 m, and 1 z.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**2 - 4*s + 7. Let m(b) = b**2 + b - 1. Let l = -79 + 80. Give l*v(j) + 4*m(j).\nAnswer: 2*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100010 + -1011100100000010?\nAnswer: -1011100101100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 11*i**4)*(2 + 2 - 2).\nAnswer: -22*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 4948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2591987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 2*j**2 - 3. Let k be (-2 + 1)\/(3\/6). Let q(v) = -v**3 - v**2 + 1. Let u(i) = k*q(i) - h(i). Differentiate u(r) wrt r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2105 times -0.3\nAnswer: 631.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (0 - 0) + (1 - 4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (32\/10)\/(-8 + (-123)\/(-15)). What are the prime factors of 21*23 - h\/(-4)?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 6*g + 33. Let y(r) = -26*r - 131. Let d(h) = 9*n(h) + 2*y(h). Let i be d(-16). Which is the closest to 1? (a) i (b) 5 (c) 5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 11:37 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7747?\nAnswer: 61, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -218*o**2 + 6*o + 11. Let w(a) = 3*a**2 - a. Let p(k) = -i(k) - 6*w(k). Find the first derivative of p(l) wrt l.\nAnswer: 400*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 139 - 138. Let t(a) = -a**2 - 2 - a**2 + 27*a**3 + 4*a + a**2. Does 6 divide t(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + m**2 + 5*m + 2. Let f(c) = -2*c**2 - 7*c - 2. Determine -2*f(o) - 3*y(o).\nAnswer: 3*o**3 + o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.03 - -0.03. Let g = -2 - s. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 1. Let v = 9917 + -9907. Let u(a) = -a**3 - 4*a**2 + 4*a - 1. Let s be u(-5). Let y(i) = 2*i - 3. Calculate s*y(l) + v*k(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c\/(c*c*c\/c**(-3\/14))))\/(c*(c**2*c)\/c*c))\/(c\/c**9*c**(-2\/15)) assuming c is positive.\nAnswer: c**(1543\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 7. Let z(d) = -2*d + 4. Let x(p) = -p**2 + p - 2. Let k(v) = 12*v - 46. Let o be k(4). Let s(j) = o*x(j) + z(j). Determine s(q(g)).\nAnswer: -8*g**4 - 56*g**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1168*l - 2330*l + 1162*l + 10*l**2.\nAnswer: 10*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w**2 + 5*w**2 - 2*w**2)*(1 + 0 - 3)*((26 - 1 - 2)*(-3*w - 5*w + 6*w) + 7*w + w - w)*(5 - 5 - 2*w**2).\nAnswer: 1092*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*b - 3562 = 64*b - 4315 - 12656 for b.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 167615076 and 264?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*l + 35*l - 168 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 42)*2\/3. Let w = 29 + f. Let a be (-2 - w) + 3 + 9. Solve -4*z = 3*t + 35, a*z - 3*z - 5*t - 5 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -7, 18 in increasing order.\nAnswer: -7, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 204*q**3 - 2*q + 1. Let w be o(1). Let i = -133 + w. Let h = i - 61. Solve 0 = 4*x + 5*d - 8, 2*x - h = x - 3*d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1205, 1207, 1223, 1259, 1321?\nAnswer: 1415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 9 = k. Let p = 28 - 26. What are the prime factors of p + (-2 - (-6)\/k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1113 + -31002320?\nAnswer: -31010033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (75\/10)\/((-3)\/(-10)). Suppose 5*a - 30 = -4*b, 2*b = 5*a + 5*b - w. Suppose -5*n - 20 = j, -3*n + a*j = 11 + 1. Which is smaller: -2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 323769 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 497139, 5 in decreasing order.\nAnswer: 497139, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 5:45 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0, 0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, -335, -1194, -2889, -5702, -9915, -15810, -23669?\nAnswer: -33774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 5) to base 6\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 8 = 4*r. Suppose -9*i + r = 2. Solve 2*z + i + 5 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**5\/4 + h**4\/12 - h**2\/2 + 5*h. Calculate y(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.60025 - 0.6. What is x rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((8091\/62)\/29).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6606813 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -856*d**4 + 916*d**2 wrt d?\nAnswer: -20544*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(8)\/sqrt(4)) - (1*sqrt(280))\/sqrt(8))\/(6*(sqrt(405) + (sqrt(405) + sqrt(405)*-1 - sqrt(405)) + sqrt(5)))*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/7 - 5824\/(-196). Let s(y) = 70*y - 2. Let v be s(2). Let l = v - 63. Calculate the highest common divisor of j and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 m when four letters picked without replacement from hmmhmmmswsm.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9477 - 9474.05. Let d = 35673.0126 - 35670. Let x = d - c. What is x rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 3*x + 9, 5*m + 4*x - 26 = 2*m. Put -2, 5, 3, m in descending order.\nAnswer: 5, 3, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 15. Let d = 1 - 2. What is the third smallest value in -3\/4, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.8 - -0.2. Let v = -3\/161 + -629\/805. Sort v, l, 5 in increasing order.\nAnswer: v, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(-6)\/(-10)*-30. Let o = 66 + x. What is the greatest common divisor of o and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 933890.1 weeks in minutes?\nAnswer: 9413612208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23 + 10022?\nAnswer: 10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i - 180 = 40. Let x(n) = -n**2 - 17*n + 14. Let k(m) = m**2 + 16*m - 15. Let t(q) = 2*k(q) + 3*x(q). What are the prime factors of t(i)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1685 divided by 5.\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3579199?\nAnswer: 13, 275323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 402143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 25. Suppose 2 = -h, -3*y = -0*y + 5*h + 1. Solve -y*d - m*d = -25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**7\/40 + 11*c**6\/240 + c**5\/240 - c**4\/48 - 2*c**2. Solve b(h) = 0.\nAnswer: -2\/7, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.157956ng to micrograms.\nAnswer: 0.008157956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*9\/360*15.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**5 - 2*h**4 - 132718156*h**3 - 81*h**2 - 455*h - 1195 wrt h?\nAnswer: -120*h**2 - 48*h - 796308936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003798862388 to seven dps.\nAnswer: 0.0003799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 113 + 297 = 0. Let x = -4044 + 4065. Calculate the remainder when f is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Let l = d - -2. Let n(b) = -10 + 10 + b**l. Let g(c) = -3*c. Determine g(n(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (1 + 1 - 1) - -1) + (18416 - 18401)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4.495 at most as big as -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/10*-2 + (-24)\/32. Let x = 0.574 + -1.074. What is the nearest to -1 in c, -3, x, -0.06?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2133 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7439, -14870, -22299, -29726, -37151, -44574, -51995?\n\"Answer: c**2 - 7434*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24412 - -24443. Let h = 2.02 - 0.02. What is the third smallest value in h, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/12*6)\/6*3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*q**3 - 182*q**3 - 61*q**3 - 57 + q**2 + 58 - q - 128*q**3 to the form j + w*q**2 + g*q + y*q**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 - 46. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129 and 681.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4 = 5. Let y be (t\/6)\/(165\/20). Factor y*n**2 + 0 - 6\/11*n.\nAnswer: 2*n*(n - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -87\/551582?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is 18203130113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 18.1. Which is the nearest to o? (a) 0.4 (b) 0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q - 4*q + q)*(-29*q**3 + 2*q**3 - 4*q**3)*(3 + 6 - 2).\nAnswer: 1736*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1495 - -2253. List the prime factors of n.\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ae + -2f?\nAnswer: 7f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 6:39 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -160810 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5277030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 255?\nAnswer: -1\/255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**0)**40\/(x**(2\/9)\/x**1))\/(x*x**(-2)*x*x*x**(-1\/7)*x*x)**(-5) assuming x is positive.\nAnswer: x**(3469\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -f**6\/120 + f**5\/10 - f**4\/4 + 7*f**3\/6 - 5*f**2. Determine r(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/4 (b) 1\/7 (c) 39 (d) 6 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4256, 2\/9, -0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1523, -3048, -4573, -6098, -7623?\n\"Answer: -1525*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-6) - (-118035)\/(-44010) - -2. Is o smaller than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4235135 or -16940543\/4?\nAnswer: -16940543\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/11)*x**(-4)\/x*(x**15)**(2\/39) assuming x is positive.\nAnswer: x**(-631\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-261)\/81 + 2\/9. Let v be h\/(-3) - (3 - 3). Solve 3*c = 2*c + v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -3*t**2 - t + 2. Suppose 14*g + 2 = 12*g - k, 0 = 5*k. Give r(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 110\/7 in 0.5, 0.01, -1.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.5 + 0.5. Let r = 0 + a. Let b = 2.999968 + r. Round b to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 6*l + 3*l)*(4 - 4 + 1)*(-2*l + 0*l + 4*l) + l**2 + 0*l**2 - 2*l**2 + (2 - 2 + 2*l)*(-5*l + 3*l + l).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*k**5*r - 71*k**4*r**2 + 484*k**2*r**2 + 2*k**2*r + 2*r**2 - 1 wrt k.\nAnswer: -780*k**2*r - 1704*k*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 10*q**3 - 76*q**2 + 742*q - 7. Let w(a) = 6*a**3 - 44*a**2 + 371*a - 4. Calculate 4*b(z) - 7*w(z).\nAnswer: -2*z**3 + 4*z**2 + 371*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1228 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 101358.1 - 101357. Let q = 3 + -1. What is the fourth biggest value in q, -1, -0.2, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1722419 * -14\nAnswer: -2.4113866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v - 2*v + 10. Solve -4*g - v = h + 6, -g - 13 = 4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1223222 + 1004?\nAnswer: 1224231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhbhbhhbbb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 6:08 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -229 + 277. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 33. Suppose -j*t + 24 = t. What is the least common multiple of t and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5915608.\nAnswer: 2, 47, 15733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 3349493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*l + 2*o - 2 = 0, 3*o + 1 = -l. Let w(d) = -1 + d**2 - 9 + 1 - 5*d. Let t be w(l). Solve 6*m - t = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306 - 14*t**2 + 306.\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83498.422 * 3.\nAnswer: -250495.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h**17\/h)\/h)*h*h)\/(h**(-12)\/h) assuming h is positive.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -14048 and -14049 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2830954807 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 0.1, -1, -2, -54?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239372 is divided by 879.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -47*v - 654. Let l be q(-14). Solve l*d - 5 = -3*c, 9 = -14*d + 17*d + 4*c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + r - 1, -d - 2*r = -15 + 13 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 2*s - 5. Let t(o) be the third derivative of o**3\/6 - 95*o**2. Give -l(g) - 5*t(g).\nAnswer: g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 595 + -338. List the prime factors of z.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 63 = -5*w, 496*w - 35 = 497*w + 4*m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 6*b**2 + b - 7. Let f be x(6). Let h(m) = -10*m. Let i be h(f). Let k(j) = -4*j**2. Let u(o) = -7*o**2. Determine i*k(t) - 6*u(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one eighths of a gram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6185, -12351, -18505, -24641, -30753, -36835, -42881, -48885?\nAnswer: -54841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 8:31 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 67*f**2 - 12*f + 17. Calculate a(2).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28965584?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 67*p + 5 + 57*p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1431205 to the power of 1\/2, to the nearest integer?\nAnswer: 1196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 340\/3 or 113?\nAnswer: 340\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -138, -244, -354?\nAnswer: -468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z + 2. Let q(b) = -13*b - 9. Let i(l) = -18*d(l) - 4*q(l). Let o be ((-2)\/(-3))\/(2\/9). Let f(j) = -o*j + 4*j + j. Give f(i(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 74 - 69. Let h = -147 + 147. What is the closest to 11 in j, 1, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32379229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(637) + 2 + sqrt(637))*2 + 5)*2)**2.\nAnswer: 32256*sqrt(13) + 657472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 534031 + -3?\nAnswer: 534024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2415667 times 0.4\nAnswer: -966266.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 60 and -0.0298732.\nAnswer: -1.792392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4821482384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**2 + 13*l - 13. Let r(u) = -3*u**2 + 9*u - 9. Determine 7*r(b) - 5*z(b).\nAnswer: -b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -321, -635, -933, -1209, -1457, -1671, -1845?\n\"Answer: q**3 + 2*q**2 - 327*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2588662926 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68206 - 229654 = -43*q + 519183. List the prime factors of q.\nAnswer: 19001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -1 + 51\/(-21) + 3. Factor -2\/7*j**2 + 0 - c*j**3 - 2\/7*j**4 + 0*j.\nAnswer: -2*j**2*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -182, -55 in increasing order.\nAnswer: -182, -55, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**3 + 126*c**2 - 310*c - 11642. What is d(-64)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4315 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 6:05 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4 + 221*p**2 - 225*p**2)*(1 - p**2 - 1) to the form f + j*p**3 + s*p**4 + x*p**2 + a*p and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -610*q - 45540 = 402*q - 0*q for q.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -441*a**4 - 365*a**4 + 1285*a**4 - 292 with respect to a.\nAnswer: 1916*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - 3) + 13 + 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + r = -0*o + 66, 3*r - 51 = 2*o. Let j be o\/(-42)*(16 + 2). Sort j, 4, -1 in decreasing order.\nAnswer: j, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54685785 by -142041.\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h = -64. Suppose 64 + 59 = q. Suppose 0 = 5*n + 3 - q. What is the highest common factor of h and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 328065 and -2.1.\nAnswer: -688936.5","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 7. What is the nearest to 1 in v, 4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95410551 to the power of 1\/2, to the nearest integer?\nAnswer: 9768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81339 is divided by 245.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10776*y**2 + 8*y**3 - 3603*y**2 - 3579*y**2 - 3594*y**2.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29261529 plus -498?\nAnswer: 29261031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 256104 and 144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w**3 + 4*w**2 - 4*w - 219. Calculate g(-8).\nAnswer: -3003","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.027023683 to five decimal places.\nAnswer: -0.02702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6383*g**4 + 2*g**3 - 4*g**2 + 2808318*g wrt g.\nAnswer: -76596*g**2 + 12*g - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1093 + 1096. Let r(z) be the second derivative of 7*z + 1\/24*z**4 - 1\/6*z**i - 3\/4*z**2 + 0. Factor r(g).\nAnswer: (g - 3)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*l - 17 - 5, 0 = -5*b - 15. Suppose -l = -5*j - y + 134, 0 = -3*j - y + 88. What are the prime factors of j?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4c (base 14) to base 4.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 324 - 306. Let f be 6\/(v\/(-15)) + 4. Sort 0, f, -9 in ascending order.\nAnswer: -9, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**3 - m**2 + 6*m - 2. Let r be s(-5). Let f = r - 112. Suppose -4*n = -b - 0*n + f, -3*b - 5*n = -226. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -3*j + 72, 3*h = 3*j - 0*j - 75. Suppose -14 = -3*q - 3*g + 10, 0 = 2*q - 2*g. What is the lowest common multiple of q and j?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58889477*d**6 - 4953*d**2 - 3*d + 506 wrt d.\nAnswer: 7066737240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 1.6 (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (45*d - 16 + 16)*(-3 + 0 + 5)*(2 - 9 + 1) in the form q + g*d and give g.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28865110, -28865128, -28865158, -28865200, -28865254?\n\"Answer: -6*f**2 - 28865104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776285 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -h**4\/8 + h**3\/3 + 3*h**2. What is the tens digit of k(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1012 is divided by 486?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/210 and ((-4)\/(-16))\/(3\/189).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(30\/4)\/(-3). Solve j + 4*j = 2*p + 18, -p + 4*j = t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.1 + 0.1. Let f be 1684\/14 - -1 - 3. Let r = f - 118. What is the smallest value in r, i, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -174\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 111 (c) -0.8 (d) -0.4 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 939 - 933 = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3\/7 + 5088*v**2 + 323058285*v\/7 + 105163400498\/7 = 0. Calculate v.\nAnswer: -17639, -338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4542 <= 1944.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/3 (b) -1\/7 (c) 4607 (d) 3 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9242\/33 - -280. What is the second smallest value in -2\/7, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -163, 2\/7, -0.3, 2\/21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 + 49 - 18 - o**2.\nAnswer: -o**2 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - (-105 + 99 - (2 - (1 - 1)))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m = -50, -259*m - 258*m + 775*m + 19 = -2*b + 255*m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-5 - -1076)*3. Which is greater: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -1\/188 (c) 5 (d) -348 (e) 0.2 (f) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 51, 68, 101, 156, 239, 356?\nAnswer: 513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(7)*2 - sqrt(35)\/((sqrt(5) - sqrt(45)) + sqrt(5)) - (-4*(sqrt(7) + 0) + sqrt(21)\/(sqrt(12)\/sqrt(4)))**2.\nAnswer: -63 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5644 is divided by 314?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtbt when four letters picked without replacement from {t: 1, j: 1, s: 6, r: 6, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/1971 and -11\/1107?\nAnswer: 80811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 5:05 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 10*b**2 - 2*b - 2. Let x(j) = 10*j**2 - 2*j - 2. Let l = 19114 + -19110. Give l*x(r) - 3*f(r).\nAnswer: 10*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 + 12 - 14*g + (g + 3*g + 4*g)*(-1 - 2 + 4).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 - -0.3. Let j be (-974848)\/32256 - (1 - 31). What is the third biggest value in 47, j, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14163653783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5\/11 - 60*f**4\/11 - 632*f**3\/11 - 240*f**2 - 3200*f\/11 = 0. Calculate f.\nAnswer: -10, -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*j**2 + 2*j**3 - 20*j**2 - 18*j**2 + 15*j + (-6 + 2 + 2)*(4*j + 2*j**3 - 4*j).\nAnswer: -2*j**3 + j**2 + 15*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37660728.\nAnswer: 2, 3, 7, 224171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4401, 4402, 4403, 4404, 4405, 4406?\n\"Answer: w + 4400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519423248 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 0 + 0*h**2 - 29\/12*h**4 + 0*h**3 + 4*h. Let x(i) be the first derivative of -i**2\/2 - 30. Calculate g(x(k)).\nAnswer: -29*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7123088 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2. Let s(j) be the first derivative of -j**2\/2 + 2. Determine s(w(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*i + 3 = 20*i + 3*f, -2*f + 2 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -17. What are the prime factors of 3 - (-20 + z) - 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -400?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 15*s - 1140 = 17*s - 71*s for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + -2 + sqrt(192) + ((sqrt(60)\/(sqrt(20)\/sqrt(5)) - sqrt(15))\/(-2*sqrt(125)))**2.\nAnswer: -1 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65 or 69?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqhqfffqffhqvqjh. Give prob of picking 1 v and 1 f.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-1 + (-2 - -3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -11*k - 3*k. Suppose -3*v - y + 9 = -3*y, 0 = 3*v - y - 9. Suppose c - 3*j = 42, -v*c + k*j = -0*j - 106. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71150 = 2857*g - 155739 - 27384 for g.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 417744294 to the nearest integer?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000086579084 rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 8:58 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164542.\nAnswer: 2, 7, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((225\/18)\/25)\/(((-37)\/(-10))\/((-480)\/(-600))).\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53.894 + -0.106. Let x = -2.172 + 3.172. Which is smaller: t or x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jppjppjjpjpjjp. What is prob of sequence jjjj?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31205*t**3 + 156010*t**2 + 436945*t + 210 = 0. Calculate t.\nAnswer: -2, -3\/6241, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274*x = 292*x + 180 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4453 + 0.46. Let k = m - -0.003. What is k rounded to three decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 138 - 97. Suppose 4*p = -g + i, 52 = 2*p + p + 5*g. Solve -4*b = -7 - p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1751, -3525, -5299?\nAnswer: -7073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 t when four letters picked without replacement from {s: 2, b: 1, o: 2, p: 6, t: 7}.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 802 is divided by 112.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -17*g**2 - 5*g - 3. Let u be ((-9)\/(-3))\/((-6)\/(-22)). Let a(m) = -6*m**2 - 2*m - 1. Calculate u*a(v) - 4*r(v).\nAnswer: 2*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3852, 29765, 85792, 164229, 265076, 388333?\nAnswer: 534000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 4*m**2 - 3*m - 4. Let n be h(3). Let p be -3 - (2344\/2)\/n. Let k = p + -192. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.18 - -3.18. Let m = 74 + -76. What is the third smallest value in m, -6, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i + 0 + 0 - i + 6*i - 2*i - i - 4*i + 2*i + 2 - 2*i - 2 + (i + 2*i - 5*i)*(3 + 0 - 1) + 3*i + 3*i - 4*i to v*i + c and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27 and 1.3?\nAnswer: -35.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 24 = 6*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6442903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 242\/381 - -4\/127. Which is the closest to 1\/4? (a) n (b) 2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 41 = -46. Calculate the highest common factor of r and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqdd when four letters picked without replacement from bddq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 47*v**3 - v**2 - 2*v + 2. Give u(1).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 7*h + 6. Let l be q(-4). Is -4 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a factor of 78011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 4:57 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*s - 23*s = -250344. What are the prime factors of s?\nAnswer: 3, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 7, w: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + i - 21*i - 3*i.\nAnswer: -25*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19380 and 3040.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 7*r + 7. Let d be (-59)\/(-7) + -6*1\/14. Determine l(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11 and -0.0954.\nAnswer: -11.0954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, e: 2, k: 2, m: 1, y: 6, b: 1}. What is prob of sequence by?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -20. Let s = 29 + p. Let r = s - 39. What is the nearest to 0.1 in -4, -12, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 270\/(-486)*((-73)\/511 + (-68)\/(-770))\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 192889627962.999998363 - 192889627546. Let q = 417 - d. Round q to seven decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78)*1*6 - sqrt(78)) + sqrt(78))\/(sqrt(72) - sqrt(2)))\/((sqrt(36)\/sqrt(100))\/(sqrt(132)\/sqrt(11))).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 1. Let a(l) = -7 - 6*l**3 + 4*l + 2 + 5*l**3. Determine -a(x) - 5*f(x).\nAnswer: x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 5*h + 4*m - 4, 4*h + 3*m + 20 = 0. Let n(o) = 550*o**3 - 551*o**3 - 3*o - 3*o**2 + 12 + o. Is 17 a factor of n(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11842*r + 23665*r - 11829*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2795 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 42*p**2 + 2 - 47*p**2 - 4 - 5*p - p**3. Let a be (3 - 4)\/((-2)\/(-6)). Determine w(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n*p**3*t**2 - 2*n*p**3*t - 7*n*p**3 - 10925*n*p**2*t**2 - 2*n*p**2*t + n*t - 24*p*t wrt t.\nAnswer: 6*n*p**3 - 21850*n*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 4*n - 2, -l + 4*n - 1 = -0*l. What is the remainder when 4 is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 170500 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-165)*93 - 3. Let f = 29.67 - 29.07. Which is the closest to -1\/3? (a) h (b) 2 (c) f (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2007129 to the power of 1\/2, to the nearest integer?\nAnswer: 1417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-3))\/((-7)\/(1 - 8)). Suppose 0 = -k - p, k + 4 = 3*p - 8. Put s, k, -1 in increasing order.\nAnswer: k, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2025 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 22. Suppose 0 = 77*a + 40*a + 702. Sort x, -5, a in descending order.\nAnswer: x, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 277944201 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -687\/4 - -10309\/60. Let z = 2 - 3. Let r(q) = q**2 + q - 5. Let n be r(0). What is the third smallest value in z, n, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-9) + (-111)\/135. Let d = 579 + -224.8. Let h = d + -355. Which is smaller: c or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2 + 12 = 0, 0 = 5*q + 2*j + 95. Let w = 64 + -33. Let d = q + w. Calculate the lowest common multiple of 8 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 621?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5387509 is divided by 34098.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3378 and 63?\nAnswer: 70938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 20 = 0, 2*b + 2*b = -3*r + 23 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 26557*t + 17 + 13502*t - 32.\nAnswer: 40059*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -50 - ((54\/(-6) - 3) + 5). Let d(u) = -5*u + 7. Let l be d(5). Let f = l - v. What is f rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1.151, 1, 5, -76?\nAnswer: -1.151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9893052 and 936?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-3))\/(9\/(-4428)). Suppose -r = -3*q + 3*o + 2*o, 2*o + 55 = q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18, -40, -64, -90, -118?\n\"Answer: -f**2 - 19*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -37\/33*p**3 - 2\/11*p**2 - 34\/33*p**4 - 3\/10*p**5 + 19*p + 0. Factor l(k).\nAnswer: -2*(k + 1)**2*(33*k + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 + 41. Suppose 0 + y**s - 1\/4*y + y**2 - 1\/4*y**5 - 3\/2*y**3 = 0. What is y?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.467871 to 1 dp.\nAnswer: 7.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17686 by -2792.\nAnswer: 8843\/1396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 + -124. Let u = l - -63.2. Let n = u + 8. Which is the biggest value? (a) -2\/5 (b) n (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/9 and -107\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s - 2 - 3*s + 9*s)*(-3 + 6 + 0)*(-1 + 5 - 1) to o*s + x and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyyqqyqqqqqtqy. Give prob of picking 2 q.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 767*i = 340*i + 375*i + 728 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15337, 15338, 15339, 15340?\nAnswer: 15341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 3\/13, 1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195 - 170*k - 105 - 193*k + 77 + 361*k.\nAnswer: -2*k - 223","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(3\/8)*t\/t**6*t**6*t**(1\/7)*t*t assuming t is positive.\nAnswer: t**(197\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 c when two letters picked without replacement from {x: 1, j: 6, n: 4, c: 4, y: 5}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 6*c**2 + 4*c - 9. Let r be z(6). Suppose -4*b = -r - 5. Let y = b + -5. Solve y = -3*i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2855.9523 months to decades.\nAnswer: 23.7996025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21409 = -8*z - 37*z + 28586. What is the highest common factor of z and 176?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = g - p, -19 - 1 = -5*p. Suppose 0 = -4*z - m, -5*z + 8*z - 23 = g*m. Calculate the remainder when 6 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 6*d + 6. Let z be i(4). What are the prime factors of ((-238)\/(-28))\/((-1)\/z)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125751276, 125751277, 125751278, 125751279, 125751280?\nAnswer: 125751281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of b**5\/5 + 7*b**4\/24 + 10*b**3\/3 + b**2\/2 + 12*b. Let g(a) be the first derivative of x(a). List the prime factors of g(-4).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176, -670, -1486, -2618, -4060?\nAnswer: -5806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8442, 16880, 25302, 33702, 42074, 50412, 58710, 66962?\n\"Answer: -w**3 - 2*w**2 + 8451*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74932244.\nAnswer: 2, 18733061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23190753 + -13390060. Suppose -d + w = -79307. What is d rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/3)\/((-3)\/576). Let p = n - -297. Suppose 5*m = 5*g - 4*g - p, 0 = 5*g - 2*m - 914. Does 23 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -25*r + 107. Let d be g(5). Let i(c) = -c**3 + 18*c**2 + 9*c + 155. Is i(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -9*c + 25*c - 5*c - 8*c. Suppose 2*h - 6 = 0, 6*n - 2*n + 4*h = 4. What is r(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1975611\/119 + -16602. Find the common denominator of 3\/49 and d.\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**4 - 30*a**3 + 5*a**2 + 6*a - 170?\nAnswer: -24*a**2 - 180*a + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -14. Let h = x + -2. Let p = 0.1 - h. Which is the nearest to 1\/2? (a) -0.2 (b) 2\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j - 25*j - j + 0*j as x + p*j and give p.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - 6005032?\nAnswer: -6005023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u + 18. Let v be k(8). Let j be (-27)\/(-6)*v\/3. Solve -21 = -2*q - 5*z, j*z - 2 = -q + 11 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -25.2. Let c = -14.4 - f. Put -5, -2\/9, 2\/19, c in decreasing order.\nAnswer: 2\/19, c, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1689124 and 1689126 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 11:42 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - 1. Let x = 1 + -13. Let q = -8 - x. Put 3, d, q in increasing order.\nAnswer: d, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 9*u**2 + 12*u - 9. Let x be i(-7). Differentiate 37*w**3 - x*w**2 + 5*w**2 - 30*w**3 - 15 wrt w.\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*d**2*i + 15483*d**2*m*y - 4*d*i*m - 115*d*i*y - 5*d + 44*m wrt d.\nAnswer: -34*i + 30966*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 25 - 10*z - 9*z + 18*z. Let u be y(9). What is the greatest common factor of 128 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**5\/5 + 2270*a**4\/3 + 2576450*a**3\/3 - 7*a - 759. Let r(t) = 0. What is t?\nAnswer: -1135, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*t**4 - t + t)*(0 - 1 + 0)*(94 - 97 + 136 + 414) + 5*t**2 - t**4 - 5*t**2 to the form y*t + o*t**3 + a*t**2 + d + g*t**4 and give g.\nAnswer: 13674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.47 + 0.470118. Round g to 5 dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12341331 (base 5) to base 13\nAnswer: -43397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2512859299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4 - 494*k**3 - 496*k**2 = 0. What is k?\nAnswer: -1, 0, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + (sqrt(343)*2 + sqrt(343) - sqrt(343)))\/sqrt(7))\/(sqrt(84)\/(sqrt(48)\/sqrt(4))).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z - 8 = 15 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 y when three letters picked without replacement from yyvyvvyvyyvvy?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88\/12 + (-87 - -79))\/((-14)\/27)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-5)*337270\/(-4652)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 1. Calculate the remainder when 58 is divided by x + -3 + 0 + 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5281*y - 1057 = 35109 + 285975 for y.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -50 in 0.1, 0.01, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31096 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*o + 136 - 41 = -241 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 613158, 613157, 613156, 613155, 613154?\n\"Answer: -s + 613159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87254 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 12:11 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -98, -145, -190, -233, -274, -313?\n\"Answer: m**2 - 50*m - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*k**5*z**2 - 2*k**2*z**3 - 3*k**2*z**2 + 5*k*z**3 - 3*k*z - 29 wrt k?\nAnswer: 60*k**3*z**2 - 4*z**3 - 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13b76b4 (base 12) to base 5.\nAnswer: -2004124142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w**4 + 2*w - 2*w)*(341 - 421 + 266)*(-3 + 4 + 1) + (1 - 1 + 3*w)*(-4*w**3 + 0 + 0) as p*w + v + l*w**4 + s*w**3 + g*w**2 and give l.\nAnswer: 732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*w - 23 + 42 - 22 - w + 0*w + 2*w + (-5*w + w + 3*w)*(3 + 1 - 2).\nAnswer: 8*w - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 8*p**2 + 25*p - 23. What is l(5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 4*u + 476, -d - 5*u + 494 = -0*u. Suppose 11*s = -226*s - 62568. Let z = s + d. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5\/767 - -47519\/5369. Is c greater than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169369235.\nAnswer: 5, 7, 59, 11717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 832?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**2 + 2 - 2 + (-1 - 3*i + 2*i + 0)*(-2*i - i + 2*i).\nAnswer: 4*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 8:26 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86 + 428\/5. Let x(v) = -v**3 + v**2 + v + 1. Let k be x(-1). Let m = -137 + 687\/5. Which is the nearest to d? (a) 0.3 (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18983, -1, 1.\nAnswer: -18983, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -990, -1974, -2954, -3930, -4902, -5870?\n\"Answer: 2*f**2 - 990*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = 5*w - 0*w. Suppose 0 = -4*l - 5*k + 8 + 50, -3*l + 2*k + 32 = 0. What is the remainder when w is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.3 less than 0.0382?\nAnswer: -15.2618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -1.4. Let i = -1.4 - w. What is the third biggest value in -1\/5, i, 11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7*q - 160. Calculate k(21).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -v**4\/5 + 479*v**3\/5 - 717*v**2\/5 - 2156*v. Factor x(k).\nAnswer: -6*(k - 239)*(2*k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/5 - 26388*a\/5 + 52788\/5.\nAnswer: -3*(a - 2)*(a + 8798)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 divided by -945?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 14*o + 5. Suppose -11*q - 8 = -12*q. Let i(g) be the second derivative of -5\/6*g**3 - g**2 + 0 - 8*g. Calculate q*i(r) + 3*m(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 343.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*26.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*472215\nAnswer: 23610.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13851184223 - 3549.6.\nAnswer: -13851187772.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-164)\/492 + 5\/3*1403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40816*p - 3*p**2 - 37525*p + p**2 - 1 + (p - p - 2*p)*(2*p - 2*p - 2*p) as i*p**2 + o*p + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xqxxxxxqxxqqqx?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 156 + -162 + 113 - 48\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3099366523 to the nearest integer?\nAnswer: 55672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408796708.\nAnswer: 2, 102199177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 6*a = -4. Solve 2*m - 3*v = -5*v - 14, -a*m + 17 = -5*v for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -0.573?\nAnswer: 4.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -4*y**3\/3 + 59284*y**2\/3 + 118580*y\/3 + 19764 = 0.\nAnswer: -1, 14823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4372.709m?\nAnswer: 4372709000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 956, 1925, 2900, 3881, 4868, 5861?\n\"Answer: 3*u**2 + 960*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35546193.\nAnswer: 3, 823, 4799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -673, 157, -1, -40, -9, 3 in decreasing order.\nAnswer: 157, 3, -1, -9, -40, -673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.14 - 0.64. Which is the closest to -1\/3? (a) -4\/3 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.5 + 1.4999986. Round s to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 2*p + 5. Let y be x(-8). Suppose y = c - 0*c. Let q = c + -35. What is the greatest common divisor of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/5 in 6, -0.3, -2\/15, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 + 9. Suppose 166*c - 4*k = 171*c - 178, 3*c = -4*k + 118. Calculate the remainder when z is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 - 3*r**2 - 2*r. Let s be x(-2). Suppose 0 = -6*o + s*o - 176. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 0 - 4*s**2 + 0*s**4 - 1\/30*s**5 + 0*s + 2\/3*s**3. What is the first derivative of z(j) wrt j?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 323955.2 centimeters?\nAnswer: 3239.552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10407643 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -8 + 28. Let x(p) = -2*p. Let k(a) be the first derivative of -a**2 - 8. Give n*x(g) - 6*k(g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3839 or -3840?\nAnswer: -3840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -1718, 62, 9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119736 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13116 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283931 is divided by 99.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 9:09 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(3 + -4 + 2). Let z be x\/5*30\/24. Are z and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 20 = 5*u, -4*c - 454*u - 152 = -450*u. Which is bigger: c or 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 - -256. Let m = -123 + k. What is the remainder when m is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - j = -1 + 12, 3*d - 2*j - 19 = 0. Which is the smallest value? (a) d (b) 4\/5 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2615 - 10787?\nAnswer: -13513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence duc when three letters picked without replacement from dcduw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-59)\/(-7) - 18\/42. Suppose 7*v - 3*v - d = 0. Calculate the greatest common divisor of 26 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.146 - 0.26.\nAnswer: -0.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 148*y + 143*y - 21, 20 = -4*d - 4*y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200\/11 greater than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -i**4\/4 + 7*i**3\/3 + 4*i**2 + 2*i - 2. Let n be z(8). Which is the biggest value? (a) 4 (b) n (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -180*(5 + -4)*-17. Calculate the highest common divisor of h and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22036*p**3 - p**2 + 14949*p + 10 wrt p.\nAnswer: 132216*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1522790, -1522822, -1522862, -1522916, -1522990, -1523090, -1523222, -1523392?\nAnswer: -1523606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, h: 6}. What is prob of sequence dhhh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*g - 36 = -28*g. Let y be (-387)\/g - (-1 - 3). Let u = y + 50. Calculate the remainder when u is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6c2 + 0?\nAnswer: -6c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((3 + sqrt(162))*-5 + 4) + 0 + 4)**2 + 3.\nAnswer: 33480*sqrt(2) + 149647","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 46*j. Let m(x) = -183*x. What is r(m(y))?\nAnswer: -8418*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*h + h + 5*h)*(3 - 3 + 2) - h + 0 + 0 - 7*h + 15*h + 41 - 7*h + 10*h - 15*h - 3*h as t*h + a and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 1857*m**4\/4 + 2*m**3\/3 - 128*m - 2318. Find the third derivative of g(q) wrt q.\nAnswer: 11142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -5*f**3 - f**2 + 1. Suppose 3*z - 4*p = 10, -15 + 2 = -4*z + 5*p. Suppose -z*y - 17 = -3*r + 3*y, r + 5*y = -21. Determine a(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99625, 99632, 99641, 99652, 99665?\nAnswer: 99680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5414?\nAnswer: 2, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 11) in base 15?\nAnswer: -3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 46, 126, 278, 526, 894, 1406?\nAnswer: 2086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 29\/(-2) + 3\/(-2). Let p = 15 + g. Is p <= -6\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*r + 84*r + z - 80 = 0, 4*r - 5*r + 5*z + 62 = 0 for r.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (12 + 23 + -23)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q - 6*q + 18*q - 8*q + 24.\nAnswer: -q + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 12. Let r = 5 - a. Solve 4 = 3*j + r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 12*g + 37. Let r be y(7). Suppose -18*j + r*j + 8560 = 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111336, 223029, 334734, 446457, 558204, 669981?\nAnswer: 781794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5c (base 13) to base 11\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 698 a factor of 15605526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11203 is divided by 11119.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2655 divided by 24.\nAnswer: 885\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2249092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 4.93. Let g = 894.4 + -898.4. What is the biggest value in i, g, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -773 and 30701 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p = -23*k + 25*p + 121, 0*k - 4*p - 22 = -2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + i**2 + 1. Let s(n) = -4*n**3 + 4*n**2 - 4*n + 24. Let y(l) = 5*r(l) + s(l). Suppose -95*k = 6*k + 19*k + 960. Is 9 a factor of y(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from abbawwawbabwww. What is prob of sequence aba?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1671 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5 + 1. Let h(i) = 4*i**2 - 3*i - 3. Let k be h(4). Let l = k + -541\/11. Which is the biggest value? (a) 1\/5 (b) v (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 186 + 66 = -4*p, 5*y - 2*p = 90. Calculate the least common multiple of y and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 7*o. Let v be (-172)\/4 - (o - -3). Let a be (-11)\/55 - v\/130. Sort a, -2\/7, -2\/5 in ascending order.\nAnswer: -2\/5, -2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 s, and 1 x when three letters picked without replacement from {d: 5, z: 1, s: 3, x: 4, c: 1, o: 1}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000069143986 to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(6\/(-60)*5) - -39353.\nAnswer: 3, 5, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/8 + 57*p**2\/8 - 75*p\/2 + 99\/2.\nAnswer: -3*(p - 11)*(p - 6)*(p - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 7. Suppose 828 = -t*m + 9*m. Does 23 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 5. Let d(g) = 4*g - 15. Let a be d(7). Let w(o) = -o**2 + 14*o - 7. Let r be w(a). Solve -2*h + r*h = -p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 87 + -78. Suppose -4*j + 74 = s, v*s + 29 = j + 4*s. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-32)*m\/(m*m\/(m*m**(-31\/4)))*m*(m\/m**17)**(-4\/3) assuming m is positive.\nAnswer: m**(-209\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 7*v**2 - 59*v - 124. What is d(10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.076? (a) -146 (b) -4 (c) -2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7658259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 9. Let l be 15\/2 - p\/2. Suppose 4*k + l = -0*k. Which is the second smallest value? (a) -3 (b) k (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(114)\/(-3*sqrt(6)*2).\nAnswer: -5 - sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t + 8. Suppose -3*f - 18 = -2*p, -29 = -2*p - p + 5*f. What is y(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -600, 4, -294 in decreasing order.\nAnswer: 4, -1, -294, -600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4) + 9\/6. Let o be (1 - -6)\/((-3)\/(-9)). Suppose -h - 3*z = 11, -h - 5*z = 2*h + o. Sort t, h, 2.\nAnswer: h, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/68 + 7993\/68. Let y = 155 - 40. Let x = y - p. Which is the second biggest value? (a) 0 (b) x (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 980, -6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 102 - 2312. Does h = -443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 3*w + 5*w. Let b(z) = 2*z - 4 + 2*z + z - 4*z. Let l(v) = 6*v - 27. Let d(j) = 27*b(j) - 4*l(j). Calculate d(u(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/12*18\/21.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000014323 to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8244939*d + 8721803 wrt d?\nAnswer: 8244939","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1568589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8341, 8163, 7995, 7843, 7713, 7611, 7543, 7515?\nAnswer: 7533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 47844.5 to the nearest 100.\nAnswer: 47800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192467 is divided by 96213?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 0.1, -1\/31, 27\/14?\nAnswer: 27\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(162)*-1*2 + -2)*6)**2 - (((2 + 0 + sqrt(162))*4)**2 + 3)).\nAnswer: 2016*sqrt(2) + 20809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.854691 rounded to three decimal places?\nAnswer: -4.855","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 30564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3545673121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 57.4.\nAnswer: 52.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5263, 5263, 5301, 5407, 5611, 5943, 6433, 7111?\nAnswer: 8007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -2, 5, -3.\nAnswer: -52, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 603 < -1.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) 4 (c) -4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-665)\/(-21)*(-102)\/(-17). What is the highest common divisor of u and 890?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -3 (c) -116 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1027811 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u - 2 - 1 + 4. Let h(q) = -q**2 + 9*q - 5. Let i be h(8). Suppose g = -i*g + 8. Let k(l) = -2*l**3 + 2*l**2 + 2*l - 2. Give g*t(x) + k(x).\nAnswer: -2*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -646 divided by 5?\nAnswer: -646\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 11\/1037 (b) 26\/9 (c) 0.4 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12, -22, -38, -60, -88, -122, -162?\n\"Answer: -3*r**2 - r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q - 10 + 3*q + 7. Let v(x) = 9*x**2 + 12*x**2 + 18*x**2 - 40*x**2. Give v(m(y)).\nAnswer: -y**2 - 6*y - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*q + 12*q - 54*q**2)*(410*q + 162*q - 813*q) as c*q**2 + v*q**3 + z + x*q and give v.\nAnswer: 13014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3849 - -3849) + (10 - 1) + (-1 - -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 114 = 4*p, -5*g + 6*p = p - 155. Calculate the highest common factor of g and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (42 - -1) + 0 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123 + -127. What are the prime factors of (-1 - -5 - -212) + w?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 973.\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - g)*((-5 + 6 + 1)*(18 - 18 + 3*g) + g - 4*g + 4*g).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1099 - 184 + 611)*(2 - 2 + 2*m) - 1 + m + 1 + m - 4*m + 2*m + (-m + 0*m + 2*m)*(-2 - 2 + 2) as c*m + p and give c.\nAnswer: -1346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -435 - -854. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 8*p**2 - 8*p + 11. Let k be c(7). Let z be 3 - ((k - 58) + 3). Suppose 0 = 5*v - z - 31. List the prime factors of v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.99*-2493.\nAnswer: -29891.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -19319*p - 2581062 + 2581062 in the form z + n*p and give n.\nAnswer: -19319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2691 = -5*h, -b + 6*b + 1071 = 2*h. Let i = h - 2053\/4. Let g = -4097 - -49021\/12. What is the common denominator of i and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 17 = 3*i, d - 4*i = -4*d + 60. Suppose -p = -d*p + 329. Suppose 7 = -2*j + p. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.4, 3447221\/4 in increasing order.\nAnswer: -5, -0.4, 3447221\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-5)\/(-110)*-2). Let y be -1*5 + c + -58. Let v = 77 + y. Solve -2*s - 4*i = -v*s + 12, -3*s + 15 = -5*i for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.355\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l**2 + 187*l + 25. Give q(-23).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 140 = 2*q, f - 2*f - 51 = -5*q. Let m be (-56)\/f - 42\/273. Factor -3\/2 + 0*a + 3\/8*a**m.\nAnswer: 3*(a - 2)*(a + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 20*s**2 + 48*s + 11. Determine h(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 32. Let m(p) = -p + 63. Let f(y) = 7*d(y) - 3*m(y). Let u be f(9). Suppose 4*i - 2 = 3*n - 95, -4*n = -12. Put u, 4, i in descending order.\nAnswer: 4, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + (1 - 23))\/((-2)\/20). Let i = j + -149. Let m = 56 + i. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + ((sqrt(3) - (sqrt(6)\/sqrt(2) + -1))**2 + (sqrt(243) + 1 + sqrt(243))**2)*6 + 3.\nAnswer: 216*sqrt(3) + 5849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 29 + -33 - (-6 + 1). Suppose -b + 3 = -c + i, -b - 4 = -4*c. Solve o + 4 = -b*w - 4, -o - w - 2 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2749482*y**3 + 7415*y**2 + 7415*y - 7415. Let c(p) = -1483*p**3 + 4*p**2 + 4*p - 4. Give -7415*c(l) + 4*s(l).\nAnswer: -1483*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006309706911 rounded to 5 dps?\nAnswer: 0.00631","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -52*t**3 + 2*t**2 - 19. Let o(a) = -103*a**3 + 5*a**2 - 36. Let r(h) = -5*g(h) + 2*o(h). What is the derivative of r(p) wrt p?\nAnswer: 162*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2162022\/281 or -7693?\nAnswer: -7693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -2.3\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 x, and 1 y when four letters picked without replacement from {y: 2, p: 1, g: 1, u: 2, x: 1, k: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - d**2 - 2*d - 1. Let f be b(0). Suppose 0 = 5*q + 3*x + 2 - 30, 0 = -4*q - x + 21. Sort -5, f, q, 2 in ascending order.\nAnswer: -5, f, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -2*y, 0 = 10*h - 3*y - 612 + 647 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -1349159 and -1349166 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2800\/9*n**4 - 80\/9*n - 32\/9 + 184\/3*n**2 + 740\/9*n**3 = 0.\nAnswer: -2\/7, -1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 11*y**2 - y + 6. Let f(o) = 30 + 0*o + 23*o**2 - 2*o - 19. Let b(c) = 6*f(c) - 11*z(c). Give b(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/(sqrt(9)*-2))\/(sqrt(512)*2).\nAnswer: -sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 a when four letters picked without replacement from {r: 7, s: 2, a: 3}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 648919?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 27. Let s be ((-3)\/x)\/((-28)\/56). Is 3\/2 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 154, 155, 156?\n\"Answer: u + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = -v, 3*v = -i + 7. Suppose -s - 12 = -i*s. What is the highest common divisor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -363 (base 8) to base 9\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3. Suppose w - 1 = v, h*w = -v - w + 5. Let p(i) = 5 + 2 + i - 4*i**2 - 1 + 3*i**v. Determine p(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -195*v - 125 + 5000 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 5, o: 2, t: 2, w: 1, d: 1, m: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96 - 55 - 9*d - 71)*(-3*d**2 + d**2 + d**2).\nAnswer: 9*d**3 + 30*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (18\/75)\/(3\/5)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-4*(-1*sqrt(209) + sqrt(209)) - sqrt(209))*-4)\/(2*sqrt(1100) - (sqrt(110)*-1)\/sqrt(10)))**2.\nAnswer: 4864\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25595288?\nAnswer: 2, 3199411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -4*i**2 + 5*i + 5. Let g(d) = -2*d**2 + 3*d + 3. Let v(t) = 10*g(t) - 6*r(t). Let x(w) = -2*w. Give v(x(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -124*l + 426 + 194 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3.324413+-0.1\nAnswer: -3.424413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 961.201mg?\nAnswer: 961201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1.4 (b) 1\/7 (c) -4 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-13)\/(-5) - 2)*5. Suppose 0*h + l = -3*h. Let q be 45\/(-6)*(-3 - h). Solve -3*k = 2*m - 2 + 5, -k + 4*m = q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**6 - 4*g**3 - 164*g**2 - 4. Let b(w) = 6*w**6 + 7*w**3 + 328*w**2 + 7. Let h(r) = -4*b(r) - 7*y(r). What is the third derivative of h(t) wrt t?\nAnswer: -360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25467*v**3 - 557*v + 29.\nAnswer: -152802*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**3 + 976*y**2 - 5076*y - 23904 = 0. What is y?\nAnswer: -249, -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(300)*2 + 0 + sqrt(300)*-1*-5 - (-2 + 6*(3 + (-1*sqrt(300) + sqrt(300))**2))).\nAnswer: -14 + 70*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**2 + 19491*q\/2 + 12185\/2 = 0.\nAnswer: -5\/8, 2437","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 - 59 - 39)*(11*a**5 - 5*a**5 + 2*a**5).\nAnswer: -904*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 9*t**2 + t + 13. Calculate the remainder when c(-9) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*z = -87*z + 57*z + h - 9, 0 = 5*z - 2*h - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 944924095?\nAnswer: 5, 7043, 26833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.340779 + -0.103381.\nAnswer: 1.237398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11996?\nAnswer: 2, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 64986, 129779, 194572?\n\"Answer: 64793*j + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.08 - -0.53. Let p = -23.55 - g. Let d = p - -24.2. Which is the nearest to 2\/7? (a) -0.4 (b) d (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 3*w - 4. Let n(z) = -8726 + z + 17450 - 8723. Determine -6*n(l) - 2*s(l).\nAnswer: 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - s = j, -s = 3*j + 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6582)\/4)\/((-801)\/24564)?\nAnswer: 2, 23, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -z**4\/24 - 5*z**3\/3 - 5*z**2. Let x be q(0). Let c be (-25)\/x*(3 + -1). Solve 16 = -4*m - 4*b + 5*b, 4*m + 16 = c*b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -35*b + 109. Let k be q(3). What is the tens digit of (3164\/5)\/k*5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 274dcb?\nAnswer: -274dc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2989062 and 2989062.\nAnswer: 2989062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -921 + 933. Let y be h\/88*(12\/(-1017) + 0). Does -1 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.21765885 - -0.17766415. Let a = b - -1.04. What is a rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 343148 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -132 (base 4) to base 7\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 486 divide 8905591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-1*sqrt(156)\/sqrt(300).\nAnswer: -6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 3. Let w(x) be the second derivative of -x**4\/6 + 486*x. Determine w(h(b)).\nAnswer: -2*b**2 - 12*b - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 69120 = -13*w. Suppose -2373 = -9*d + w. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2651 - 374*m - 2652 - 38*m.\nAnswer: -412*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 140, -2 in decreasing order.\nAnswer: 140, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (76 - -4) + 3 + (-8 + 24 - 7).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**5 + 50*v**3 - 45*v = 0 for v.\nAnswer: -3, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 145 + 15 - 12115*r - 160 in the form n + b*r and give b.\nAnswer: -12115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116 - 929\/8. Which is the smallest value? (a) -7 (b) i (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -22, -25, -12, 23, 86, 183?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2296748696.0194547701 + -3934223.0194490701. Let f = v - 2292814361. Let u = f + -112. Round u to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b (base 13) to base 4.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16343 or -16413?\nAnswer: -16413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -65 (b) -0.1 (c) 132 (d) 1\/2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-4)*t*t)**24)**(-2\/129))**(-2\/199) assuming t is positive.\nAnswer: t**(-64\/8557)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93092856 is divided by 621.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356899.\nAnswer: 173, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1127a + -d?\nAnswer: 1126b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82*i**3 + 99585*i**2 + 55778398.\nAnswer: 246*i**2 + 199170*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1174 divide 492899204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 4455952?\nAnswer: -4455947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4 + -6*((sqrt(272) - 1*sqrt(272)) + sqrt(272) + sqrt(272))**2 + 1)*-2.\nAnswer: 13056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -87 + 269. Find the first derivative of -121*q - 148*q + t*q - 24 wrt q.\nAnswer: -87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, d: 1, p: 2, v: 2}. Give prob of picking 2 p.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, -5, -3, 5 in decreasing order.\nAnswer: 93, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 50\/9, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-180)\/9)\/(-2)*-1*2\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c + 2*c**2 + (0*c**2 + 4*c**2 - 3*c**2)*(0 - 1 + 0))*(c + c - 9*c).\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**2 + 4*k - 176 + 234 - 10*k.\nAnswer: -9*k**2 - 6*k + 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52964 + 0.245045.\nAnswer: -52963.754955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1402907 - 17*x + 701455 + 701452.\nAnswer: -17*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 228*u - 1096. Does 171 divide k(45)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*n = 4*n - 332, -3*x + 3*n + 348 = 0. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -6 + -3 + (-2 - -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*b + 40 = -78*b + 4*r, -5*b + r = -221. Suppose 4*v + 36 = -5*q, 2*v - 7*v + 4*q - 4 = 0. What is the units digit of 2\/(v\/(-197)) - (-22)\/b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70257402 times -0.2?\nAnswer: 14051480.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*f - 12 = -y, -y - 4*f = 2. Let l be (2 - 0) + 2 - 2. Calculate the highest common factor of l and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 + 0*s**3 + 4*s**3)*(1418*s + 1409*s - 658*s - 342*s).\nAnswer: 1827*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -i**3 + 2\/15*i**6 - 257*i + 2*i**2 + 0*i**5 + 0 + 0*i**4. Find the second derivative of s(n) wrt n.\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y + 3*y**2 - 11*y + 6*y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*sqrt(8)\/(sqrt(4)*-2)*4*-3.\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (4 - (-1 + 1) - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 63\/66)*1. Let h = -5\/11 - t. Sort -0.4, h, -0.3 in decreasing order.\nAnswer: -0.3, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-32))\/(1\/(4\/10))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13714, 13708, 13702, 13696, 13690, 13684?\n\"Answer: -6*z + 13720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33281 - 66555\/2. Let -8 - v*n**3 + 51\/2*n**2 + 21*n = 0. Calculate n.\nAnswer: -1, 2\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*d + 204, 0*d = -5*x + 2*d + 447. Suppose -2*o - 3*n = -7*n + 126, -2*n = 4*o + 282. Let w = x + o. 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 200\/76*(-475)\/(-50)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*v - 35, -s - 2*v + 42 = 56. Let r(g) be the second derivative of -12*g + s - 5\/6*g**3 + 1\/4*g**5 + 0*g**2 + 0*g**4. Factor r(l).\nAnswer: 5*l*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*20569146\nAnswer: -102845730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37078.80081 + 37079. Let p = 0.2 - u. Round p to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-1 + (17 - 9)) - 5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 15*l + 85 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1587254 bigger than -1587254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {a: 1, b: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 754\/3 + -3772\/15. What is the smallest value in l, 1, 3\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -111*m**3 + 234*m**3 - 121*m**3 - 825 - 79*m**2 wrt m.\nAnswer: 6*m**2 - 158*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.94 + -14.44. Which is the biggest value? (a) r (b) -2.05 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34130 (base 5) to base 6.\nAnswer: -15103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 2)\/((-13)\/(-52)). Let y(n) be the first derivative of 0*n**2 - 4 + 2*n + 0*n**3 + 1\/4*n**t. Find the first derivative of y(s) wrt s.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**3\/6 + 3*n**2\/2 - n. Suppose -c - 3*r = 3*c, 3*c - r = 13. Let t(s) = -3 + 1 + 1. What is c*t(k) + o(k)?\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17244894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -133 (base 4) to base 9\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -470 times -16817\nAnswer: 7903990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/2*(-115)\/(-10)*(-252)\/1449*3?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*p - 4*y, -1806*y = -1802*y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11717 = -8*c - 3109. Does 32 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 6:22 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 70\/4 - 4\/8. Let k(c) = -34*c - 34. Let q be k(-5). Calculate the highest common divisor of q and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dg when two letters picked without replacement from vnvgdneene.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from {c: 1, e: 1, p: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.00018 - -12. Round a to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3*p + 3. Let t(f) = 0 + 9*f**2 + 14*f**2 + 2 + 3 - 22*f**2 + 5*f. Determine 5*n(u) - 3*t(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 128018286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/18)\/(4\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28015258*q**4 + 40253*q**2 - 9*q - 3 wrt q.\nAnswer: -672366192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/483? (a) 4\/7 (b) -6\/5 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 873904 to the nearest integer?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3700?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 16451 divided by 794?\nAnswer: 16451\/794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -324*k. Let x(d) = -25*d. Give j(x(m)).\nAnswer: 8100*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/468 and -37\/4056?\nAnswer: 12168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 44983081 a multiple of 1573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1303, 1300, 1297?\nAnswer: 1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 5*x + 3*a - 8, -a + 4 = 3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**3\/2 - 32*p**2 - 1430*p. Calculate y(-27).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -376, 31, -482, 0 in decreasing order.\nAnswer: 31, 0, -376, -482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 2.044 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12382848?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -86, 4, 7, -1.\nAnswer: -86, -2, -1, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 4 + 2)*(1 - 1 - 4*c) - 14 - 5*c + 14)*(-8 - 28 - 11) in the form g + t*c and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 22\/9 of a hour?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.660746 rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 6*f**2 + 5*f + 6. Let p be a(-5). Suppose y = 4*w + 125, -p*y = -y - 3*w - 557. List the prime factors of y.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6059 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j + 1. Let o be x(3). Suppose 6*u - 6 = -0*u. Put o, u, 9 in increasing order.\nAnswer: o, u, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (194\/8)\/(4\/(96\/6)). Suppose 88*f - n*f = -162. Solve 0 = 3*k - 27 + f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**2 - 8*j**2 - 4*j**2. Let c(r) = r. What is c(v(q))?\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 534 + -531. Put -14, 5, u in increasing order.\nAnswer: -14, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2318019299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3812.622 months to millennia.\nAnswer: 0.3177185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4237 and 1406.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 632\/24 - 30938\/(-1497).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -383\/1645 or -1?\nAnswer: -383\/1645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, c: 3}. What is prob of sequence cc?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 3*t + 2. Let n be r(2). Let o(a) = -a + 20. Let h be o(0). Solve -n*m + 2*m + h = -5*d, -d - 17 = -3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6897 - 23*f**2 + 6897 + 5*f**2.\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3725263*102.\nAnswer: 379976826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 12)\/3 + 1. Let y = x + -2. Suppose 0 = -y*f + f + 4. Let k(h) = 13*h + 2. Let m(a) = -6*a - 1. What is f*k(g) + 9*m(g)?\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 23258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 4*d - 8 = 0, 3*v + 2 = 4*d - 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gsy when three letters picked without replacement from {g: 10, s: 6, y: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + (-28 - (4 - 13)) + (-87 - -6) + 8.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12256 (base 8) to base 16\nAnswer: 14ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/37, -5\/6, 3, -0.5 in decreasing order.\nAnswer: 3, 3\/37, -0.5, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 69171015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -132 - -234. Suppose -4*v + 4*y + b = -182, -77 = -v - 2*y. List the prime factors of v.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3619*c. Let k(t) = -2*t**2 + 122*t + 50. What is n(k(j))?\nAnswer: 7238*j**2 - 441518*j - 180950","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -515.4 - -515. Let p = 365\/1077 + -2\/359. Which is the closest to 3\/7? (a) p (b) 1\/2 (c) u (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.4, 14, -2\/37, 0.4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 86631334519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnzfhehhhnnnzn. What is prob of picking 2 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h + 1. Let w(z) = 7*z + 12. Let g(n) = -6*b(n) + w(n). Let u be g(7). Calculate the greatest common divisor of u and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000069396 to 6 dps.\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/3)\/(0 + 5\/30). Suppose g*i - z - 4*z = 46, 2*i = -3*z + 14. Solve 0 = -4*x - i + 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.4, -0.3, 1.95 in descending order.\nAnswer: 1.95, 1.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 2*m**2 - m)*(5*m - 3*m - 14*m).\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 3426560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30342021 + 21?\nAnswer: 30342042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 18*k + 4. What is v(11)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 6. Let g be ((-12)\/(-8))\/(2\/12). Calculate the highest common factor of z and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c**3 + 57*c**2 - 61*c + 14. Let r(n) = -3*n**3 - 28*n**2 + 31*n - 7. Let j(o) = -5*r(o) - 2*t(o). Is j(-22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2811)\/1107 - -3) + 5335\/(-10890) + 2\/44?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 30*w**2 - 96*w - 128.\nAnswer: -2*(w - 8)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 56 - (36 - -38 - 37)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*m = -1, 4*t = -4*m + 3*m + 10. Let v = 17 - t. What is the remainder when v is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -230 (b) -3 (c) -0.1 (d) 32615\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2126*d**3 - d**2 - d - 1. Let f be q(-1). Suppose -4*p - f = -9*p. Let y = p - -94. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -3*t + 99 + 1\/3*t**3 - 3\/2*t**2. Determine d(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/4 and (1485\/(-105))\/(20\/(-14)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 12 - 47. Suppose 34*p = 3*m + 35*p - 77, -3*m = 3*p - 87. Calculate the remainder when m is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1853 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 - 428 - -261 - (-1 + -18)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9\/((-243)\/72) + 8\/(-6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -11, -3.\nAnswer: -11, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 1)*1*160\/60.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d + 170176*d**2 + 166518*d**2 - 336690*d**2 - 8*d.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -83, 3, -5 in descending order.\nAnswer: 3, -1, -3, -5, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, s: 2}. Give prob of picking 2 s and 2 j.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 27*n**2 - 2*n - 1. Let p = 2 + -2. Suppose -3*a - 5*x + 12 = p, 5*a - 2*x + 10 + 1 = 0. What is the units digit of k(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48718 times 6\nAnswer: 292308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*n - 1 - 2 = -3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 0 - 15. Suppose 4*d - 106 = 3*b, w*d - 12 - 61 = 2*b. Let t = b + 102. List the prime factors of t.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 8*r**2 + 10*r - 14. Let b be n(-6). Is (-1)\/(b - 219\/(-111)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - 0. Find the common denominator of 84\/s - (-2 + 1) and 18\/(-130)*(3\/2)\/(36\/16).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 31, 57, 81, 103, 123?\n\"Answer: -k**2 + 29*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -40*b + 37*b + g, 723 = -29*b + 3*g. Suppose 5*n - 3*n + 6 = 0. Suppose -3*l + 4*j - 12 = 0, 9 - 3 = 2*j. Put b, l, 4, n in decreasing order.\nAnswer: 4, l, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 284*x**2. Let t(z) = -2*z**2 - 11*z - 55. Let c(p) = p**2 + 4*p + 20. Let n(o) = 11*c(o) + 4*t(o). Calculate w(n(r)).\nAnswer: 2556*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3271 - -3271. Let l = 7 - 7. Suppose 4*s + 5*m = -4, -3 = -l*s + 3*s - 3*m. Put t, s, 1\/4 in decreasing order.\nAnswer: 1\/4, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-10) - (-123)\/(-15). Let t = m - -12. Solve w + 5 = 2*v, -13 = -v - 3*v + t*w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-53*n**2 - 171 - 718*n + 723*n + 55*n**2)*(-2*n + 3*n + 0*n) to v*n**3 + a*n**2 + i*n + g and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 15*i**2 + 9*i - 30. List the prime factors of f(-14).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/3 + 0)\/1. Which is the closest to k? (a) -0.3 (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5c696 - 1?\nAnswer: -5c697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 48*g - 18471. What is k(-162)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 541223321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -9. Suppose -3*q = -l*q - 26. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3481 (base 10) in base 3?\nAnswer: -11202221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*sqrt(10)*6)\/sqrt(5) + (sqrt(36)\/sqrt(2)*2)**2.\nAnswer: 6*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (44\/77)\/(6\/28*-2)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 423 or 6328\/15?\nAnswer: 423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*t - 90*t - 88*t - 95*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + j**2 + 0 + 2*j**2 - 7*j**2 - 4*j**2 + 0*j**2 - 4*j**2 + 5*j**2 + (2*j + 2 - 2)*(-3*j + j + j) + j**2 - j**2 - 2*j**2 - 7 - 4*j**2 + 7 - j**2 + 2 - 2.\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -218 + 317. What is the highest common factor of 9 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1926 divided by -5\nAnswer: -1926\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 6, -i = i + 2*t - 460. Let z = i - 156. List the prime factors of z.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2671308 = b + 4*s, 0 = 3*s + 12. Let n = -363823 - b. Suppose 0 = -0*v + 4*v - n. Round v to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 2*n - 6*n**4 - 5 + 10 as s*n**4 + f*n**3 + d*n + x + a*n**2 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 251*i + 1770*i + 2704*i to j*i + v and give j.\nAnswer: 4725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 83?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 2980*g - 1110050.\nAnswer: -2*(g + 745)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**4 - 33475*a**3 + 51*a**2 + 242195793*a + 1 wrt a?\nAnswer: -36*a**2 - 200850*a + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 1:54 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-14)\/(-828)*66\/231*-6?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1143 - -1378. Is o greater than or equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from rutvvvz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence neb when three letters picked without replacement from {n: 8, e: 2, b: 9}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*t**5 + 4053*t**4 - 6*t**3 + 2*t**2 - 8047*t?\nAnswer: -300*t**2 + 97272*t - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3153 - 78*j - 23*j - 6*j.\nAnswer: -107*j + 3153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*m = -24, -12 = u + 2*m - 0. Let k = 20 + -30. Let a = k + 12. Sort 9, a, u in descending order.\nAnswer: 9, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 8*x**2 - 1577*x + 153. Calculate h(36).\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646*c = 15013 - 2739 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1133393, 2266785, 3400177, 4533569, 5666961, 6800353?\n\"Answer: 1133392*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139284*s - 139362*s = -2010 + 372 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -56405 (base 8) in base 5?\nAnswer: -1230223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 864\/(1296\/24)*3?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.039140302 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 25, -3*m + 7*k - 2*k = -43. Suppose -83 + 1145 = m*y. Calculate the lowest common multiple of 9 and y.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence io when two letters picked without replacement from {o: 2, i: 2, u: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/14))**23*h**(-8\/9)*h\/((h\/(h*h*h\/(h\/h**(-23))*h))\/h*h) assuming h is positive.\nAnswer: h**(-2011\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 64 = -4*x, 0 = 3*x + 3*y - 6*y - 36. Let b be 1*11*(-1 - -2). Suppose 0 = -f + 30 + b. Calculate the remainder when f is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2. Let p = 17 + -11. Let h(s) = -s**2 + p*s**2 - 4*s**2. Determine z(h(v)).\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35276 and 5529513?\nAnswer: 22118052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 + -63. Let b = -277151\/6 + 46191. Find the common denominator of b and (234\/y)\/1 + -2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m + i - 25, 322*m = 326*m + 2*i + 22 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*u**2 + 618156*u - 3721140 = 0.\nAnswer: -206730\/113, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1131 by -977444.\nAnswer: 87\/75188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 14*v + 17. Let l be m(15). Suppose 0 = -l*u + 4. Let x = 120 - 596\/5. Which is smaller: u or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/sqrt(8) + -4 + -6*sqrt(98).\nAnswer: -41*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*t - 10094 = -38*t - 9*t. Let l = -15 - -36. Calculate the remainder when t is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 3*b + 4*b**3)*(0 - 2 + 0) - 3 + 3 - 4*b**3.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(320))**2 + sqrt(60)\/(sqrt(12) + sqrt(36)\/sqrt(3) + sqrt(12)).\nAnswer: -143*sqrt(5)\/3 + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -w**3*x - 62*w**3 + 3*w**2*x - 1140*w**2 + 2040*w*x - 34*w - 1679*x + 4 wrt x?\nAnswer: -w**3 + 3*w**2 + 2040*w - 1679","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a second in milliseconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 166*y - 71*y - 38*y + 178*y to b*y + n and give b.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q**2 + 1 - 1 + (2 + 2 - 6)*(-q**2 - 4*q + 4*q))*(3*q - 4*q - q) to the form z*q + s*q**2 + n*q**3 + b and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 6*(-6)\/126 + 5016\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -708975368121 minus -206?\nAnswer: -708975367915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2751 + -1354. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 10*h**2 - 13*h + 7. Let a be q(-11). Suppose -8 = -2*d + 3*j, 2*j = -3*d - 7 + 19. Suppose d*b = a + 7. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l**2 + 0*l**2 + 0*l**2)*(145*l + 209*l - 42*l)*(-2 - 5 + 5) to the form n*l + p + y*l**3 + r*l**2 and give y.\nAnswer: -1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.0000564 - -4. Round k to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69 - 45*o - 313*o + 17*o**2 - 40.\nAnswer: 17*o**2 - 358*o - 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42873238.261999662 + -42873238. Let p = -0.262 + i. What is p rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 294 divided by -98\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -11*t**2 + 0*t**7 + 0*t**6 + 0*t**4 + 0*t**3 + 0 - 3\/56*t**8 - 1\/12*t**5 + 0*t. Find the third derivative of u(l) wrt l.\nAnswer: -1080*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -7. Suppose -v - 3 = 3*n. Let h be (4\/3)\/((-4)\/n). Solve -2*o - 16 = -5*p, 0*o = -3*o + 2*p - h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from jffkxcgfgkjfkfxkk.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 390, 3, -1, 0, -2, -12.\nAnswer: -12, -2, -1, 0, 3, 390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 1452?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -91559 plus -305611?\nAnswer: -397170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1000 and 749875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j - 4*j - 4*j + 4*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 2 + 2)*(4 - 2 - 1)*(-3 - 1 + 6)*(-3*l**3 + 4*l**3 + 0*l**3).\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 10 = 0, -5*b + 15216368 + 3133642 = 5*m. Round m to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -5\/2, 0.5, -0.05 in descending order.\nAnswer: 0.5, -0.05, -2\/17, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 595 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2\/3 - 22*j + 64\/3 = 0. What is j?\nAnswer: 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - u + 2*u)*(-20214*u**2 + 20214*u**2 - 2*u**3 - 84) - 4 + 5 + u**4 + u**4.\nAnswer: -8*u**4 - 420*u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28c78 - -13?\nAnswer: 28c8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107 - 102. Let i(f) = 2*f**3 - 10*f**2 - 4*f + 9. Let s be i(p). Sort -2, 0, s in decreasing order.\nAnswer: 0, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1281 - -1396. What is the remainder when 4138 is divided by c?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/3 (b) -0.1 (c) 3\/5 (d) 67 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8050 a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23193 + -21113. What is the highest common factor of v and 4784?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 9:13 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 784 = 5*z + 2*z. Suppose 0*g + z = 4*g. Calculate the highest common factor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -5, 24, 0.1, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**2\/3 + 121310396*k\/3 = 0.\nAnswer: 0, 121310396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45762940 to the power of 1\/3, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011101110100000000 (base 2) to base 13.\nAnswer: 105b92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((-3003)\/66 - -32)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -254 + -0.063\nAnswer: -254.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 95473.2mm in micrometers?\nAnswer: 95473200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -1376 and -313.61.\nAnswer: -1689.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x - x**3 + 4*x + 0*x + (2 - 2 - 3*x)*(-4*x**2 - 3*x**2 + 5*x**2) - 17*x**3 + 24*x - 11*x + 36*x**3 as i*x + g*x**3 + d*x**2 + c and give i.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**6\/c)\/((c\/c**(-6\/11))\/c)*c**(-3\/2)\/c*c**(-1\/3)\/c*c**(-1)*c**(3\/5)*c**5*c**(-1\/4) assuming c is positive.\nAnswer: c**(3941\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from kddzddkkddk.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 10*s**2 - 12*s + 13. Let k be q(11). Suppose 0 = -k*r - 4*y - y + 1, -4*y = -4*r + 16. Solve r*h = -2*n + 4*n - 10, h = -5*n + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2922 + 2920. Sort -0.1, 148, g.\nAnswer: g, -0.1, 148","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + p**2 - p + 8. Let t be s(0). Let d = -11 + t. Let v(o) = o**2 + o - 4. What is v(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*c + 5713 = -1228539. Calculate the remainder when c is divided by 97.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**2 - h - 1. Let d(t) = 4*t**2 + 2*t + 2. Let m = -531 - -533. What is m*d(r) + 3*k(r)?\nAnswer: -4*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25274351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000889 rounded to seven dps?\nAnswer: 0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3957*z**5 + z + 67 wrt z.\nAnswer: -79140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57570, 56899, 55082, 51549, 45730, 37055?\nAnswer: 24954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 smaller than 70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 359.6*1.6\nAnswer: 575.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 915577928?\nAnswer: 2, 19, 23, 101, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -46.56*3.7\nAnswer: -172.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08676641 rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/10007544 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(2079\/66)*-1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(2\/15) - (-21)\/(-42). Suppose -144 = -t*g - 4. Solve -3*q - 2*m - 20 = 0, -q = 5*m - m + g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 245758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0341681 nanoseconds to microseconds.\nAnswer: 0.0000341681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m - 5. Let q be f(5). Suppose q = 11*l - 13*l + 4. Sort -3, 11, l.\nAnswer: -3, l, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 43229573?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8570.55 rounded to the nearest 10?\nAnswer: -8570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16174874 + -3?\nAnswer: 16174871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.275506 to 2 decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g + 20 = 0. Suppose -2*s - v = -50, 92 = 4*s - v + 5*v. Solve -3*t - i = -5, -g*t + 3*i + s = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1020 - 202?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -207298, -417567, -627834, -838099, -1048362, -1258623, -1468882?\nAnswer: -1679139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) 0.2 (c) 3.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*g + 11*g - 100. Let m(h) be the third derivative of 0*h + 0*h**4 + 0*h**6 - 1\/70*h**7 + 0*h**g - h**3 + 5*h**2 + 0. Differentiate m(a) wrt a.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*h + 5. Let m(k) = k**2 - 3*k - 5. Let a be m(h). Suppose -37 = -v - 0*v + w, -a*w = -3*v + 111. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1403.1 + 1403. Suppose 0*q + 24 = 4*q. Let i(h) = -h**2 + 9*h - 3. Let z be i(q). Is z >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72578 (base 11) in base 12?\nAnswer: 512bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j. Suppose -4 = -5*g + 26. Let m be i(g). Suppose 5*n + 5*k = 3*n + m, -8 = -4*n + 4*k. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 3. Let g be i(3). Let s(p) = -p - 3 - p + g + 3*p. What is s(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 c when two letters picked without replacement from afafcfafiaci.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.5 + 7.2. Let v = 7 + d. What is the third smallest value in v, 2\/3, -0.4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a + 6 = 0. Suppose c - 40 = a*c. Let n = c + 16. Solve -q - q = n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -b - 660. What is b rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 2:57 AM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2573*h - 4602 = -2396*h for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2157673591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.6 + 1.4. Let s(g) = g**2 - 15*g + 8. Let h be s(14). Let r be (-28)\/24 - h\/9. Which is the closest to r? (a) 0.4 (b) p (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -41*w - 31*w - 8361 - 8274 + 16557. Give b(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 914449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12375 divided by -99.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 3*s - 4*s - 9*s + 0*s - s + (2*s - 4*s + 3*s)*(-1 - 1 + 4) - 16*s + 24*s + 94*s.\nAnswer: 91*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 21*y. Let j(p) = -1157*p**2 + 108*p. Calculate j(m) - 5*w(m).\nAnswer: -1152*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.52 - 3.22. Let p = u - -2.4. Sort 0.3, 0.4, p.\nAnswer: p, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 616467, 1232907, 1849323, 2465715, 3082083, 3698427, 4314747?\n\"Answer: -12*r**2 + 616476*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b - 288 = -24*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1302735 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}